{"meta":{"query_hash":"161f016c8c89","filters":{"venue":"Acta Arithmetica"},"cohort_total":80,"direct_labels_cover":0,"predictions_cover":80,"exported":80,"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/161f016c8c89","api":"https://metacan.xera.ac/api/v1/cohort?venue=Acta+Arithmetica"},"results":[{"id":"W1042211563","doi":"10.4064/aa-93-2-177-187","title":"On rational Morley triangles","year":2000,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Mathematics and Applications","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Algebra over a field; Pure mathematics; Combinatorics","score_opus":0.047046190344823095,"score_gpt":0.32236913122757166,"score_spread":0.27532294088274856,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1042211563","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26913568,0.002748291,0.06396818,0.0052760313,0.0028016383,0.000082136256,0.00038177407,0.00032271715,0.6552835],"genre_scores_gemma":[0.8342112,0.00181096,0.012314869,0.0009100757,0.0012203805,0.00007265619,0.00036022815,0.00029930865,0.14880043],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994723,0.00011566359,0.000021426815,0.000088529574,0.00016969097,0.00013241271],"domain_scores_gemma":[0.9992888,0.000248399,0.00009043089,0.00008455655,0.00014890364,0.00013887012],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005242607,0.001043543,0.0011836602,0.0024059012,0.0028484806,0.0031183239,0.0011180472,0.001453231,0.021382049],"category_scores_gemma":[0.0023809117,0.00063348364,0.0008022449,0.0019011978,0.0028738067,0.0040097237,0.0032398428,0.0037792302,0.003388232],"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":[0.00002603572,0.0000067006335,0.00007398278,0.000019569845,0.0000036717981,0.000057081754,0.00020036423,0.00023937025,0.00033680792,0.9934476,0.0015712611,0.0040174443],"study_design_scores_gemma":[0.000013211664,0.000010091791,0.00017936045,0.000015630532,0.0000065172294,0.00011297976,0.00017836444,0.0010643648,0.00024584617,0.99028367,0.007883152,0.000006855781],"about_ca_topic_score_codex":0.0017749716,"about_ca_topic_score_gemma":0.001885653,"teacher_disagreement_score":0.021382049,"about_ca_system_score_codex":0.001561709,"about_ca_system_score_gemma":0.0003334237,"threshold_uncertainty_score":0.0715301},"labels":[],"label_agreement":null},{"id":"W1965317934","doi":"10.4064/aa-95-3-231-260","title":"Denser Egyptian fractions","year":2000,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":10,"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 Toronto","funders":"","keywords":"Mathematics","score_opus":0.0497041955373239,"score_gpt":0.35628855512685204,"score_spread":0.3065843595895281,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965317934","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6348026,0.0030767673,0.048007987,0.0021976444,0.00021719457,0.000060453753,0.0006212965,0.00037924157,0.31063688],"genre_scores_gemma":[0.95677346,0.0006686508,0.0069509693,0.00023621338,0.00008227656,0.000021443953,0.00027942448,0.000039042156,0.034948554],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995677,0.000051130726,0.000025944777,0.00010425645,0.00012450844,0.00012638718],"domain_scores_gemma":[0.99956435,0.00008581224,0.00007629752,0.0001303481,0.00010155568,0.00004164475],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040074324,0.00043486527,0.00036941245,0.0012607613,0.00140688,0.0028315913,0.00036220296,0.0005097572,0.015044225],"category_scores_gemma":[0.0011996472,0.00021630448,0.00030781876,0.0010978883,0.002827275,0.0034797285,0.0030894366,0.0009225053,0.0012801357],"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":[0.00007196263,0.000009135978,0.00046832894,0.00006241385,0.000005535066,0.00014134658,0.0010583639,0.00037343797,0.0027520338,0.9806698,0.00082099304,0.013566683],"study_design_scores_gemma":[0.000061216815,0.000056899717,0.00333187,0.00007444265,0.000028006045,0.00095596426,0.0025341923,0.0021943531,0.007887774,0.86805916,0.114775956,0.000040182666],"about_ca_topic_score_codex":0.002107281,"about_ca_topic_score_gemma":0.002045286,"teacher_disagreement_score":0.015044225,"about_ca_system_score_codex":0.0016796779,"about_ca_system_score_gemma":0.00047842335,"threshold_uncertainty_score":0.050327897},"labels":[],"label_agreement":null},{"id":"W1968249674","doi":"10.4064/aa143-1-1","title":"The two faces of the twisted Kummer surface","year":2010,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","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 du Québec à Montréal; Université de Montréal","funders":"University of Waterloo","keywords":"Mathematics; Surface (topology); Pure mathematics; Geometry","score_opus":0.0044157659413114865,"score_gpt":0.23275180129292922,"score_spread":0.22833603535161773,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1968249674","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.745751,0.0016136956,0.035587594,0.0038040946,0.0010691739,0.000070356364,0.00029209987,0.00025854426,0.21155342],"genre_scores_gemma":[0.9546465,0.00040965056,0.009504667,0.0003161974,0.00024246195,0.00002909597,0.00015628562,0.000058810514,0.03463625],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998185,0.000031894673,0.000004192801,0.000032879947,0.00006933039,0.00004319186],"domain_scores_gemma":[0.999887,0.000026914051,0.000011795682,0.000011561115,0.000025922636,0.000036826495],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018688,0.00033127356,0.00033416803,0.00071142794,0.0015229812,0.0016563043,0.00037495804,0.0010926671,0.0066197845],"category_scores_gemma":[0.000629785,0.00021318413,0.00033828826,0.00027370913,0.0016662318,0.00138292,0.0015257101,0.0017212468,0.001113977],"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":[0.00011768256,0.000020683785,0.00067176303,0.00003873811,0.000005802391,0.00089169055,0.0007414746,0.001684976,0.005829617,0.9600989,0.005493591,0.02440509],"study_design_scores_gemma":[0.00006525829,0.00012999865,0.003006332,0.00009438392,0.00002220956,0.0032326079,0.001241357,0.017181974,0.008051204,0.8951155,0.0717816,0.00007760582],"about_ca_topic_score_codex":0.0010101959,"about_ca_topic_score_gemma":0.00055987795,"teacher_disagreement_score":0.0066197845,"about_ca_system_score_codex":0.00060957624,"about_ca_system_score_gemma":0.00036652124,"threshold_uncertainty_score":0.02214539},"labels":[],"label_agreement":null},{"id":"W1969597087","doi":"10.4064/aa126-4-6","title":"Rational points on twists of X<sub>0</sub>(63)","year":2007,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics","score_opus":0.02243168795073824,"score_gpt":0.28496033659968156,"score_spread":0.2625286486489433,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969597087","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9799989,0.00007426555,0.0038726707,0.00008527898,0.000036106878,0.000016208243,0.000068047935,0.00006601536,0.015782552],"genre_scores_gemma":[0.99323153,0.00007157648,0.0012652087,0.000019386704,0.000023220158,0.000009769793,0.000115246294,0.00003146782,0.005232534],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999723,0.000041247025,0.000011158783,0.000037087204,0.00008494504,0.00010245712],"domain_scores_gemma":[0.9997235,0.00004986977,0.00007278386,0.00003968441,0.00003685564,0.00007732752],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003038282,0.0006468336,0.0004256494,0.0011438243,0.0010549638,0.0016405712,0.00029056502,0.00046243207,0.0043158107],"category_scores_gemma":[0.0008762443,0.00022727338,0.00052604196,0.00066995807,0.0016694942,0.0009559532,0.0013715227,0.0009092916,0.00068387704],"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":[0.0012609686,0.00015192141,0.01829877,0.00013595154,0.000059384336,0.005029047,0.002785573,0.010663381,0.049936976,0.86189574,0.0020721904,0.04771013],"study_design_scores_gemma":[0.00022386962,0.00088307675,0.042457454,0.00019088743,0.00009050249,0.004474232,0.0034348646,0.04420364,0.046132654,0.8294142,0.028357904,0.00013683282],"about_ca_topic_score_codex":0.0013705271,"about_ca_topic_score_gemma":0.0008564077,"teacher_disagreement_score":0.0043158107,"about_ca_system_score_codex":0.0011685871,"about_ca_system_score_gemma":0.000302447,"threshold_uncertainty_score":0.014437854},"labels":[],"label_agreement":null},{"id":"W1970109169","doi":"10.4064/aa111-3-3","title":"Average distributions and products of special values of L-series","year":2004,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; Concordia University; University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada; University of Lethbridge","keywords":"Mathematics; Series (stratigraphy); Statistics","score_opus":0.035179257360742136,"score_gpt":0.3157591673977178,"score_spread":0.2805799100369757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970109169","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69525546,0.0014671503,0.28494766,0.00075375417,0.00012293545,0.000023772447,0.00032498955,0.00043127598,0.016673109],"genre_scores_gemma":[0.97959054,0.0008685384,0.015977068,0.00007750661,0.00030430552,0.000046167006,0.00027577742,0.00016275911,0.0026974096],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981269,0.00057353225,0.00011942231,0.00046158457,0.00046322637,0.000255244],"domain_scores_gemma":[0.9763298,0.015160287,0.0027452335,0.0022701146,0.0018325159,0.0016620356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005530154,0.00065857125,0.0012556644,0.0036349143,0.0010719186,0.005216264,0.0022611753,0.0009512496,0.0053247125],"category_scores_gemma":[0.029465098,0.00070186466,0.0008908644,0.0022207533,0.004556613,0.008799269,0.002068913,0.0015061896,0.00058262644],"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":[0.00012620396,0.00003538031,0.0028398123,0.00008949456,0.000050167248,0.00013691839,0.00037315374,0.0053674267,0.0017924947,0.9786966,0.00082802895,0.009664266],"study_design_scores_gemma":[0.000011398193,0.000035007535,0.0017047063,0.000020506164,0.000022462456,0.00028489507,0.00011479317,0.02826778,0.0011166343,0.96742845,0.00096596655,0.000027370394],"about_ca_topic_score_codex":0.0003304815,"about_ca_topic_score_gemma":0.00029235985,"teacher_disagreement_score":0.005530154,"about_ca_system_score_codex":0.0014952318,"about_ca_system_score_gemma":0.00048301823,"threshold_uncertainty_score":0.029246569},"labels":[],"label_agreement":null},{"id":"W1974601014","doi":"10.4064/aa166-1-5","title":"A generalization of a theorem of Erdős–Rényi to m-fold sums and differences","year":2014,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Limits and Structures in Graph Theory","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":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Omega; Combinatorics; Generalization; Integer (computer science); Discrete mathematics; Mathematical analysis","score_opus":0.0205513266444521,"score_gpt":0.27128269285049245,"score_spread":0.25073136620604036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1974601014","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15931511,0.0032582043,0.6536931,0.0037537373,0.0014191892,0.00011493497,0.00044852804,0.00040732618,0.1775898],"genre_scores_gemma":[0.8088751,0.0026149391,0.13184878,0.002348479,0.0018398903,0.00031480927,0.00027668467,0.00026943962,0.051611926],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988073,0.00023637536,0.00008113401,0.00040160478,0.00034287188,0.00013066418],"domain_scores_gemma":[0.9982772,0.0008385953,0.00017441518,0.00034897498,0.0002244558,0.00013639363],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019803736,0.00082098565,0.00095773133,0.0018181518,0.0013376297,0.0018291692,0.0012778443,0.0009349025,0.005449678],"category_scores_gemma":[0.005124478,0.00035524755,0.0012409408,0.00137447,0.0037915206,0.007885035,0.004109073,0.0032247242,0.0011076708],"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":[0.000014205952,0.0000067372007,0.0001237022,0.000035923564,0.000004987676,0.000034065666,0.00014969095,0.0005172542,0.0007957999,0.98972064,0.0007652326,0.007831756],"study_design_scores_gemma":[0.000008155495,0.000022413726,0.00020580423,0.000014040204,0.0000062845534,0.00017865087,0.000042012078,0.0018950888,0.00088661414,0.98825294,0.008474913,0.000013134835],"about_ca_topic_score_codex":0.00048889243,"about_ca_topic_score_gemma":0.00029885178,"teacher_disagreement_score":0.005449678,"about_ca_system_score_codex":0.0012914262,"about_ca_system_score_gemma":0.0005351793,"threshold_uncertainty_score":0.018230975},"labels":[],"label_agreement":null},{"id":"W1975758747","doi":"10.4064/aa114-4-3","title":"The Erdős Theorem and the Halberstam Theorem in function fields","year":2004,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","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 Waterloo","funders":"","keywords":"Mathematics; Pure mathematics","score_opus":0.02500929468398363,"score_gpt":0.2981271806031302,"score_spread":0.2731178859191466,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975758747","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10217612,0.04354568,0.25543398,0.03184829,0.0038435613,0.00008287509,0.001148735,0.00039661647,0.56152415],"genre_scores_gemma":[0.8020882,0.038341317,0.047435835,0.0031288837,0.007192394,0.00015411952,0.00084604544,0.0002707561,0.100542545],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998406,0.00044504332,0.00011866928,0.0003303705,0.0005541673,0.00014581098],"domain_scores_gemma":[0.9965407,0.001987168,0.00033356203,0.0004175574,0.0005428868,0.0001780345],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028752787,0.0007979205,0.0012271391,0.002753563,0.0020616238,0.004005704,0.0010893849,0.0015931664,0.010376302],"category_scores_gemma":[0.0071985126,0.00048152416,0.001155269,0.0024348532,0.007064046,0.010597109,0.0032961518,0.003983713,0.0022249878],"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":[0.000018775256,0.00000416077,0.00008698481,0.000045615066,0.0000071680593,0.000033156783,0.00006880822,0.00037180504,0.00010574975,0.9908064,0.0025735195,0.005877817],"study_design_scores_gemma":[0.000010591979,0.000007033689,0.00018934836,0.000018138211,0.0000049592877,0.00008311634,0.000037814167,0.0005817819,0.00013106976,0.9860058,0.012923143,0.0000071245995],"about_ca_topic_score_codex":0.0012438014,"about_ca_topic_score_gemma":0.0007996346,"teacher_disagreement_score":0.010376302,"about_ca_system_score_codex":0.0024642153,"about_ca_system_score_gemma":0.0009795164,"threshold_uncertainty_score":0.034712195},"labels":[],"label_agreement":null},{"id":"W1986767304","doi":"10.4064/aa141-3-4","title":"Representations by sextenary quadratic forms whose coefficients are 1, 2 and 4","year":2010,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Quadratic equation; Pure mathematics; Geometry","score_opus":0.014054900837498696,"score_gpt":0.3096418877761427,"score_spread":0.295586986938644,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1986767304","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64340085,0.0008103683,0.07637535,0.003293687,0.0021400722,0.0001641805,0.00052610633,0.0008560403,0.27243337],"genre_scores_gemma":[0.86176896,0.0006266539,0.01477858,0.00087442977,0.001229833,0.000116164,0.00048069522,0.00041863276,0.11970607],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990356,0.00019208911,0.000046217552,0.000120208,0.00027962957,0.00032630615],"domain_scores_gemma":[0.9993637,0.00011742422,0.00012410739,0.00010832616,0.00012124655,0.00016510914],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008950164,0.001361085,0.0010813624,0.0028974256,0.0024953291,0.003945223,0.0015874979,0.0022329988,0.02055321],"category_scores_gemma":[0.0017512903,0.00075300573,0.0012002992,0.0019096126,0.0034227122,0.0052348995,0.002681265,0.0030985463,0.0034693812],"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":[0.000078479585,0.000036993646,0.00012745908,0.00002609188,0.000009825308,0.00014999282,0.00036325224,0.0003249791,0.001912882,0.98809904,0.0019431685,0.0069278874],"study_design_scores_gemma":[0.000050237366,0.00004841312,0.0002853506,0.000017386325,0.000012503628,0.00029354147,0.00017860957,0.0021931024,0.0010698475,0.9897305,0.006089085,0.000031408643],"about_ca_topic_score_codex":0.00057913485,"about_ca_topic_score_gemma":0.00061597826,"teacher_disagreement_score":0.02055321,"about_ca_system_score_codex":0.0012282939,"about_ca_system_score_gemma":0.00073396723,"threshold_uncertainty_score":0.068757296},"labels":[],"label_agreement":null},{"id":"W1994168519","doi":"10.4064/aa106-3-5","title":"On the counting function for the Niven numbers","year":2003,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Function (biology)","score_opus":0.05576058394559493,"score_gpt":0.31011328632515894,"score_spread":0.25435270237956403,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994168519","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20460889,0.009868942,0.38641414,0.010462484,0.0037297024,0.000088801906,0.00032934244,0.0005256266,0.38397208],"genre_scores_gemma":[0.8368552,0.0066737398,0.072905995,0.0019242931,0.0036447672,0.00028806165,0.0004524431,0.00055690744,0.07669855],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986381,0.0005773428,0.000077537006,0.00019090454,0.00032153525,0.0001945692],"domain_scores_gemma":[0.99626416,0.0022484118,0.00033532965,0.00026398076,0.0005080711,0.00038015406],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004347809,0.0016184989,0.0015746055,0.0076384493,0.004185198,0.0065981336,0.0023665337,0.002794745,0.008138985],"category_scores_gemma":[0.015300447,0.0006510551,0.0013152738,0.0049957763,0.007262554,0.012577249,0.0033365279,0.005291248,0.0018076288],"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":[0.000009203899,0.0000048092224,0.00006223362,0.000015686699,0.000001866689,0.00001789488,0.00006685161,0.00022637165,0.00009775767,0.9963247,0.00053962023,0.0026330915],"study_design_scores_gemma":[0.000004559356,0.000003826415,0.00009201316,0.000019552248,0.0000036566064,0.000044097524,0.000028725308,0.0024694395,0.000099923076,0.9951303,0.0020943629,0.0000095416435],"about_ca_topic_score_codex":0.0021161293,"about_ca_topic_score_gemma":0.0013820028,"teacher_disagreement_score":0.008138985,"about_ca_system_score_codex":0.0035702223,"about_ca_system_score_gemma":0.0015012752,"threshold_uncertainty_score":0.02722764},"labels":[],"label_agreement":null},{"id":"W1998347421","doi":"10.4064/aa140-4-5","title":"Bounds for the discrete correlation of infinite sequences on k symbols and generalized Rudin–Shapiro sequences","year":2009,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":11,"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":"Mathematics; Sequence (biology); Autocorrelation; Combinatorics; Alphabet; Discrete mathematics; Statistics","score_opus":0.02151816095719357,"score_gpt":0.27013935555273366,"score_spread":0.2486211945955401,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1998347421","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44557425,0.0031563004,0.50087243,0.0019928743,0.00015846019,0.000066737484,0.00036371103,0.00043434926,0.047380857],"genre_scores_gemma":[0.97046024,0.0010799994,0.025136322,0.0002463944,0.00026621015,0.00012757017,0.0002181924,0.00008364675,0.0023814568],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99808997,0.0005559269,0.00007864623,0.00029753614,0.00059887447,0.0003790519],"domain_scores_gemma":[0.974568,0.01875559,0.0021748452,0.0016254015,0.0014271935,0.0014488684],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003470397,0.0012826754,0.0011856142,0.0022518944,0.0010321519,0.0024682342,0.0022573434,0.0010715179,0.0032083963],"category_scores_gemma":[0.020129489,0.00055145565,0.0006488907,0.001990078,0.0049670106,0.0040748664,0.0034851776,0.0031695627,0.0006174298],"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":[0.0002696686,0.00006861329,0.0016712304,0.0001555259,0.000036052472,0.00035386407,0.000290259,0.033778623,0.005602212,0.94724023,0.0010502831,0.009483369],"study_design_scores_gemma":[0.00007328574,0.00017061575,0.0017114676,0.00016196643,0.00005228298,0.00048881886,0.00014060672,0.28704235,0.007500796,0.6999387,0.0026101856,0.00010892823],"about_ca_topic_score_codex":0.000566527,"about_ca_topic_score_gemma":0.0005136416,"teacher_disagreement_score":0.003470397,"about_ca_system_score_codex":0.0025684263,"about_ca_system_score_gemma":0.0015083877,"threshold_uncertainty_score":0.018635333},"labels":[],"label_agreement":null},{"id":"W2003792979","doi":"10.4064/aa151-1-3","title":"Lower bounds for power moments of L-functions","year":2011,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":8,"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 Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Power (physics); Moment (physics); Applied mathematics; Combinatorics","score_opus":0.09826238941929677,"score_gpt":0.34839869805783935,"score_spread":0.2501363086385426,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003792979","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38239533,0.0071744015,0.48661217,0.0070414455,0.00071888836,0.00009781021,0.0009818189,0.0016992101,0.11327901],"genre_scores_gemma":[0.97024006,0.0018831843,0.018006919,0.00045405258,0.00090684684,0.00014401655,0.00037820401,0.0003450597,0.007641691],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974164,0.0004671714,0.00011264478,0.00043215026,0.000795442,0.0007762683],"domain_scores_gemma":[0.98423344,0.01045534,0.0011962901,0.0015993053,0.0013347903,0.0011808586],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0045737494,0.0014690966,0.0015354363,0.0050482466,0.0016829162,0.0038302976,0.0027765487,0.0015989718,0.009695438],"category_scores_gemma":[0.029720837,0.0007447571,0.0016191547,0.0019137949,0.0047865137,0.0067363735,0.0042412183,0.005682662,0.0023630946],"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":[0.00039163302,0.00007533306,0.0029554372,0.00022375608,0.00004502815,0.00031460225,0.00038848154,0.009920792,0.0069792233,0.9549814,0.0028452415,0.020879138],"study_design_scores_gemma":[0.000032270036,0.00010515751,0.0027105662,0.00016695786,0.000058323752,0.0006064621,0.00013363242,0.08011768,0.012168606,0.8979687,0.0058338386,0.000097882126],"about_ca_topic_score_codex":0.0005532196,"about_ca_topic_score_gemma":0.00045074374,"teacher_disagreement_score":0.009695438,"about_ca_system_score_codex":0.003086267,"about_ca_system_score_gemma":0.0007431903,"threshold_uncertainty_score":0.032434464},"labels":[],"label_agreement":null},{"id":"W2006673603","doi":"10.4064/aa119-3-3","title":"Reductions of an elliptic curve with almost prime orders","year":2005,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":34,"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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Elliptic curve; Prime (order theory); Supersingular elliptic curve; Hessian form of an elliptic curve; Half-period ratio; Schoof's algorithm; Pure mathematics; Combinatorics; Quarter period","score_opus":0.020460532597317803,"score_gpt":0.28347326720309574,"score_spread":0.26301273460577795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2006673603","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90234405,0.0009030235,0.035825092,0.0014311787,0.00008501315,0.000103482256,0.00042784592,0.00023818892,0.05864219],"genre_scores_gemma":[0.9800276,0.00037609873,0.008523771,0.00011352785,0.00015137243,0.0000561845,0.0005241513,0.00004984616,0.010177333],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988457,0.00024686888,0.000059743757,0.00020632018,0.00034352625,0.0002978134],"domain_scores_gemma":[0.997823,0.0010064135,0.00030748738,0.00033614802,0.00024905766,0.00027788233],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010593019,0.00078669004,0.00078421185,0.0017727815,0.0017111853,0.0028237982,0.0005590799,0.0006706192,0.0048140776],"category_scores_gemma":[0.003479725,0.0004172754,0.00096309994,0.0010005116,0.003000485,0.0033059258,0.0024420947,0.0018640448,0.00086174475],"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":[0.0005102044,0.00008120773,0.0026428385,0.00012022366,0.000034890254,0.00038400208,0.00078284886,0.008440046,0.0063556824,0.9663176,0.0027616883,0.011568687],"study_design_scores_gemma":[0.00011611032,0.00021562306,0.0021702913,0.00005264905,0.000062264764,0.00070594234,0.00033049923,0.01955945,0.010940983,0.9453173,0.020476563,0.000052360236],"about_ca_topic_score_codex":0.0006903046,"about_ca_topic_score_gemma":0.000477791,"teacher_disagreement_score":0.0048140776,"about_ca_system_score_codex":0.001589321,"about_ca_system_score_gemma":0.0005676938,"threshold_uncertainty_score":0.016104758},"labels":[],"label_agreement":null},{"id":"W2032591612","doi":"10.4064/aa123-3-1","title":"Mahler's measure of a polynomial in terms of the number of its monomials","year":2006,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"College of New Caledonia","funders":"","keywords":"Mathematics; Monomial; Measure (data warehouse); Polynomial; Discrete mathematics; Combinatorics; Mathematical analysis","score_opus":0.036466521526110025,"score_gpt":0.32401574665898536,"score_spread":0.28754922513287534,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032591612","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.54322314,0.010385407,0.26748544,0.007203183,0.0017110265,0.000077256904,0.0011618433,0.0009561583,0.16779652],"genre_scores_gemma":[0.9691403,0.0019581288,0.012318444,0.0002675948,0.0015129974,0.00007563855,0.00024310796,0.00014081459,0.0143429665],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984604,0.00044301018,0.00009491262,0.00026820513,0.00057106814,0.00016239422],"domain_scores_gemma":[0.9936567,0.0035820792,0.0008278327,0.00043937657,0.0006496098,0.0008443785],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002301532,0.0012088951,0.0010695792,0.0064279167,0.0014349164,0.004321796,0.0022410867,0.001173041,0.007879368],"category_scores_gemma":[0.009343475,0.0004049813,0.00080792845,0.0023791115,0.0034573525,0.006582927,0.0019113582,0.0025708312,0.0012325082],"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":[0.00003882373,0.000012271193,0.00036306266,0.000060755006,0.000026902828,0.00003951176,0.00015709433,0.00097051286,0.0015699108,0.9917148,0.00083538896,0.0042110747],"study_design_scores_gemma":[0.000011716911,0.00006497992,0.0017855886,0.0000663154,0.0000440146,0.00042748018,0.00013060536,0.013000206,0.002426664,0.97322685,0.00873879,0.00007673597],"about_ca_topic_score_codex":0.00049719994,"about_ca_topic_score_gemma":0.000431447,"teacher_disagreement_score":0.007879368,"about_ca_system_score_codex":0.0019022205,"about_ca_system_score_gemma":0.0005466799,"threshold_uncertainty_score":0.02635914},"labels":[],"label_agreement":null},{"id":"W2033614335","doi":"10.4064/aa115-4-1","title":"The number of unsieved integers up to x","year":2004,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"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 de Montréal","funders":"American Institute of Mathematics; National Science Foundation","keywords":"Prime number; Set (abstract data type); Prime (order theory); Number theory; Upper and lower bounds; Value (mathematics)","score_opus":0.047715112772526526,"score_gpt":0.37726532617578956,"score_spread":0.329550213403263,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2033614335","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7433578,0.005888501,0.16864198,0.0073711923,0.0008383127,0.00019558398,0.0029209347,0.0022160339,0.068569705],"genre_scores_gemma":[0.824199,0.005580075,0.101999044,0.00086055085,0.000627595,0.0003900704,0.003213769,0.00046680018,0.062663026],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981445,0.00028427382,0.000150188,0.00045967408,0.0005877614,0.00037353157],"domain_scores_gemma":[0.99233025,0.004480962,0.00074640196,0.0011041042,0.0008424298,0.000495885],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017798338,0.0010573831,0.00078719243,0.0018345725,0.0019968913,0.0039207092,0.0022335397,0.0014067414,0.009739268],"category_scores_gemma":[0.013595809,0.0005865065,0.00066665024,0.0011924295,0.002855927,0.008295465,0.0022891837,0.0022458558,0.0025290933],"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":[0.0023200274,0.00026348702,0.02578477,0.0011260284,0.00011297586,0.0014517218,0.00096137973,0.016446047,0.030533895,0.66244054,0.017495802,0.24106327],"study_design_scores_gemma":[0.00016957436,0.0010744692,0.025192965,0.000854195,0.0002797558,0.007994153,0.0006722754,0.0827299,0.12824966,0.6135881,0.13886778,0.00032729263],"about_ca_topic_score_codex":0.0002274453,"about_ca_topic_score_gemma":0.00020517017,"teacher_disagreement_score":0.009739268,"about_ca_system_score_codex":0.0009835801,"about_ca_system_score_gemma":0.0008176687,"threshold_uncertainty_score":0.03258115},"labels":[],"label_agreement":null},{"id":"W2034016328","doi":"10.4064/aa117-3-3","title":"Some results concerning certain periodic continued fractions","year":2005,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field","score_opus":0.04322321075231123,"score_gpt":0.31554270072419066,"score_spread":0.27231948997187944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034016328","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4536875,0.02548266,0.15178947,0.007899288,0.003110119,0.00013845495,0.00068190193,0.0005719647,0.35663867],"genre_scores_gemma":[0.91256124,0.011996282,0.021829572,0.0013692653,0.003564923,0.0002056343,0.0006796379,0.00020537637,0.047588143],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939823,0.00012773355,0.00005253255,0.00012740155,0.00018668559,0.00010740561],"domain_scores_gemma":[0.9967272,0.0020061107,0.0003717362,0.00024206785,0.0003285301,0.00032420104],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017844755,0.0018861109,0.0015005814,0.004668031,0.0029421886,0.0038142113,0.0011545809,0.0019287906,0.00978516],"category_scores_gemma":[0.00783652,0.00069742,0.0018464852,0.0042913468,0.0041966946,0.004616833,0.00214013,0.0032665627,0.0011157799],"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":[0.000102978134,0.000030566647,0.00035319373,0.0002186514,0.000034312023,0.00047737666,0.00048273668,0.001203929,0.0013951801,0.984353,0.0019716658,0.009376463],"study_design_scores_gemma":[0.00003157761,0.000031237385,0.00035652038,0.00003546576,0.000035419118,0.00033595576,0.00009421222,0.002582666,0.0006643742,0.9903044,0.005510822,0.000017301256],"about_ca_topic_score_codex":0.00077463145,"about_ca_topic_score_gemma":0.0005545621,"teacher_disagreement_score":0.00978516,"about_ca_system_score_codex":0.0018228474,"about_ca_system_score_gemma":0.000787224,"threshold_uncertainty_score":0.032734573},"labels":[],"label_agreement":null},{"id":"W2034375115","doi":"10.4064/aa168-1-3","title":"On invariants of elliptic curves on average","year":2015,"lang":"en","type":"preprint","venue":"Acta Arithmetica","topic":"Algebraic Geometry and Number Theory","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":"University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Exponent; Elliptic curve; Good reduction; Mathematics; Prime (order theory); Modulo; Physics; Mathematical analysis","score_opus":0.063509357488333,"score_gpt":0.31625613953932863,"score_spread":0.25274678205099566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034375115","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8327986,0.002436569,0.08268864,0.0013809245,0.0003056703,0.00004799209,0.00043220905,0.0003887897,0.07952062],"genre_scores_gemma":[0.98760605,0.00091159827,0.004501939,0.00010327343,0.00051476434,0.00003202821,0.00027432424,0.000110299654,0.005945771],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988102,0.00016676793,0.00004939962,0.0002751485,0.0003458245,0.0003527334],"domain_scores_gemma":[0.99648166,0.0010759609,0.000956515,0.00034554498,0.00045402444,0.0006863281],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017147494,0.0014946702,0.0017230741,0.007846407,0.0024398048,0.0035718272,0.0013850636,0.0008836574,0.0069235405],"category_scores_gemma":[0.0044798874,0.00044324782,0.0016190461,0.0042546596,0.005111699,0.0074206805,0.0035893589,0.002886121,0.00084744184],"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":[0.00008325368,0.000054747492,0.001913358,0.000057992318,0.000023987443,0.00019211168,0.00042333774,0.0032359,0.0015354797,0.98369825,0.00091435027,0.0078672515],"study_design_scores_gemma":[0.000023700482,0.0000740106,0.0033093304,0.000057452424,0.000058635767,0.0003118391,0.00030311313,0.01841083,0.0021688791,0.97116125,0.0040745465,0.000046443045],"about_ca_topic_score_codex":0.0012603734,"about_ca_topic_score_gemma":0.0005583916,"teacher_disagreement_score":0.007846407,"about_ca_system_score_codex":0.0026986995,"about_ca_system_score_gemma":0.0006114659,"threshold_uncertainty_score":0.02316153},"labels":[],"label_agreement":null},{"id":"W2046375787","doi":"10.4064/aa118-4-1","title":"The iterated Carmichael λ-function and the number of cycles of the power generator","year":2005,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":17,"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 British Columbia","funders":"","keywords":"Mathematics; Combinatorics; Binary logarithm; Conjecture; Log-log plot; Integer (computer science); Lambda; Generator (circuit theory); Order (exchange); Iterated function; Multiplicative function; Modulo; Pseudorandom number generator; Function (biology); Discrete mathematics; Power (physics); Statistics; Mathematical analysis; Physics","score_opus":0.019601146239440807,"score_gpt":0.30644809324428457,"score_spread":0.28684694700484376,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046375787","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89941645,0.0008576092,0.07184062,0.0016189462,0.000076757395,0.000048048252,0.0001504803,0.00018182333,0.02580929],"genre_scores_gemma":[0.9845872,0.00031226611,0.010688936,0.00009009987,0.00008954078,0.00008547781,0.000076210505,0.00005221119,0.0040180804],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99940085,0.00017242193,0.000023040928,0.00014139662,0.00013617512,0.0001261259],"domain_scores_gemma":[0.9937244,0.0038195965,0.00090800144,0.00072388287,0.00039517274,0.000428958],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011990909,0.00033465994,0.00038699232,0.0011314454,0.0010405594,0.0017093974,0.00091337884,0.0005869869,0.0024190948],"category_scores_gemma":[0.00855192,0.00033600058,0.0005361394,0.00042715677,0.0031556152,0.0022644212,0.0011368364,0.0012688133,0.00041963928],"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":[0.00048390916,0.00008412786,0.009480086,0.00012838737,0.000042573305,0.0003397615,0.000507169,0.024631899,0.010518973,0.9185572,0.0022303765,0.032995563],"study_design_scores_gemma":[0.00009028818,0.00017647416,0.0052441806,0.00005831551,0.00004141365,0.0007165874,0.00012452618,0.1753093,0.016553277,0.79495835,0.006650158,0.00007719171],"about_ca_topic_score_codex":0.0008171577,"about_ca_topic_score_gemma":0.00046473858,"teacher_disagreement_score":0.0024190948,"about_ca_system_score_codex":0.001506317,"about_ca_system_score_gemma":0.0008417403,"threshold_uncertainty_score":0.010929108},"labels":[],"label_agreement":null},{"id":"W2054384161","doi":"10.4064/aa123-2-5","title":"On the number of integers represented by systems of Abelian norm forms","year":2006,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Aurora College; University of Toronto","funders":"","keywords":"Mathematics; Abelian group; Norm (philosophy); Pure mathematics; Algebra over a field","score_opus":0.026486367607330617,"score_gpt":0.3214157156034311,"score_spread":0.29492934799610043,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2054384161","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8281825,0.0012550731,0.058965463,0.0044406587,0.00080925185,0.000053331165,0.0003606847,0.00021509604,0.105717786],"genre_scores_gemma":[0.9792813,0.00048903946,0.010847001,0.00021882464,0.00048081658,0.000078968005,0.00023132775,0.000050477,0.008322182],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985423,0.0005408615,0.00009216001,0.00021641116,0.00035965466,0.00024873618],"domain_scores_gemma":[0.9918276,0.0052620484,0.0010633837,0.00044639577,0.0006867106,0.0007138951],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002431395,0.0006971948,0.0008519077,0.0031766815,0.0024908432,0.0061269784,0.0017329884,0.0016141558,0.007912844],"category_scores_gemma":[0.011927575,0.00037841234,0.0004947749,0.0018830076,0.006425395,0.008144102,0.0023593486,0.0020860478,0.0006528937],"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":[0.00012086612,0.000015239449,0.00042543412,0.000032235803,0.0000062188988,0.00003589955,0.00018606128,0.0008424499,0.0005226587,0.9933136,0.00067384104,0.0038254526],"study_design_scores_gemma":[0.000021039448,0.000020066333,0.00029679816,0.000019493487,0.000009887197,0.00009695864,0.00013383957,0.004796063,0.00047420023,0.9925466,0.0015695891,0.000015427222],"about_ca_topic_score_codex":0.00042820643,"about_ca_topic_score_gemma":0.00044255247,"teacher_disagreement_score":0.007912844,"about_ca_system_score_codex":0.0014336994,"about_ca_system_score_gemma":0.00072467484,"threshold_uncertainty_score":0.026471078},"labels":[],"label_agreement":null},{"id":"W2056308826","doi":"10.4064/aa124-2-4","title":"On the two-dimensional theta functions of the Borweins","year":2006,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field","score_opus":0.026264587308696883,"score_gpt":0.2806634861240655,"score_spread":0.2543988988153686,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2056308826","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5171995,0.0059264475,0.114661835,0.0081084,0.002203665,0.00008120449,0.00029528173,0.00037204672,0.35115153],"genre_scores_gemma":[0.93176144,0.00243983,0.017185865,0.0008157381,0.0010825874,0.00009498115,0.0001330146,0.00018561873,0.04630098],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993773,0.00023150415,0.00003503082,0.00008237651,0.00013801667,0.00013583688],"domain_scores_gemma":[0.99931026,0.00022157177,0.00010295126,0.00008992919,0.00009670038,0.00017860388],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020062497,0.0011894068,0.001082456,0.0027482805,0.002607135,0.0039248457,0.0012147612,0.0014173823,0.0072420277],"category_scores_gemma":[0.0032717648,0.0005545954,0.00081993017,0.0020107727,0.005985551,0.005319989,0.002784658,0.0034775976,0.0017006805],"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":[0.000015144172,0.0000050959075,0.000052750336,0.000007711009,0.0000016924661,0.00001739009,0.00013504009,0.00017528965,0.00013698194,0.9975311,0.0003716942,0.0015502258],"study_design_scores_gemma":[0.000015102298,0.000008165311,0.000091742346,0.000009865913,0.0000025878758,0.00003942017,0.00008296495,0.001150139,0.00010119087,0.9964896,0.0020011035,0.000008033278],"about_ca_topic_score_codex":0.0013001282,"about_ca_topic_score_gemma":0.00074569316,"teacher_disagreement_score":0.0072420277,"about_ca_system_score_codex":0.001702477,"about_ca_system_score_gemma":0.0008542056,"threshold_uncertainty_score":0.024226964},"labels":[],"label_agreement":null},{"id":"W2059010316","doi":"10.4064/aa133-4-4","title":"Transcendental values of the p-adic digamma function","year":2008,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Digamma function; Transcendental number; Mathematics; Transcendental function; Pure mathematics; Function (biology); Mathematical analysis; Riemann zeta function","score_opus":0.030568341956406096,"score_gpt":0.25270894572454133,"score_spread":0.22214060376813524,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059010316","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35514584,0.0054792697,0.08443467,0.0037517427,0.0010556789,0.000031897474,0.00038722498,0.00052957877,0.54918414],"genre_scores_gemma":[0.9603206,0.0013451845,0.007212855,0.00036269188,0.00054078404,0.000031577594,0.00013870535,0.00007461984,0.029973054],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996351,0.000092253824,0.000017751001,0.000081305865,0.0000957871,0.000077801094],"domain_scores_gemma":[0.9992643,0.00028058162,0.000075015494,0.00010256943,0.00012470664,0.00015278925],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006548729,0.0010720509,0.0006514815,0.003922652,0.001967885,0.003912026,0.001139134,0.0009867568,0.0064254445],"category_scores_gemma":[0.0023389272,0.0003656714,0.0005048058,0.002016815,0.0035267381,0.0038340474,0.001616396,0.002534757,0.0019731796],"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":[0.00003122875,0.0000111370455,0.00014751482,0.0000301129,0.000007157176,0.00012802701,0.00012591838,0.00035066067,0.00096337026,0.98935205,0.001065856,0.007787025],"study_design_scores_gemma":[0.0000093616045,0.000010084037,0.00025524272,0.000014873169,0.0000075298035,0.0002753656,0.000046864214,0.001306703,0.0008617281,0.9925869,0.004610752,0.000014706088],"about_ca_topic_score_codex":0.0005310258,"about_ca_topic_score_gemma":0.00046734608,"teacher_disagreement_score":0.0064254445,"about_ca_system_score_codex":0.0016398184,"about_ca_system_score_gemma":0.0005574665,"threshold_uncertainty_score":0.021495223},"labels":[],"label_agreement":null},{"id":"W2059899092","doi":"10.4064/aa135-4-3","title":"Seven octonary quadratic forms","year":2008,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Quadratic equation; Pure mathematics; Geometry","score_opus":0.06447480088149796,"score_gpt":0.32049041360060904,"score_spread":0.2560156127191111,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059899092","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32764745,0.00061179383,0.04531314,0.0037965742,0.003346427,0.00020433709,0.0004458657,0.00041957365,0.6182148],"genre_scores_gemma":[0.7569424,0.00061061094,0.017596977,0.0011236573,0.0008643987,0.00013405233,0.00044309327,0.00029527888,0.22198957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992768,0.00009133326,0.0000334397,0.0000826113,0.0003030951,0.00021271556],"domain_scores_gemma":[0.99949133,0.00006209664,0.00004655052,0.000060935025,0.00016387785,0.00017519681],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007290311,0.0012185675,0.00092384714,0.0034013856,0.0042059408,0.0037892498,0.0014437264,0.0017083505,0.022144921],"category_scores_gemma":[0.00128466,0.0004888363,0.0008826963,0.0020852846,0.0040956517,0.003224485,0.0027233062,0.004465441,0.0048322272],"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":[0.000035039946,0.000019177854,0.0000894715,0.000018894525,0.0000038641642,0.00011726693,0.00015423549,0.00010319577,0.0007270847,0.99258715,0.0014836199,0.0046609947],"study_design_scores_gemma":[0.00005136232,0.000056359066,0.00061590807,0.000032731958,0.000018013681,0.00046881428,0.0004384766,0.0013274478,0.0018076779,0.9641925,0.03094944,0.000041289957],"about_ca_topic_score_codex":0.0010116121,"about_ca_topic_score_gemma":0.0012032487,"teacher_disagreement_score":0.022144921,"about_ca_system_score_codex":0.0022731295,"about_ca_system_score_gemma":0.0011971992,"threshold_uncertainty_score":0.074082136},"labels":[],"label_agreement":null},{"id":"W2059995019","doi":"10.4064/aa155-3-6","title":"Linear independence of Hurwitz zeta values and a theorem of Baker–Birch–Wirsing over number fields","year":2012,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Independence (probability theory); Pure mathematics; Algebraic number field; Mathematical analysis; Statistics","score_opus":0.046205709274759525,"score_gpt":0.363922449209477,"score_spread":0.31771673993471744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059995019","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5246063,0.0038858382,0.2147679,0.0066662463,0.00089196867,0.00008136767,0.00079781923,0.00066371734,0.24763888],"genre_scores_gemma":[0.96664757,0.0009641197,0.0064855875,0.00076665875,0.0012087754,0.00007692458,0.00045662824,0.0001498361,0.023243884],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99783605,0.0004239021,0.00008627039,0.00046635547,0.00073598156,0.00045156386],"domain_scores_gemma":[0.99259394,0.0044856216,0.0005871083,0.00069035613,0.00090617436,0.0007368245],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021435327,0.001019027,0.0014371079,0.003663587,0.002384338,0.0029055192,0.0017188984,0.0009008187,0.008827478],"category_scores_gemma":[0.009248515,0.0010207114,0.0014226787,0.0024482647,0.0061551263,0.0068410328,0.0044932556,0.0050858487,0.0014637525],"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":[0.00009739099,0.000022784117,0.000540684,0.000056750592,0.00002088799,0.00008086365,0.00029229632,0.00045561497,0.0008131415,0.991163,0.0016964689,0.004760117],"study_design_scores_gemma":[0.000023696202,0.000018348695,0.0007760936,0.000013477477,0.000019951309,0.00009620522,0.000049524235,0.0021117425,0.0007606918,0.99455076,0.0015589335,0.000020536045],"about_ca_topic_score_codex":0.0010992949,"about_ca_topic_score_gemma":0.000769818,"teacher_disagreement_score":0.008827478,"about_ca_system_score_codex":0.0015174962,"about_ca_system_score_gemma":0.0008942543,"threshold_uncertainty_score":0.029530883},"labels":[],"label_agreement":null},{"id":"W2061537521","doi":"10.4064/aa140-2-2","title":"Stern polynomials and double-limit continued fractions","year":2009,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Stern; Limit (mathematics); Combinatorics; Arithmetic; Mathematical analysis; Ancient history; History","score_opus":0.046150788239545666,"score_gpt":0.3265815741554207,"score_spread":0.28043078591587506,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061537521","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6763214,0.009054595,0.14192285,0.00514602,0.00091154076,0.000050287155,0.00022565293,0.00035855663,0.16600911],"genre_scores_gemma":[0.97134745,0.0018418725,0.0057808934,0.00018236504,0.0005437715,0.000029059243,0.000059836864,0.000042347292,0.020172365],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997273,0.00006319099,0.000014196464,0.000044743403,0.00009427047,0.000056253048],"domain_scores_gemma":[0.9988482,0.0005245342,0.00019216209,0.00010840903,0.00015944734,0.00016723505],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007878356,0.0007538519,0.00068737054,0.0022780534,0.0014232425,0.0031093128,0.00061200606,0.0010791149,0.0047535687],"category_scores_gemma":[0.0041664084,0.00029724828,0.000586799,0.0012614231,0.0036781717,0.0038937721,0.001506688,0.0019552426,0.00068035914],"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":[0.000014714183,0.0000043474142,0.000071770075,0.000009697613,0.0000020819355,0.000042249878,0.0001158776,0.00044230223,0.0003244603,0.9972875,0.00025033977,0.001434642],"study_design_scores_gemma":[0.000008665823,0.0000058801083,0.000119198325,0.000005346134,0.000003480591,0.00009273582,0.000054639364,0.0026160113,0.00021085722,0.9952036,0.0016722747,0.0000072228963],"about_ca_topic_score_codex":0.00082054257,"about_ca_topic_score_gemma":0.00052491523,"teacher_disagreement_score":0.0047535687,"about_ca_system_score_codex":0.0013900581,"about_ca_system_score_gemma":0.0006060832,"threshold_uncertainty_score":0.015902221},"labels":[],"label_agreement":null},{"id":"W2068023471","doi":"10.4064/aa129-2-4","title":"A quadratic lower bound for subset sums","year":2007,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Univerza v Ljubljani; Javna Agencija za Raziskovalno Dejavnost RS; Univerzita Karlova v Praze","keywords":"Mathematics; Combinatorics; Sigma; Abelian group; Prime (order theory); Constant (computer programming); Upper and lower bounds; Group (periodic table); Quadratic equation; Set (abstract data type); Discrete mathematics; Geometry; Physics; Mathematical analysis","score_opus":0.03561180794295817,"score_gpt":0.32903027249344613,"score_spread":0.293418464550488,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068023471","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35804343,0.008038118,0.29122883,0.009690968,0.0007357367,0.000117187716,0.0017243148,0.0009381283,0.32948333],"genre_scores_gemma":[0.9105477,0.0022959516,0.02912366,0.0016955665,0.0017137905,0.00026068336,0.0016218306,0.00041132595,0.052329488],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99696404,0.0004776412,0.00012478507,0.00055850705,0.0013360553,0.0005389135],"domain_scores_gemma":[0.9911343,0.0061738403,0.00043199238,0.0006806864,0.000872706,0.00070647197],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002742573,0.00095798145,0.0015276326,0.0034239502,0.002665969,0.0046061426,0.0021297764,0.001231861,0.016141389],"category_scores_gemma":[0.011636355,0.0006272843,0.0011197723,0.0029851967,0.0029761065,0.008930102,0.005073734,0.003963456,0.0021890637],"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":[0.0001659284,0.00006917703,0.0014953096,0.00020391041,0.000040432504,0.00020281794,0.00038027926,0.004141283,0.0024849027,0.96540916,0.0064380155,0.018968893],"study_design_scores_gemma":[0.00002629741,0.00006666961,0.0010461959,0.000060744536,0.000041560023,0.00029980345,0.00007230074,0.0321617,0.001459729,0.9544683,0.010269424,0.000027163402],"about_ca_topic_score_codex":0.0011349028,"about_ca_topic_score_gemma":0.0010271363,"teacher_disagreement_score":0.016141389,"about_ca_system_score_codex":0.0029406967,"about_ca_system_score_gemma":0.00074727484,"threshold_uncertainty_score":0.05399829},"labels":[],"label_agreement":null},{"id":"W2082604666","doi":"10.4064/aa97-2-6","title":"An arithmetic criterion for the values of the exponential function","year":2001,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Exponential function; Arithmetic; Function (biology); Double exponential function; Arithmetic function; Applied mathematics; Statistics; Discrete mathematics; Mathematical analysis","score_opus":0.03425775338424866,"score_gpt":0.3046380812416054,"score_spread":0.2703803278573568,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082604666","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28587607,0.0031725774,0.43261722,0.0064561954,0.0011375508,0.00009546908,0.0005494073,0.00054379576,0.26955158],"genre_scores_gemma":[0.91909504,0.0010673584,0.050717685,0.0006298947,0.0013751325,0.00013297946,0.00057099876,0.0002915712,0.026119389],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853086,0.00039857553,0.000109361645,0.00027504034,0.00046047056,0.00022569117],"domain_scores_gemma":[0.99133533,0.004863024,0.00046216894,0.00060794264,0.0021040442,0.0006275019],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029090743,0.0010773153,0.0009899111,0.004262802,0.0020834089,0.0045477757,0.0020607589,0.0020774445,0.005869316],"category_scores_gemma":[0.017885461,0.00045307018,0.0005872703,0.0019229824,0.005965334,0.008025896,0.0037203883,0.0037878372,0.0021015012],"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":[0.000044417615,0.000009067058,0.0002817934,0.000028809225,0.000002811553,0.000044593966,0.000072966446,0.00078884186,0.0011165432,0.9913025,0.0011465492,0.0051612067],"study_design_scores_gemma":[0.000013557911,0.000032284366,0.0004188999,0.00003556025,0.000006393936,0.00013291626,0.000088494315,0.005625709,0.001402232,0.9857363,0.0064829397,0.000024699706],"about_ca_topic_score_codex":0.00044597127,"about_ca_topic_score_gemma":0.00033599546,"teacher_disagreement_score":0.005869316,"about_ca_system_score_codex":0.0013471633,"about_ca_system_score_gemma":0.0009808041,"threshold_uncertainty_score":0.019634843},"labels":[],"label_agreement":null},{"id":"W2083492767","doi":"10.4064/aa137-3-6","title":"On the logarithmic derivatives of Dirichlet L-functions at s=1","year":2009,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Chuo University","keywords":"Mathematics; Logarithm; Dirichlet distribution; Pure mathematics; Mathematical analysis","score_opus":0.05648449539050098,"score_gpt":0.33591486818339206,"score_spread":0.27943037279289107,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2083492767","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6018319,0.0052649956,0.110555336,0.011279764,0.0016674567,0.0000823737,0.0003174198,0.0008491143,0.26815158],"genre_scores_gemma":[0.94943935,0.0022366513,0.009242958,0.0007107408,0.0011617434,0.00006098564,0.00023923613,0.00036546605,0.036542967],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989617,0.0003873865,0.000045560002,0.00013406086,0.00024890475,0.00022240868],"domain_scores_gemma":[0.9955923,0.0017888992,0.0005638068,0.00028524833,0.0006035528,0.0011662897],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030669093,0.0020864457,0.0012785066,0.007842424,0.0029454639,0.0053399904,0.0028281289,0.0024934937,0.011524901],"category_scores_gemma":[0.014705547,0.00072777324,0.00092821725,0.002889371,0.0077343783,0.008024969,0.0035517649,0.004628277,0.0019320098],"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":[0.00011089168,0.000034414712,0.00035216377,0.00006139429,0.000007087317,0.00014404803,0.0003589284,0.0019135576,0.0011259705,0.9896473,0.0011511826,0.0050930767],"study_design_scores_gemma":[0.0000303934,0.000026191154,0.00078688754,0.000060304348,0.0000094961615,0.0001981188,0.00014249046,0.016442634,0.0006382601,0.97979087,0.0018319561,0.000042446773],"about_ca_topic_score_codex":0.0014453889,"about_ca_topic_score_gemma":0.0010826467,"teacher_disagreement_score":0.011524901,"about_ca_system_score_codex":0.003994774,"about_ca_system_score_gemma":0.0013773377,"threshold_uncertainty_score":0.03855461},"labels":[],"label_agreement":null},{"id":"W2092402365","doi":"10.4064/aa134-4-1","title":"Squares in arithmetic progression with at most two terms omitted","year":2008,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Arithmetic; Arithmetic progression; Statistics; Algebra over a field; Discrete mathematics; Pure mathematics","score_opus":0.033553322352424024,"score_gpt":0.2992913290774804,"score_spread":0.2657380067250564,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2092402365","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11844725,0.003987855,0.2871885,0.01057726,0.0054034074,0.00017537427,0.00085825456,0.0017363867,0.57162577],"genre_scores_gemma":[0.6637332,0.0020262988,0.11088782,0.002214581,0.0015496846,0.00023540627,0.00057893014,0.0009984716,0.21777554],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99786264,0.0006793911,0.00017056143,0.00048672134,0.0004957161,0.00030501236],"domain_scores_gemma":[0.9950891,0.0029858646,0.0002583857,0.0006649644,0.00074485125,0.00025682792],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015017964,0.0008560022,0.0012297068,0.0012739004,0.0041496237,0.0035264266,0.0013435616,0.0015335848,0.020804383],"category_scores_gemma":[0.008538733,0.0009022279,0.0010750117,0.0025905345,0.007225984,0.007612714,0.00337289,0.006527368,0.007626665],"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":[0.0000968594,0.000019489176,0.00012979897,0.00009561243,0.0000063646826,0.00025236374,0.00044682444,0.0004064222,0.0009501613,0.9789113,0.0065679033,0.012116845],"study_design_scores_gemma":[0.000030766216,0.000022032838,0.00012374003,0.000021563663,0.000011655598,0.00024057072,0.000107039166,0.00065864,0.0013730411,0.9712135,0.026176807,0.000020767],"about_ca_topic_score_codex":0.0014251439,"about_ca_topic_score_gemma":0.0015389815,"teacher_disagreement_score":0.020804383,"about_ca_system_score_codex":0.0012517375,"about_ca_system_score_gemma":0.0014046999,"threshold_uncertainty_score":0.06959754},"labels":[],"label_agreement":null},{"id":"W2102413579","doi":"10.4064/aa102-4-6","title":"The genera representing a positive integer","year":2002,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Integer (computer science); Combinatorics; Discrete mathematics; Computer science","score_opus":0.05188986403763801,"score_gpt":0.3015290036975978,"score_spread":0.24963913965995976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2102413579","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38684437,0.0020530953,0.09140912,0.004977988,0.003494488,0.00015477349,0.0005545866,0.00083866273,0.5096729],"genre_scores_gemma":[0.90199196,0.0018564368,0.025080372,0.00087958307,0.0014370629,0.00026593258,0.00032306588,0.00038924356,0.06777646],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99931824,0.00015789396,0.000038762013,0.00013199441,0.00015018361,0.00020289961],"domain_scores_gemma":[0.99904066,0.0003335328,0.00017773562,0.00013860677,0.00016232506,0.0001471145],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00078754814,0.0014588619,0.00095177494,0.0041353265,0.003958478,0.0046199937,0.0012041149,0.0018603491,0.008370612],"category_scores_gemma":[0.0031558073,0.0005549396,0.0009375598,0.0023534815,0.004769807,0.005369631,0.002256986,0.0036765346,0.001963238],"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":[0.000036263733,0.0000076412525,0.00008683047,0.000024406345,0.000004168669,0.00010394695,0.0003172588,0.00014254714,0.00088338094,0.9899204,0.001402877,0.0070702094],"study_design_scores_gemma":[0.000015911444,0.000028591698,0.00018479169,0.000039256865,0.00001642674,0.00033185838,0.00021639492,0.0008538702,0.0008931167,0.9804335,0.016964199,0.000021978452],"about_ca_topic_score_codex":0.00030660708,"about_ca_topic_score_gemma":0.00035333872,"teacher_disagreement_score":0.008370612,"about_ca_system_score_codex":0.0011147998,"about_ca_system_score_gemma":0.000571627,"threshold_uncertainty_score":0.0280025},"labels":[],"label_agreement":null},{"id":"W2133974350","doi":"10.4064/aa130-3-5","title":"Nineteen quaternary quadratic forms","year":2007,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Mathematics and Applications","field":"Mathematics","cited_by":57,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Quaternary; Quadratic equation; Pure mathematics; Geometry; Paleontology; Geology","score_opus":0.0453173504742058,"score_gpt":0.341081395826498,"score_spread":0.29576404535229217,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2133974350","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.435506,0.00087862887,0.014560528,0.0017571052,0.0011019277,0.00016486424,0.0012399814,0.00035637294,0.54443467],"genre_scores_gemma":[0.8496883,0.0006120713,0.0077270456,0.00037249277,0.00019455342,0.00006549258,0.0008095311,0.000095663745,0.1404348],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99969757,0.00003106958,0.000018840054,0.000051823365,0.000095817944,0.00010495099],"domain_scores_gemma":[0.99971324,0.000042063788,0.000032141194,0.000044138924,0.000095910684,0.00007237869],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003420483,0.0004406783,0.00051638647,0.0012361082,0.00340156,0.0014358384,0.00055846473,0.0005403383,0.043056995],"category_scores_gemma":[0.00088799023,0.00019908801,0.0003003691,0.001595752,0.0012847626,0.0010956998,0.0013676345,0.00097294844,0.0065338183],"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":[0.00021115993,0.00006893831,0.0010901327,0.0001571169,0.000008836414,0.0005205352,0.0010305807,0.00033369404,0.0050121606,0.92846483,0.012142513,0.05095952],"study_design_scores_gemma":[0.00012010284,0.00031218093,0.004362335,0.000113514325,0.000038773906,0.0013260497,0.0013397923,0.0013169431,0.008400328,0.533902,0.4486982,0.00006972776],"about_ca_topic_score_codex":0.00057049183,"about_ca_topic_score_gemma":0.00094703777,"teacher_disagreement_score":0.043056995,"about_ca_system_score_codex":0.0010903666,"about_ca_system_score_gemma":0.0007209744,"threshold_uncertainty_score":0.14403999},"labels":[],"label_agreement":null},{"id":"W2158239665","doi":"10.4064/aa104-1-2","title":"A restricted Epstein zeta function and the evaluation of some definite integrals","year":2002,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Positive-definite matrix; Pure mathematics; Riemann zeta function; Function (biology); Mathematical analysis; Eigenvalues and eigenvectors; Quantum mechanics; Physics","score_opus":0.12340576047057125,"score_gpt":0.33073101611498995,"score_spread":0.2073252556444187,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2158239665","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6204484,0.0026931495,0.20432287,0.0026514553,0.0005315006,0.000041341016,0.00010810115,0.00030448975,0.16889873],"genre_scores_gemma":[0.9587653,0.0007362863,0.012266249,0.00014536714,0.00023281058,0.000023887045,0.000049386334,0.00009302973,0.027687667],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995426,0.00015205704,0.000022131353,0.000044674256,0.00016059061,0.00007789902],"domain_scores_gemma":[0.9991941,0.00034212178,0.000088196204,0.00007870208,0.00015487231,0.00014212356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017067483,0.0007012723,0.0006007911,0.002074782,0.0012945795,0.0030102117,0.0009889021,0.001043377,0.0043848422],"category_scores_gemma":[0.005044028,0.00038613204,0.00047710512,0.0010353319,0.0030544882,0.004587647,0.0014114301,0.0019646727,0.0007109393],"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":[0.000023764918,0.0000102749655,0.00012640936,0.000016140435,0.000003790728,0.00007841484,0.0001361854,0.0005198204,0.0007065262,0.9955237,0.00029785023,0.0025570889],"study_design_scores_gemma":[0.000008056452,0.0000099363015,0.00017581906,0.000012227898,0.000005134661,0.00011819489,0.0000759873,0.0062995176,0.0006247348,0.9911947,0.0014639004,0.000011831314],"about_ca_topic_score_codex":0.00074154866,"about_ca_topic_score_gemma":0.0005671378,"teacher_disagreement_score":0.0043848422,"about_ca_system_score_codex":0.001315587,"about_ca_system_score_gemma":0.00055920595,"threshold_uncertainty_score":0.014668763},"labels":[],"label_agreement":null},{"id":"W2316964216","doi":"10.4064/aa159-3-5","title":"Corrigendum to: ``Improvements on the star discrepancy of (t,s)-sequences\" (Acta Arith. 154 (2012), 61–78)","year":2013,"lang":"en","type":"erratum","venue":"Acta Arithmetica","topic":"Mathematical Approximation and Integration","field":"Mathematics","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":"Mathematics; Star (game theory); Calculus (dental); Pure mathematics; Mathematical analysis; Medicine; Orthodontics","score_opus":0.06547916912389778,"score_gpt":0.3057545125322735,"score_spread":0.2402753434083757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2316964216","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0007824162,0.006277042,0.011738566,0.06980901,0.8653344,0.000058080164,0.002202244,0.001558641,0.04223954],"genre_scores_gemma":[0.05124233,0.01540084,0.03127449,0.069881715,0.19811562,0.0003669692,0.006674096,0.0064471015,0.6205968],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9970886,0.00064221537,0.00027260405,0.00057583273,0.0011824163,0.00023840566],"domain_scores_gemma":[0.9897855,0.0025798213,0.00033083398,0.00096939236,0.00588241,0.0004521671],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028794568,0.0018838,0.0020846594,0.0028921734,0.0024338192,0.002846494,0.0028295924,0.0025472208,0.12786269],"category_scores_gemma":[0.02344318,0.00091082166,0.0017920195,0.0021823705,0.0022417372,0.0038850855,0.0025063108,0.006443232,0.06068533],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044049553,0.000014531335,0.00007527813,0.00017751667,0.000020153648,0.00007640804,0.00003514674,0.000139157,0.00017818679,0.0063637006,0.9819656,0.010910244],"study_design_scores_gemma":[0.000039196486,0.000051015053,0.0013720817,0.00022136379,0.00006633957,0.0003336913,0.000073463285,0.0015538102,0.0011260778,0.023422394,0.9716652,0.00007547334],"about_ca_topic_score_codex":0.00836079,"about_ca_topic_score_gemma":0.010358532,"teacher_disagreement_score":0.12786269,"about_ca_system_score_codex":0.004996364,"about_ca_system_score_gemma":0.0016548613,"threshold_uncertainty_score":0.42774332},"labels":[],"label_agreement":null},{"id":"W2329978810","doi":"10.4064/aa156-1-5","title":"Simultaneous approximation to a real number and to its cube by rational numbers","year":2012,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Iterative Methods for Nonlinear Equations","field":"Mathematics","cited_by":2,"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 Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cube (algebra); Rational number; Real number; Combinatorics; Arithmetic","score_opus":0.05149925703681646,"score_gpt":0.38198310548438325,"score_spread":0.3304838484475668,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2329978810","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2013745,0.0016250414,0.7651811,0.00074825156,0.00016268998,0.000043028915,0.000093066,0.00021325216,0.030559074],"genre_scores_gemma":[0.8650336,0.0018356094,0.12534215,0.00022626396,0.00016707541,0.00008801939,0.00012334734,0.00011894926,0.0070650806],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99811375,0.00046743918,0.00009038522,0.00038776558,0.00070364465,0.00023700096],"domain_scores_gemma":[0.9963315,0.0023255278,0.00034438056,0.0005004446,0.0004026107,0.0000954945],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016555067,0.0006418218,0.0007242123,0.0010326117,0.0004183454,0.0016308677,0.0007788048,0.000402257,0.0025883855],"category_scores_gemma":[0.012045787,0.00030583577,0.00092950184,0.00093286566,0.0024612702,0.0036155512,0.0023264163,0.00206861,0.0007839993],"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":[0.00025711025,0.000020720803,0.0017528855,0.00013761647,0.000040748735,0.00029622458,0.00057773635,0.036713447,0.008758337,0.908667,0.0011814045,0.041596733],"study_design_scores_gemma":[0.00003934468,0.00016448757,0.0013645911,0.0000855039,0.00005207513,0.0006116912,0.0001854999,0.31782565,0.013491644,0.652993,0.013128982,0.000057575166],"about_ca_topic_score_codex":0.0010646391,"about_ca_topic_score_gemma":0.00053829415,"teacher_disagreement_score":0.0025883855,"about_ca_system_score_codex":0.0010946707,"about_ca_system_score_gemma":0.0005184752,"threshold_uncertainty_score":0.008755267},"labels":[],"label_agreement":null},{"id":"W2330042366","doi":"10.4064/aa158-1-5","title":"Quadratic forms and a product-to-sum formula","year":2013,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Product (mathematics); Combinatorics; Quadratic equation; Gauss sum; Geometry","score_opus":0.03676501934409473,"score_gpt":0.3264151338057015,"score_spread":0.28965011446160677,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2330042366","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36413994,0.0019271006,0.16477369,0.008321534,0.001366308,0.0000717306,0.00035838803,0.00046285402,0.4585784],"genre_scores_gemma":[0.9113161,0.00060890324,0.024922013,0.0012486201,0.0009184845,0.00006229077,0.00023205733,0.00018130717,0.060510132],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99909914,0.00016958121,0.000042546257,0.0001598248,0.00036449247,0.00016454895],"domain_scores_gemma":[0.998801,0.00047722837,0.000088671564,0.00013050855,0.00033227098,0.00017023439],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011798206,0.0006744598,0.00062298204,0.0014950723,0.0019668823,0.0020537933,0.0011735209,0.001001375,0.0097409235],"category_scores_gemma":[0.003936381,0.00041300064,0.00088516326,0.0013422269,0.003809719,0.004637924,0.0028653366,0.0031295547,0.0015735608],"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":[0.000013007621,0.000011356729,0.000106101805,0.00001651827,0.000003639826,0.000055705535,0.00009258337,0.00026493584,0.00045772444,0.9942907,0.0014897087,0.0031979545],"study_design_scores_gemma":[0.000012233823,0.000021081902,0.0002389821,0.00000784856,0.0000071013505,0.00013057528,0.000031084495,0.004599539,0.0004568428,0.9907505,0.0037338145,0.000010484981],"about_ca_topic_score_codex":0.001271111,"about_ca_topic_score_gemma":0.0010180658,"teacher_disagreement_score":0.0097409235,"about_ca_system_score_codex":0.0014152351,"about_ca_system_score_gemma":0.00059488945,"threshold_uncertainty_score":0.032586634},"labels":[],"label_agreement":null},{"id":"W2331024215","doi":"10.4064/aa146-3-3","title":"Exponential sums involving the largest prime factor function","year":2010,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Exponential function; Factor (programming language); Prime factor; Prime (order theory); Function (biology); Double exponential function; Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.0479173787428191,"score_gpt":0.3255046069811471,"score_spread":0.277587228238328,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2331024215","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44211864,0.006978956,0.28198728,0.005653195,0.0020422866,0.00007025253,0.00040517488,0.000665476,0.26007867],"genre_scores_gemma":[0.92813885,0.0035303305,0.022359509,0.00053722435,0.0021969932,0.00006619402,0.0002510335,0.00026623628,0.042653713],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890697,0.00025475596,0.000061589126,0.00023363098,0.000377404,0.00016570854],"domain_scores_gemma":[0.9954165,0.0028716861,0.00037537861,0.0005009721,0.00050153426,0.0003339441],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018685368,0.0013339523,0.0011296425,0.0024294518,0.0014738322,0.003929957,0.0012731119,0.0014271832,0.009473074],"category_scores_gemma":[0.012167624,0.0005131488,0.0008230359,0.001955601,0.0040749614,0.009603559,0.0027470067,0.0031991103,0.0020123713],"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":[0.00007736764,0.000017460265,0.00033708528,0.000090403984,0.000011427746,0.00015769215,0.00014920741,0.000981554,0.0012508362,0.98485696,0.0016788356,0.010391161],"study_design_scores_gemma":[0.000010758613,0.000012231108,0.00022769306,0.00002088418,0.000015810623,0.00038232352,0.000040859104,0.0025459821,0.0010855126,0.99289024,0.0027540172,0.000013719698],"about_ca_topic_score_codex":0.00024134044,"about_ca_topic_score_gemma":0.00023893162,"teacher_disagreement_score":0.009473074,"about_ca_system_score_codex":0.0010503122,"about_ca_system_score_gemma":0.00066526595,"threshold_uncertainty_score":0.031690657},"labels":[],"label_agreement":null},{"id":"W2432850251","doi":"10.4064/aa8111-3-2016","title":"Higher Mahler measure of an $n$-variable family","year":2016,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":7,"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 de Montréal","funders":"","keywords":"Mathematics; Measure (data warehouse); Variable (mathematics); Pure mathematics; Mathematical analysis","score_opus":0.05801810307656212,"score_gpt":0.3106337434332416,"score_spread":0.2526156403566795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2432850251","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.644698,0.0019080148,0.23697504,0.0022703074,0.00034783603,0.000036773417,0.00035383328,0.00035226395,0.11305792],"genre_scores_gemma":[0.97354025,0.00044739852,0.01599232,0.0001641287,0.00021763972,0.00004357928,0.00009220887,0.00008998485,0.009412498],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992372,0.00014229745,0.00003520225,0.00017143606,0.0002641443,0.00014972268],"domain_scores_gemma":[0.99846196,0.00067377207,0.00021628132,0.0001530374,0.00026618966,0.00022879268],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00096086686,0.000566536,0.00064190075,0.002463634,0.001516745,0.002341178,0.0013723111,0.0008155874,0.0060497094],"category_scores_gemma":[0.0035837828,0.00033369494,0.0009296622,0.0009029997,0.0024066106,0.004222668,0.0015874675,0.0021182802,0.00078264263],"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":[0.0000210525,0.000008830507,0.0005178484,0.000029671091,0.000010661075,0.0001240681,0.00015002451,0.0010095013,0.0014091382,0.99303824,0.00048757,0.0031934066],"study_design_scores_gemma":[0.000009953125,0.000022685646,0.001101199,0.000024597974,0.000018683337,0.00038830264,0.0000847474,0.016323762,0.0019864927,0.9760025,0.004000215,0.000036945585],"about_ca_topic_score_codex":0.00072741165,"about_ca_topic_score_gemma":0.00054792454,"teacher_disagreement_score":0.0060497094,"about_ca_system_score_codex":0.0020721161,"about_ca_system_score_gemma":0.0004673532,"threshold_uncertainty_score":0.02023834},"labels":[],"label_agreement":null},{"id":"W2523739031","doi":"10.4064/aa8228-5-2016","title":"On the structure of long unsplittable minimal zero-sum sequences","year":2016,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brock University","funders":"","keywords":"Mathematics; Combinatorics; Zero (linguistics); Abelian group; Order (exchange); Discrete mathematics","score_opus":0.011380642454377522,"score_gpt":0.22125090047260387,"score_spread":0.20987025801822634,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2523739031","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97796977,0.0003095799,0.011054947,0.0002016572,0.000021740025,0.000012687534,0.00012230473,0.000058414942,0.010248887],"genre_scores_gemma":[0.99024326,0.00022580779,0.0044414503,0.00005098623,0.000049045833,0.0000277086,0.00023984359,0.000029781128,0.00469227],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998473,0.00002650084,0.0000098813025,0.000025214362,0.00004234091,0.000048704078],"domain_scores_gemma":[0.99915266,0.0003248765,0.00024127652,0.000057233097,0.00009941937,0.00012450613],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023246485,0.00041007614,0.00027498507,0.0011822049,0.0007780504,0.0010828597,0.00048851,0.00042389546,0.0031816894],"category_scores_gemma":[0.0011441583,0.00019799985,0.00019126873,0.0007322343,0.0012035382,0.0016981256,0.0008740616,0.0006850538,0.0005818157],"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":[0.0006234968,0.00011079952,0.0030129955,0.00017494046,0.000015887692,0.0008149111,0.0016697703,0.0064434754,0.038800504,0.9178381,0.0011492752,0.029345853],"study_design_scores_gemma":[0.000054246506,0.00023162563,0.0028764543,0.00006342887,0.000022693153,0.0005380539,0.0005731893,0.015965715,0.018538842,0.9562782,0.0048040994,0.000053495965],"about_ca_topic_score_codex":0.00030440863,"about_ca_topic_score_gemma":0.00033567575,"teacher_disagreement_score":0.0031816894,"about_ca_system_score_codex":0.00042389304,"about_ca_system_score_gemma":0.00027774693,"threshold_uncertainty_score":0.01064384},"labels":[],"label_agreement":null},{"id":"W2585155015","doi":"10.4064/aa169-1-2","title":"Prime rational functions","year":2015,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"History and Theory of Mathematics","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":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Prime (order theory); Rational function; Composition (language); Function (biology); Pure mathematics; Discrete mathematics; Combinatorics; Literature","score_opus":0.08806359503213972,"score_gpt":0.3066048050412006,"score_spread":0.21854121000906085,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2585155015","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37797493,0.0046344926,0.1591401,0.0036872902,0.0006292294,0.000102419166,0.000426537,0.0003626991,0.45304224],"genre_scores_gemma":[0.95092905,0.0019927362,0.015679492,0.00029992455,0.00045692796,0.00006801027,0.0002694793,0.00007659685,0.030227838],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999348,0.00013644896,0.000027359236,0.00015797243,0.00019117312,0.00013898184],"domain_scores_gemma":[0.9989672,0.00044993317,0.000110802306,0.00015537052,0.00020512528,0.000111759124],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010353792,0.0006889944,0.00059924164,0.0014291547,0.0014922651,0.0026605483,0.00045963505,0.0008588446,0.008893196],"category_scores_gemma":[0.0034832838,0.00025108503,0.00041250602,0.0009496988,0.0039027394,0.0039022574,0.0012112309,0.0017521323,0.0017409291],"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":[0.000017881575,0.000005971885,0.0001877926,0.000019502895,0.000002726226,0.000083395666,0.0001478867,0.0002842396,0.00057362526,0.99428695,0.00073276786,0.003657283],"study_design_scores_gemma":[0.000015682324,0.000034317567,0.00044694287,0.000026273874,0.000011486868,0.00033170145,0.00029950717,0.002941129,0.0017352827,0.9662547,0.02788758,0.000015377505],"about_ca_topic_score_codex":0.0005144226,"about_ca_topic_score_gemma":0.00021392426,"teacher_disagreement_score":0.008893196,"about_ca_system_score_codex":0.0010099318,"about_ca_system_score_gemma":0.0004649484,"threshold_uncertainty_score":0.029750705},"labels":[],"label_agreement":null},{"id":"W2594344370","doi":"10.4064/aa170306-13-5","title":"Some families of supercongruences involving alternating multiple harmonic sums","year":2018,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bishop's University","funders":"","keywords":"Mathematics; Congruence relation; Prime (order theory); Combinatorics; Harmonic; Harmonic number; Arithmetic; Pure mathematics; Riemann hypothesis; Physics","score_opus":0.05691938592523458,"score_gpt":0.3262626198503819,"score_spread":0.2693432339251473,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2594344370","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64907503,0.001568863,0.09337745,0.0015590357,0.0006670778,0.00008997884,0.00041304601,0.00053072383,0.2527188],"genre_scores_gemma":[0.96989965,0.00041168887,0.008812879,0.0003518421,0.00033922718,0.00012550042,0.0002792217,0.00016084328,0.019619193],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99828583,0.0004836654,0.00010831091,0.00030748305,0.000439508,0.00037516857],"domain_scores_gemma":[0.9978362,0.0012849857,0.00020603384,0.00023157452,0.00023097242,0.00021026024],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013172062,0.0006835551,0.00055754546,0.0023143652,0.003707031,0.0031323214,0.0010356377,0.0011781647,0.012232894],"category_scores_gemma":[0.004398135,0.0006681484,0.0012287883,0.0015764596,0.0025691641,0.0044356054,0.0018621907,0.002083048,0.001325437],"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":[0.000036626203,0.000027733842,0.00034651373,0.000034109926,0.000008071085,0.00033483226,0.0002946729,0.00056304864,0.000868633,0.9927006,0.0013210633,0.0034641842],"study_design_scores_gemma":[0.000024862304,0.000035523783,0.0005690319,0.000034347366,0.000021748661,0.000756756,0.00033961667,0.0076881857,0.0020152184,0.98207134,0.0064097494,0.000033629778],"about_ca_topic_score_codex":0.0005417048,"about_ca_topic_score_gemma":0.0005552936,"teacher_disagreement_score":0.012232894,"about_ca_system_score_codex":0.0013411249,"about_ca_system_score_gemma":0.00052355806,"threshold_uncertainty_score":0.04092312},"labels":[],"label_agreement":null},{"id":"W2780521743","doi":"10.4064/aa171012-24-12","title":"Representation of integers by cyclotomic binary forms","year":2018,"lang":"en","type":"preprint","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","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":"Mathematics; Combinatorics; Cardinality (data modeling); Integer (computer science); Natural density; Binary number; Homogeneous; Discrete mathematics; Cyclotomic polynomial; Polynomial; Arithmetic; Mathematical analysis","score_opus":0.05935555037900709,"score_gpt":0.38233432165669207,"score_spread":0.322978771277685,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2780521743","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8992137,0.00048100293,0.053994264,0.0007863293,0.000088813824,0.000041326493,0.000458469,0.00017865744,0.044757426],"genre_scores_gemma":[0.9812251,0.00031114995,0.013297671,0.00012695596,0.000095311676,0.00006311239,0.00023804697,0.000036885172,0.0046059117],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939156,0.00010973759,0.00003231813,0.0001300492,0.0001617618,0.00017456462],"domain_scores_gemma":[0.9989568,0.00043016803,0.00018729275,0.0002378819,0.00009508586,0.00009281192],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000492146,0.00035329122,0.00037681294,0.0012461554,0.00096072996,0.0017284778,0.0006214017,0.00046777524,0.0055236723],"category_scores_gemma":[0.0028854294,0.0002039463,0.00036667957,0.0009700472,0.0017592284,0.001819232,0.001283858,0.00097585056,0.0005281845],"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":[0.000133726,0.00003847763,0.001582055,0.000060658163,0.00000597999,0.00012959415,0.00038510727,0.0023627118,0.00865677,0.96849257,0.0017893298,0.016363077],"study_design_scores_gemma":[0.000049613707,0.00011895298,0.0039013561,0.000076917626,0.000020186908,0.0008120895,0.00033532782,0.044050336,0.014864955,0.9193107,0.016410893,0.000048713515],"about_ca_topic_score_codex":0.00052850606,"about_ca_topic_score_gemma":0.0005636082,"teacher_disagreement_score":0.0055236723,"about_ca_system_score_codex":0.0010087845,"about_ca_system_score_gemma":0.0004335511,"threshold_uncertainty_score":0.018478572},"labels":[],"label_agreement":null},{"id":"W2884556464","doi":"10.4064/aa171204-9-4","title":"Sets generated by finite sets of algebraic numbers","year":2018,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","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":"Mathematics; Algebraic number; Distribution (mathematics); Finite set; Set (abstract data type); Discrete mathematics; Combinatorics; Pure mathematics; Algebra over a field; Mathematical analysis; Computer science","score_opus":0.04531828308548306,"score_gpt":0.34840340390377067,"score_spread":0.3030851208182876,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2884556464","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69910103,0.0011088945,0.26795188,0.0012733297,0.000118574535,0.00006860971,0.00044380318,0.00020167399,0.029732114],"genre_scores_gemma":[0.98002726,0.0006275485,0.013133655,0.000113804555,0.00027445253,0.00011684985,0.00027288866,0.000049402046,0.005384095],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979784,0.0006453914,0.00008315375,0.0003305573,0.0007245979,0.00023791377],"domain_scores_gemma":[0.9885921,0.0082746325,0.0012508854,0.000620143,0.000664009,0.0005983189],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024081008,0.0005974341,0.0007014705,0.0034826398,0.0012393798,0.0043221368,0.0018018022,0.00064047385,0.004569225],"category_scores_gemma":[0.015948873,0.00041534528,0.0006169654,0.0020381042,0.0035066982,0.0046001608,0.0017469184,0.0013321394,0.00045352086],"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":[0.00004030368,0.000021705659,0.0010654113,0.00003721013,0.000016040949,0.00009857781,0.00026831336,0.004639412,0.0011104826,0.9885132,0.00033295027,0.0038563597],"study_design_scores_gemma":[0.000038336802,0.000074447074,0.0015173741,0.000051658848,0.000023849967,0.0004540253,0.00033577968,0.08498012,0.0034401156,0.9058081,0.003238633,0.000037558642],"about_ca_topic_score_codex":0.0005927735,"about_ca_topic_score_gemma":0.00031418775,"teacher_disagreement_score":0.004569225,"about_ca_system_score_codex":0.0016030311,"about_ca_system_score_gemma":0.0006199713,"threshold_uncertainty_score":0.015285611},"labels":[],"label_agreement":null},{"id":"W2886014853","doi":"10.4064/aa180320-22-6","title":"Supercharacters and the Chebotarev density theorem","year":2018,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Graph theory and applications","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 Lethbridge","funders":"","keywords":"Mathematics; Pure mathematics","score_opus":0.024404801054179047,"score_gpt":0.28182314722023133,"score_spread":0.2574183461660523,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2886014853","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31217796,0.0032579373,0.36464405,0.0031374856,0.0007666809,0.00006735128,0.00024309006,0.00039957528,0.31530586],"genre_scores_gemma":[0.9586058,0.00082127197,0.017100789,0.00059223606,0.00033345507,0.00008558797,0.000114276896,0.000108530745,0.022238037],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991522,0.00019653888,0.000026782269,0.00013771818,0.00030839277,0.00017835318],"domain_scores_gemma":[0.99852705,0.00064416666,0.000089017296,0.0002590014,0.0003187251,0.00016192612],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011658343,0.00039420172,0.0006863866,0.002016529,0.002580233,0.002173797,0.0013421931,0.0007978152,0.0072027775],"category_scores_gemma":[0.0035153732,0.00039257357,0.00060333405,0.0014084573,0.004203976,0.004672872,0.0031010143,0.0021037874,0.0009313559],"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":[0.0000027952299,0.0000033864178,0.000039778406,0.0000068360755,0.0000011102509,0.000013040504,0.00006193158,0.00027634393,0.00008148979,0.997997,0.00030164266,0.0012147138],"study_design_scores_gemma":[0.000003984292,0.0000064128894,0.00008720386,0.000008911136,0.000002538543,0.00004100229,0.000069536516,0.004339673,0.00027665397,0.992243,0.0029143759,0.000006697763],"about_ca_topic_score_codex":0.0019666858,"about_ca_topic_score_gemma":0.0011599461,"teacher_disagreement_score":0.0072027775,"about_ca_system_score_codex":0.0014407575,"about_ca_system_score_gemma":0.00071705977,"threshold_uncertainty_score":0.024095654},"labels":[],"label_agreement":null},{"id":"W2887332836","doi":"10.4064/aa170615-13-3","title":"Special values of derivatives of $L$-series and generalized Stieltjes constants","year":2018,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Arithmetic function; Riemann–Stieltjes integral; Connection (principal bundle); Additive function; Constant (computer programming); Algebra over a field; Special functions","score_opus":0.045696624332944184,"score_gpt":0.33298290105457934,"score_spread":0.28728627672163515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2887332836","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6834846,0.00409443,0.06962199,0.0032612148,0.0009991302,0.000028526321,0.00019620547,0.0005900774,0.23772384],"genre_scores_gemma":[0.9825784,0.00073118205,0.006395491,0.0001910297,0.0004999609,0.000019149273,0.000052802385,0.000098836375,0.009433097],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995697,0.00008686348,0.000030879462,0.000085622385,0.00013621099,0.0000907398],"domain_scores_gemma":[0.9989197,0.00034220974,0.00021930662,0.00019176338,0.00015196997,0.00017501565],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000957537,0.00064990384,0.0006232077,0.0025257608,0.0011604229,0.0027643195,0.0009859777,0.0011000952,0.0058315233],"category_scores_gemma":[0.0042806044,0.00029226983,0.0005912596,0.0012469776,0.0038660348,0.0037249385,0.0013218517,0.0017078755,0.000619862],"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":[0.000019670264,0.000010001751,0.00022163155,0.000032492513,0.0000048850843,0.00018741458,0.00015253069,0.0009156316,0.0013471759,0.99296993,0.0006246667,0.0035141008],"study_design_scores_gemma":[0.000013275335,0.000018588062,0.0008129554,0.000029159579,0.000007692126,0.0004315538,0.00009613888,0.011221813,0.0015527523,0.982421,0.0033628617,0.000032169493],"about_ca_topic_score_codex":0.0006686832,"about_ca_topic_score_gemma":0.00061500544,"teacher_disagreement_score":0.0058315233,"about_ca_system_score_codex":0.0016873489,"about_ca_system_score_gemma":0.00053503085,"threshold_uncertainty_score":0.019508362},"labels":[],"label_agreement":null},{"id":"W2944970277","doi":"10.4064/aa180103-22-8","title":"Product-one subsequences over subgroups of a finite group","year":2019,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brock University","funders":"","keywords":"Subsequence; Mathematics; Combinatorics; Product (mathematics); Integer (computer science); Group (periodic table); Finite group; Sequence (biology); Cyclic group; Longest increasing subsequence; Discrete mathematics; Geometry; Computer science; Physics; Abelian group; Bounded function; Mathematical analysis","score_opus":0.05593503827977137,"score_gpt":0.31700445575408004,"score_spread":0.2610694174743087,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2944970277","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81832504,0.0011005834,0.12751397,0.0006207971,0.00023017077,0.00010296996,0.00035869717,0.0005844761,0.05116333],"genre_scores_gemma":[0.92971444,0.0006103743,0.044385165,0.00019729258,0.0002411233,0.00020912905,0.0010186583,0.00020910973,0.023414679],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99906343,0.00015418185,0.00011840647,0.0002509011,0.00024679978,0.00016635284],"domain_scores_gemma":[0.997834,0.0006643882,0.0003779522,0.000362064,0.0003482711,0.0004133564],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010597743,0.00081499544,0.00083175686,0.0016592906,0.0014391929,0.0015221193,0.00091722567,0.00054232316,0.0040554893],"category_scores_gemma":[0.0029336752,0.00036536076,0.0010848474,0.0010660077,0.0025644237,0.0037664978,0.0024032944,0.0013520728,0.0008180088],"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":[0.0003500575,0.000085972584,0.0022508681,0.00012679657,0.00005556935,0.0009799551,0.001508856,0.0011476044,0.024227463,0.9479886,0.0008714892,0.020406878],"study_design_scores_gemma":[0.00005754359,0.00033419247,0.0017651692,0.00005438384,0.000069383685,0.0010683073,0.00069086853,0.0071725743,0.017104056,0.9582624,0.013373241,0.00004779744],"about_ca_topic_score_codex":0.00051140145,"about_ca_topic_score_gemma":0.00048673677,"teacher_disagreement_score":0.0040554893,"about_ca_system_score_codex":0.0010017081,"about_ca_system_score_gemma":0.00064790907,"threshold_uncertainty_score":0.013566971},"labels":[],"label_agreement":null},{"id":"W2963648299","doi":"10.4064/aa148-2-2","title":"On the index of sequences over cyclic groups","year":2011,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brock University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Combinatorics; Subsequence; Multiplicity (mathematics); Conjecture; Prime (order theory); Cyclic group; Sequence (biology); Order (exchange); Finite group; Group (periodic table); Geometry; Physics; Mathematical analysis; Bounded function","score_opus":0.12689405784764876,"score_gpt":0.33025542957612597,"score_spread":0.2033613717284772,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963648299","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7189453,0.0059664897,0.0981663,0.0024924648,0.0008956334,0.00009262657,0.00055831915,0.0003915923,0.17249122],"genre_scores_gemma":[0.9540534,0.002406574,0.027358422,0.00043517334,0.001130452,0.00012611243,0.00056944595,0.00018883753,0.013731438],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99848735,0.00030574136,0.00011510856,0.00027968778,0.0004921083,0.0003200169],"domain_scores_gemma":[0.99385333,0.0033051677,0.00091963436,0.0005941885,0.00068249577,0.0006451882],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017222312,0.00063255214,0.0009322002,0.0028834983,0.0016859078,0.0025891527,0.0011109319,0.000988392,0.0040354836],"category_scores_gemma":[0.010789961,0.00039679414,0.00047206582,0.0018974057,0.0034726833,0.0062176553,0.0024112344,0.0021224571,0.0011323974],"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":[0.0005416357,0.000093666895,0.0038965598,0.00017602567,0.000020614678,0.0004639764,0.0016065402,0.0031532862,0.009116821,0.9444225,0.0031329168,0.03337556],"study_design_scores_gemma":[0.00005382446,0.00017874471,0.0024391857,0.00014368817,0.000025444668,0.00070039707,0.00030553833,0.0142541565,0.007387371,0.95499325,0.019467732,0.00005065945],"about_ca_topic_score_codex":0.0005792977,"about_ca_topic_score_gemma":0.00035897916,"teacher_disagreement_score":0.0040354836,"about_ca_system_score_codex":0.0017213253,"about_ca_system_score_gemma":0.0007021838,"threshold_uncertainty_score":0.013499975},"labels":[],"label_agreement":null},{"id":"W2963680237","doi":"10.4064/aa8252-3-2016","title":"On a problem of Sidon for polynomials over finite fields","year":2016,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Coding theory and cryptography","field":"Computer Science","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":"University of Waterloo","funders":"","keywords":"Mathematics; Omega; Integer (computer science); Sequence (biology); Combinatorics; Discrete mathematics; Physics","score_opus":0.012347681773915865,"score_gpt":0.2410096026789031,"score_spread":0.22866192090498721,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963680237","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31472617,0.009331773,0.20496069,0.20579897,0.0076171407,0.0002686786,0.0015333861,0.0010518079,0.2547114],"genre_scores_gemma":[0.83259666,0.0046379482,0.054530483,0.01443811,0.0066665807,0.00030673828,0.0016755235,0.0005413793,0.084606566],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976979,0.0007667208,0.00013646537,0.00045962378,0.00041770888,0.00052161823],"domain_scores_gemma":[0.99039334,0.007725856,0.00028668827,0.0006057816,0.0005294536,0.00045893554],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034579064,0.0012622788,0.0025771789,0.002177677,0.0068307645,0.0038028609,0.001966016,0.0061706235,0.011052191],"category_scores_gemma":[0.017677752,0.0008301538,0.00216066,0.003246272,0.0068043694,0.016008839,0.0053547155,0.007999414,0.0020751157],"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":[0.00023916544,0.00007132059,0.00050335954,0.0001344981,0.000020583173,0.00017187893,0.0005336034,0.002207586,0.00031656364,0.95635223,0.02563329,0.01381588],"study_design_scores_gemma":[0.00007438647,0.000034556782,0.00014354636,0.000043909327,0.000013088697,0.000094726274,0.00020337479,0.008123301,0.00031026127,0.9777966,0.01313072,0.000031553194],"about_ca_topic_score_codex":0.004123021,"about_ca_topic_score_gemma":0.0026889865,"teacher_disagreement_score":0.011052191,"about_ca_system_score_codex":0.0053890054,"about_ca_system_score_gemma":0.0031256285,"threshold_uncertainty_score":0.03910017},"labels":[],"label_agreement":null},{"id":"W2984419545","doi":"10.4064/aa191118-18-5","title":"On Landau–Siegel zeros and heights of singular moduli","year":2021,"lang":"en","type":"preprint","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"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 de Montréal","funders":"","keywords":"Combinatorics; Conjecture; Discriminant; Physics; Moduli; Dirichlet distribution; Mathematics; Quantum mechanics","score_opus":0.052845952748132745,"score_gpt":0.3405388286914418,"score_spread":0.28769287594330906,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2984419545","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.896951,0.0012215965,0.024105752,0.0017313352,0.00019267619,0.000019124633,0.00017985945,0.00020029384,0.075398326],"genre_scores_gemma":[0.9875658,0.0004909074,0.0025120378,0.000075658216,0.00022719089,0.000017517292,0.000109254135,0.000051587533,0.008949906],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997036,0.00005580257,0.000012428542,0.000060168546,0.00007490418,0.00009311002],"domain_scores_gemma":[0.9982735,0.00075401785,0.00023454872,0.00012806243,0.00011009403,0.00049980404],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000764771,0.0007817049,0.0006500373,0.0044181957,0.0019160177,0.0033478453,0.0010778403,0.0009196676,0.009057446],"category_scores_gemma":[0.004699744,0.00048352173,0.0005557587,0.0014937872,0.004678493,0.005150428,0.0029191999,0.0024163544,0.0010446612],"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":[0.00006151884,0.000020696589,0.0006761074,0.00003016622,0.000006456037,0.000095516705,0.00036597645,0.0012004405,0.001465733,0.99160117,0.0006338713,0.0038422574],"study_design_scores_gemma":[0.000016476295,0.00001711996,0.0013041302,0.000033089054,0.000010208834,0.0001465177,0.00024074258,0.007582284,0.0011721555,0.9880435,0.0014111934,0.000022518107],"about_ca_topic_score_codex":0.0010041168,"about_ca_topic_score_gemma":0.0009095476,"teacher_disagreement_score":0.009057446,"about_ca_system_score_codex":0.00154977,"about_ca_system_score_gemma":0.00043639928,"threshold_uncertainty_score":0.03030014},"labels":[],"label_agreement":null},{"id":"W2995678543","doi":"10.4064/aa191217-9-4","title":"Counter-examples in parametric geometry of numbers","year":2020,"lang":"en","type":"preprint","venue":"Acta Arithmetica","topic":"Mathematical Dynamics and Fractals","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":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Geometry of numbers; Parametric statistics; Diophantine approximation; Spectrum (functional analysis); Mathematics; Algebraic number; Set (abstract data type); Geometry; Diophantine equation; Algebraic geometry; Combinatorics; Discrete mathematics; Mathematical analysis; Physics; Computer science; Quantum mechanics","score_opus":0.0837133676036583,"score_gpt":0.3395299465193292,"score_spread":0.2558165789156709,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2995678543","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.477597,0.009789284,0.17552067,0.010659012,0.0010111758,0.000061908984,0.00060946913,0.0004540226,0.32429758],"genre_scores_gemma":[0.9692769,0.0017821362,0.015874693,0.00045069642,0.00048822843,0.000086984226,0.0001953155,0.00007153245,0.011773535],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989901,0.000278395,0.00004245112,0.00020746648,0.00036635395,0.00011527454],"domain_scores_gemma":[0.9977825,0.0013388033,0.00022182585,0.0002274207,0.00025491804,0.00017457032],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009200067,0.0005380587,0.00054424466,0.0027777955,0.0017803591,0.0035301433,0.0007492144,0.0012324466,0.0070133633],"category_scores_gemma":[0.0050861067,0.00025845572,0.0004364012,0.0014641483,0.004508504,0.0056051495,0.0036248236,0.0020904855,0.00058213907],"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":[0.0000064283527,0.0000018229061,0.000059737144,0.000013970945,0.0000013712205,0.000031427368,0.000079432844,0.00019248422,0.000101417645,0.99816483,0.000396339,0.00095086213],"study_design_scores_gemma":[0.000008200309,0.0000065093377,0.00018439922,0.00001794186,0.0000033846543,0.00020089668,0.00014065314,0.0020646881,0.0002728893,0.99033993,0.0067532216,0.0000072218695],"about_ca_topic_score_codex":0.0003938366,"about_ca_topic_score_gemma":0.00024669507,"teacher_disagreement_score":0.0070133633,"about_ca_system_score_codex":0.0010460783,"about_ca_system_score_gemma":0.00023179622,"threshold_uncertainty_score":0.023461998},"labels":[],"label_agreement":null},{"id":"W3032252721","doi":"10.4064/aa230318-4-1","title":"Effective convergence of coranks of random Rédei matrices","year":2024,"lang":"fr","type":"article","venue":"Acta Arithmetica","topic":"Random Matrices and Applications","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":"Concordia University","funders":"","keywords":"Convergence (economics); Mathematics; Applied mathematics; Economics","score_opus":0.013489247302038604,"score_gpt":0.30187784974887205,"score_spread":0.28838860244683345,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3032252721","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27706054,0.001674191,0.65956014,0.0020426644,0.00031918962,0.000118045435,0.00030208047,0.00057553174,0.05834764],"genre_scores_gemma":[0.9123054,0.0010981417,0.060681883,0.0005736805,0.0003710205,0.0002548648,0.00029883967,0.00040490463,0.024011174],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99779356,0.0008165033,0.00010469077,0.0003790443,0.00059407373,0.0003122087],"domain_scores_gemma":[0.9851791,0.008396972,0.0014335054,0.0012917746,0.0020772142,0.0016214664],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0040797535,0.001304003,0.0009825714,0.0044684056,0.0015451772,0.0033848784,0.002104986,0.0015042352,0.009886826],"category_scores_gemma":[0.023959793,0.00063461636,0.0010890311,0.0010249184,0.004781222,0.005804692,0.0038193727,0.0034954122,0.0013116535],"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":[0.000025157466,0.000013608566,0.00034519858,0.000039687107,0.000008500234,0.00006152148,0.000101423764,0.0057007796,0.00088377914,0.99003464,0.0005164998,0.0022693323],"study_design_scores_gemma":[0.000016811266,0.000037912025,0.00043989724,0.00004273117,0.000007800857,0.0001615815,0.000095753225,0.13817094,0.0018526126,0.8573988,0.0017358135,0.00003931189],"about_ca_topic_score_codex":0.0015688288,"about_ca_topic_score_gemma":0.0013800221,"teacher_disagreement_score":0.009886826,"about_ca_system_score_codex":0.0027401638,"about_ca_system_score_gemma":0.0011423047,"threshold_uncertainty_score":0.033074737},"labels":[],"label_agreement":null},{"id":"W3036464006","doi":"10.4064/aa200617-11-11","title":"The equation $(x-d)^5+x^5+(x+d)^5=y^n$","year":2021,"lang":"en","type":"preprint","venue":"Acta Arithmetica","topic":"Algebraic Geometry and Number Theory","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":"University of British Columbia","funders":"","keywords":"Mathematics; Modular design; Genus; Type (biology); Work (physics); Combinatorics; Pure mathematics; Discrete mathematics; Computer science; Physics; Thermodynamics; Botany","score_opus":0.056169974566105126,"score_gpt":0.3088140147778228,"score_spread":0.25264404021171766,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3036464006","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11260635,0.0026209366,0.29898745,0.013484513,0.012525065,0.00021678122,0.0018341145,0.0006391943,0.5570856],"genre_scores_gemma":[0.48488033,0.0027817364,0.11778814,0.00354516,0.0018065923,0.00020495488,0.0011135932,0.001232138,0.38664737],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99962664,0.00005618284,0.00002421118,0.00012003436,0.000095218056,0.000077734214],"domain_scores_gemma":[0.9998547,0.000030242341,0.000030915024,0.000026378944,0.000033358898,0.000024377558],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046411215,0.0006136096,0.0005208483,0.0007991415,0.0014210646,0.0014529674,0.0011141681,0.001130781,0.048083827],"category_scores_gemma":[0.0012438631,0.00028105165,0.000874341,0.00079521595,0.001068378,0.0028892308,0.0018982792,0.0023614552,0.0073080617],"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":[0.000064261614,0.000035958532,0.0007275176,0.00016168052,0.000018455436,0.0003155681,0.00029882274,0.0014720933,0.0029366263,0.9320196,0.030618977,0.031330455],"study_design_scores_gemma":[0.00006880452,0.000066360895,0.0011072049,0.00007933866,0.000033797194,0.0012467097,0.00034913837,0.009159158,0.008948245,0.68745244,0.29142118,0.00006764742],"about_ca_topic_score_codex":0.0013389215,"about_ca_topic_score_gemma":0.0022946466,"teacher_disagreement_score":0.048083827,"about_ca_system_score_codex":0.0008821536,"about_ca_system_score_gemma":0.00068853324,"threshold_uncertainty_score":0.16085637},"labels":[],"label_agreement":null},{"id":"W3089539380","doi":"10.4064/aa201002-25-6","title":"Sieving intervals and Siegel zeros","year":2022,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":5,"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 de Montréal","funders":"","keywords":"Mathematics; Sieve (category theory); Combinatorics; Minor (academic); Upper and lower bounds; Number theory; Discrete mathematics; Mathematical analysis; Humanities","score_opus":0.0613688657005865,"score_gpt":0.34748571267473866,"score_spread":0.2861168469741522,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3089539380","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41573614,0.0047539943,0.38458687,0.0045893323,0.0004992209,0.00006366615,0.0002646395,0.0004915424,0.18901458],"genre_scores_gemma":[0.9381289,0.0021335285,0.029349934,0.00074497785,0.0004142705,0.00007798111,0.00028999787,0.00015651016,0.028703919],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99893457,0.00024952565,0.000055246,0.00023505055,0.0002524128,0.0002731936],"domain_scores_gemma":[0.9941064,0.0036891366,0.00041992287,0.0007744673,0.0004053426,0.00060480315],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017372278,0.0011233563,0.0012028631,0.002587342,0.0016242401,0.0030905276,0.0015573433,0.0013784748,0.011173378],"category_scores_gemma":[0.013138993,0.0004852786,0.0013285613,0.0014316215,0.004770676,0.0059341006,0.005331818,0.0058852467,0.0017638509],"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":[0.00009496797,0.000025250283,0.00043608362,0.00010209419,0.000019896705,0.00007903657,0.00024072478,0.0025824278,0.0014756753,0.98154587,0.0012837744,0.012114284],"study_design_scores_gemma":[0.00001609803,0.00004093512,0.000280807,0.000047532827,0.000018902385,0.00012553387,0.00013047572,0.008377062,0.0023848412,0.98552805,0.0030249355,0.000024764202],"about_ca_topic_score_codex":0.00040651398,"about_ca_topic_score_gemma":0.00034367084,"teacher_disagreement_score":0.011173378,"about_ca_system_score_codex":0.00085425726,"about_ca_system_score_gemma":0.00035284305,"threshold_uncertainty_score":0.03737861},"labels":[],"label_agreement":null},{"id":"W3153008905","doi":"10.4064/aa210419-4-7","title":"A new diophantine equation involving fifth powers","year":2021,"lang":"en","type":"preprint","venue":"Acta Arithmetica","topic":"Algebraic Geometry and Number Theory","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":"Lakeshore General Hospital","funders":"","keywords":"Diophantine equation; Elliptic curve; Mathematics; Diophantine set; Parametric statistics; Parametric equation; Thue equation; Legendre's equation; Diophantine geometry; Pure mathematics; Mathematical analysis; Geometry; Statistics","score_opus":0.04777195643873293,"score_gpt":0.29825160125132605,"score_spread":0.2504796448125931,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3153008905","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6727188,0.0010656114,0.18320039,0.0028917931,0.0007314748,0.000091745824,0.00020444582,0.00015727725,0.13893846],"genre_scores_gemma":[0.936971,0.00041958474,0.028130842,0.00026252473,0.000109345405,0.0000423275,0.00009376707,0.000040939238,0.033929657],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998191,0.000030266652,0.0000110651345,0.000034424247,0.00006177177,0.00004341191],"domain_scores_gemma":[0.9998597,0.00003693019,0.000024981213,0.000027954078,0.00002005062,0.000030309046],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028094204,0.00046279762,0.00052992,0.00058861077,0.00101943,0.0017727738,0.00075096637,0.0013137333,0.0062235035],"category_scores_gemma":[0.00086446985,0.00022785032,0.0006185548,0.0007470677,0.0015920314,0.0019542843,0.0014356074,0.0018979928,0.00073867204],"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":[0.00003431812,0.00002611816,0.00025354273,0.00006775814,0.00001188447,0.00046885374,0.00035550602,0.0032716708,0.008722093,0.978737,0.0006857317,0.007365522],"study_design_scores_gemma":[0.0000732181,0.00010247185,0.00047369447,0.00006395015,0.00003054677,0.0012480513,0.0006424476,0.04604375,0.0119811855,0.9199221,0.019348448,0.00007004493],"about_ca_topic_score_codex":0.00027252227,"about_ca_topic_score_gemma":0.00030201537,"teacher_disagreement_score":0.0062235035,"about_ca_system_score_codex":0.00073593395,"about_ca_system_score_gemma":0.00049367506,"threshold_uncertainty_score":0.020819664},"labels":[],"label_agreement":null},{"id":"W3154302668","doi":"10.4064/aa210329-13-12","title":"A note on pencils of norm-form equations","year":2022,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","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":"University of British Columbia","funders":"","keywords":"Mathematics; Norm (philosophy); Combinatorics; Integer (computer science); Discrete mathematics; Pure mathematics; Law; Computer science","score_opus":0.011324182145931871,"score_gpt":0.24841914734262158,"score_spread":0.2370949651966897,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3154302668","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.258785,0.0055521186,0.17147402,0.010609826,0.0022184746,0.00007645132,0.0008424363,0.0008227502,0.54961896],"genre_scores_gemma":[0.80350584,0.0029605154,0.05615882,0.0029603206,0.0020305559,0.00013816632,0.0008990281,0.00041574304,0.13093108],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995072,0.00018130556,0.00002912117,0.00009881375,0.00012088581,0.00006263488],"domain_scores_gemma":[0.99944514,0.00022982333,0.00007183562,0.00009170565,0.000086732805,0.00007471033],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095018797,0.000777236,0.0006546173,0.00113413,0.0014155013,0.0021699292,0.0011101908,0.0012090775,0.013722036],"category_scores_gemma":[0.002846314,0.00030562503,0.000663859,0.0010757354,0.0023333791,0.0039246236,0.0016864408,0.0032683841,0.0015519268],"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":[0.000011511731,0.000005760086,0.00005296714,0.00002900921,0.0000025144063,0.000053327312,0.000109137276,0.00042476685,0.00041138966,0.9926664,0.0021860902,0.0040470352],"study_design_scores_gemma":[0.000006629773,0.000016452015,0.00010713809,0.000011693024,0.0000021675348,0.00007230194,0.00004103528,0.0030451838,0.00032509057,0.9871682,0.0091953175,0.000008768385],"about_ca_topic_score_codex":0.0005104907,"about_ca_topic_score_gemma":0.0004024363,"teacher_disagreement_score":0.013722036,"about_ca_system_score_codex":0.0006875654,"about_ca_system_score_gemma":0.00031922184,"threshold_uncertainty_score":0.045904756},"labels":[],"label_agreement":null},{"id":"W3196141015","doi":"10.4064/aa220705-24-1","title":"Moments of traces of Frobenius of higher order Dirichlet $L$-functions over $\\mathbb F_q[T]$","year":2023,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","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":"Concordia University","funders":"","keywords":"Mathematics; Dirichlet distribution; Normalization (sociology); Order (exchange); Combinatorics; Dirichlet series; Limit (mathematics); Pure mathematics; Mathematical analysis","score_opus":0.06041616458070152,"score_gpt":0.37080971760446596,"score_spread":0.3103935530237644,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3196141015","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7233598,0.0017085841,0.21763177,0.0019748018,0.00047959576,0.000064838016,0.00025112764,0.00091881317,0.053610645],"genre_scores_gemma":[0.9766837,0.000639513,0.0083783595,0.0001841165,0.0005033559,0.0000633566,0.0001452711,0.00040686296,0.012995507],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990312,0.00025306272,0.000040592797,0.0001376528,0.00023318433,0.00030431742],"domain_scores_gemma":[0.9963445,0.001340437,0.0005780993,0.00036866218,0.0004702519,0.0008980449],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019209471,0.0013259617,0.0011311662,0.004044077,0.001505935,0.0033667758,0.0025001883,0.0013644808,0.007998854],"category_scores_gemma":[0.009707312,0.000574987,0.0012678227,0.0014053716,0.004626825,0.0056846994,0.0024581978,0.0029591378,0.0014196085],"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":[0.000128034,0.00005786833,0.00082539907,0.00010527099,0.000025623165,0.00043682058,0.0005837801,0.0051642847,0.0057538184,0.980492,0.0008976145,0.0055296263],"study_design_scores_gemma":[0.000039223367,0.000091809125,0.001869832,0.00012159057,0.00003214948,0.0008542963,0.0002545173,0.11286792,0.007433012,0.87400615,0.002302743,0.00012680562],"about_ca_topic_score_codex":0.0014627931,"about_ca_topic_score_gemma":0.0010869446,"teacher_disagreement_score":0.007998854,"about_ca_system_score_codex":0.002138767,"about_ca_system_score_gemma":0.0008255057,"threshold_uncertainty_score":0.02675885},"labels":[],"label_agreement":null},{"id":"W3205562261","doi":"10.4064/aa220315-13-8","title":"Statistics for $p$-ranks of Artin–Schreier covers","year":2022,"lang":"en","type":"preprint","venue":"Acta Arithmetica","topic":"Coding theory and cryptography","field":"Computer Science","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":"University of British Columbia","funders":"","keywords":"Mathematics; Infinity; Isomorphism (crystallography); Finite field; Combinatorics; Prime (order theory); Limit (mathematics); Genus; Algebraic number field; Distribution (mathematics); Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.020933436295170714,"score_gpt":0.27408051809788675,"score_spread":0.25314708180271606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3205562261","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9148413,0.0018894988,0.05326966,0.0026953798,0.0001594667,0.000034709377,0.00095047854,0.0005260557,0.025633415],"genre_scores_gemma":[0.99159545,0.00073852076,0.0029445312,0.000115574105,0.0004973388,0.000056898552,0.0006393337,0.00010482326,0.003307539],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986299,0.00031762637,0.00006669364,0.00030806314,0.00038357216,0.0002942319],"domain_scores_gemma":[0.9896144,0.005858542,0.0018348286,0.00064866175,0.00064314756,0.0014003613],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024764615,0.0008260616,0.001232908,0.005650336,0.0017013589,0.004529876,0.0015624922,0.0015434627,0.006327342],"category_scores_gemma":[0.015828446,0.0006479331,0.00065694645,0.0021858248,0.0048664147,0.006625616,0.0024599244,0.0021112624,0.0007541939],"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":[0.00018317925,0.000044500925,0.00665027,0.00013458227,0.000031422216,0.00023484527,0.00036524129,0.009935643,0.003069892,0.9668422,0.0033255946,0.009182577],"study_design_scores_gemma":[0.00004584193,0.00010306155,0.010317623,0.00008197201,0.000032211803,0.00070383825,0.00026223014,0.0671308,0.00303112,0.91504854,0.003131773,0.00011099256],"about_ca_topic_score_codex":0.00080188224,"about_ca_topic_score_gemma":0.00056825025,"teacher_disagreement_score":0.006327342,"about_ca_system_score_codex":0.001884432,"about_ca_system_score_gemma":0.0005420227,"threshold_uncertainty_score":0.02116704},"labels":[],"label_agreement":null},{"id":"W3210239462","doi":"10.4064/aa201125-27-5","title":"Density of sequences of the form $x_n=f(n)^n$ in $[0,1]$","year":2021,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Mathematics and Applications","field":"Mathematics","cited_by":1,"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 Calgary","funders":"","keywords":"Mathematics; Trigonometry; Combinatorics; Trigonometric functions; Trigonometric series; Distribution (mathematics); Discrete mathematics; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.0470220039172084,"score_gpt":0.31485721667219246,"score_spread":0.26783521275498406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3210239462","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45235586,0.0047593764,0.48355988,0.008574393,0.0007211107,0.00015791964,0.0016575861,0.000616008,0.047597986],"genre_scores_gemma":[0.95146346,0.0018921267,0.027582368,0.0008955922,0.00043995277,0.00037183322,0.0008366798,0.00016487714,0.016353099],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99810225,0.0005584482,0.0000780773,0.00050564663,0.0004924642,0.0002631184],"domain_scores_gemma":[0.9883754,0.007064394,0.0010785284,0.0012250283,0.0017033155,0.0005534032],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027783476,0.0006942075,0.0009700195,0.0024337452,0.0017043849,0.0025921636,0.00170237,0.0015483726,0.007381866],"category_scores_gemma":[0.0313694,0.0007010391,0.0007340232,0.0018821815,0.004185323,0.0076741637,0.0023561576,0.0026354238,0.0013142183],"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":[0.00023144209,0.00003363568,0.0044584773,0.00012733121,0.000036285895,0.00023536764,0.00088554376,0.004684692,0.0017335436,0.9680598,0.0035307673,0.015983177],"study_design_scores_gemma":[0.00006975879,0.000095214484,0.0046199653,0.0001356655,0.000037906513,0.0007433618,0.00067085354,0.054805793,0.0025760038,0.92491937,0.0112092495,0.00011675226],"about_ca_topic_score_codex":0.0030489087,"about_ca_topic_score_gemma":0.0019181927,"teacher_disagreement_score":0.007381866,"about_ca_system_score_codex":0.0018300706,"about_ca_system_score_gemma":0.00070627534,"threshold_uncertainty_score":0.02469474},"labels":[],"label_agreement":null},{"id":"W4296960737","doi":"10.4064/aa230428-19-9","title":"Cyclotomic valuation of $q$-Pochhammer symbols and $q$-integrality of basic hypergeometric series","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Combinatorial Mathematics","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":"University of Waterloo","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Basic hypergeometric series; Hypergeometric function; Valuation (finance); Generalized hypergeometric function; Hypergeometric distribution; Hypergeometric function of a matrix argument; Pure mathematics; Algebra over a field","score_opus":0.05653212753750036,"score_gpt":0.32805930453527987,"score_spread":0.2715271769977795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4296960737","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7279034,0.0010221956,0.09863716,0.0010991495,0.00042772866,0.00006426328,0.00026144346,0.00021065793,0.1703741],"genre_scores_gemma":[0.9818196,0.00058764627,0.007501566,0.00012622088,0.0003216813,0.000045896773,0.000083724524,0.000048567304,0.00946514],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997292,0.000040546387,0.000014835291,0.0000541293,0.00009292692,0.00006836389],"domain_scores_gemma":[0.9994816,0.000128781,0.00009355847,0.000064507985,0.00012609219,0.000105586114],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005470403,0.0006085235,0.000462041,0.0028528501,0.00084194005,0.0020654663,0.00061400444,0.00043982238,0.005481796],"category_scores_gemma":[0.0014759746,0.00020095089,0.0004719887,0.0011640853,0.0026583401,0.0024307303,0.0011390537,0.0013518139,0.00075321534],"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":[0.000016584938,0.000010686689,0.0002450893,0.0000263483,0.0000041782077,0.00011934143,0.00010813399,0.00042309222,0.0025761444,0.99119437,0.00037894308,0.004897137],"study_design_scores_gemma":[0.000015235095,0.000029768167,0.0008505054,0.00002383564,0.000011052914,0.0004082272,0.00012557596,0.0053125834,0.0040685995,0.98554534,0.0035861218,0.000023125749],"about_ca_topic_score_codex":0.00037080562,"about_ca_topic_score_gemma":0.00026275287,"teacher_disagreement_score":0.005481796,"about_ca_system_score_codex":0.00082700985,"about_ca_system_score_gemma":0.00039465705,"threshold_uncertainty_score":0.018338501},"labels":[],"label_agreement":null},{"id":"W4318995230","doi":"10.4064/aa221031-8-12","title":"Diophantine approximation with constraints","year":2023,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"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 Ottawa; University of Waterloo","funders":"","keywords":"Mathematics; Diophantine approximation; Bounded function; Dirichlet distribution; Diophantine equation; Applied mathematics; Pure mathematics; Mathematical analysis","score_opus":0.03850306958064526,"score_gpt":0.3004053621082421,"score_spread":0.26190229252759684,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4318995230","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08527172,0.0022729475,0.7584883,0.0028475495,0.0008212271,0.000054204582,0.00055566715,0.00022806252,0.14946032],"genre_scores_gemma":[0.7947307,0.0015410038,0.12113885,0.0007992271,0.00052844983,0.00017171649,0.00078078336,0.0006358636,0.07967333],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99901855,0.00029126136,0.00004369235,0.00016395989,0.00035402912,0.00012849321],"domain_scores_gemma":[0.99837023,0.0009180407,0.00013115344,0.0002915013,0.00016992226,0.00011919583],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012941282,0.00086494157,0.0013171453,0.00088461395,0.0009992964,0.0019487017,0.0015193773,0.0008997794,0.008749664],"category_scores_gemma":[0.005709349,0.00045678788,0.0008690593,0.00135617,0.0021263256,0.002389893,0.0028784974,0.0034259064,0.0014838171],"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":[0.000023295814,0.000009611971,0.000099915764,0.00003982942,0.000010168582,0.000030907886,0.000055452772,0.008511931,0.00038392062,0.9864075,0.0010136389,0.0034137897],"study_design_scores_gemma":[0.000017162338,0.0000107553515,0.000082311446,0.000016816204,0.0000064463193,0.00002937638,0.000026542893,0.08020536,0.00037691917,0.915348,0.0038689093,0.0000113519345],"about_ca_topic_score_codex":0.0026384587,"about_ca_topic_score_gemma":0.0020152002,"teacher_disagreement_score":0.008749664,"about_ca_system_score_codex":0.0020394623,"about_ca_system_score_gemma":0.0007642254,"threshold_uncertainty_score":0.02927053},"labels":[],"label_agreement":null},{"id":"W4364860565","doi":"10.4064/aa220518-28-2","title":"Growth of $p$-parts of ideal class groups and fine Selmer groups in $\\mathbb Z_q$-extensions with $p\\ne q$","year":2023,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"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 Ottawa; Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"","keywords":"Mathematics; Ideal (ethics); Iwasawa theory; Class field theory; Class (philosophy); Algebraic number field; Class number; Quadratic equation; Quadratic field; Field (mathematics); Combinatorics; Pure mathematics; Arithmetic; Discrete mathematics; Quadratic function; Law; Abelian group; Geometry","score_opus":0.020791533197195216,"score_gpt":0.26196370096557303,"score_spread":0.24117216776837783,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4364860565","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9603903,0.0002934153,0.01702774,0.0009848023,0.00006248531,0.000025073878,0.00016418191,0.00020200845,0.020849993],"genre_scores_gemma":[0.9884013,0.00020748453,0.0040740394,0.000081715174,0.00010490275,0.00004543509,0.0002514394,0.000059563346,0.0067740553],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995111,0.000083344064,0.000022465876,0.00011748365,0.00012032499,0.00014520597],"domain_scores_gemma":[0.99649054,0.0012157046,0.0006245325,0.00022605936,0.00020489655,0.0012382981],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001214646,0.00086925604,0.000747428,0.0028887377,0.0023003926,0.0038798684,0.0010722704,0.0011385623,0.0061920686],"category_scores_gemma":[0.0046792543,0.00060402736,0.00077251607,0.0009090114,0.0051663634,0.0061945864,0.0028866,0.0018589621,0.00060387107],"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":[0.00031384925,0.000071413095,0.0051482096,0.00007368463,0.00002043379,0.00060447206,0.0014235249,0.003770065,0.008518827,0.97248703,0.0015562008,0.006012327],"study_design_scores_gemma":[0.00010278314,0.00013979786,0.007895254,0.0000650876,0.00004040456,0.00093518605,0.0010232279,0.035260465,0.008656649,0.94141287,0.004412557,0.0000557019],"about_ca_topic_score_codex":0.00078499917,"about_ca_topic_score_gemma":0.00064685,"teacher_disagreement_score":0.0061920686,"about_ca_system_score_codex":0.0013591083,"about_ca_system_score_gemma":0.0005623236,"threshold_uncertainty_score":0.020714521},"labels":[],"label_agreement":null},{"id":"W4372053594","doi":"10.4064/aa220729-19-3","title":"On Ihara’s conjectures for Euler–Kronecker constants","year":2023,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Kronecker delta; Euler's formula; Generalization; Constant (computer programming); Riemann hypothesis; Combinatorics; Pure mathematics; Discrete mathematics; Mathematical analysis; Quantum mechanics; Physics","score_opus":0.0995420378510557,"score_gpt":0.3950929706568958,"score_spread":0.2955509328058401,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4372053594","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19979283,0.019128107,0.26806,0.0366689,0.0061157895,0.000095403906,0.0007214271,0.0005020629,0.46891546],"genre_scores_gemma":[0.89517856,0.0069845803,0.04128073,0.005492255,0.0051082787,0.00019697164,0.00049580424,0.00027001282,0.044992764],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998285,0.0004801689,0.00009354855,0.00040076993,0.00038196155,0.000358533],"domain_scores_gemma":[0.9917168,0.004731755,0.00069295004,0.0010003077,0.0012649151,0.0005932316],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0053094747,0.0012730034,0.0013473013,0.003578682,0.0031720856,0.0041352483,0.001670025,0.0020764086,0.006797184],"category_scores_gemma":[0.01818612,0.000734202,0.0019937416,0.0022863757,0.009938483,0.016246026,0.0055136257,0.008420543,0.0012855398],"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":[0.000031738215,0.000010086436,0.00022908028,0.000038609,0.000008392739,0.000054500142,0.00016065741,0.00047413376,0.00018163666,0.99405473,0.002259787,0.0024966577],"study_design_scores_gemma":[0.000010585792,0.000013435786,0.00037983095,0.00003656341,0.000008725574,0.000057867914,0.00006411671,0.001141136,0.00021216678,0.9927458,0.0053124065,0.000017183715],"about_ca_topic_score_codex":0.0020170012,"about_ca_topic_score_gemma":0.0014176057,"teacher_disagreement_score":0.006797184,"about_ca_system_score_codex":0.0029049513,"about_ca_system_score_gemma":0.001256463,"threshold_uncertainty_score":0.02807951},"labels":[],"label_agreement":null},{"id":"W4385884287","doi":"10.4064/aa220728-7-6","title":"A new bound for Erdős’ minimum overlap problem","year":2023,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Facility Location and Emergency Management","field":"Business, Management and Accounting","cited_by":1,"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 British Columbia","funders":"","keywords":"Mathematics; Combinatorics; Integer (computer science); Intersection (aeronautics); Upper and lower bounds; Translation (biology); Discrete mathematics; Mathematical analysis; Chemistry","score_opus":0.03326741595575199,"score_gpt":0.25671890139744696,"score_spread":0.22345148544169496,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385884287","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04013053,0.0060357056,0.8100565,0.007175648,0.0010960193,0.0001783218,0.0016161605,0.0009747332,0.13273644],"genre_scores_gemma":[0.545088,0.007436537,0.37839448,0.0037614345,0.0033725933,0.0012547452,0.0036230278,0.0014944818,0.055574726],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9944565,0.0012282726,0.00024754388,0.0011166928,0.0020188333,0.0009320788],"domain_scores_gemma":[0.98993206,0.0066833408,0.0004588399,0.0013279722,0.0009370351,0.0006608089],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003884006,0.0021911531,0.002618681,0.0030441268,0.0024597943,0.005461113,0.0056504915,0.0027875989,0.01858783],"category_scores_gemma":[0.017296543,0.0010282584,0.0019528209,0.004587579,0.0030665202,0.014961211,0.00779831,0.008041007,0.003728669],"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":[0.00055882987,0.00017806154,0.00097581913,0.000561705,0.00010615286,0.00020107151,0.0003645448,0.058559492,0.0046832142,0.8331081,0.032594457,0.06810846],"study_design_scores_gemma":[0.00010825278,0.00014029782,0.0006007168,0.00015666854,0.0000927718,0.0002891254,0.00018314872,0.16204427,0.0033565115,0.7828511,0.050106965,0.00007023857],"about_ca_topic_score_codex":0.0018232482,"about_ca_topic_score_gemma":0.0018588683,"teacher_disagreement_score":0.01858783,"about_ca_system_score_codex":0.004184389,"about_ca_system_score_gemma":0.0020050863,"threshold_uncertainty_score":0.062182486},"labels":[],"label_agreement":null},{"id":"W4386559670","doi":"10.4064/aa230329-19-6","title":"On a simple quartic family of Thue equations over imaginary quadratic number fields","year":2023,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"advanced mathematical theories","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":"Carleton University","funders":"","keywords":"Mathematics; Quartic function; Quadratic equation; The Imaginary; Integer (computer science); Quadratic field; Simple (philosophy); Thue equation; Combinatorics; Algebraic number field; Discrete mathematics; Pure mathematics; Quadratic function; Diophantine equation; Geometry","score_opus":0.049906934666833366,"score_gpt":0.3705538174285391,"score_spread":0.3206468827617057,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386559670","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8668456,0.0012590319,0.03964955,0.0029271217,0.00061476434,0.000076055985,0.00014163912,0.00014560882,0.08834069],"genre_scores_gemma":[0.9667226,0.00062972785,0.007225786,0.00031722133,0.00033775397,0.000078579884,0.00016390516,0.00006120438,0.024463221],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995159,0.00011356247,0.000020515368,0.000061235434,0.00015524948,0.00013357546],"domain_scores_gemma":[0.9992643,0.0002743121,0.00014462842,0.000049560796,0.000094205876,0.00017300149],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000908926,0.0012040747,0.0013806833,0.0022208558,0.0028765833,0.002385787,0.0014705922,0.0019857925,0.005577878],"category_scores_gemma":[0.0026868517,0.0006081237,0.0011598085,0.0014143742,0.003885726,0.0026005001,0.0018457772,0.0024576213,0.0006344691],"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":[0.0001310101,0.00005895719,0.0008608609,0.000090755755,0.000030027017,0.0011212212,0.00047842372,0.0051027606,0.0018835306,0.984382,0.0016206666,0.004239858],"study_design_scores_gemma":[0.00019504208,0.00007588484,0.0009266795,0.000052871677,0.000026147334,0.0008681654,0.00029378603,0.0654792,0.0008195274,0.9272601,0.003950548,0.00005201705],"about_ca_topic_score_codex":0.0022145167,"about_ca_topic_score_gemma":0.002212003,"teacher_disagreement_score":0.005577878,"about_ca_system_score_codex":0.0018603799,"about_ca_system_score_gemma":0.00072792,"threshold_uncertainty_score":0.01865989},"labels":[],"label_agreement":null},{"id":"W4388198901","doi":"10.4064/aa220811-13-9","title":"Powers from products of terms in progressions with gaps","year":2023,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"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 British Columbia","funders":"","keywords":"Mathematics; Coprime integers; Prime (order theory); Product (mathematics); Term (time); Arithmetic; Arithmetic progression; Combinatorics; Discrete mathematics; Pure mathematics; Geometry; Quantum mechanics","score_opus":0.051255559065581914,"score_gpt":0.3531853051733564,"score_spread":0.30192974610777445,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388198901","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47209305,0.0016035646,0.20736025,0.0014737269,0.0010288487,0.00019689815,0.00058563193,0.00089695945,0.31476098],"genre_scores_gemma":[0.9068001,0.0008854599,0.03393517,0.0002504113,0.0006285567,0.00010924574,0.00038449198,0.0005338947,0.056472678],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99917847,0.000137862,0.000059951126,0.00016843012,0.00027650068,0.00017888969],"domain_scores_gemma":[0.9993912,0.000188714,0.000098557786,0.00013334233,0.00009230153,0.0000958498],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068775844,0.0011257033,0.00070670183,0.001126127,0.0015739333,0.0026591544,0.0009265569,0.00057555945,0.015659474],"category_scores_gemma":[0.0022425607,0.0005659927,0.001149409,0.0008630925,0.003988255,0.0059036314,0.0031771844,0.0023054148,0.004818713],"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":[0.0001472436,0.000022425356,0.0003790819,0.00013945837,0.00001838467,0.00071711646,0.0007522476,0.00076271663,0.005389724,0.97776175,0.0020096842,0.011900288],"study_design_scores_gemma":[0.000031184,0.00006554547,0.0005035974,0.000058813726,0.000028566834,0.000861618,0.00026741315,0.001690153,0.006490519,0.96879834,0.021170298,0.000033878106],"about_ca_topic_score_codex":0.0002877525,"about_ca_topic_score_gemma":0.0005021275,"teacher_disagreement_score":0.015659474,"about_ca_system_score_codex":0.0007388904,"about_ca_system_score_gemma":0.000519622,"threshold_uncertainty_score":0.052386165},"labels":[],"label_agreement":null},{"id":"W4389391847","doi":"10.4064/aa230327-5-7","title":"When Euler met Brun","year":2023,"lang":"nl","type":"article","venue":"Acta Arithmetica","topic":"History and Theory of Mathematics","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":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Euler's formula; Pure mathematics; Mathematical analysis","score_opus":0.04832426052925575,"score_gpt":0.2898081700492309,"score_spread":0.24148390951997512,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389391847","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1291136,0.019188873,0.062197056,0.026400125,0.006837969,0.000043060587,0.0009818815,0.000480074,0.75475746],"genre_scores_gemma":[0.8432091,0.0043632397,0.0064836494,0.0021126694,0.0019305801,0.000056452995,0.00023670627,0.00022180456,0.14138593],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9993741,0.00014461244,0.000031903062,0.00018522603,0.00013965165,0.00012448883],"domain_scores_gemma":[0.9990307,0.00044087198,0.00010062679,0.0001899178,0.00013873207,0.00009908476],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00079745677,0.00025589246,0.0003912997,0.0011153712,0.0014218335,0.0028366284,0.00040819426,0.0009787169,0.014721972],"category_scores_gemma":[0.008006031,0.00024924654,0.0002710732,0.0013576503,0.0026011348,0.005588171,0.0014703493,0.0025269194,0.0030513315],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000442284,0.0000030800215,0.00033908375,0.000027601352,0.0000032303383,0.000074681106,0.0002721811,0.0002467375,0.00023477265,0.97880894,0.0063245725,0.013621007],"study_design_scores_gemma":[0.000011917,0.000016142887,0.00047157894,0.000054759264,0.000005079105,0.00025287605,0.0002129625,0.000744673,0.0005890978,0.8949088,0.102720425,0.000011787939],"about_ca_topic_score_codex":0.0012873926,"about_ca_topic_score_gemma":0.0008866392,"teacher_disagreement_score":0.014721972,"about_ca_system_score_codex":0.0016163789,"about_ca_system_score_gemma":0.00064413087,"threshold_uncertainty_score":0.049249887},"labels":[],"label_agreement":null},{"id":"W4389633073","doi":"10.4064/aa221031-19-9","title":"Factorial-type recurrence relations and $p$-adic incomplete gamma functions","year":2023,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"advanced mathematical theories","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":"University of Alberta","funders":"","keywords":"Mathematics; Automorphism; Type (biology); Factorial; Combinatorics; Automorphism group; Space (punctuation); Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.08620201963330178,"score_gpt":0.34785463006284906,"score_spread":0.2616526104295473,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389633073","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33958387,0.0022437493,0.45164818,0.0022239836,0.0007316476,0.000098673,0.00044420914,0.0006317635,0.20239383],"genre_scores_gemma":[0.9144084,0.0011152746,0.044109445,0.000516965,0.00044613663,0.00016593961,0.0002186934,0.00017906385,0.03883999],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99955684,0.00010476152,0.00003263464,0.00009216729,0.000112166024,0.00010146933],"domain_scores_gemma":[0.99922633,0.00025248894,0.00013854714,0.00009847595,0.00015138222,0.00013275321],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010003104,0.0010501362,0.000666871,0.0025369194,0.0015864166,0.00259085,0.000965501,0.00093490025,0.005659082],"category_scores_gemma":[0.0023297255,0.0004084821,0.0009893719,0.0018294619,0.0035237784,0.0038485113,0.0014423439,0.002394759,0.0010094503],"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":[0.0000038117357,0.0000023777873,0.000035447436,0.000005741608,9.94216e-7,0.000031261676,0.0000698947,0.0001891896,0.0001955383,0.9980286,0.00019317988,0.0012439252],"study_design_scores_gemma":[0.0000055685878,0.000006037167,0.00007349636,0.000005729989,0.0000033730805,0.00007503855,0.00003383056,0.0015293463,0.0003745418,0.9956623,0.0022219934,0.0000087913595],"about_ca_topic_score_codex":0.0009656796,"about_ca_topic_score_gemma":0.0010491577,"teacher_disagreement_score":0.005659082,"about_ca_system_score_codex":0.0016067765,"about_ca_system_score_gemma":0.00063124497,"threshold_uncertainty_score":0.018931508},"labels":[],"label_agreement":null},{"id":"W4390016943","doi":"10.4064/aa230315-14-7","title":"The Minkowski sum of linear Cantor sets","year":2023,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Banach Space Theory","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":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cantor set; Uniqueness; Minkowski space; Set (abstract data type); Minkowski addition; Combinatorics; Representation (politics); Discrete mathematics; Pure mathematics; Mathematical analysis; Mathematical physics; Computer science","score_opus":0.03529614098628208,"score_gpt":0.33683637145601564,"score_spread":0.30154023046973355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390016943","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4951957,0.004464062,0.2248332,0.001575178,0.0007486846,0.000091331516,0.0014072995,0.0005225168,0.27116197],"genre_scores_gemma":[0.94875735,0.0010394963,0.017273802,0.00028383525,0.00042236713,0.00012441135,0.00059699855,0.00012446036,0.031377297],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99899596,0.00016623044,0.000049391143,0.00016132626,0.00041573288,0.00021134605],"domain_scores_gemma":[0.9991289,0.00021565564,0.00013212468,0.00006714578,0.00023522075,0.00022099368],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006179744,0.0005654718,0.0005544823,0.0033297737,0.0018554229,0.0034462728,0.00080253126,0.00046946065,0.008124921],"category_scores_gemma":[0.0024539079,0.0003282242,0.00054233946,0.0015257463,0.0026190085,0.0031638306,0.0018967062,0.0011116301,0.0012065012],"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":[0.00004101315,0.0000059953773,0.00022859161,0.000043052834,0.000010707381,0.000076774275,0.0001499362,0.0007800818,0.00095224706,0.98872966,0.0016004425,0.007381537],"study_design_scores_gemma":[0.0000083518125,0.0000309382,0.00096494565,0.000036953457,0.000014564763,0.00037426673,0.00023927589,0.012217353,0.0020729073,0.970983,0.013006154,0.00005131199],"about_ca_topic_score_codex":0.0016495334,"about_ca_topic_score_gemma":0.0010833952,"teacher_disagreement_score":0.008124921,"about_ca_system_score_codex":0.0012606544,"about_ca_system_score_gemma":0.00091822725,"threshold_uncertainty_score":0.027180552},"labels":[],"label_agreement":null},{"id":"W4391027856","doi":"10.4064/aa230118-1-10","title":"On generalized Narkiewicz constants of finite abelian groups","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brock University","funders":"Austrian Science Fund; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Abelian group; Pure mathematics","score_opus":0.03395779442093372,"score_gpt":0.33123664209879716,"score_spread":0.29727884767786344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391027856","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76101375,0.004586758,0.06371342,0.0014745608,0.0005030506,0.000081189835,0.0004385,0.00033532997,0.16785342],"genre_scores_gemma":[0.9621328,0.0015445326,0.014261574,0.00024600665,0.00038410432,0.000082368744,0.0002440959,0.000082649494,0.021021854],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995111,0.00007795134,0.0000268665,0.00011945205,0.00014216581,0.00012245796],"domain_scores_gemma":[0.9993793,0.00017396019,0.00013302802,0.0000739536,0.00007905513,0.00016054294],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00081927294,0.0010611508,0.0005990843,0.0033527552,0.0011550334,0.0020462389,0.0010369128,0.00040355502,0.004132484],"category_scores_gemma":[0.0016675919,0.00030387015,0.0006725893,0.0019886561,0.0040756906,0.0049504186,0.0020826566,0.0021262174,0.00065445766],"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":[0.000026406587,0.000011401935,0.00022601608,0.00003699533,0.0000055558794,0.00004616441,0.00024932477,0.0005975965,0.0013304717,0.9930167,0.00035516397,0.0040982277],"study_design_scores_gemma":[0.00002317244,0.000033941375,0.00097328046,0.000031087864,0.000016974787,0.00013172226,0.00020706106,0.0034845902,0.0012490461,0.9850971,0.00871978,0.0000321979],"about_ca_topic_score_codex":0.0016389989,"about_ca_topic_score_gemma":0.001523275,"teacher_disagreement_score":0.004132484,"about_ca_system_score_codex":0.002612527,"about_ca_system_score_gemma":0.00067767844,"threshold_uncertainty_score":0.01895535},"labels":[],"label_agreement":null},{"id":"W4391453430","doi":"10.4064/aa230804-2-9","title":"On sequences of integers with small prime factors","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Coding theory and cryptography","field":"Computer Science","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 Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Prime (order theory); Prime factor; Combinatorics; Discrete mathematics","score_opus":0.017897390609651145,"score_gpt":0.22567275838901593,"score_spread":0.20777536777936478,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391453430","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5917466,0.0059995214,0.36303777,0.0013033481,0.0005303261,0.00008204312,0.00028493922,0.00050990604,0.03650547],"genre_scores_gemma":[0.9339659,0.003501283,0.050783634,0.00035543367,0.00047141092,0.00016310244,0.000392599,0.0001807574,0.010185943],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987735,0.0002988043,0.00007438232,0.00023095621,0.00043759713,0.00018474436],"domain_scores_gemma":[0.98762834,0.008785043,0.0015595952,0.0007386824,0.0007367761,0.00055153103],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013577543,0.0011756888,0.00086324464,0.0027763667,0.0012008728,0.0017681118,0.0012532366,0.0012469455,0.0028339012],"category_scores_gemma":[0.021898612,0.00047420454,0.0005507085,0.0020319866,0.0030211706,0.0060557425,0.0023810554,0.0023432684,0.0008610717],"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":[0.00043162814,0.00006913496,0.0026872125,0.0003376798,0.00002753476,0.0012677959,0.0009603205,0.030961772,0.015383457,0.9194331,0.0015321018,0.026908245],"study_design_scores_gemma":[0.000051620238,0.00017731678,0.0016202063,0.0001938814,0.00004099749,0.0012425698,0.00021554698,0.15186614,0.006436827,0.83040965,0.0076810247,0.000064313535],"about_ca_topic_score_codex":0.0007856375,"about_ca_topic_score_gemma":0.0006180901,"teacher_disagreement_score":0.0028339012,"about_ca_system_score_codex":0.0010905816,"about_ca_system_score_gemma":0.0005765713,"threshold_uncertainty_score":0.009480357},"labels":[],"label_agreement":null},{"id":"W4391619998","doi":"10.4064/aa221122-10-10","title":"Preperiodic points with local rationality conditions in the quadratic unicritical family","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"advanced mathematical theories","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":"University of Waterloo","funders":"Oregon State University","keywords":"Mathematics; Quadratic equation; Trichotomy (philosophy); Rationality; Combinatorics; Pure mathematics; Discrete mathematics; Geometry; Law","score_opus":0.03966598506566161,"score_gpt":0.3553316057347945,"score_spread":0.3156656206691329,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391619998","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85715926,0.00094990904,0.05435899,0.0005226217,0.00009117608,0.0000415246,0.00047114017,0.00017561448,0.086229794],"genre_scores_gemma":[0.98356944,0.0003663294,0.0059877164,0.000051423383,0.00009061064,0.00003488484,0.00036682127,0.000039681243,0.009493117],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994585,0.00006217673,0.00003265291,0.00011795942,0.0002009541,0.00012767962],"domain_scores_gemma":[0.9993024,0.00020806739,0.00011951267,0.00007172377,0.00016993468,0.00012833961],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004938179,0.0005342636,0.0005046757,0.0020035754,0.0018049919,0.0023640213,0.00077009137,0.00059589045,0.005583586],"category_scores_gemma":[0.001410002,0.0003591452,0.0005931621,0.00089616026,0.0027688174,0.0025747495,0.001711485,0.0017808888,0.000746853],"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":[0.00014460192,0.000016531569,0.0012289145,0.00010819116,0.000015168109,0.00045739318,0.000668453,0.0009315998,0.0077664233,0.9802609,0.0007456925,0.0076562064],"study_design_scores_gemma":[0.000091053706,0.00019057038,0.005210069,0.000100303034,0.00006610237,0.0023840514,0.0016551288,0.011890795,0.013449034,0.9479781,0.016887145,0.00009769317],"about_ca_topic_score_codex":0.0011614674,"about_ca_topic_score_gemma":0.00093504146,"teacher_disagreement_score":0.005583586,"about_ca_system_score_codex":0.001161791,"about_ca_system_score_gemma":0.0004228109,"threshold_uncertainty_score":0.018678963},"labels":[],"label_agreement":null},{"id":"W4391620072","doi":"10.4064/aa230704-1-11","title":"The large sieve revisited","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","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":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Sieve (category theory); Combinatorics","score_opus":0.041511806420935195,"score_gpt":0.37078350017515105,"score_spread":0.32927169375421583,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391620072","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15656547,0.008535913,0.20218803,0.019997701,0.0008384287,0.00004038144,0.00042301818,0.00035497278,0.61105615],"genre_scores_gemma":[0.93770576,0.0024385368,0.01402681,0.0021994417,0.0009505354,0.00006701658,0.000172217,0.00013309484,0.042306554],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988851,0.00025360743,0.00003848467,0.00021460808,0.00040826524,0.00019988816],"domain_scores_gemma":[0.9976267,0.0013930413,0.00015807664,0.00035624413,0.00024743896,0.00021847387],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015906072,0.00046345143,0.0007418137,0.0018785686,0.001753767,0.003151409,0.0011335722,0.0018970707,0.01761961],"category_scores_gemma":[0.006807338,0.0002940404,0.0005434792,0.001232955,0.005228554,0.008745582,0.0036689967,0.0039370954,0.0018721172],"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":[0.0000055683045,0.0000024759538,0.000041051815,0.000009069507,0.0000014612224,0.000018864765,0.000024818084,0.00019249933,0.000087508495,0.9967354,0.0006120455,0.0022692143],"study_design_scores_gemma":[0.0000041927187,0.0000069602256,0.00009852842,0.00001698634,0.000001646031,0.000066503584,0.000021221853,0.001483887,0.00018771108,0.9933569,0.004750726,0.0000047082576],"about_ca_topic_score_codex":0.00048396786,"about_ca_topic_score_gemma":0.0005933322,"teacher_disagreement_score":0.01761961,"about_ca_system_score_codex":0.0011526681,"about_ca_system_score_gemma":0.0005092999,"threshold_uncertainty_score":0.05894345},"labels":[],"label_agreement":null},{"id":"W4391815995","doi":"10.4064/aa220517-3-11","title":"Variance of the $k$-fold divisor function in arithmetic progressions for individual modulus","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","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":"Queen's University","funders":"Queen's University; American Institute of Mathematics; National Science Foundation","keywords":"Mathematics; Moduli; Conjecture; Divisor (algebraic geometry); Divisor function; Arithmetic; Modulus; Variance (accounting); Combinatorics; Discrete mathematics; Geometry","score_opus":0.06527068592659031,"score_gpt":0.358701905583516,"score_spread":0.2934312196569257,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391815995","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.848388,0.0011773617,0.1252165,0.0010762733,0.0001764323,0.000022944942,0.00015651277,0.00030438416,0.02348154],"genre_scores_gemma":[0.9914374,0.00032525926,0.0048736488,0.000069358175,0.00022280292,0.00002746243,0.00010747775,0.00006774606,0.0028689636],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988446,0.00023129272,0.000055320106,0.00034489608,0.00031103572,0.00021278625],"domain_scores_gemma":[0.99539423,0.002549464,0.00057502673,0.0005387694,0.00037184748,0.0005706505],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017976895,0.0007266423,0.0013521899,0.003578692,0.0013080487,0.0024690665,0.0011770553,0.0010327715,0.00423564],"category_scores_gemma":[0.01092157,0.00033501108,0.0010727334,0.0011676936,0.004274582,0.0059143174,0.002589729,0.0022295339,0.00063136587],"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":[0.00020259191,0.00003871397,0.004897696,0.00013205102,0.000031180498,0.00035701346,0.0004553039,0.0058244476,0.005827351,0.97111094,0.00090120354,0.010221498],"study_design_scores_gemma":[0.000024841695,0.00008831714,0.006427118,0.00005167258,0.000029387276,0.00064352877,0.00015348103,0.024987372,0.0032426591,0.9621964,0.0020944846,0.000060773855],"about_ca_topic_score_codex":0.0002538779,"about_ca_topic_score_gemma":0.00017166008,"teacher_disagreement_score":0.00423564,"about_ca_system_score_codex":0.0008373676,"about_ca_system_score_gemma":0.00041239813,"threshold_uncertainty_score":0.014169693},"labels":[],"label_agreement":null},{"id":"W4391890806","doi":"10.4064/aa221014-31-8","title":"Polynomial moments with a weighted zeta square measure on the critical line","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Mathematical Identities","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":"Université de Montréal","funders":"","keywords":"Mathematics; Measure (data warehouse); Critical line; Square (algebra); Polynomial; Line (geometry); Mathematical analysis; Geometry","score_opus":0.05438419327199963,"score_gpt":0.33667347187157404,"score_spread":0.2822892785995744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391890806","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62469554,0.0013034474,0.32662797,0.0011614814,0.00028264697,0.00004220709,0.00019032766,0.00036667954,0.045329705],"genre_scores_gemma":[0.9708294,0.0005353726,0.015158175,0.00015076903,0.00040885055,0.000055914028,0.000116613,0.00013844954,0.012606486],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995732,0.000078871264,0.000016005939,0.00008231851,0.0001519298,0.0000976959],"domain_scores_gemma":[0.9982603,0.0005387369,0.0003692177,0.00011721505,0.00036079154,0.0003536909],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009394067,0.00081544055,0.00073512294,0.0030635144,0.0010044469,0.0023510251,0.0014202915,0.00086349424,0.0041057877],"category_scores_gemma":[0.0047199437,0.00038494548,0.0008295667,0.001131247,0.0026981798,0.0033712348,0.001724588,0.001801978,0.0007605517],"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":[0.00002951208,0.000014340935,0.00034298043,0.000036806116,0.000009211942,0.00017770688,0.00014367198,0.0035161008,0.0020589388,0.99055487,0.0004885563,0.0026273734],"study_design_scores_gemma":[0.000027502243,0.000051513725,0.0009915838,0.00004558947,0.00002518588,0.00046176492,0.00014017899,0.105545215,0.0029060352,0.88738734,0.002373088,0.00004502535],"about_ca_topic_score_codex":0.0012637272,"about_ca_topic_score_gemma":0.00084308366,"teacher_disagreement_score":0.0041057877,"about_ca_system_score_codex":0.001990275,"about_ca_system_score_gemma":0.000700846,"threshold_uncertainty_score":0.0144405365},"labels":[],"label_agreement":null},{"id":"W4392006808","doi":"10.4064/aa230725-14-9","title":"Effective $S$-unit equations beyond three terms: Newman’s Conjecture","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","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 British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cardinality (data modeling); Conjecture; Unit (ring theory); Term (time); Set (abstract data type); Discrete mathematics; Combinatorics; Mathematics education; Computer science","score_opus":0.04742158433481126,"score_gpt":0.36330968764173094,"score_spread":0.3158881033069197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392006808","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60903054,0.0010516039,0.20453629,0.008049475,0.0011945574,0.00008979127,0.00027378913,0.0008018616,0.17497215],"genre_scores_gemma":[0.8901581,0.00045760896,0.07074213,0.0013465483,0.0004581638,0.00012579544,0.00023866637,0.00033106262,0.03614189],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99923944,0.00018251229,0.00005081328,0.00011910601,0.00019735207,0.00021075703],"domain_scores_gemma":[0.9987924,0.000560841,0.00009589383,0.0002749201,0.00011680873,0.0001592052],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010097447,0.0006277714,0.0008205179,0.0006435543,0.0015821649,0.0020260543,0.0017041424,0.0018320236,0.0128893],"category_scores_gemma":[0.0066218446,0.00041356444,0.0012491506,0.0005991871,0.003014085,0.007082271,0.0034895195,0.0031295188,0.0016457378],"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":[0.000029850113,0.00001668785,0.00018541544,0.000031450105,0.000005364452,0.000060135106,0.00014042122,0.0012835822,0.00055554626,0.9898185,0.0026455927,0.0052274247],"study_design_scores_gemma":[0.000020785532,0.000014971186,0.00009104255,0.000013213487,0.0000058034398,0.00005812626,0.00006643566,0.010995599,0.0007766009,0.9847815,0.003163017,0.000012880456],"about_ca_topic_score_codex":0.00074710965,"about_ca_topic_score_gemma":0.001151952,"teacher_disagreement_score":0.0128893,"about_ca_system_score_codex":0.0008448166,"about_ca_system_score_gemma":0.0007703611,"threshold_uncertainty_score":0.043119013},"labels":[],"label_agreement":null},{"id":"W4394584362","doi":"10.4064/aa230424-15-1","title":"The non-$p$-part of the fine Selmer group in a $\\mathbb Z_p$-extension","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Algebraic Geometry and Number Theory","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":"University of Toronto","funders":"","keywords":"Mathematics; Extension (predicate logic); Group (periodic table); Pure mathematics; Combinatorics; Computer science; Physics; Programming language","score_opus":0.017733746920392927,"score_gpt":0.27102848617869024,"score_spread":0.2532947392582973,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394584362","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.855065,0.0005026674,0.033404168,0.0015536539,0.00021645347,0.000047232694,0.00015388656,0.00016736248,0.108889535],"genre_scores_gemma":[0.9736999,0.00029358102,0.0043361904,0.00017639413,0.00013848543,0.0000347616,0.00012417838,0.000035231213,0.02116129],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99974245,0.000034604116,0.000009996312,0.00007607103,0.000045373345,0.00009141556],"domain_scores_gemma":[0.9996061,0.00011627833,0.000063803986,0.000044069926,0.000041981573,0.00012794288],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000487492,0.00062717457,0.0004943487,0.0011610028,0.0022513221,0.0022742169,0.00053623423,0.0006813435,0.0070697377],"category_scores_gemma":[0.00076696783,0.00031007378,0.0005628234,0.0005751591,0.0036392875,0.0029519969,0.002310948,0.0016009567,0.00091430265],"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":[0.00012562666,0.000044081695,0.00066681876,0.00003029364,0.000010701755,0.0005149096,0.0005790041,0.000754241,0.0038367829,0.98738575,0.0007711876,0.0052804467],"study_design_scores_gemma":[0.000096035306,0.00011413103,0.0019518738,0.000034517197,0.000023323073,0.0006112656,0.0004902253,0.003097231,0.004068252,0.98045325,0.009022723,0.000037140195],"about_ca_topic_score_codex":0.00080891175,"about_ca_topic_score_gemma":0.0006461623,"teacher_disagreement_score":0.0070697377,"about_ca_system_score_codex":0.0009008569,"about_ca_system_score_gemma":0.0004569194,"threshold_uncertainty_score":0.023650646},"labels":[],"label_agreement":null},{"id":"W4395667498","doi":"10.4064/aa230330-21-2","title":"Additive decompositions of large multiplicative subgroups in finite fields","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Coding theory and cryptography","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":"University of British Columbia","funders":"","keywords":"Multiplicative function; Mathematics; Finite field; Multiplicative group; Combinatorics; Field (mathematics); Pure mathematics; Multiplicative inverse; Inverse; Mathematical analysis; Geometry","score_opus":0.009240028293323056,"score_gpt":0.2672007845938596,"score_spread":0.25796075630053655,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4395667498","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86777174,0.0006072262,0.091951095,0.00083650986,0.00016868344,0.00005786512,0.00013656651,0.00023280513,0.038237512],"genre_scores_gemma":[0.9785221,0.00018465317,0.013865058,0.00013302694,0.00013369924,0.00005500723,0.00017438915,0.000048438684,0.0068836655],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99923384,0.00017842185,0.00006627662,0.00013886963,0.00019993336,0.00018280462],"domain_scores_gemma":[0.9987148,0.0004840805,0.0002016978,0.00023545806,0.000123735,0.00024025208],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00083975156,0.0006614613,0.00047809738,0.0017293544,0.0012169523,0.0023471052,0.0005772477,0.00054644834,0.0038572007],"category_scores_gemma":[0.0023394967,0.000400344,0.000928204,0.00073105213,0.0026562952,0.003676877,0.0021088046,0.0015176379,0.0005537054],"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":[0.00013627637,0.000049982424,0.0010034448,0.000041253534,0.000014852745,0.00027332336,0.00078004086,0.0010365229,0.006525397,0.9820209,0.00069171283,0.007426214],"study_design_scores_gemma":[0.00004072176,0.00007268333,0.0006687449,0.000031115916,0.000028151077,0.0003646098,0.00042885885,0.006143582,0.0062014586,0.9814418,0.004556932,0.000021367961],"about_ca_topic_score_codex":0.0002728116,"about_ca_topic_score_gemma":0.00036460883,"teacher_disagreement_score":0.0038572007,"about_ca_system_score_codex":0.00080815324,"about_ca_system_score_gemma":0.00041162732,"threshold_uncertainty_score":0.012903631},"labels":[],"label_agreement":null},{"id":"W4399238956","doi":"10.4064/aa230808-11-3","title":"An infinite family of internal congruences modulo powers of 2 for partitions into odd parts with designated summands}","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Mathematical Identities","field":"Mathematics","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":"Dalhousie University","funders":"","keywords":"Congruence relation; Modulo; Mathematics; Combinatorics; Arithmetic; Pure mathematics; Discrete mathematics","score_opus":0.04261744789897488,"score_gpt":0.3459184221076594,"score_spread":0.3033009742086845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399238956","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34380803,0.0038742395,0.24270871,0.0028425548,0.00127167,0.00013086991,0.0008566595,0.0015072655,0.40299997],"genre_scores_gemma":[0.9103022,0.0013175269,0.045121815,0.0010690702,0.0007064521,0.00022939112,0.0006568999,0.00056741835,0.04002916],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99883527,0.00023508638,0.000085705244,0.0002666714,0.000301738,0.00027547678],"domain_scores_gemma":[0.99843043,0.00079996657,0.00018955949,0.00021382618,0.00021436112,0.0001518344],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001285737,0.0009753007,0.00079341,0.0014497491,0.0039475155,0.004633976,0.00085454626,0.001041373,0.008581046],"category_scores_gemma":[0.002972444,0.00074341695,0.0016613915,0.0011870114,0.0034150728,0.003111655,0.0022479263,0.0029976862,0.002164843],"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":[0.00005952613,0.000025331896,0.00030697716,0.000041869764,0.000008098955,0.00020319171,0.00057737,0.00033147735,0.0017070738,0.9854756,0.0027992176,0.008464154],"study_design_scores_gemma":[0.00003888916,0.000033961613,0.0005002993,0.000051451076,0.000014106525,0.00049672375,0.00014205163,0.002823597,0.0017780407,0.9747429,0.019335708,0.000042331743],"about_ca_topic_score_codex":0.00092041446,"about_ca_topic_score_gemma":0.0010745315,"teacher_disagreement_score":0.008581046,"about_ca_system_score_codex":0.0016631507,"about_ca_system_score_gemma":0.00084256526,"threshold_uncertainty_score":0.028706431},"labels":[],"label_agreement":null},{"id":"W4402053673","doi":"10.4064/aa231027-17-5","title":"The Mahler measure of a multivariate polynomial family with non-linear degree","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Bayesian Methods and Mixture Models","field":"Computer Science","cited_by":1,"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 de Montréal","funders":"","keywords":"Mathematics; Degree (music); Multivariate statistics; Measure (data warehouse); Polynomial; Pure mathematics; Discrete mathematics; Statistics; Mathematical analysis","score_opus":0.028808570452400154,"score_gpt":0.27589607275222433,"score_spread":0.24708750229982418,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402053673","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24513099,0.0019557113,0.73378855,0.0022805163,0.00015688228,0.000060612612,0.0003045645,0.00035539008,0.015966767],"genre_scores_gemma":[0.90497315,0.0022908878,0.0765689,0.00040380636,0.00086781057,0.00018541624,0.0003928357,0.00032570362,0.013991502],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972806,0.0010964035,0.00008637066,0.00045197798,0.00074373133,0.00034076735],"domain_scores_gemma":[0.97714865,0.014998577,0.0027229192,0.0012738144,0.0019158359,0.0019401724],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005863974,0.0014302152,0.0018437121,0.0061593456,0.001852943,0.0037881595,0.0036174103,0.0022354992,0.004150057],"category_scores_gemma":[0.02558772,0.00092940126,0.001754749,0.0022141195,0.0054611727,0.007047156,0.002515995,0.0032977972,0.00076381833],"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":[0.00004414495,0.000021413287,0.0006336343,0.000055163087,0.000037019247,0.00007698318,0.00017138547,0.011156452,0.0013061151,0.9824156,0.0005652138,0.0035168717],"study_design_scores_gemma":[0.000019542551,0.000059154707,0.0008647658,0.00004526328,0.000040965857,0.00027070646,0.00009949212,0.23784646,0.0014576045,0.75666106,0.002534598,0.00010031683],"about_ca_topic_score_codex":0.0015382738,"about_ca_topic_score_gemma":0.0007558575,"teacher_disagreement_score":0.0061593456,"about_ca_system_score_codex":0.0034217415,"about_ca_system_score_gemma":0.00095156144,"threshold_uncertainty_score":0.031012058},"labels":[],"label_agreement":null},{"id":"W4408621066","doi":"10.4064/aa231123-9-1","title":"Additively stable sets, critical sets for the $3k-4$ theorem in $\\mathbb Z$ and $\\mathbb R$","year":2025,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Limits and Structures in Graph Theory","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":"Pacific Institute for the Mathematical Sciences","funders":"","keywords":"Mathematics; Discrete mathematics; Combinatorics; Pure mathematics","score_opus":0.028609370168539098,"score_gpt":0.34321756149243976,"score_spread":0.31460819132390067,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408621066","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29193884,0.008256953,0.40242276,0.005722608,0.00091201364,0.00014653604,0.000974511,0.00062554196,0.28900018],"genre_scores_gemma":[0.92335224,0.0017203845,0.051177096,0.0009806555,0.00039568217,0.00024001101,0.00044812684,0.00021390061,0.021471757],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999491,0.00012185787,0.000034451597,0.00010926018,0.00014796514,0.000095420655],"domain_scores_gemma":[0.9993592,0.00028055476,0.000076136195,0.00007345405,0.00012490831,0.00008581532],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00082815177,0.0006224259,0.0004950834,0.0029082084,0.0024303324,0.0031268706,0.00067157444,0.00084757054,0.0045443815],"category_scores_gemma":[0.0015272298,0.0003897885,0.0009194717,0.0016031937,0.0052942275,0.003896921,0.0020483627,0.0018062957,0.0011561039],"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":[0.000008619154,0.0000039133033,0.000092520444,0.000017495275,0.00000257936,0.000041712774,0.00016457541,0.00023551373,0.00048031833,0.9966186,0.0005648627,0.0017692501],"study_design_scores_gemma":[0.000005166366,0.00001132307,0.0002097932,0.000018723664,0.0000070510932,0.00010380991,0.00015445049,0.0017059288,0.00096821936,0.98652446,0.010279192,0.000011875397],"about_ca_topic_score_codex":0.0013610169,"about_ca_topic_score_gemma":0.001540986,"teacher_disagreement_score":0.0045443815,"about_ca_system_score_codex":0.002011141,"about_ca_system_score_gemma":0.00065566663,"threshold_uncertainty_score":0.015202463},"labels":[],"label_agreement":null},{"id":"W4414472984","doi":"10.4064/aa240201-25-5","title":"Arbitrarily long strings of consecutive primes in special sets","year":2025,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Limits and Structures in Graph Theory","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":"Concordia University","funders":"","keywords":"Set (abstract data type); Function (biology); Open set; Set theory; Closed set","score_opus":0.016642712954928987,"score_gpt":0.3084569907063212,"score_spread":0.29181427775139224,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414472984","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9155179,0.0006050836,0.0641383,0.00041665073,0.000121530575,0.000021944008,0.00016616442,0.00022857371,0.018783811],"genre_scores_gemma":[0.983457,0.00021877681,0.012337278,0.00009155869,0.00009807735,0.00006989946,0.00015238208,0.00007830668,0.0034967437],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991725,0.0002069498,0.00006186909,0.00017563032,0.00021124215,0.00017190039],"domain_scores_gemma":[0.9962985,0.0020535118,0.0006017026,0.00048229808,0.00025713095,0.00030689026],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000957766,0.0004515951,0.0007517604,0.0014316147,0.002038845,0.0017562815,0.00075967965,0.0009043989,0.0033411137],"category_scores_gemma":[0.007158287,0.00049179385,0.0006623924,0.0012227893,0.002741153,0.0034640855,0.002404639,0.0012068086,0.00035517424],"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":[0.00034036965,0.00007704894,0.0029528753,0.00015508219,0.000043057746,0.001059173,0.001555679,0.004875733,0.010341284,0.96190125,0.0011900893,0.015508374],"study_design_scores_gemma":[0.000042212418,0.000108450535,0.002251281,0.00009025779,0.000055252305,0.0013917465,0.0006502299,0.022804411,0.008737196,0.95481735,0.009008422,0.000043231223],"about_ca_topic_score_codex":0.00020302334,"about_ca_topic_score_gemma":0.00019593234,"teacher_disagreement_score":0.0033411137,"about_ca_system_score_codex":0.00092243194,"about_ca_system_score_gemma":0.00027456667,"threshold_uncertainty_score":0.011177123},"labels":[],"label_agreement":null},{"id":"W4416139549","doi":"10.4064/aa250108-11-3","title":"Existence of normal elements with prescribed norms","year":2025,"lang":"","type":"article","venue":"Acta Arithmetica","topic":"Coding theory and cryptography","field":"Computer Science","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":"Carleton University","funders":"Fundação de Amparo à Pesquisa do Estado de Minas Gerais; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Natural Sciences and Engineering Research Council of Canada; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior","keywords":"Multiplicative group; Prime (order theory); Extension (predicate logic); Primitive element; Multiplicative function; Finite field; Galois group; Generator (circuit theory); Group (periodic table)","score_opus":0.00905378361818915,"score_gpt":0.235147966041236,"score_spread":0.22609418242304685,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416139549","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7930828,0.00026467317,0.15097345,0.0004751091,0.000109101195,0.00006262466,0.00026899888,0.0002762305,0.05448706],"genre_scores_gemma":[0.94485587,0.00023616808,0.03992283,0.00010200924,0.00010201566,0.00009416065,0.00046721456,0.0000980553,0.014121695],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99893266,0.00019713593,0.00008694865,0.00021927996,0.00040258016,0.00016134525],"domain_scores_gemma":[0.9961718,0.0014481127,0.00047557038,0.0004980492,0.0008236117,0.0005828099],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008852109,0.00035046917,0.0005443998,0.0010801804,0.0009252103,0.001867741,0.0007270901,0.0005242827,0.002651798],"category_scores_gemma":[0.00635495,0.0003402115,0.0005663052,0.0005285728,0.0028819125,0.003393621,0.0021909706,0.0014292056,0.0007090907],"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":[0.00012069179,0.000046300163,0.0021538683,0.000046570607,0.000007970103,0.00015978684,0.00038798497,0.0017335429,0.005440903,0.9794804,0.00046497228,0.0099570835],"study_design_scores_gemma":[0.000044869732,0.00016011823,0.001024573,0.000041872394,0.00001672357,0.00077884586,0.00039332197,0.01651822,0.015450317,0.95705223,0.00847417,0.00004478022],"about_ca_topic_score_codex":0.00031131372,"about_ca_topic_score_gemma":0.0003002148,"teacher_disagreement_score":0.002651798,"about_ca_system_score_codex":0.0007870833,"about_ca_system_score_gemma":0.0006727666,"threshold_uncertainty_score":0.008871198},"labels":[],"label_agreement":null},{"id":"W7115003719","doi":"10.4064/aa250225-3-8","title":"Torsion of rational elliptic curves over the cyclotomic extensions of Q","year":2025,"lang":"","type":"article","venue":"Acta Arithmetica","topic":"Algebraic Geometry and Number Theory","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":"University of Ottawa","funders":"","keywords":"Torsion (gastropod); Torsion subgroup; Elliptic curve; Abelian group; Isomorphism (crystallography); Prime (order theory); Algebraic number field","score_opus":0.014508907305529504,"score_gpt":0.28822341336622775,"score_spread":0.27371450606069825,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7115003719","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9758995,0.0006016199,0.0062062237,0.0003311383,0.00005302352,0.000021759728,0.00014497683,0.000071174385,0.016670533],"genre_scores_gemma":[0.9946898,0.00035030374,0.0014970979,0.000037915197,0.000113098795,0.000018611954,0.00021531037,0.000016326945,0.0030614703],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99954164,0.00006782393,0.00002916865,0.00009240986,0.00007947576,0.00018945582],"domain_scores_gemma":[0.99933076,0.00019272561,0.0001862734,0.000071072616,0.000053080777,0.00016599114],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058570766,0.00079403474,0.0005716526,0.0023795178,0.001211565,0.0022064385,0.00049562403,0.00053533056,0.0042780074],"category_scores_gemma":[0.0014035733,0.00031538427,0.00040887116,0.0014296018,0.0032126417,0.0024386426,0.0017340604,0.0010709501,0.00060599024],"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":[0.00086307316,0.00017022202,0.01671457,0.00017598491,0.000047540063,0.0019370946,0.0033905453,0.0055188583,0.018132573,0.9062523,0.0020908841,0.04470631],"study_design_scores_gemma":[0.00017302968,0.00039562568,0.013607938,0.00018303658,0.00007160546,0.0024395362,0.0022187447,0.01030153,0.00899097,0.9460743,0.015443456,0.0001002472],"about_ca_topic_score_codex":0.0005434611,"about_ca_topic_score_gemma":0.0002992187,"teacher_disagreement_score":0.0042780074,"about_ca_system_score_codex":0.0008852464,"about_ca_system_score_gemma":0.00037570103,"threshold_uncertainty_score":0.014311373},"labels":[],"label_agreement":null}]}