{"meta":{"query_hash":"a09f5080d983","filters":{"venue":"Mathematical Proceedings of the Cambridge Philosophical Society"},"cohort_total":103,"direct_labels_cover":0,"predictions_cover":103,"exported":103,"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/a09f5080d983","api":"https://metacan.xera.ac/api/v1/cohort?venue=Mathematical+Proceedings+of+the+Cambridge+Philosophical+Society"},"results":[{"id":"W1560303216","doi":"10.1017/s0305004116000797","title":"Increasing subsequences of random walks","year":2016,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Probability and Risk Models","field":"Decision Sciences","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":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"","keywords":"Random walk; Subsequence; Longest increasing subsequence; Upper and lower bounds; Exponent; Sequence (biology); Zero (linguistics)","score_opus":0.0833707892992706,"score_gpt":0.3199049752421128,"score_spread":0.2365341859428422,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1560303216","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9486918,0.00006560229,0.0030227709,0.03614673,0.000087063934,0.00042474113,0.000031395863,0.000041685234,0.011488253],"genre_scores_gemma":[0.99573517,0.000019827005,0.0036861256,0.00019759536,0.00012393776,0.000013932571,1.2590657e-7,0.000014342562,0.00020893037],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9955643,0.00008249269,0.0014090185,0.0005085612,0.0020775318,0.00035810974],"domain_scores_gemma":[0.9943035,0.0035492755,0.00071860244,0.00043298834,0.00082399184,0.00017159371],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.007407682,0.00022677184,0.00079881446,0.000043631742,0.00018737777,0.00006253828,0.001817506,0.00023196997,0.00009890379],"category_scores_gemma":[0.011577819,0.00009206978,0.0009889163,0.0006794826,0.0019984804,0.00042850908,0.0006168689,0.00025094528,0.000035435914],"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":[0.00024356417,0.00034324874,0.0046822294,0.00023592624,0.00007859416,2.2658928e-7,0.0005516091,0.0000028292156,0.09031006,0.89915425,0.0021474224,0.0022500223],"study_design_scores_gemma":[0.0007921896,0.00005564533,0.0012176245,0.000279807,0.000043388918,0.00002046756,0.00012231173,0.0010171451,0.018195495,0.97800153,0.000107027816,0.00014738007],"about_ca_topic_score_codex":0.0000067426527,"about_ca_topic_score_gemma":1.561393e-7,"teacher_disagreement_score":0.07884725,"about_ca_system_score_codex":0.00006168349,"about_ca_system_score_gemma":0.00006236739,"threshold_uncertainty_score":0.9967481},"labels":[],"label_agreement":null},{"id":"W1607728922","doi":"10.1017/s0305004116000566","title":"The slope conjecture for graph knots","year":2016,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Conjecture; Mathematics; Graph; Combinatorics; Pure mathematics","score_opus":0.03474147475750416,"score_gpt":0.278428996888661,"score_spread":0.24368752213115685,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1607728922","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5504675,0.0003529412,0.020559529,0.40004364,0.0007208564,0.0037795552,0.00014312653,0.00039491244,0.023537934],"genre_scores_gemma":[0.99147546,0.000034706405,0.005500891,0.000549455,0.00044285782,0.00014508155,3.7795297e-7,0.000053677635,0.001797461],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99777675,0.000018395218,0.0006980873,0.00037366548,0.0005437711,0.00058936037],"domain_scores_gemma":[0.9950784,0.0036905645,0.0004091758,0.00033773767,0.0003358054,0.00014834882],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012112568,0.000303183,0.0005429643,0.000028538852,0.0005015893,0.000047322446,0.0010474196,0.00030328575,0.000036616508],"category_scores_gemma":[0.0044244938,0.00011981788,0.0009494122,0.00047058504,0.0012195758,0.000094798175,0.0003700437,0.0003109847,0.00001639701],"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":[0.000030381285,0.00012121651,0.00007450701,0.0003076977,0.00012648465,9.193606e-8,0.00009452908,2.8500098e-8,0.0019934876,0.95991266,0.036607347,0.0007315901],"study_design_scores_gemma":[0.000809996,0.000112121095,0.00017145545,0.00013314234,0.000120959965,0.000023505256,0.00010352823,0.000042078875,0.0038787648,0.99168366,0.0027249868,0.00019580108],"about_ca_topic_score_codex":5.2145606e-7,"about_ca_topic_score_gemma":1.0152501e-7,"teacher_disagreement_score":0.44100797,"about_ca_system_score_codex":0.00006317928,"about_ca_system_score_gemma":0.000037005197,"threshold_uncertainty_score":0.5296852},"labels":[],"label_agreement":null},{"id":"W1866317213","doi":"10.1017/s030500411700010x","title":"Diophantine approximation on polynomial curves","year":2017,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","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","funders":"","keywords":"Diophantine approximation; Dimension (graph theory); Polynomial; Euclidean space; Diophantine set; Space (punctuation); Euclidean geometry; Diophantine geometry","score_opus":0.046284162236537536,"score_gpt":0.2971178006492588,"score_spread":0.25083363841272127,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1866317213","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84785795,0.000055719804,0.0003032804,0.04634512,0.00024211365,0.00094451645,0.000028154982,0.00015648235,0.10406665],"genre_scores_gemma":[0.99518853,0.00002359801,0.0024433325,0.0008210309,0.00053799094,0.000041078285,0.0000013002818,0.000048045542,0.0008951003],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976972,0.00002016859,0.00065492786,0.00039801747,0.0008326341,0.0003970992],"domain_scores_gemma":[0.9977138,0.00044223858,0.00081331155,0.00067088334,0.0002104878,0.00014926308],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001412724,0.00033085718,0.0006324011,0.000024791796,0.00075508084,0.00010776099,0.0014411508,0.00023882168,0.00006986392],"category_scores_gemma":[0.0037971043,0.00021425802,0.00072889565,0.0001483361,0.00086706196,0.00029568365,0.0006030269,0.00057850545,0.00004633713],"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":[0.00006681554,0.0005220431,0.00014759843,0.0024456547,0.0001127361,3.863164e-7,0.00014213733,1.02174106e-7,0.0030405128,0.9686614,0.024699392,0.00016117719],"study_design_scores_gemma":[0.0006966661,0.00009507755,0.0010629137,0.0013032407,0.00013022318,0.000020919644,0.00006436586,0.00041253443,0.026831614,0.9689224,0.00016250175,0.0002975364],"about_ca_topic_score_codex":0.000001313522,"about_ca_topic_score_gemma":1.9576307e-8,"teacher_disagreement_score":0.14733055,"about_ca_system_score_codex":0.000055336182,"about_ca_system_score_gemma":0.000022026361,"threshold_uncertainty_score":0.87371886},"labels":[],"label_agreement":null},{"id":"W1907284635","doi":"10.1017/s0305004115000249","title":"On the Hilbert functions of sets of points in <sup>1</sup> × <sup>1</sup> × <sup>1</sup>","year":2015,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic and geometric function theory","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":"McMaster University","funders":"","keywords":"Hilbert R-tree; Hilbert space; Set (abstract data type); Function (biology); Set function; Rigged Hilbert space; Point (geometry)","score_opus":0.050964067259253315,"score_gpt":0.2732105833142875,"score_spread":0.22224651605503418,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1907284635","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9284704,0.00013602238,0.0018631209,0.02639091,0.00010198921,0.0018805263,0.00018313089,0.00018183351,0.040792067],"genre_scores_gemma":[0.9929725,0.000024709416,0.0026772309,0.0011578676,0.00035899266,0.00011434522,0.000011223643,0.00013954076,0.002543585],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9931171,0.000174836,0.002437014,0.0009017143,0.0023957104,0.0009736063],"domain_scores_gemma":[0.9920141,0.004111855,0.0011291301,0.0010718658,0.0011743271,0.00049869344],"candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.004815476,0.00085386226,0.0018847102,0.0003005047,0.0003146022,0.00007139875,0.0016738175,0.0007701995,0.00043188126],"category_scores_gemma":[0.0121286,0.0005416559,0.0016066198,0.0025645592,0.0017164487,0.00034156314,0.0008817775,0.0016513858,0.00018164999],"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":[0.00038556592,0.0026225206,0.00063110434,0.0018925095,0.0007074317,0.0000022402717,0.0074207084,0.0014659824,0.000071757124,0.89931184,0.085332856,0.00015547927],"study_design_scores_gemma":[0.0020293032,0.0004770674,0.00008338381,0.0008065931,0.0005289046,0.000048695343,0.00889706,0.116303824,0.000557746,0.86932874,0.00039082425,0.0005478548],"about_ca_topic_score_codex":0.000025361456,"about_ca_topic_score_gemma":1.6418679e-7,"teacher_disagreement_score":0.11483784,"about_ca_system_score_codex":0.00039658268,"about_ca_system_score_gemma":0.0002113,"threshold_uncertainty_score":0.9997035},"labels":[],"label_agreement":null},{"id":"W1968117046","doi":"10.1017/s0305004104007832","title":"A cubic transformation formula for $_{2}F_{1}(\\frac{1}{3},\\frac{2}{3};1;z)$ and some arithmetic convolution formulae","year":2004,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic and Geometric Analysis","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":"Carleton University","funders":"","keywords":"Transformation (genetics); Mathematics; Convolution (computer science); Arithmetic; Pure mathematics; Combinatorics; Chemistry; Computer science","score_opus":0.03143473855531352,"score_gpt":0.2753136657342814,"score_spread":0.24387892717896786,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1968117046","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84467596,0.0002845103,0.1207837,0.028743554,0.00008927193,0.0024975345,0.00007206957,0.00021386016,0.0026395295],"genre_scores_gemma":[0.9798159,0.000057174013,0.018985031,0.0005571125,0.00024445867,0.00014970438,0.000006842982,0.000056188605,0.00012758622],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99704576,0.000011760502,0.0010947635,0.00045500702,0.0008101265,0.00058257894],"domain_scores_gemma":[0.99799424,0.00059089094,0.000506099,0.00025282428,0.00042722994,0.0002287327],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012452313,0.0004158238,0.00086679735,0.00010885432,0.00045812264,0.00008055177,0.00048622192,0.000402014,0.000011543968],"category_scores_gemma":[0.0012742087,0.00028785874,0.0010077395,0.0007723834,0.0005434602,0.000650779,0.00018496817,0.00045950396,0.00000946729],"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":[0.000046519333,0.00034960333,0.00003624775,0.0019479021,0.00022564067,1.3048663e-7,0.0010051767,0.000005093984,0.0008853962,0.994574,0.0005455095,0.00037874264],"study_design_scores_gemma":[0.001894739,0.00018697305,0.00013022215,0.0002449259,0.0006231647,0.0000314532,0.00061235053,0.007491619,0.0032902998,0.98504657,0.00010324734,0.00034443694],"about_ca_topic_score_codex":0.000006693913,"about_ca_topic_score_gemma":2.9030295e-7,"teacher_disagreement_score":0.13513993,"about_ca_system_score_codex":0.00022001394,"about_ca_system_score_gemma":0.00005799897,"threshold_uncertainty_score":0.9999574},"labels":[],"label_agreement":null},{"id":"W1969104124","doi":"10.1017/s0305004105008790","title":"Homologous non-isotopic symplectic tori in homotopy rational elliptic surfaces","year":2006,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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; McMaster University","funders":"","keywords":"Symplectic geometry; Fibered knot; Homology (biology); Homotopy; Knot (papermaking); Torus; Symplectic representation; Tricolorability","score_opus":0.020479010081621153,"score_gpt":0.25654562227330907,"score_spread":0.23606661219168792,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969104124","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97339594,0.00007441972,0.00053913443,0.01141856,0.00013608951,0.00070291327,0.000010023072,0.000077538716,0.013645374],"genre_scores_gemma":[0.99296886,0.0000074022005,0.0054784985,0.00019869553,0.0003534314,0.00006533794,0.0000020368261,0.000037553436,0.00088818645],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99739677,0.000024851044,0.00093420787,0.00043452875,0.00065496325,0.00055470166],"domain_scores_gemma":[0.99825907,0.00084530696,0.00034996678,0.0002440795,0.00020605714,0.00009553085],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00079125015,0.00032768562,0.00071907864,0.000084172934,0.00017978661,0.000047272435,0.00066239043,0.0003387634,0.00008866508],"category_scores_gemma":[0.0008664206,0.00023058761,0.00048437307,0.0009762407,0.0005868043,0.0001402045,0.00028507863,0.00059070846,0.000027712804],"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":[0.000012487692,0.0006349019,0.0039991415,0.0006099829,0.00004423506,0.0000016025626,0.00015878942,0.0000073069195,0.002417355,0.98806614,0.004025549,0.000022526809],"study_design_scores_gemma":[0.0006918572,0.00010125452,0.0076367822,0.000109164066,0.000072782605,0.00005133119,0.00010694017,0.0019791212,0.002261392,0.98668796,0.000044004035,0.00025741683],"about_ca_topic_score_codex":0.000022506734,"about_ca_topic_score_gemma":0.0000012984354,"teacher_disagreement_score":0.01957291,"about_ca_system_score_codex":0.00016142709,"about_ca_system_score_gemma":0.000056271023,"threshold_uncertainty_score":0.940309},"labels":[],"label_agreement":null},{"id":"W1971795353","doi":"10.1017/s0305004107000874","title":"On ϕ-amenability of Banach algebras","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":111,"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":"Homomorphism; Mathematics; Pure mathematics; Banach algebra; Algebra over a field; Banach space","score_opus":0.06138871546320339,"score_gpt":0.31284633127590666,"score_spread":0.25145761581270326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971795353","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9772757,0.000021214895,0.0003858539,0.005670591,0.00004317198,0.0008497755,0.00002414231,0.00009004055,0.015639506],"genre_scores_gemma":[0.9872253,0.000010660012,0.012019876,0.00025067604,0.00011662603,0.000051719286,6.40453e-7,0.00006145294,0.0002630522],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99639016,0.00003609053,0.000995435,0.0005055493,0.0015552159,0.0005175625],"domain_scores_gemma":[0.996916,0.0012882202,0.00039623288,0.00056297507,0.0006172229,0.0002193289],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000918083,0.00035114377,0.0008616762,0.00004082773,0.00026603547,0.000014343895,0.0010570433,0.00027070724,0.000105038016],"category_scores_gemma":[0.00441493,0.00022633563,0.0008383106,0.000651663,0.001655837,0.00017078714,0.0005519534,0.0008440873,0.000023332514],"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":[0.000066241664,0.0009806039,0.00041043462,0.0011928288,0.00009932524,7.755628e-7,0.0004373985,0.0000018810873,0.009254829,0.98150444,0.0060146498,0.000036614067],"study_design_scores_gemma":[0.0005918629,0.00021310386,0.0006381341,0.00019692001,0.00004949251,0.000029135615,0.00010386406,0.0006613783,0.04138365,0.9558805,0.000025018748,0.00022690656],"about_ca_topic_score_codex":0.000001693651,"about_ca_topic_score_gemma":4.1558767e-8,"teacher_disagreement_score":0.032128822,"about_ca_system_score_codex":0.00017145088,"about_ca_system_score_gemma":0.000078223165,"threshold_uncertainty_score":0.9229699},"labels":[],"label_agreement":null},{"id":"W1977410681","doi":"10.1017/s0305004108001795","title":"Primitive divisors in arithmetic dynamics","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":49,"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; Divisor (algebraic geometry); Degree (music); Prime (order theory); Order (exchange); Combinatorics; Function (biology); Field (mathematics); Rational function; Arithmetic; Algebraic number field; Discrete mathematics; Pure mathematics; Physics","score_opus":0.04338486731396088,"score_gpt":0.2686969834374969,"score_spread":0.225312116123536,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977410681","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93101704,0.000023404988,0.0028094032,0.007444564,0.00007222985,0.0010631583,0.000040570696,0.00012189609,0.057407703],"genre_scores_gemma":[0.98272294,0.00002129936,0.016209403,0.00027777647,0.0000990355,0.00007134151,0.0000019979311,0.000071692084,0.0005245048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99663186,0.000028040726,0.001214701,0.0004954338,0.0010087398,0.0006212489],"domain_scores_gemma":[0.997671,0.0010181641,0.00046293504,0.00036608308,0.00027250563,0.00020927806],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010079901,0.00042851918,0.0009954202,0.000065828484,0.00022264695,0.000034742374,0.0009045199,0.00035690414,0.000054655742],"category_scores_gemma":[0.0021341494,0.00029056726,0.0008238523,0.0007467753,0.0010234597,0.00019286523,0.0005740628,0.00088922156,0.000022267453],"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":[0.000017278897,0.0009314243,0.0011961979,0.00094786723,0.00006617294,0.0000030054641,0.00061266683,0.0000012275666,0.00038180253,0.99462813,0.0011532443,0.000060956067],"study_design_scores_gemma":[0.0006123847,0.00006693954,0.0023737862,0.00038210602,0.00007358577,0.000089792025,0.00021230457,0.043313578,0.0004415395,0.95206547,0.000018047778,0.00035044242],"about_ca_topic_score_codex":0.000004420041,"about_ca_topic_score_gemma":8.0856347e-7,"teacher_disagreement_score":0.056883197,"about_ca_system_score_codex":0.0002506498,"about_ca_system_score_gemma":0.000049483548,"threshold_uncertainty_score":0.99995464},"labels":[],"label_agreement":null},{"id":"W1987708037","doi":"10.1017/s0305004102006175","title":"The centric <i>p</i>-radical complex and a related <i>p</i>-local geometry","year":2002,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":6,"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":"University of Illinois at Urbana-Champaign; Ryerson University","keywords":"Mathematics; Homotopy; Prime (order theory); Geometry; Combinatorics; Pure mathematics; Lie group","score_opus":0.032921137934223896,"score_gpt":0.2574578156079792,"score_spread":0.2245366776737553,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987708037","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72342646,0.0011827173,0.0007652111,0.18604402,0.00041537313,0.0016969524,0.000032165084,0.0004031152,0.08603397],"genre_scores_gemma":[0.9960827,0.00012523975,0.0017441342,0.00097417855,0.00016028884,0.00004440284,6.8462145e-7,0.000047190795,0.00082113716],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970776,0.0000682961,0.0009797025,0.00047654985,0.00068769004,0.0007101924],"domain_scores_gemma":[0.99692076,0.0018933447,0.00039445743,0.00037639771,0.00016272864,0.00025233376],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0011497425,0.00037089383,0.0006915768,0.00003247047,0.0007801837,0.00006244553,0.0009779892,0.0005123239,0.00026717753],"category_scores_gemma":[0.0015669282,0.00020953694,0.00058166875,0.00064118084,0.0044259946,0.000103103666,0.0006842266,0.0011033935,0.000044293058],"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":[0.000017960627,0.00032778652,0.0001467577,0.00026544157,0.00017443627,0.0000022650875,0.00034151482,1.3018432e-7,0.00043319247,0.9750078,0.022576516,0.0007062194],"study_design_scores_gemma":[0.0008073409,0.000116512885,0.0003945122,0.00007881236,0.00019257839,0.00049502135,0.00024671745,0.0053584576,0.0005560479,0.99004436,0.0014378899,0.00027173222],"about_ca_topic_score_codex":0.0000011685228,"about_ca_topic_score_gemma":9.323074e-8,"teacher_disagreement_score":0.27265626,"about_ca_system_score_codex":0.00007814459,"about_ca_system_score_gemma":0.000016144886,"threshold_uncertainty_score":0.9982834},"labels":[],"label_agreement":null},{"id":"W1989160089","doi":"10.1017/s0305004106009492","title":"Quasicomponents in topos theory: the hyperpure, complete spread factorization","year":2007,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","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":"McGill University","funders":"","keywords":"Topos theory; Morphism; Mathematics; Factorization; Social connectedness; Pure mathematics; Category theory; Uniqueness; Discrete mathematics; Algorithm; Mathematical analysis","score_opus":0.044833023723871455,"score_gpt":0.2937925705622619,"score_spread":0.24895954683839042,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1989160089","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9597469,0.000038409173,0.0060536684,0.016630407,0.0002351622,0.0010020812,0.000016006505,0.00010357211,0.016173787],"genre_scores_gemma":[0.99656,0.000005662266,0.0020820536,0.0008453418,0.0002566253,0.00003219219,0.0000018909315,0.000039033195,0.00017723884],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99742186,0.0000734914,0.0009080496,0.00037165824,0.00065628,0.00056863716],"domain_scores_gemma":[0.99714285,0.001832546,0.00038263455,0.00035350918,0.00017847682,0.000109991626],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030610778,0.00031168357,0.0005957283,0.000040677143,0.00026195892,0.000029950183,0.0010485459,0.0004261063,0.000059632144],"category_scores_gemma":[0.0014201406,0.00017676332,0.00045320528,0.0004787554,0.001093467,0.000113858296,0.00040722656,0.0009415014,0.000022455613],"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":[0.000061941864,0.00039143223,0.0013368382,0.0002220206,0.000076724384,0.0000011928261,0.0012202328,3.080536e-7,0.004165439,0.9919318,0.0004467949,0.0001452917],"study_design_scores_gemma":[0.0005348819,0.000066105946,0.003538735,0.000111559195,0.000081942766,0.0000500281,0.00044578617,0.00027586703,0.0025095895,0.9919696,0.0002158813,0.00020006362],"about_ca_topic_score_codex":0.0000055689493,"about_ca_topic_score_gemma":0.00000119568,"teacher_disagreement_score":0.036813058,"about_ca_system_score_codex":0.00011629238,"about_ca_system_score_gemma":0.000027000864,"threshold_uncertainty_score":0.7208199},"labels":[],"label_agreement":null},{"id":"W1990343943","doi":"10.1017/s0305004111000570","title":"Commuting elements, simplicial spaces and filtrations of classifying spaces","year":2011,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":6,"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; Defense Advanced Research Projects Agency; National Science Foundation","keywords":"Classifying space; Mathematics; Homotopy; Homomorphism; Homotopy group; Cohomology; Space (punctuation); Pure mathematics; Group (periodic table); Commutative property; Combinatorics; Discrete mathematics; Computer science; Physics","score_opus":0.07512414483204959,"score_gpt":0.3127888008043935,"score_spread":0.23766465597234387,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990343943","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95323163,0.00016110089,0.00053984654,0.013331313,0.0002320503,0.0012001358,0.00009090897,0.00012122046,0.031091785],"genre_scores_gemma":[0.9769004,0.000051740393,0.022239164,0.0002151971,0.0002976667,0.00008217092,0.000004098942,0.00005752326,0.00015205234],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99691856,0.000064614935,0.0014196954,0.00056320545,0.0005454552,0.00048848847],"domain_scores_gemma":[0.99658805,0.0009510756,0.0015331659,0.0004596452,0.00032224634,0.00014583688],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001317842,0.00050800503,0.0013334571,0.000054026434,0.00031518313,0.0000619827,0.001081628,0.000998306,0.00008616716],"category_scores_gemma":[0.0015088222,0.0003729931,0.00073459174,0.0001978206,0.0020177753,0.00009418677,0.0024901975,0.0016686385,0.0000035581957],"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":[0.000024271638,0.00039346243,0.0011554911,0.0038504263,0.00041001168,4.343489e-7,0.0021602896,2.571453e-7,0.0018866719,0.9879628,0.002072088,0.000083825886],"study_design_scores_gemma":[0.00034082905,0.00009959261,0.0003076055,0.00074068917,0.0005100437,0.000031003816,0.0006196548,0.0006104523,0.004895319,0.9914722,0.00004183444,0.00033080933],"about_ca_topic_score_codex":0.000014990408,"about_ca_topic_score_gemma":0.000001087367,"teacher_disagreement_score":0.030939732,"about_ca_system_score_codex":0.000062618376,"about_ca_system_score_gemma":0.00008843632,"threshold_uncertainty_score":0.9998722},"labels":[],"label_agreement":null},{"id":"W1990755114","doi":"10.1017/s0305004111000636","title":"Computing nilpotent and unipotent canonical forms: a symmetric approach","year":2011,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Algebra and Geometry","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":"Trinity College","funders":"","keywords":"Unipotent; Mathematics; Nilpotent; Algebraically closed field; Pure mathematics; Algebraic group; Group (periodic table); Linear algebraic group; Diagonal; Canonical form; Classical group; Algebraic number; Lie group; Reductive group; Bilinear form; Combinatorics; Group theory; Mathematical analysis","score_opus":0.05706800603352338,"score_gpt":0.2813917032998321,"score_spread":0.2243236972663087,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990755114","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9101963,0.0009174545,0.02361007,0.005011282,0.00030132,0.003185055,0.00009149119,0.00043205393,0.056254953],"genre_scores_gemma":[0.9242096,0.000090691894,0.074683726,0.0003152171,0.00038770537,0.00006904934,0.0000055506803,0.00012652755,0.00011193476],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99526423,0.000029453608,0.0015372526,0.0011141999,0.0012157072,0.0008391328],"domain_scores_gemma":[0.99664074,0.00065702735,0.0011817904,0.00065324246,0.00045220583,0.00041496838],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.001476605,0.000860882,0.0017494854,0.00012168497,0.00033904603,0.00011545532,0.0014560552,0.0010530866,0.000011865982],"category_scores_gemma":[0.0015529657,0.0005656834,0.0014099106,0.00074702763,0.0010784233,0.00013760322,0.005263536,0.002671152,0.0000054786783],"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":[0.00002814166,0.0007807731,0.00008589991,0.007489037,0.00037811222,9.4089916e-7,0.00055352336,0.000005419543,0.00012876738,0.9891023,0.00095591845,0.00049113744],"study_design_scores_gemma":[0.00056688656,0.000082986306,0.00028609083,0.00093729165,0.0005453931,0.00009305837,0.00030406413,0.007603498,0.0006461055,0.98827463,0.000023577712,0.0006363919],"about_ca_topic_score_codex":0.0000038157477,"about_ca_topic_score_gemma":6.129374e-8,"teacher_disagreement_score":0.05614302,"about_ca_system_score_codex":0.0002465529,"about_ca_system_score_gemma":0.0001111921,"threshold_uncertainty_score":0.99967945},"labels":[],"label_agreement":null},{"id":"W1999035816","doi":"10.1017/s0305004108001965","title":"The equivariant cohomology ring of weighted projective space","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Cohomology ring; Projective space; Equivariant cohomology; Cohomology; Real projective space; Complex projective space; Equivariant map; Ring (chemistry); Quaternionic projective space; Chern class","score_opus":0.05535023589630404,"score_gpt":0.2777609714214805,"score_spread":0.22241073552517643,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999035816","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9327276,0.0000822958,0.001360222,0.015548506,0.00013415741,0.001117945,0.000016820448,0.00012098442,0.04889147],"genre_scores_gemma":[0.99078,0.000022982624,0.008197903,0.00010693463,0.0001880303,0.00005256762,4.3015962e-7,0.000039687864,0.0006114941],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99739957,0.00004236808,0.0008707312,0.00035969535,0.0008155492,0.0005120657],"domain_scores_gemma":[0.9969433,0.001400163,0.0006405228,0.0003944738,0.00050516566,0.00011637251],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011485368,0.00031404843,0.0007139822,0.000031999927,0.00059494993,0.000024367193,0.0010784249,0.00025257326,0.000026548378],"category_scores_gemma":[0.0014640528,0.00017289406,0.0007159934,0.000670535,0.001442103,0.00011285588,0.0007258655,0.00061689445,0.00001038432],"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":[0.00005435971,0.00037829395,0.00025785135,0.00056445925,0.00020800617,0.0000011462567,0.00079992315,3.2028575e-7,0.0056969253,0.9889033,0.0031169513,0.000018461738],"study_design_scores_gemma":[0.00053134834,0.000161916,0.00076455536,0.00016452608,0.00014009008,0.00018534565,0.00040256002,0.0020518957,0.013400407,0.98182434,0.00015159139,0.00022140508],"about_ca_topic_score_codex":0.000005596105,"about_ca_topic_score_gemma":1.379353e-7,"teacher_disagreement_score":0.058052372,"about_ca_system_score_codex":0.000079675476,"about_ca_system_score_gemma":0.0000649798,"threshold_uncertainty_score":0.70504147},"labels":[],"label_agreement":null},{"id":"W1999882786","doi":"10.1017/s0305004102005972","title":"Sur la loi de répartition du <i>k</i>-ième facteur premier d'un entier","year":2002,"lang":"fr","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number 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":"Université Laval","funders":"","keywords":"Mathematics; Humanities; Combinatorics; Philosophy","score_opus":0.033990750582390476,"score_gpt":0.26279228073832295,"score_spread":0.22880153015593246,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999882786","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6279498,0.0013351156,0.003926769,0.16032581,0.00044060338,0.0022192646,0.00020467154,0.0003166449,0.20328137],"genre_scores_gemma":[0.9591108,0.0003759939,0.0067342836,0.0009338372,0.001187115,0.000093792405,0.0000028449429,0.00020636192,0.031354953],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9942944,0.00021700143,0.0014612307,0.0007785957,0.0018497109,0.0013990779],"domain_scores_gemma":[0.9951291,0.0020708044,0.00068131293,0.00061323034,0.0008707178,0.0006348026],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0036176173,0.0007258357,0.0011930651,0.00005629929,0.00044285445,0.00028825836,0.0015654487,0.0009938861,0.0027544668],"category_scores_gemma":[0.0045937137,0.0005699735,0.0017664172,0.00084189716,0.0024858247,0.0006488784,0.0011058421,0.0019685447,0.000587009],"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":[0.000046294805,0.0027407627,0.0007048493,0.004660808,0.00062903366,0.000007968349,0.0023438751,0.0000028224676,0.0031112733,0.85644376,0.12865187,0.0006566868],"study_design_scores_gemma":[0.001323199,0.00012878029,0.00020578368,0.0012770086,0.00084737927,0.00036359424,0.00027240225,0.03859173,0.006974118,0.9416778,0.007684483,0.0006537415],"about_ca_topic_score_codex":0.000010600134,"about_ca_topic_score_gemma":1.6747622e-7,"teacher_disagreement_score":0.33116105,"about_ca_system_score_codex":0.00063704373,"about_ca_system_score_gemma":0.00009181767,"threshold_uncertainty_score":0.99967515},"labels":[],"label_agreement":null},{"id":"W2003728720","doi":"10.1017/s0305004112000114","title":"On the set of zero coefficients of a function satisfying a linear differential equation","year":2012,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Differential Equations and Dynamical Systems","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":"University of Waterloo; Simon Fraser University","funders":"","keywords":"Homogeneous differential equation; Zero (linguistics); Constant coefficients; Linear differential equation; Differential equation; Power series; Constant (computer programming); Function (biology); Linear equation; Riccati equation","score_opus":0.07357298192883396,"score_gpt":0.29770793885989616,"score_spread":0.2241349569310622,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003728720","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82002705,0.00001378939,0.17658682,0.0010918237,0.00014053423,0.00074786745,0.000040808874,0.000034166267,0.0013171628],"genre_scores_gemma":[0.997554,0.0000019687573,0.0020736142,0.00006378035,0.00018245401,0.000040183066,0.000003512583,0.000031264448,0.00004923876],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975357,0.00004467839,0.0009577418,0.00020199784,0.0009461514,0.00031375236],"domain_scores_gemma":[0.9972034,0.0012713713,0.0008249315,0.0002690208,0.00031238075,0.00011889329],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008167415,0.00023843719,0.0005602251,0.000031423704,0.00016708818,0.000013852117,0.00038087228,0.00019075625,0.000056495464],"category_scores_gemma":[0.0022492728,0.0001288987,0.0005672903,0.00037751198,0.0003852544,0.00012279915,0.00022354853,0.00033273388,0.000006175158],"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":[0.00006440381,0.0005697764,0.00018569377,0.0008373972,0.00010450188,8.817208e-9,0.0005203872,0.000016017499,0.015059959,0.98225456,0.00026615668,0.00012114897],"study_design_scores_gemma":[0.00058865495,0.00017187568,0.00057663326,0.00055126665,0.00026243847,0.0000023000637,0.00022824742,0.038068693,0.0073021427,0.9520589,0.000009074141,0.00017975687],"about_ca_topic_score_codex":0.0000032824448,"about_ca_topic_score_gemma":4.376443e-8,"teacher_disagreement_score":0.17752695,"about_ca_system_score_codex":0.000064343025,"about_ca_system_score_gemma":0.000016813387,"threshold_uncertainty_score":0.52563363},"labels":[],"label_agreement":null},{"id":"W2004684167","doi":"10.1017/s030500411400036x","title":"The Steklov spectrum of surfaces: asymptotics and invariants","year":2014,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":23,"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; Université Laval","funders":"Engineering and Physical Sciences Research Council","keywords":"Eigenvalues and eigenvectors; Spectrum (functional analysis); Mathematical proof; Operator (biology); Surface (topology)","score_opus":0.02504317373369494,"score_gpt":0.26039151023468887,"score_spread":0.23534833650099393,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2004684167","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9339974,0.000065778935,0.0030018627,0.018517267,0.00015001322,0.0011693153,0.000022236083,0.00014124803,0.04293491],"genre_scores_gemma":[0.98858535,0.000028413864,0.010717466,0.00018115551,0.00021347373,0.000019090996,3.2748522e-7,0.00006921643,0.00018548091],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99679613,0.0000679187,0.0011604053,0.00039926148,0.0010223404,0.0005539682],"domain_scores_gemma":[0.99415207,0.00408847,0.0007428736,0.00056445267,0.00026051546,0.00019163366],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026424218,0.00040654934,0.0008960992,0.000020562156,0.00036983367,0.00008961253,0.0011907562,0.00024851912,0.000017821316],"category_scores_gemma":[0.003931617,0.00022340464,0.0005774881,0.00043692894,0.0019537716,0.00015987703,0.0007027691,0.00065340934,0.000011453725],"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":[0.000026934618,0.000274671,0.0001068992,0.0012347631,0.00014035405,7.704615e-8,0.00036435315,0.0000014187893,0.003323945,0.99344265,0.0010090043,0.00007495373],"study_design_scores_gemma":[0.0004436151,0.00013160495,0.00027447235,0.00033623693,0.00018667697,0.000016607222,0.00021856563,0.0069832485,0.010888469,0.9802082,0.00006442496,0.00024788815],"about_ca_topic_score_codex":0.0000016156622,"about_ca_topic_score_gemma":2.0005518e-7,"teacher_disagreement_score":0.05458801,"about_ca_system_score_codex":0.00006212027,"about_ca_system_score_gemma":0.000028716491,"threshold_uncertainty_score":0.91101766},"labels":[],"label_agreement":null},{"id":"W2005570059","doi":"10.1017/s0305004106009947","title":"On positive cosine sums","year":2007,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Functional Equations Stability Results","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 Alberta","funders":"","keywords":"Mathematics; Trigonometric functions; Set (abstract data type); Mathematical analysis; Pure mathematics; Arithmetic; Computer science; Geometry","score_opus":0.03856725739056618,"score_gpt":0.29480658697064077,"score_spread":0.2562393295800746,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005570059","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8430176,0.000010838765,0.003263339,0.024539933,0.0001359204,0.0011384691,0.000067713976,0.0001884156,0.12763777],"genre_scores_gemma":[0.99007505,0.0000010834742,0.008285405,0.00075811386,0.0002552634,0.000018284956,0.0000027669541,0.000045629593,0.00055840315],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971715,0.000014532181,0.0008315923,0.000406954,0.0011340366,0.000441339],"domain_scores_gemma":[0.9959498,0.0026540598,0.00034042427,0.00030327833,0.00057094416,0.00018147254],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018495702,0.00029897434,0.00047236108,0.000038073205,0.0002541525,0.000036514928,0.0005302229,0.0002497527,0.00006990613],"category_scores_gemma":[0.004515804,0.000197371,0.0006523241,0.00051335956,0.0006263744,0.000103346574,0.00025742478,0.00061328313,0.000057328612],"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":[0.00014526004,0.0008108616,0.00006348349,0.0003533314,0.00008313342,3.7713883e-7,0.00023060683,0.0000013486649,0.003087649,0.9849818,0.010196214,0.000045933262],"study_design_scores_gemma":[0.0006106678,0.00017372977,0.0010241979,0.00029700695,0.0000805337,0.000019367815,0.00012589249,0.0007028045,0.0108363945,0.9858565,0.00005338807,0.00021955092],"about_ca_topic_score_codex":0.0000015498615,"about_ca_topic_score_gemma":2.1764868e-7,"teacher_disagreement_score":0.14705744,"about_ca_system_score_codex":0.00024556747,"about_ca_system_score_gemma":0.000032426702,"threshold_uncertainty_score":0.80485564},"labels":[],"label_agreement":null},{"id":"W2011516158","doi":"10.1017/s0305004111000752","title":"Nair–Tenenbaum bounds uniform with respect to the discriminant","year":2012,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":53,"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":"Discriminant; Mathematics; Combinatorics; Upper and lower bounds; Mathematical analysis; Artificial intelligence; Computer science","score_opus":0.062301410409566785,"score_gpt":0.31833331916028995,"score_spread":0.2560319087507232,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011516158","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7968801,0.00006974666,0.0032938635,0.115201555,0.00014848656,0.0022699062,0.00003634188,0.0002078452,0.08189212],"genre_scores_gemma":[0.9883084,0.0000048280062,0.007857693,0.0008008719,0.0006760711,0.000117612464,7.6803286e-7,0.00009576335,0.002137938],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996065,0.00004513022,0.0007191555,0.00040616095,0.0016984465,0.0010660873],"domain_scores_gemma":[0.99727374,0.000865641,0.0002979491,0.000681979,0.00040519342,0.0004754761],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033018677,0.00042786688,0.0006801795,0.00004038718,0.0005552027,0.000118828066,0.0016173198,0.00019802462,0.00007378167],"category_scores_gemma":[0.0016252467,0.00019277936,0.0006147665,0.00079276954,0.0010431515,0.0002850207,0.0010421821,0.0008937277,0.000110381865],"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":[0.00010872536,0.00048161892,0.0005015137,0.0005937723,0.00018963039,4.7175087e-7,0.0019666527,6.0096903e-7,0.000786771,0.9739277,0.021383395,0.000059153957],"study_design_scores_gemma":[0.00054947386,0.0002264894,0.0009175743,0.00044460627,0.00037574317,0.00013071038,0.0018035027,0.00066245074,0.0040454683,0.9883305,0.002057015,0.00045646145],"about_ca_topic_score_codex":0.0000064067194,"about_ca_topic_score_gemma":6.5430163e-7,"teacher_disagreement_score":0.19142832,"about_ca_system_score_codex":0.00024382942,"about_ca_system_score_gemma":0.00006663861,"threshold_uncertainty_score":0.7861314},"labels":[],"label_agreement":null},{"id":"W2016727258","doi":"10.1017/s0305004107000266","title":"Unital Banach algebras and their subalgebras","year":2007,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra 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":"Lakehead University","funders":"","keywords":"Bounded function; Unital; Mathematics; Subalgebra; Identity (music); Banach algebra; Multiplication (music); Discrete mathematics; Pure mathematics; Algebra over a field; Combinatorics; Mathematical analysis","score_opus":0.03694360382189369,"score_gpt":0.30033671037018284,"score_spread":0.2633931065482891,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016727258","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9756654,0.00011033183,0.0025006472,0.0072601326,0.000058134963,0.0008287106,0.00001994747,0.00016198291,0.013394719],"genre_scores_gemma":[0.9872846,0.000014249764,0.01165917,0.00039885505,0.00027780415,0.000023588267,0.000001099678,0.00008983424,0.000250776],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99683285,0.000023157174,0.00088073907,0.00054397003,0.0009074223,0.000811883],"domain_scores_gemma":[0.99712914,0.0013540268,0.00028078558,0.00038053992,0.00046355344,0.00039193383],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0023491564,0.0004548012,0.00072322856,0.000058149275,0.00036557912,0.00008328058,0.0008918064,0.00034490007,0.00004549962],"category_scores_gemma":[0.0019863697,0.00027889735,0.0005151839,0.00073435943,0.0012847946,0.00030197142,0.0009075342,0.0009965049,0.00001506494],"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":[0.000042698233,0.00029590214,0.00059237843,0.00074739126,0.00011660618,0.0000010948004,0.0006496051,8.6728015e-8,0.014056965,0.9814938,0.0016369792,0.00036651356],"study_design_scores_gemma":[0.00058141054,0.00010625393,0.00075008324,0.00015969596,0.000057482088,0.00007507027,0.0009527261,0.00048744548,0.03556048,0.96080786,0.00012180053,0.00033970285],"about_ca_topic_score_codex":0.0000018312475,"about_ca_topic_score_gemma":3.9782174e-7,"teacher_disagreement_score":0.021503516,"about_ca_system_score_codex":0.00014294093,"about_ca_system_score_gemma":0.00004454249,"threshold_uncertainty_score":0.9999663},"labels":[],"label_agreement":null},{"id":"W2019744979","doi":"10.1017/s0305004107000229","title":"Klein slopes on hyperbolic 3-manifolds","year":2007,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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":"Université de Moncton","funders":"","keywords":"Klein bottle; Torus; Mathematics; Boundary (topology); Hyperbolic 3-manifold; Manifold (fluid mechanics); Hyperbolic manifold; Relatively hyperbolic group; Pure mathematics; Upper and lower bounds; Mathematical analysis; Combinatorics; Geometry; Hyperbolic function","score_opus":0.03874512328547219,"score_gpt":0.2877563795152289,"score_spread":0.24901125622975673,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2019744979","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.875996,0.000040134903,0.0012556849,0.017692,0.0001747495,0.00060572335,0.000010220132,0.00019059451,0.10403487],"genre_scores_gemma":[0.9887868,0.000007961321,0.008453384,0.0012188794,0.00050674914,0.00001638281,6.079918e-7,0.00005776372,0.0009514678],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970932,0.000014101136,0.0008734716,0.0004436919,0.0008998971,0.0006756558],"domain_scores_gemma":[0.9976042,0.0012139371,0.00038025726,0.00033616275,0.0002319368,0.00023353325],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00175288,0.00036641417,0.0006981313,0.00008070947,0.00023584004,0.000035371548,0.0008949259,0.0003832366,0.00010291393],"category_scores_gemma":[0.002069985,0.00023203908,0.0007572052,0.00086404727,0.0006287923,0.00009706939,0.00040157884,0.00070038356,0.00008256075],"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":[0.000032297336,0.00051188254,0.00024724973,0.00039544338,0.00008828055,0.0000011609937,0.00023057754,1.8328319e-7,0.0018723815,0.9865881,0.009646717,0.00038568658],"study_design_scores_gemma":[0.00057484565,0.00018006696,0.0011556678,0.00015749839,0.000112858295,0.000048095724,0.0002962244,0.00008931349,0.010267161,0.9858023,0.0010128868,0.00030306197],"about_ca_topic_score_codex":0.0000023374894,"about_ca_topic_score_gemma":1.2130417e-7,"teacher_disagreement_score":0.112790786,"about_ca_system_score_codex":0.00010344875,"about_ca_system_score_gemma":0.000024814159,"threshold_uncertainty_score":0.9462279},"labels":[],"label_agreement":null},{"id":"W2021161269","doi":"10.1017/s030500410700103x","title":"The support of tempered distributions","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Harmonic Analysis 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":"University of British Columbia","funders":"","keywords":"Mathematics; Distribution (mathematics); Fourier transform; Polynomial; Bounded function; Lemma (botany); Sequence (biology); Space (punctuation); Pure mathematics; Combinatorics; Mathematical analysis; Computer science","score_opus":0.07341581511049891,"score_gpt":0.3257089004339785,"score_spread":0.2522930853234796,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021161269","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8622653,0.00020135602,0.011699704,0.06969035,0.00011788353,0.0022853357,0.00022864692,0.00024315204,0.053268265],"genre_scores_gemma":[0.9932479,0.00010543279,0.005417011,0.00006355353,0.00011083048,0.000056462046,0.0000021205096,0.00003562512,0.00096104195],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968991,0.00002716874,0.0010017656,0.00030316506,0.0012699055,0.0004988684],"domain_scores_gemma":[0.99689823,0.001276784,0.0005037714,0.00046087833,0.0006977285,0.00016263034],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011435758,0.00024800704,0.0006253678,0.000020715366,0.0007195535,0.000021630107,0.0012067484,0.00017777621,0.00005303407],"category_scores_gemma":[0.0032112252,0.00013181152,0.0010331715,0.0006772334,0.0022837592,0.00012803012,0.0006253833,0.00063624245,0.000017681452],"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":[0.000027381746,0.0003649508,0.0002529396,0.00034034322,0.00021027279,4.273093e-7,0.00026173273,5.4595046e-7,0.0055351704,0.97133744,0.021619232,0.00004957536],"study_design_scores_gemma":[0.00042171113,0.000073191346,0.00037169002,0.00007826829,0.00014498203,0.000053990425,0.00025962756,0.00095939595,0.0155497445,0.98098385,0.0009201164,0.00018342017],"about_ca_topic_score_codex":0.0000015127059,"about_ca_topic_score_gemma":1.06100345e-7,"teacher_disagreement_score":0.13098261,"about_ca_system_score_codex":0.00011947147,"about_ca_system_score_gemma":0.00009245025,"threshold_uncertainty_score":0.8414606},"labels":[],"label_agreement":null},{"id":"W2021454930","doi":"10.1017/s030500410800131x","title":"Estimations of the remainder of spherical harmonic series","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Mathematical Approximation and Integration","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 Alberta","funders":"","keywords":"Remainder; Series (stratigraphy); Term (time); Mathematics; Constant (computer programming); Harmonic; Asymptotic expansion; Mathematical analysis; Applied mathematics; Computer science; Physics; Arithmetic; Geology; Acoustics","score_opus":0.0626533740493107,"score_gpt":0.27740799534264904,"score_spread":0.21475462129333833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021454930","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9304329,0.000032941618,0.009651433,0.022288885,0.00010807287,0.0014890657,0.000041360356,0.00010654508,0.03584879],"genre_scores_gemma":[0.9126729,0.000009682767,0.08633359,0.00015832401,0.00007149219,0.00004490813,9.0369775e-7,0.0000366363,0.00067156774],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99691224,0.000038621398,0.0013861927,0.00026680576,0.0011121331,0.00028399492],"domain_scores_gemma":[0.99731094,0.0005498804,0.0009388152,0.0004466712,0.00065029605,0.00010339259],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007017051,0.0002886133,0.00077556726,0.000023690807,0.00025531033,0.000014927924,0.0008528262,0.00024513935,0.00013797358],"category_scores_gemma":[0.0030117603,0.00015492713,0.0009683796,0.0006926708,0.0016613867,0.00022750355,0.00037196482,0.0004826297,0.0000074445875],"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":[0.000020921154,0.0006149934,0.00015638673,0.0016175165,0.000083849314,7.58718e-8,0.0010247336,0.0000012421541,0.009935574,0.9811488,0.005376509,0.000019414574],"study_design_scores_gemma":[0.0003605013,0.0000732695,0.0006201305,0.00041909888,0.00013282076,0.000057820092,0.00028384308,0.0045169583,0.072153494,0.9211705,0.000045402205,0.00016618319],"about_ca_topic_score_codex":0.0000020145067,"about_ca_topic_score_gemma":1.2970526e-7,"teacher_disagreement_score":0.07668216,"about_ca_system_score_codex":0.00006763116,"about_ca_system_score_gemma":0.0000838287,"threshold_uncertainty_score":0.6317745},"labels":[],"label_agreement":null},{"id":"W2022110550","doi":"10.1017/s0305004106009339","title":"The support of pseudomeasures on","year":2007,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Spectral Theory in Mathematical Physics","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 British Columbia","funders":"","keywords":"Combinatorics; Mathematics; Norm (philosophy); Kernel (algebra); Discrete mathematics; Philosophy","score_opus":0.04284761130783599,"score_gpt":0.30874926177267065,"score_spread":0.26590165046483466,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022110550","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72215563,0.000030364263,0.0023316087,0.017400034,0.00026740183,0.0017358881,0.000027216838,0.00022505887,0.25582677],"genre_scores_gemma":[0.9923544,0.000007708912,0.0064799655,0.00035622428,0.00032655927,0.000024943283,3.5818337e-7,0.000074538926,0.00037529448],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99581575,0.000030320241,0.0014213667,0.0003736784,0.0016746796,0.00068419054],"domain_scores_gemma":[0.99328446,0.0046326593,0.00079009065,0.00061872695,0.00047482553,0.00019921633],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004605008,0.00040708497,0.00078768487,0.000031469895,0.00036350326,0.000046477373,0.0015354564,0.00026418065,0.000041573523],"category_scores_gemma":[0.004104129,0.00021296852,0.001149092,0.00060453266,0.0017336681,0.00011007292,0.0003899821,0.0008139092,0.000034574594],"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":[0.00010691104,0.00061150274,0.000037342,0.0007273812,0.00014743152,3.156443e-7,0.0003262285,4.565453e-7,0.008735673,0.982087,0.0070663914,0.00015332585],"study_design_scores_gemma":[0.00037592158,0.0001976687,0.0001768462,0.00021005375,0.00012554912,0.000016685995,0.00022681197,0.00011608467,0.061255876,0.9368929,0.00018443578,0.00022112994],"about_ca_topic_score_codex":6.766844e-7,"about_ca_topic_score_gemma":1.3372555e-7,"teacher_disagreement_score":0.27019876,"about_ca_system_score_codex":0.00011858603,"about_ca_system_score_gemma":0.0000373542,"threshold_uncertainty_score":0.8684604},"labels":[],"label_agreement":null},{"id":"W2038182478","doi":"10.1017/s0305004113000558","title":"Some reductions of the spectral set conjecture to integers","year":2013,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Conjecture; Bounded function; Set (abstract data type); Property (philosophy); Dimension (graph theory); Beal's conjecture","score_opus":0.045508528088374293,"score_gpt":0.3032799253875487,"score_spread":0.2577713972991744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2038182478","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89435244,0.00003642089,0.0023979528,0.089178726,0.00017443109,0.0019433313,0.000044724045,0.00009597809,0.011776026],"genre_scores_gemma":[0.96560407,0.0000061417104,0.032651592,0.0006229049,0.00032503056,0.00010786998,5.4592397e-7,0.00004923287,0.00063262164],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99698675,0.00004561178,0.001148596,0.0003896449,0.00095359917,0.00047582018],"domain_scores_gemma":[0.99780697,0.00062348484,0.00043113725,0.00051741436,0.0003755665,0.00024544005],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010292492,0.00037095102,0.0009291994,0.000041206866,0.00023810542,0.000059217982,0.00119823,0.0002573994,0.00022846759],"category_scores_gemma":[0.0013197368,0.00018369446,0.0015836486,0.00086347095,0.0007863929,0.00020041458,0.0004113699,0.00072865933,0.000029686742],"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":[0.000007515241,0.00032441018,0.00003974203,0.0010921743,0.0002286699,5.2812563e-8,0.00077968236,0.0000026143205,0.013583149,0.97286403,0.011022509,0.000055426637],"study_design_scores_gemma":[0.00024323947,0.00006347183,0.00022280787,0.0003352897,0.0003230003,0.000019079425,0.0005294676,0.0010035674,0.032943252,0.96402436,0.0000741344,0.00021829928],"about_ca_topic_score_codex":0.000009758842,"about_ca_topic_score_gemma":1.9866931e-7,"teacher_disagreement_score":0.08855583,"about_ca_system_score_codex":0.00008142672,"about_ca_system_score_gemma":0.00004043371,"threshold_uncertainty_score":0.74908423},"labels":[],"label_agreement":null},{"id":"W2044430079","doi":"10.1017/s0305004110000277","title":"Stable splittings, spaces of representations and almost commuting elements in Lie groups","year":2010,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":22,"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":"Lie group; Quotient; Simple Lie group; Point (geometry); Rank (graph theory); Space (punctuation); Compact group; Suspension (topology); Group (periodic table)","score_opus":0.028853838163680822,"score_gpt":0.3003894240605268,"score_spread":0.271535585896846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044430079","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9790916,0.000019535255,0.00006056208,0.010179185,0.00006934648,0.00045886647,0.0000128122565,0.000035260906,0.01007283],"genre_scores_gemma":[0.98349583,0.00000877836,0.01609166,0.00015901795,0.00008872327,0.00003301703,0.0000010369889,0.00002404788,0.00009786931],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980615,0.000029081946,0.00089325215,0.00030654485,0.00035140247,0.0003582327],"domain_scores_gemma":[0.99800885,0.00097242644,0.000502002,0.00026660375,0.00015695866,0.00009317203],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014684299,0.00020698967,0.00057380216,0.00003801299,0.00016535554,0.0000248562,0.0005111836,0.00028835784,0.000054534634],"category_scores_gemma":[0.0021704307,0.0001530822,0.00021311584,0.00031244927,0.0011354701,0.00012732687,0.00055823347,0.0008461843,0.0000023353996],"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":[0.000015256967,0.0003703294,0.017944492,0.00068249716,0.00006036325,4.9556127e-7,0.0012691094,7.7881865e-8,0.019417772,0.9597017,0.00047633625,0.000061547806],"study_design_scores_gemma":[0.0005577456,0.000056873567,0.0031144072,0.00015140978,0.000073239884,0.000039903127,0.0010420203,0.00057346653,0.009671477,0.9845425,0.000027406606,0.00014953986],"about_ca_topic_score_codex":0.0000126337945,"about_ca_topic_score_gemma":0.0000023224989,"teacher_disagreement_score":0.02484079,"about_ca_system_score_codex":0.000023052293,"about_ca_system_score_gemma":0.000025728363,"threshold_uncertainty_score":0.62425107},"labels":[],"label_agreement":null},{"id":"W2049563307","doi":"10.1017/s0305004105008522","title":"Vector bundles of low geometric dimension over real projective spaces","year":2005,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Topics in Algebra","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 British Columbia","funders":"","keywords":"Vector bundle; Dimension (graph theory); Mathematics; Projective test; Pure mathematics; Construct (python library); Mathematical analysis; Topology (electrical circuits); Algebra over a field; Combinatorics; Computer science","score_opus":0.03228497700188298,"score_gpt":0.29821893688385825,"score_spread":0.26593395988197527,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2049563307","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98100317,0.00005829655,0.0006102363,0.005422916,0.0000816365,0.00090462586,0.000026600097,0.00012541366,0.011767123],"genre_scores_gemma":[0.95832676,0.000030741285,0.040697202,0.00012540394,0.00042751225,0.00003825723,8.6145445e-7,0.00006468215,0.0002885967],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970434,0.00002070734,0.0009204082,0.00046217084,0.0010998681,0.0004534672],"domain_scores_gemma":[0.997361,0.00091777474,0.00074540195,0.0003730914,0.00046138073,0.00014132871],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007260171,0.0003722483,0.0008213606,0.00008018866,0.00015569583,0.00003283957,0.0007095785,0.00031289176,0.000047309313],"category_scores_gemma":[0.0020757774,0.00024979,0.0006857811,0.0009295863,0.0007441349,0.000285238,0.00059689174,0.00060120557,0.0000116833335],"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":[0.000042171872,0.0008233584,0.0003462029,0.0016162214,0.0001388259,2.2296183e-7,0.0006514666,0.0000017497548,0.013273701,0.9808005,0.0021115714,0.00019397396],"study_design_scores_gemma":[0.00067770557,0.00014408336,0.0014329304,0.00048507826,0.00015027744,0.000013442058,0.00020607839,0.000995112,0.057039943,0.93847436,0.00006216592,0.00031883296],"about_ca_topic_score_codex":0.0000032604312,"about_ca_topic_score_gemma":1.9304568e-7,"teacher_disagreement_score":0.04376624,"about_ca_system_score_codex":0.00022692753,"about_ca_system_score_gemma":0.000044665958,"threshold_uncertainty_score":0.9999954},"labels":[],"label_agreement":null},{"id":"W2058633991","doi":"10.1017/s0305004101005825","title":"Exponents and suspension","year":2002,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":8,"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; Exponent; Suspension (topology); Homotopy group; Homotopy; Prime (order theory); Conjecture; Corollary; Pure mathematics; n-connected; Combinatorics","score_opus":0.050475208591248814,"score_gpt":0.2708677176050827,"score_spread":0.2203925090138339,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2058633991","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94847846,0.00008185351,0.00008487526,0.025051054,0.00008711554,0.00038925832,0.000004474942,0.000092859555,0.025730068],"genre_scores_gemma":[0.9944882,0.000031343163,0.003953267,0.000608613,0.00014707267,0.000023405197,2.2732048e-7,0.000028923045,0.0007189748],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983861,0.000022011945,0.0005139228,0.000332711,0.00039286935,0.00035242317],"domain_scores_gemma":[0.99885345,0.00044672587,0.00022568752,0.00021876986,0.00011728536,0.00013808727],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048144296,0.00023435033,0.0004904954,0.000020435076,0.00021629542,0.000022480303,0.00043198612,0.00030979287,0.00020181149],"category_scores_gemma":[0.00080028933,0.00015299303,0.00032042575,0.00019437927,0.0009821941,0.00010313998,0.0004490134,0.00047290724,0.000031139418],"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":[0.000009194631,0.00029088045,0.00034294324,0.00034825702,0.00006351596,9.1338444e-7,0.0005265731,1.8191978e-8,0.0040547014,0.98512733,0.009074101,0.00016158939],"study_design_scores_gemma":[0.00046260527,0.0000793514,0.00031884984,0.00010289817,0.00009471243,0.00014283406,0.00012540686,0.00096818514,0.003767103,0.9936222,0.00013610556,0.0001797827],"about_ca_topic_score_codex":7.622468e-7,"about_ca_topic_score_gemma":4.3067576e-8,"teacher_disagreement_score":0.046009734,"about_ca_system_score_codex":0.000033357614,"about_ca_system_score_gemma":0.000004842643,"threshold_uncertainty_score":0.6238875},"labels":[],"label_agreement":null},{"id":"W2064154513","doi":"10.1017/s0305004108001102","title":"The Brauer–Manin obstruction on del Pezzo surfaces of degree 2 branched along a plane section of a Kummer surface","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic Geometry and Number Theory","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 Waterloo","funders":"","keywords":"Mathematics; Brauer group; Section (typography); Plane (geometry); Pure mathematics; Degree (music); Geometry; Physics; Computer science","score_opus":0.05433802917482678,"score_gpt":0.2620239423837,"score_spread":0.20768591320887325,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2064154513","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99101,0.00008169178,0.00021966393,0.002595121,0.0001602194,0.0005806598,0.000025537664,0.00006570787,0.0052613723],"genre_scores_gemma":[0.99696016,0.000045352128,0.0023683354,0.00007518006,0.00018439897,0.000013449532,0.0000016560201,0.00004736668,0.00030411044],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970113,0.000060708146,0.001124431,0.00036088348,0.0010478233,0.00039483854],"domain_scores_gemma":[0.9962045,0.001880336,0.0009452247,0.00038325376,0.00047464328,0.000112025984],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014990523,0.00035030133,0.00077376794,0.000031746644,0.00042420707,0.000017571723,0.00070103107,0.00033649604,0.000026722311],"category_scores_gemma":[0.0016180875,0.00021183628,0.00064504147,0.0006543729,0.0012728539,0.00016228281,0.0002403679,0.0006551897,0.000007201783],"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":[0.0005171968,0.001029318,0.0024161155,0.002570534,0.0005385844,9.503448e-7,0.0024542725,0.00003349986,0.039601736,0.9456529,0.0050462326,0.00013867773],"study_design_scores_gemma":[0.0011189295,0.00030947756,0.006057826,0.00050604786,0.00023872624,0.00015002412,0.0010257107,0.0013363414,0.11860562,0.8702495,0.000045473847,0.00035632408],"about_ca_topic_score_codex":0.000013897112,"about_ca_topic_score_gemma":4.444894e-7,"teacher_disagreement_score":0.079003885,"about_ca_system_score_codex":0.00007541878,"about_ca_system_score_gemma":0.00004677575,"threshold_uncertainty_score":0.86384326},"labels":[],"label_agreement":null},{"id":"W2072198804","doi":"10.1017/s0305004199004211","title":"On the set of discrete two-generator groups","year":2000,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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":"Université Laval","funders":"","keywords":"Generator (circuit theory); Mathematics; Group (periodic table); Conjugacy class; Discrete group; Set (abstract data type); Generating set of a group; Combinatorics; Discrete mathematics; Pure mathematics; Computer science; Power (physics); Physics; Geometry","score_opus":0.03821798510223264,"score_gpt":0.2805763888356663,"score_spread":0.24235840373343367,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072198804","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93602026,0.000027026443,0.00012876395,0.032661118,0.000058078393,0.00055652985,0.000043712393,0.000060991515,0.030443495],"genre_scores_gemma":[0.99626124,0.00001028512,0.0016328509,0.0009456632,0.00031094006,0.000038702023,0.0000010324496,0.00004216302,0.0007571221],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975921,0.000038159258,0.0007987181,0.00034700966,0.0007993914,0.00042462154],"domain_scores_gemma":[0.9974897,0.0014456718,0.0003592269,0.00040945996,0.00016740026,0.00012857911],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010686753,0.00031492132,0.0006657034,0.000030984236,0.00022700407,0.00002809972,0.001005864,0.00020833514,0.00072230026],"category_scores_gemma":[0.0013788465,0.0001583569,0.00077594037,0.0006971104,0.0010015176,0.00007669358,0.0002513718,0.0005915281,0.000051991097],"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":[0.000031811145,0.00020114174,0.0000396665,0.00030005726,0.00011102637,2.2625866e-7,0.0003600907,0.0000016289796,0.0010797727,0.9852598,0.01248011,0.00013471517],"study_design_scores_gemma":[0.00048829726,0.00013452083,0.000095944335,0.00013713907,0.00012149641,0.000017516273,0.0001957999,0.00080555305,0.005778727,0.99188626,0.0001518954,0.00018683386],"about_ca_topic_score_codex":0.0000026545338,"about_ca_topic_score_gemma":5.4595628e-8,"teacher_disagreement_score":0.060240958,"about_ca_system_score_codex":0.000045924015,"about_ca_system_score_gemma":0.000025022196,"threshold_uncertainty_score":0.79086816},"labels":[],"label_agreement":null},{"id":"W2083496820","doi":"10.1017/s0305004108001126","title":"Character amenability of Banach algebras","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":124,"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 Windsor","funders":"","keywords":"Character (mathematics); Banach algebra; Commutative property; Mathematics; Group (periodic table); Pure mathematics; Corollary; Group algebra; Algebra over a field; Banach space; Physics","score_opus":0.06518857745024279,"score_gpt":0.30844693596463446,"score_spread":0.24325835851439168,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2083496820","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98441654,0.00002893141,0.00037364752,0.0067153703,0.00004777618,0.0008616686,0.00002805839,0.00009055345,0.0074374406],"genre_scores_gemma":[0.9835949,0.000017558443,0.015542085,0.00021700798,0.0001922223,0.000058247384,0.0000010020339,0.000063699605,0.0003132574],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99640626,0.00003501955,0.0011073373,0.0004978057,0.0014009533,0.00055260083],"domain_scores_gemma":[0.9972754,0.0007319701,0.00046299872,0.00054258836,0.00075944624,0.00022760683],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094963744,0.00035235935,0.00092489005,0.000037862414,0.0002525181,0.000017152173,0.0010844024,0.0002819999,0.0001181692],"category_scores_gemma":[0.0026267224,0.00023030902,0.00087759685,0.00063877547,0.0017709191,0.00027503842,0.0006944109,0.000815571,0.00002102543],"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":[0.00006191875,0.0010544175,0.0020811476,0.0020469879,0.00016134532,0.0000010615473,0.0008671062,4.4309834e-7,0.037046067,0.95200616,0.004611855,0.00006149886],"study_design_scores_gemma":[0.0006538559,0.00012884289,0.0027011,0.00019869588,0.00007846701,0.000057989393,0.00014582583,0.0006340315,0.0634636,0.93154836,0.000088431574,0.00030082595],"about_ca_topic_score_codex":0.000002045323,"about_ca_topic_score_gemma":4.8941757e-8,"teacher_disagreement_score":0.026417537,"about_ca_system_score_codex":0.00014681985,"about_ca_system_score_gemma":0.00008151297,"threshold_uncertainty_score":0.9391729},"labels":[],"label_agreement":null},{"id":"W2084277418","doi":"10.1017/s0305004106009613","title":"On finiteness conjectures for endomorphism algebras of abelian surfaces","year":2006,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Endomorphism; Pure mathematics; Abelian group; Arithmetic of abelian varieties; Conjecture; Bounded function; Quaternion; Isomorphism (crystallography); Dimension (graph theory); Moduli space; Field (mathematics); Abelian variety of CM-type; Rank of an abelian group; Algebra over a field; Elementary abelian group; Mathematical analysis","score_opus":0.027385285273161863,"score_gpt":0.26550111237891616,"score_spread":0.2381158271057543,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2084277418","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98029876,0.000060184975,0.0010883169,0.005299659,0.00011460981,0.001042123,0.00011192889,0.00009481417,0.011889595],"genre_scores_gemma":[0.99275017,0.0000031611178,0.006196666,0.00028646048,0.00023103844,0.00006768428,0.000003934075,0.000058572565,0.00040232908],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99750686,0.00002462368,0.0009380792,0.0003902865,0.0007071957,0.00043292815],"domain_scores_gemma":[0.99563676,0.002940294,0.00063454796,0.0003027318,0.0003883119,0.00009736234],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011698311,0.0003705607,0.0008581657,0.000046256642,0.00020978779,0.000029337176,0.00074031355,0.00031761927,0.000058474016],"category_scores_gemma":[0.0017209314,0.00024053961,0.0009406208,0.00040896123,0.00082631316,0.00009625878,0.00020100988,0.00036630168,0.000007769737],"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":[0.000120552475,0.00063737767,0.00009563303,0.0018044976,0.00012681243,1.9483846e-7,0.0001526628,0.0000069981133,0.011629844,0.9774286,0.007972417,0.00002438427],"study_design_scores_gemma":[0.0009667655,0.00018991264,0.00020029531,0.00030050677,0.00017143184,0.000010955879,0.000106869236,0.00041749218,0.06305363,0.9342674,0.00006920655,0.00024553505],"about_ca_topic_score_codex":0.0000042610163,"about_ca_topic_score_gemma":9.848517e-8,"teacher_disagreement_score":0.051423788,"about_ca_system_score_codex":0.000048406982,"about_ca_system_score_gemma":0.000031514064,"threshold_uncertainty_score":0.980892},"labels":[],"label_agreement":null},{"id":"W2091708223","doi":"10.1017/s0305004106009352","title":"All realizability is relative","year":2006,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":37,"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":"Realizability; Morphism; Object (grammar); Filter (signal processing); Mathematics; Preorder; Variety (cybernetics); Extensional definition; Subcategory; Characterization (materials science); Algebra over a field; Computer science; Pure mathematics; Discrete mathematics; Algorithm; Artificial intelligence","score_opus":0.02317474790309713,"score_gpt":0.24671238245622423,"score_spread":0.2235376345531271,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091708223","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36472973,0.0001736465,0.21109161,0.2929044,0.0005278141,0.0026570489,0.00006293448,0.0012201661,0.12663263],"genre_scores_gemma":[0.92899114,0.0000030877134,0.0689462,0.0015276078,0.00029148973,0.000034873905,0.0000010893041,0.00002500307,0.00017950861],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965537,0.00003673371,0.0009044605,0.0008497675,0.0010926038,0.00056273985],"domain_scores_gemma":[0.9977875,0.0004584133,0.0003848681,0.0007017203,0.0004946539,0.00017285308],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012893141,0.00037042165,0.0006056857,0.000027305903,0.0002290654,0.00014559845,0.0022995574,0.00028683984,0.000022118435],"category_scores_gemma":[0.0003966073,0.00025105066,0.0009117581,0.00079798675,0.0008048378,0.0005525404,0.0017757379,0.0006319719,0.000036895333],"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":[0.000005471505,0.00051957177,0.00075390295,0.00025749364,0.000048222017,4.0983394e-7,0.00040784013,0.0000051911957,0.0008407474,0.98849434,0.008502718,0.00016412493],"study_design_scores_gemma":[0.00030472095,0.00006534439,0.0047798045,0.000055880955,0.00004109956,0.00002204216,0.000017153794,0.052683946,0.0029660768,0.93834925,0.00043393238,0.00028074335],"about_ca_topic_score_codex":0.000033271946,"about_ca_topic_score_gemma":1.2345737e-7,"teacher_disagreement_score":0.5642614,"about_ca_system_score_codex":0.00022265062,"about_ca_system_score_gemma":0.00004936312,"threshold_uncertainty_score":0.99999416},"labels":[],"label_agreement":null},{"id":"W2106960179","doi":"10.1017/s0305004108001710","title":"On moduli of smoothness of<i>k</i>-monotone functions and applications","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Approximation Theory and Sequence Spaces","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 Manitoba","funders":"","keywords":"Smoothness; Moduli; Monotone polygon; Mathematics; Combinatorics; Pure mathematics; Set (abstract data type); Discrete mathematics; Mathematical analysis; Physics; Geometry; Computer science","score_opus":0.039315216985914496,"score_gpt":0.26761215282809725,"score_spread":0.22829693584218275,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2106960179","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95639527,0.00003619526,0.020145189,0.0029729842,0.000050617396,0.0010476876,0.000059799102,0.000069115435,0.019223157],"genre_scores_gemma":[0.990645,0.00001391164,0.008796404,0.00007425247,0.00011267135,0.00009287901,0.000001116714,0.00002278371,0.00024098063],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99844563,0.000016186332,0.00064451725,0.00024579014,0.00047242377,0.00017547981],"domain_scores_gemma":[0.9982837,0.0005806385,0.00050271314,0.0002494155,0.00029551372,0.00008804542],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049288524,0.00019214365,0.0005259195,0.00003257501,0.00020623936,0.0000066958028,0.0003463857,0.00016220314,0.000019591336],"category_scores_gemma":[0.00047892777,0.00012996393,0.0003368658,0.0003628215,0.001379879,0.00011496687,0.00015452738,0.0002685424,0.0000035433432],"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":[0.000032280943,0.0004562296,0.00008153627,0.0010295127,0.000065023,5.904082e-8,0.00063250394,0.0000054557645,0.004735765,0.99198526,0.00093539286,0.000040963765],"study_design_scores_gemma":[0.00032197146,0.000089893874,0.00012303678,0.00015882812,0.00008748005,0.000019878786,0.00038369035,0.0014388622,0.012472129,0.9847483,0.000026572487,0.00012933934],"about_ca_topic_score_codex":0.0000010812489,"about_ca_topic_score_gemma":1.6006833e-8,"teacher_disagreement_score":0.034249745,"about_ca_system_score_codex":0.000024779669,"about_ca_system_score_gemma":0.000025313975,"threshold_uncertainty_score":0.5299775},"labels":[],"label_agreement":null},{"id":"W2107393062","doi":"10.1017/s0305004107000400","title":"Iterated realizability as a comma construction","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Algebra and Logic","field":"Computer Science","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":"University of Ottawa","funders":"","keywords":"Realizability; Topos theory; Morphism; Iterated function; Mathematics; Interpretation (philosophy); Pure mathematics; Generalization; Object (grammar); Context (archaeology); Algebra over a field; Monad (category theory); Discrete mathematics; Computer science; Artificial intelligence; Algorithm; Programming language; Functor; Mathematical analysis","score_opus":0.022519310538970605,"score_gpt":0.2349297276500416,"score_spread":0.212410417111071,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2107393062","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9082246,0.00004294749,0.03434799,0.027918728,0.00021896225,0.00062196405,0.0000072460534,0.00039716111,0.028220415],"genre_scores_gemma":[0.96690875,0.000012620094,0.031893246,0.0009534525,0.00012745695,0.000020458565,6.8752956e-7,0.000012328309,0.00007099007],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981769,0.00001950287,0.0005008314,0.00042171424,0.0005618457,0.00031925214],"domain_scores_gemma":[0.99878144,0.00015704993,0.0002452001,0.0003512031,0.00031235444,0.00015274028],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035519604,0.00021883502,0.00038383025,0.000018091901,0.0003721148,0.000048098525,0.0011154471,0.00016723343,0.000014307644],"category_scores_gemma":[0.00037566645,0.00014281757,0.00040948213,0.0006384362,0.00094885327,0.0004122667,0.00057924615,0.00040985298,0.000029350746],"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":[0.000008965995,0.00017074757,0.0005025764,0.00012928447,0.00002470813,9.654424e-7,0.00038603295,0.0000021685817,0.0019830256,0.9955172,0.001128779,0.00014554104],"study_design_scores_gemma":[0.00036207784,0.00009070591,0.0013758125,0.000066975495,0.000016463584,0.00037665636,0.000044445515,0.009555628,0.0053213337,0.98239535,0.00018442029,0.00021015247],"about_ca_topic_score_codex":0.0000027869316,"about_ca_topic_score_gemma":1.29667965e-8,"teacher_disagreement_score":0.058684174,"about_ca_system_score_codex":0.00007324001,"about_ca_system_score_gemma":0.000045136872,"threshold_uncertainty_score":0.58239317},"labels":[],"label_agreement":null},{"id":"W2112241312","doi":"10.1017/s0305004113000157","title":"Extremal sequences of polynomial complexity","year":2013,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":8,"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; Polynomial; Combinatorics; Mathematical analysis","score_opus":0.05878327624221276,"score_gpt":0.279125477526927,"score_spread":0.22034220128471427,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2112241312","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9750656,0.00003980574,0.00017095899,0.0053184917,0.00011314004,0.0006427047,0.000025299409,0.00007158376,0.018552432],"genre_scores_gemma":[0.9778748,0.000004522087,0.021438891,0.00023415768,0.0002446542,0.000031607327,5.343179e-7,0.000033796667,0.0001370138],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976194,0.000026208547,0.00089811004,0.00031846168,0.0007470557,0.000390798],"domain_scores_gemma":[0.99809664,0.00052057643,0.0005479382,0.00031182443,0.00037341536,0.00014961249],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00064397085,0.00030362915,0.00073153386,0.000027705139,0.00026873837,0.000035776793,0.0010005019,0.0002578788,0.0002567688],"category_scores_gemma":[0.000677924,0.0001800676,0.00085818814,0.00028115223,0.002075044,0.00020468485,0.0006743244,0.0004722322,0.000009354382],"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":[0.00001733296,0.00021318535,0.00041430665,0.00094682275,0.00009529481,9.799767e-8,0.00069292646,2.2057789e-7,0.018349128,0.9714057,0.007788223,0.00007678547],"study_design_scores_gemma":[0.00032537602,0.000067133675,0.0011408275,0.00016502773,0.00009254514,0.000019521762,0.0002910692,0.0006155099,0.018343745,0.9787105,0.000024751804,0.0002040089],"about_ca_topic_score_codex":0.000009573535,"about_ca_topic_score_gemma":6.281914e-8,"teacher_disagreement_score":0.021267932,"about_ca_system_score_codex":0.0000463833,"about_ca_system_score_gemma":0.000026045574,"threshold_uncertainty_score":0.7645586},"labels":[],"label_agreement":null},{"id":"W2113546599","doi":"10.1017/s0305004104008199","title":"Norms of cyclotomic Littlewood polynomials","year":2005,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":6,"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; Simon Fraser University","funders":"","keywords":"Combinatorics; Norm (philosophy); Physics; Mathematics; Philosophy","score_opus":0.04327435892471714,"score_gpt":0.3113435671833488,"score_spread":0.2680692082586317,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2113546599","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92557204,0.000050217517,0.00043753663,0.019940296,0.00004511575,0.00089306507,0.00003791319,0.00010759301,0.05291625],"genre_scores_gemma":[0.98562574,0.000011761017,0.012264628,0.00024266442,0.0004516107,0.000033692904,6.824176e-7,0.0000698136,0.0012994176],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965572,0.000031878542,0.0012398417,0.00040613586,0.0011956937,0.0005692557],"domain_scores_gemma":[0.9973078,0.0009564961,0.0005985375,0.00047573523,0.00043227483,0.00022918337],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019812896,0.0003452074,0.0009617021,0.000049121547,0.0001479749,0.00003565884,0.0013186593,0.00030635792,0.00018796502],"category_scores_gemma":[0.0019032722,0.00022135548,0.0010772451,0.000519201,0.0011166563,0.00020858935,0.00072193984,0.00066128414,0.000063678526],"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":[0.000058018697,0.0007115116,0.00030568364,0.0012998476,0.00022742989,2.0446335e-7,0.0005240484,0.0000010010842,0.022062885,0.9660399,0.0085943835,0.00017509134],"study_design_scores_gemma":[0.0007194078,0.000077084034,0.0001647609,0.00029767587,0.00018496084,0.000030643503,0.00021451879,0.002071759,0.05637705,0.939381,0.0002157214,0.0002654404],"about_ca_topic_score_codex":0.0000030220588,"about_ca_topic_score_gemma":1.3451697e-7,"teacher_disagreement_score":0.060053717,"about_ca_system_score_codex":0.00016640175,"about_ca_system_score_gemma":0.000069989925,"threshold_uncertainty_score":0.9026615},"labels":[],"label_agreement":null},{"id":"W2114443964","doi":"10.1017/s0305004109990375","title":"Sets of zero discrete harmonic density","year":2009,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","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; University of British Columbia","funders":"","keywords":"Dual polyhedron; Zero (linguistics); Mathematics; Abelian group; Group (periodic table); Harmonic; Discrete group; Open set; Combinatorics; Set (abstract data type); Discrete mathematics; Pure mathematics; Physics; Quantum mechanics; Computer science","score_opus":0.0332437309083349,"score_gpt":0.30054354223552726,"score_spread":0.2672998113271924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2114443964","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9666652,0.000055923843,0.0038550305,0.013329962,0.00006983959,0.00055228535,0.00002253632,0.00011891087,0.015330303],"genre_scores_gemma":[0.98612326,0.000011779861,0.012985406,0.0005603548,0.000081025864,0.000007855936,0.0000011191868,0.000026561365,0.00020264044],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99792093,0.000026341137,0.00077655556,0.000338731,0.0005343356,0.0004030794],"domain_scores_gemma":[0.99814296,0.00062795676,0.00049983925,0.0003369438,0.00025483355,0.00013746937],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00082944724,0.00029852832,0.00076800864,0.00002358976,0.00018627854,0.0000124131275,0.00071360247,0.00031393382,0.000025805452],"category_scores_gemma":[0.0013073595,0.00019611405,0.00076865306,0.00028894332,0.0009451684,0.00015762312,0.00026267147,0.0006057439,0.0000085851225],"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":[0.000061014023,0.00034007337,0.00011939658,0.00051865436,0.000080888814,5.220034e-7,0.00036277843,5.376011e-7,0.010397752,0.98619753,0.0017936656,0.00012721345],"study_design_scores_gemma":[0.00042520807,0.00012373681,0.000658983,0.00021700966,0.00014709927,0.000030567215,0.00008917383,0.00038471876,0.03123286,0.96647656,0.000017129993,0.00019694214],"about_ca_topic_score_codex":4.4083987e-7,"about_ca_topic_score_gemma":2.4295131e-8,"teacher_disagreement_score":0.020835107,"about_ca_system_score_codex":0.000057638586,"about_ca_system_score_gemma":0.000025677477,"threshold_uncertainty_score":0.7997299},"labels":[],"label_agreement":null},{"id":"W2119417700","doi":"10.1017/s0305004110000216","title":"On the volume of caps and bounding the mean-width of an isotropic convex body","year":2010,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Point processes and geometric inequalities","field":"Mathematics","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 Alberta","funders":"","keywords":"Hyperplane; Converse; Convex body; Isotropy; Mathematics; Bounding overwatch; Regular polygon; Mixed volume; Quasiconvex function; Combinatorics; Upper and lower bounds; Gaussian; Mathematical analysis; Volume (thermodynamics); Position (finance); Pure mathematics; Geometry; Physics; Convex set; Convex hull; Convex optimization; Computer science; Thermodynamics; Quantum mechanics","score_opus":0.03134460925255904,"score_gpt":0.2745601746904012,"score_spread":0.24321556543784217,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2119417700","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9810551,0.000033638873,0.00020065485,0.013060808,0.00008837925,0.0005358041,0.000035786405,0.00003226783,0.004957574],"genre_scores_gemma":[0.99742174,0.000012620275,0.0017452992,0.00037249,0.00018156854,0.00002666538,6.6833536e-7,0.00003421473,0.00020474292],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976083,0.0000341035,0.0008545817,0.00028411928,0.0008747946,0.0003441135],"domain_scores_gemma":[0.99631786,0.0019995915,0.00069910736,0.00044036398,0.0004391911,0.0001038564],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021003473,0.00028016174,0.00066607475,0.00004061421,0.00030195824,0.00006174996,0.00096516084,0.00022155447,0.00006735911],"category_scores_gemma":[0.0038917328,0.00013047828,0.0004080147,0.0004945908,0.0015576393,0.0001613381,0.00037852957,0.00081631675,0.0000029616851],"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":[0.000024364606,0.00027725977,0.00013243192,0.0014379872,0.00009641791,1.0138122e-7,0.0016924585,1.888184e-7,0.007470345,0.9875992,0.001223948,0.000045301447],"study_design_scores_gemma":[0.00032510882,0.00021187957,0.00037270391,0.00020542934,0.00015819285,0.000017711407,0.0012291977,0.0025323054,0.013791951,0.9809272,0.00006676229,0.00016153508],"about_ca_topic_score_codex":0.000011127144,"about_ca_topic_score_gemma":4.9020525e-7,"teacher_disagreement_score":0.016366644,"about_ca_system_score_codex":0.000023303191,"about_ca_system_score_gemma":0.000041264462,"threshold_uncertainty_score":0.5739187},"labels":[],"label_agreement":null},{"id":"W2120368659","doi":"10.1017/s0305004108001266","title":"Homotopy limits for 2-categories","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Homotopy; Mathematics; Injective function; Cofibration; Limit (mathematics); Homotopy category; Model category; Pure mathematics; Diagram; Homotopy lifting property; n-connected; Mathematical analysis; Statistics","score_opus":0.06503537273793708,"score_gpt":0.29656045045024215,"score_spread":0.23152507771230507,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2120368659","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.940554,0.000067887035,0.0029340757,0.03212808,0.0002656032,0.0015030343,0.00003656768,0.00024422538,0.022266494],"genre_scores_gemma":[0.97667783,0.000020359634,0.020491427,0.0007496185,0.00044345733,0.00022365437,0.0000015726758,0.000057507626,0.0013345595],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99778086,0.000019692588,0.0007654655,0.00042374377,0.00045991066,0.00055035704],"domain_scores_gemma":[0.997731,0.0010655381,0.00036293422,0.00031803027,0.00036982796,0.0001526997],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066619494,0.00033510593,0.0007598065,0.000027963402,0.0005220386,0.000017660823,0.0008835107,0.0004485649,0.000049624134],"category_scores_gemma":[0.001807114,0.00022457672,0.0009297306,0.00030312248,0.0017661414,0.00013159418,0.00025540756,0.00050650485,0.000018754776],"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":[0.00004423275,0.00038212622,0.00029456604,0.0006403901,0.00013646903,8.452167e-7,0.00067080033,9.639905e-8,0.0024776545,0.97881055,0.016498994,0.000043296357],"study_design_scores_gemma":[0.0006720906,0.00016847174,0.00022311368,0.000064097636,0.00013476577,0.00022128882,0.0001398525,0.00024309703,0.016184913,0.9811741,0.0005193017,0.0002549124],"about_ca_topic_score_codex":9.949644e-7,"about_ca_topic_score_gemma":7.7156876e-8,"teacher_disagreement_score":0.036123812,"about_ca_system_score_codex":0.000060588838,"about_ca_system_score_gemma":0.000060765487,"threshold_uncertainty_score":0.9157973},"labels":[],"label_agreement":null},{"id":"W2120555590","doi":"10.1017/s0305004110000241","title":"The spiral index of knots","year":2010,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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 Toronto","funders":"","keywords":"Mathematics; Torsion (gastropod); Braid; Knot (papermaking); Curvature; Pure mathematics; Invariant (physics); Trefoil knot; Geometry; Combinatorics; Knot theory; Mathematical physics","score_opus":0.024703256064035277,"score_gpt":0.2746331130047573,"score_spread":0.249929856940722,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2120555590","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9592432,0.000031459476,0.00026440588,0.018843755,0.00025359736,0.00048984156,0.0000104646615,0.00006467957,0.020798618],"genre_scores_gemma":[0.9958492,0.000006800912,0.0030735137,0.00020117046,0.0003099888,0.000023919183,2.4982089e-7,0.000033686098,0.0005015085],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976614,0.000014741773,0.0008478797,0.00027797956,0.0007492575,0.00044870982],"domain_scores_gemma":[0.9972253,0.0013252029,0.0005594513,0.00039353684,0.00036076218,0.000135788],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013135335,0.00025586193,0.0005637062,0.000032202483,0.00029509712,0.000033558532,0.001200851,0.00034066525,0.000057886835],"category_scores_gemma":[0.0035773339,0.00013241424,0.00071946735,0.00062695175,0.0017302945,0.00008633487,0.0005721602,0.0010067882,0.000012466442],"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":[0.000017174792,0.0002434683,0.00091682863,0.00035638426,0.000082715254,1.2752291e-7,0.00016940797,8.362103e-8,0.006137199,0.98648566,0.005292066,0.00029889832],"study_design_scores_gemma":[0.00039944687,0.00006658077,0.0018117928,0.00005404416,0.00008420454,0.000027308688,0.00018511615,0.0004679065,0.0062647085,0.98998994,0.00049202057,0.00015691537],"about_ca_topic_score_codex":0.000003085504,"about_ca_topic_score_gemma":3.1979684e-7,"teacher_disagreement_score":0.036605984,"about_ca_system_score_codex":0.000023118813,"about_ca_system_score_gemma":0.00004370535,"threshold_uncertainty_score":0.63753426},"labels":[],"label_agreement":null},{"id":"W2124236911","doi":"10.1017/s0305004113000285","title":"Cubulating one-relator groups with torsion","year":2013,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","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":"McGill University","funders":"","keywords":"Codimension; Torsion (gastropod); Mathematics; Covering space; Linear subspace; Pure mathematics; Combinatorics; Generalization; Mathematical analysis","score_opus":0.030681823506412905,"score_gpt":0.24407766774034367,"score_spread":0.21339584423393076,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2124236911","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9672477,0.00002470549,0.0010359568,0.012773336,0.00005913816,0.0008617355,0.000004004883,0.00015154398,0.017841853],"genre_scores_gemma":[0.9705723,0.0000028739746,0.028175317,0.00040849653,0.00026594513,0.00007160416,6.617463e-7,0.000055205048,0.0004475949],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99753195,0.00001654828,0.0007123154,0.00040486007,0.0008144839,0.00051987],"domain_scores_gemma":[0.9981508,0.00054203765,0.00045374158,0.00028779107,0.00035364807,0.00021197622],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005474125,0.0003272275,0.0006632684,0.00004368984,0.00025901655,0.000060638606,0.000643305,0.0003029563,0.00025426666],"category_scores_gemma":[0.0009977508,0.00018962471,0.00044646335,0.00069246,0.00062191795,0.00025231333,0.0004315055,0.00063490734,0.00007944887],"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":[0.0000116314895,0.00038702047,0.00085795997,0.0006752879,0.00012189135,2.0302261e-7,0.0003141174,3.499888e-7,0.0031115636,0.98925054,0.0051691066,0.00010035075],"study_design_scores_gemma":[0.0006148175,0.00016457161,0.0019492469,0.0002976168,0.00014913229,0.000037343365,0.0003830248,0.0012003947,0.0026492318,0.9922247,0.000036805635,0.0002931276],"about_ca_topic_score_codex":0.000006905826,"about_ca_topic_score_gemma":5.365463e-8,"teacher_disagreement_score":0.02713936,"about_ca_system_score_codex":0.00008460396,"about_ca_system_score_gemma":0.000025345887,"threshold_uncertainty_score":0.77326715},"labels":[],"label_agreement":null},{"id":"W2129840940","doi":"10.1017/s0305004100004412","title":"Some formulas for the Bernoulli and Euler polynomials at rational arguments","year":2000,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":202,"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 Victoria","funders":"","keywords":"Euler's formula; Bernoulli's principle; Bernoulli polynomials; Mathematics; Pure mathematics; Algebra over a field; Applied mathematics; Mathematical analysis; Orthogonal polynomials; Difference polynomials; Physics; Thermodynamics","score_opus":0.04154337426295546,"score_gpt":0.29364620342729525,"score_spread":0.2521028291643398,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2129840940","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92666006,0.0005571206,0.0015908489,0.054922447,0.00023386771,0.004215055,0.00019949077,0.00024230134,0.011378784],"genre_scores_gemma":[0.9411225,0.00025959912,0.03391027,0.0016479115,0.0015734851,0.0007623087,0.000006127928,0.0001966101,0.020521235],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973463,0.000014309649,0.0009042773,0.00041815985,0.0008023282,0.00051463256],"domain_scores_gemma":[0.9961137,0.0028500864,0.00034369505,0.0003220441,0.00020641866,0.00016403393],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008922034,0.00037838714,0.00065480545,0.000019279041,0.00067755335,0.00010417974,0.000684046,0.00022489922,0.00022250447],"category_scores_gemma":[0.001400773,0.00021434152,0.0006575694,0.00016404752,0.0009746519,0.0003875994,0.00044558407,0.0003345651,0.00003403218],"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":[0.000071002294,0.00024437087,0.000027400194,0.0010446046,0.00019157461,1.11403786e-7,0.00039238922,0.00000221739,0.001726931,0.9808463,0.015335543,0.00011758713],"study_design_scores_gemma":[0.0009736752,0.000060436058,0.00010087807,0.00017883297,0.0002670175,0.000029711679,0.00010797553,0.003103502,0.0045567323,0.9893447,0.0010184145,0.00025809638],"about_ca_topic_score_codex":0.0000011318913,"about_ca_topic_score_gemma":1.615366e-7,"teacher_disagreement_score":0.05327454,"about_ca_system_score_codex":0.00014217531,"about_ca_system_score_gemma":0.000023640172,"threshold_uncertainty_score":0.8740594},"labels":[],"label_agreement":null},{"id":"W2131083242","doi":"10.1017/s0305004103007448","title":"A Kolmogorov-type inequality","year":2004,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":6,"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":"Type (biology); Inequality; Mathematics; Mathematical analysis; Biology","score_opus":0.02496696355232967,"score_gpt":0.25068587610255527,"score_spread":0.2257189125502256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2131083242","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16821787,0.0000552044,0.50163215,0.28818092,0.0003123581,0.00079896086,0.000014109722,0.00050826,0.040280167],"genre_scores_gemma":[0.92844063,0.0000063211037,0.06996756,0.0013691762,0.00010322146,0.00000795401,8.918447e-7,0.0000095402,0.000094720264],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983397,0.000010670242,0.000459327,0.00031514643,0.000652594,0.00022253515],"domain_scores_gemma":[0.9988931,0.00008005641,0.00022228176,0.00025337277,0.00042857332,0.00012261927],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057860836,0.0001612003,0.00029388518,0.000023010929,0.00018026534,0.00009665793,0.0011112407,0.00011909957,0.000017515662],"category_scores_gemma":[0.00038982485,0.00010474294,0.0004289958,0.001006611,0.00016924147,0.00033912188,0.00052711,0.00024358345,0.000037123835],"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":[0.0000031658108,0.00020521658,0.00011973224,0.00008267424,0.000047415648,7.546599e-8,0.00021643334,0.00014665099,0.0010148693,0.9977597,0.0003732508,0.000030786483],"study_design_scores_gemma":[0.00042500242,0.00004657026,0.0010810726,0.000058633144,0.00004300951,0.000009975612,0.000025265608,0.040211238,0.0024806987,0.95536274,0.00007311272,0.00018265597],"about_ca_topic_score_codex":0.0000039445413,"about_ca_topic_score_gemma":4.9171636e-8,"teacher_disagreement_score":0.76022273,"about_ca_system_score_codex":0.00008778851,"about_ca_system_score_gemma":0.000057784284,"threshold_uncertainty_score":0.4271293},"labels":[],"label_agreement":null},{"id":"W2134263607","doi":"10.1017/s0305004109990120","title":"On the zero set of <i>G</i>-equivariant maps","year":2009,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Nonlinear Differential Equations Analysis","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":"Ontario Tech University","funders":"","keywords":"Equivariant map; Zero (linguistics); Subspace topology; Isotropy; Manifold (fluid mechanics); Dimension (graph theory); Zero set; Vector field","score_opus":0.05430570551410275,"score_gpt":0.29415803805132096,"score_spread":0.23985233253721822,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2134263607","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83316207,0.000028957984,0.0068922676,0.11858644,0.00009625367,0.0014355319,0.00014357571,0.00015203391,0.03950288],"genre_scores_gemma":[0.99275345,0.000005785825,0.0059527983,0.0008528106,0.00017385109,0.000016794715,0.0000025385893,0.000030905394,0.00021109819],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99734885,0.000036083853,0.0009114758,0.0003182332,0.0010459297,0.00033941006],"domain_scores_gemma":[0.9973239,0.0011091848,0.00059812446,0.00050225225,0.00035960152,0.00010694862],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011786921,0.00030180564,0.00067562814,0.000037534082,0.00020843305,0.00004689862,0.0010091692,0.00020059664,0.00008370022],"category_scores_gemma":[0.0021314162,0.00015688958,0.0010607357,0.00064628024,0.0004594387,0.0000878819,0.00023119629,0.00053961074,0.000018629975],"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":[0.000023362603,0.00044872146,0.000010157554,0.00022213551,0.0001478424,1.4674288e-7,0.00026283486,0.0000020446794,0.0075269737,0.98065054,0.010623692,0.000081522245],"study_design_scores_gemma":[0.00029721102,0.0001275459,0.0000950847,0.00023696989,0.00029532533,0.000005585836,0.000104966086,0.0029536057,0.008299376,0.9873775,0.000039975337,0.00016682499],"about_ca_topic_score_codex":0.0000016497843,"about_ca_topic_score_gemma":5.0207763e-8,"teacher_disagreement_score":0.15959136,"about_ca_system_score_codex":0.00006419299,"about_ca_system_score_gemma":0.000031112857,"threshold_uncertainty_score":0.6397771},"labels":[],"label_agreement":null},{"id":"W2135291001","doi":"10.1017/s0305004106009649","title":"Pseudo-amenable and pseudo-contractible Banach algebras","year":2007,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":100,"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 Manitoba","funders":"","keywords":"Contractible space; Mathematics; Pure mathematics; Approximation property; Banach space","score_opus":0.03592330269018929,"score_gpt":0.3126572421679263,"score_spread":0.276733939477737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2135291001","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95934767,0.000095156356,0.0022443985,0.011064852,0.000078844074,0.0011556934,0.000014649333,0.00018648742,0.02581224],"genre_scores_gemma":[0.95292884,0.000028177388,0.045241516,0.0005509736,0.0003441496,0.000040811083,8.046906e-7,0.00010051996,0.0007642107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960934,0.000022147811,0.0009943027,0.00062794273,0.0012886008,0.0009736099],"domain_scores_gemma":[0.99698,0.0013091735,0.00036286612,0.00041808042,0.00049551786,0.0004343522],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0028448405,0.0004459156,0.00080805214,0.000062212,0.0004252652,0.00011523852,0.00084861735,0.0003818323,0.00007779006],"category_scores_gemma":[0.0023638913,0.00030576315,0.00048297332,0.00070232974,0.00097131496,0.00044134152,0.00075720303,0.0011289564,0.000026890733],"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":[0.000068837304,0.00043750144,0.0005243944,0.0011439696,0.00013878122,0.0000025340532,0.00036870508,3.2425092e-7,0.03300582,0.9592767,0.004811305,0.00022116631],"study_design_scores_gemma":[0.00092002045,0.0001237888,0.0005008292,0.00022312692,0.00012149255,0.00011140137,0.0005251707,0.0013401969,0.03594465,0.9595973,0.00019701463,0.0003950012],"about_ca_topic_score_codex":0.0000042430243,"about_ca_topic_score_gemma":3.9130623e-7,"teacher_disagreement_score":0.042997118,"about_ca_system_score_codex":0.00019240446,"about_ca_system_score_gemma":0.000055565502,"threshold_uncertainty_score":0.99993944},"labels":[],"label_agreement":null},{"id":"W2136067124","doi":"10.1017/s0305004112000485","title":"The primitive ideal space of the C*-algebra of the affine semigroup of algebraic integers","year":2012,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","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 Victoria","funders":"","keywords":"Ideal (ethics); Semigroup; Prime ideal; Affine transformation; Action (physics); Maximal ideal; Algebraic number; Space (punctuation); Affine plane (incidence geometry)","score_opus":0.031600695739858,"score_gpt":0.29576694269651366,"score_spread":0.26416624695665564,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2136067124","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9700214,0.0002460855,0.00022896548,0.020377368,0.00017405079,0.0018018034,0.000057703015,0.00003912443,0.0070534945],"genre_scores_gemma":[0.99653697,0.000030444184,0.0025884712,0.00015597221,0.0002165849,0.00006159876,4.2217508e-7,0.000078606965,0.00033090005],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9952836,0.00013213666,0.0014179052,0.0003509772,0.002036281,0.000779077],"domain_scores_gemma":[0.99394584,0.0027230806,0.0013197435,0.00093231205,0.00089480286,0.00018423678],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0027632308,0.00044337448,0.0009699144,0.000029791647,0.00040676858,0.000028975233,0.002638807,0.00032472005,0.000033249784],"category_scores_gemma":[0.007006868,0.00019174906,0.0014041206,0.0011136943,0.0036005513,0.00025183498,0.0020826838,0.0012862629,0.0000043345144],"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":[0.00006734764,0.0005383739,0.0010124794,0.0014851518,0.0002656272,4.657593e-8,0.002434582,0.0000016865075,0.053061154,0.93879,0.0022674152,0.00007610085],"study_design_scores_gemma":[0.0007393831,0.00012401515,0.0031531702,0.00094351784,0.00030756393,0.000021748438,0.0021276833,0.0005307487,0.24871558,0.74291587,0.00013179865,0.0002889495],"about_ca_topic_score_codex":0.000006701804,"about_ca_topic_score_gemma":6.2030637e-7,"teacher_disagreement_score":0.19587418,"about_ca_system_score_codex":0.00018578961,"about_ca_system_score_gemma":0.00013163903,"threshold_uncertainty_score":0.99911106},"labels":[],"label_agreement":null},{"id":"W2142448673","doi":"10.1017/s0305004112000370","title":"A quadratic large sieve inequality over number fields","year":2012,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","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":"University of Toronto","funders":"","keywords":"Mathematics; Quadratic equation; Sieve (category theory); Inequality; Poisson distribution; Pure mathematics; Number theory; Field (mathematics); Order (exchange); Poisson summation formula; Combinatorics; Mathematical analysis; Statistics; Geometry; Fourier transform","score_opus":0.08116446908330224,"score_gpt":0.36116728048927593,"score_spread":0.2800028114059737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142448673","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8998264,0.00009500726,0.005386549,0.017957032,0.00044523898,0.0028546196,0.0003058618,0.00036752035,0.07276175],"genre_scores_gemma":[0.989368,0.000015111941,0.0067367484,0.0006977465,0.0011578058,0.00019388366,0.000009365591,0.00016906162,0.0016522321],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99326545,0.0001463508,0.0018979483,0.00093900604,0.002415212,0.0013360548],"domain_scores_gemma":[0.99460673,0.0017539712,0.0011961109,0.0012088305,0.0007118409,0.00052251224],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["research_integrity"],"category_scores_codex":[0.00512147,0.00091611664,0.0019455776,0.000043429915,0.00026980817,0.00017054574,0.00238223,0.0015855493,0.0009953332],"category_scores_gemma":[0.0038546643,0.00062640687,0.0024317086,0.0005110485,0.00093264284,0.00023178806,0.0058681914,0.003995044,0.00017751376],"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":[0.00005431632,0.0014586311,0.0019041453,0.009158764,0.00064007443,0.0000010674885,0.001470708,5.336601e-7,0.00019115984,0.9580489,0.02705372,0.000018000183],"study_design_scores_gemma":[0.000650406,0.00002764423,0.00036302814,0.0010049115,0.0006397515,0.000025634901,0.0002676,0.0029543545,0.0006634169,0.99257773,0.0001478169,0.0006777259],"about_ca_topic_score_codex":0.000013171252,"about_ca_topic_score_gemma":5.693044e-7,"teacher_disagreement_score":0.08954163,"about_ca_system_score_codex":0.00038773697,"about_ca_system_score_gemma":0.00017410437,"threshold_uncertainty_score":0.99991786},"labels":[],"label_agreement":null},{"id":"W2143449594","doi":"10.1017/s0305004113000108","title":"On the Bourbaki–Witt principle in toposes","year":2013,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","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":"Dalhousie University","funders":"","keywords":"Topos theory; Mathematics; Transfinite number; Pure mathematics; Fixed point; Point (geometry); Least fixed point; Partially ordered set; Set (abstract data type); Discrete mathematics; Algebra over a field; Fixed-point theorem; Computer science; Mathematical analysis; Geometry; Brouwer fixed-point theorem","score_opus":0.03430989824914111,"score_gpt":0.29103649351749067,"score_spread":0.25672659526834957,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2143449594","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91976726,0.000020560035,0.00022127367,0.039044186,0.00006843765,0.0010318427,0.000005886162,0.00007961098,0.03976092],"genre_scores_gemma":[0.99448913,0.000005492825,0.0025255966,0.0018356264,0.00013040574,0.00015014484,4.2472578e-7,0.000038535978,0.00082463154],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99802476,0.000042439136,0.0006426348,0.00033371316,0.00049285416,0.00046357905],"domain_scores_gemma":[0.9970714,0.002031499,0.00027708014,0.0003640357,0.00015560817,0.000100390054],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010105907,0.00028887804,0.00049337803,0.000025307309,0.00024186504,0.000038037102,0.00089218805,0.00026030364,0.00023891823],"category_scores_gemma":[0.0023947128,0.00014758113,0.00044281041,0.00032513525,0.0009114816,0.00016021404,0.0003933888,0.00088013645,0.00010166556],"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":[0.000018636383,0.00035273863,0.00016152604,0.00025170858,0.000039254017,3.037099e-7,0.00038170553,0.0000012734581,0.00086355075,0.9930989,0.004795701,0.00003470484],"study_design_scores_gemma":[0.00031484503,0.00006641607,0.00046559906,0.00021777369,0.000029007337,0.000011929966,0.00030082144,0.000728938,0.0030093044,0.99459225,0.000086300555,0.0001768268],"about_ca_topic_score_codex":0.0000021791993,"about_ca_topic_score_gemma":1.415729e-7,"teacher_disagreement_score":0.07472186,"about_ca_system_score_codex":0.000089022855,"about_ca_system_score_gemma":0.00002200052,"threshold_uncertainty_score":0.6018184},"labels":[],"label_agreement":null},{"id":"W2143886071","doi":"10.1017/s0305004102006126","title":"Quillen model structures for relative homological algebra","year":2002,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":97,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Homological algebra; Abelian category; Mathematics; Model category; Derived category; Homotopy category; Pure mathematics; Homology (biology); Hochschild homology; Closed category; Projective module; Functor; Algebra over a field; Category theory; Class (philosophy); Abelian group; Homotopy; Projective test; Cohomology; Computer science","score_opus":0.07012346573905434,"score_gpt":0.29486375467073217,"score_spread":0.22474028893167783,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2143886071","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82701594,0.00022488674,0.022556828,0.081118144,0.0002800315,0.002966604,0.00012964835,0.0004494493,0.06525846],"genre_scores_gemma":[0.947249,0.000014629321,0.050087158,0.0010232814,0.00026685084,0.00017127204,0.0000013396786,0.000056116492,0.0011303789],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974541,0.00003207454,0.0008476175,0.00054989674,0.0004990545,0.00061727705],"domain_scores_gemma":[0.9975413,0.0012275001,0.00042600068,0.00034126613,0.00028881,0.0001750978],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00066595705,0.00040528667,0.00084612705,0.00003134392,0.00036902894,0.000029672154,0.0009985656,0.0006989272,0.00019307033],"category_scores_gemma":[0.002200475,0.00025677908,0.0010369171,0.0002539759,0.001502228,0.00016920727,0.00043723607,0.00078041194,0.000018762967],"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":[0.000031082087,0.0003488016,0.000028288041,0.00035743366,0.00020746246,4.8474385e-7,0.0007221191,0.0000027225926,0.0011361357,0.97975475,0.01732336,0.00008738657],"study_design_scores_gemma":[0.00070353335,0.00017669707,0.0000370417,0.000051599985,0.00022909595,0.000069929,0.00010594116,0.025809951,0.0017063223,0.9707281,0.00009142055,0.00029035803],"about_ca_topic_score_codex":4.5548327e-7,"about_ca_topic_score_gemma":4.9555876e-8,"teacher_disagreement_score":0.12023302,"about_ca_system_score_codex":0.00008675738,"about_ca_system_score_gemma":0.000019791269,"threshold_uncertainty_score":0.99998844},"labels":[],"label_agreement":null},{"id":"W2145221255","doi":"10.1017/s0305004102005960","title":"Weak amenability of certain classes of Banach algebras without bounded approximate identities","year":2002,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":52,"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; University of Manitoba","funders":"","keywords":"Mathematics; Subalgebra; Locally compact space; Banach algebra; Abelian group; Locally compact group; Pure mathematics; Bounded function; Group algebra; Compact group; Class (philosophy); Commutative property; Algebra over a field; Banach space; Mathematical analysis; Lie group; Computer science","score_opus":0.06224934793072128,"score_gpt":0.3127588548227281,"score_spread":0.2505095068920068,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2145221255","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.978526,0.00011069024,0.0009891535,0.004120001,0.000048931364,0.0012358733,0.00005347111,0.000101726975,0.014814151],"genre_scores_gemma":[0.9787997,0.000034630517,0.020182677,0.000064992426,0.00010024158,0.00007360425,0.0000010175378,0.00007734384,0.00066576956],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9955274,0.000062334366,0.0015633072,0.00053678034,0.0016927181,0.00061746576],"domain_scores_gemma":[0.9965139,0.0009074287,0.00081560685,0.00062449265,0.00093702914,0.00020151677],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012682398,0.00043068075,0.0013126545,0.00006506183,0.00019436855,0.00005307723,0.0012446014,0.0003171846,0.00019637668],"category_scores_gemma":[0.0034254307,0.00029903356,0.0009043359,0.0007329631,0.0023333908,0.00037497203,0.00075153407,0.00072827423,0.000008956529],"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":[0.00005036296,0.0012078844,0.0014184767,0.006790859,0.00024493557,2.6635388e-7,0.0009471871,0.0000014451754,0.0234483,0.9632825,0.0025433789,0.00006436879],"study_design_scores_gemma":[0.00072910206,0.00015975218,0.00020252737,0.00039713044,0.00015501244,0.000015307058,0.0008312456,0.005570969,0.053261064,0.9383675,0.000023205475,0.00028721153],"about_ca_topic_score_codex":0.000004579319,"about_ca_topic_score_gemma":2.8107115e-7,"teacher_disagreement_score":0.029812763,"about_ca_system_score_codex":0.00017469548,"about_ca_system_score_gemma":0.00004715582,"threshold_uncertainty_score":0.9999462},"labels":[],"label_agreement":null},{"id":"W2150647155","doi":"10.1017/s0305004112000631","title":"Average Frobenius distribution for the degree two primes of a number field","year":2013,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","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":"Université de Montréal","funders":"","keywords":"Conjecture; Prime number; Algebraic number field; TRACE (psycholinguistics); Degree (music); Distribution (mathematics); Prime (order theory); Field (mathematics); Elliptic curve","score_opus":0.04589278166337289,"score_gpt":0.2858429814194287,"score_spread":0.2399501997560558,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2150647155","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9068171,0.000071495066,0.04265816,0.03096058,0.00019546779,0.0030315153,0.00010721871,0.00012890987,0.016029576],"genre_scores_gemma":[0.9928621,0.000006490118,0.005805642,0.00037957198,0.00026520816,0.00018659538,0.0000029542339,0.000035084522,0.00045632865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99799395,0.000020765736,0.0007619361,0.00028496084,0.00055234943,0.000386031],"domain_scores_gemma":[0.9953575,0.0032383243,0.0004826497,0.00035133603,0.0004660049,0.00010417378],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010406054,0.00027929334,0.0005632444,0.000009972516,0.00026355791,0.000047046397,0.0008421573,0.00022635575,0.00024764234],"category_scores_gemma":[0.002636374,0.00015234677,0.0009022293,0.00031239193,0.00050723186,0.00018031198,0.00037799805,0.00043559656,0.000027825101],"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":[0.00004348779,0.00031010987,0.00027609695,0.001026493,0.00020265706,4.714064e-8,0.00030915265,7.07588e-7,0.0018476581,0.9723182,0.023324525,0.00034088336],"study_design_scores_gemma":[0.00064154336,0.00006668007,0.0004291598,0.0001739415,0.00019361074,0.000016072421,0.00019802232,0.0019716374,0.024868682,0.971133,0.00012383462,0.00018384849],"about_ca_topic_score_codex":0.00001038344,"about_ca_topic_score_gemma":6.9035856e-8,"teacher_disagreement_score":0.08604505,"about_ca_system_score_codex":0.000051105406,"about_ca_system_score_gemma":0.000028713692,"threshold_uncertainty_score":0.62125206},"labels":[],"label_agreement":null},{"id":"W2151865043","doi":"10.1017/s0305004104007777","title":"Anick's conjecture for spaces with decomposable Postnikov invariants","year":2004,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","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","funders":"","keywords":"Mathematics; Conjecture; Homotopy; Pure mathematics; Cohomology; Space (punctuation); Homotopy group; Algebra over a field; Computer science","score_opus":0.027961764826403033,"score_gpt":0.2782588178393415,"score_spread":0.2502970530129384,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2151865043","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9130752,0.00004359915,0.005916442,0.07001691,0.00012308948,0.0016589767,0.00004502597,0.0001757703,0.0089449985],"genre_scores_gemma":[0.94879615,0.0000045017186,0.04959697,0.0009943219,0.00023255372,0.00011824758,0.0000019822132,0.000058894708,0.00019635813],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997963,0.00001571988,0.0005789123,0.00045680034,0.00042601064,0.00055957504],"domain_scores_gemma":[0.99826676,0.0006217875,0.00038471963,0.00029712796,0.00026693547,0.00016266035],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00064269674,0.0003639265,0.00075154647,0.000025721198,0.00032054284,0.000051431383,0.0007828968,0.00043473998,0.00004004609],"category_scores_gemma":[0.0007389764,0.00021737764,0.0004930432,0.0002964349,0.0010299681,0.00014779952,0.0002557861,0.0005420776,0.000010895125],"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":[0.000103830316,0.00043261587,0.00012363173,0.000746642,0.00021694567,0.0000013051877,0.0005028833,0.000002474253,0.0024769756,0.99347144,0.0019029421,0.000018323066],"study_design_scores_gemma":[0.0018128342,0.00045617222,0.00007766006,0.00023917778,0.00022489023,0.00023304483,0.00024473944,0.00012022133,0.014205801,0.98197764,0.00012594691,0.00028185768],"about_ca_topic_score_codex":0.000003606963,"about_ca_topic_score_gemma":8.196381e-7,"teacher_disagreement_score":0.06902259,"about_ca_system_score_codex":0.000101137855,"about_ca_system_score_gemma":0.00010201042,"threshold_uncertainty_score":0.88644034},"labels":[],"label_agreement":null},{"id":"W2152963358","doi":"10.1017/s0305004111000557","title":"Ordered groups, eigenvalues, knots, surgery and L-spaces","year":2011,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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; University of British Columbia; Université du Québec à Montréal","funders":"","keywords":"Knot (papermaking); Fibered knot; Mathematics; Floer homology; Alexander polynomial; Knot invariant; Automorphism; Pure mathematics; Dehn surgery; Combinatorics; Knot theory","score_opus":0.07678485254629212,"score_gpt":0.278036413104481,"score_spread":0.20125156055818888,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2152963358","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9622647,0.0011839875,0.0006385126,0.01790397,0.0005441871,0.0015572957,0.00009209809,0.00033745743,0.015477749],"genre_scores_gemma":[0.98674476,0.00031141873,0.0111989295,0.00038538352,0.0006081024,0.00011159577,0.0000060469774,0.00012962676,0.000504124],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958834,0.00005433645,0.0014101452,0.0009733772,0.000925425,0.0007533304],"domain_scores_gemma":[0.9957113,0.0017166117,0.0012194351,0.0006137445,0.0004164256,0.00032243703],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0018188043,0.0007904915,0.0019876384,0.00012624513,0.0002721929,0.00011887159,0.0011866819,0.0012593815,0.000115355004],"category_scores_gemma":[0.003474221,0.00053821463,0.0014328861,0.0005533336,0.0016120657,0.0001197416,0.0034321954,0.0018501916,0.000017470124],"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":[0.000030612395,0.0005202483,0.00075811055,0.00647419,0.00045718777,0.0000013232054,0.00078755675,1.4898397e-7,0.0001476116,0.9641172,0.026493974,0.0002117933],"study_design_scores_gemma":[0.00027833998,0.000045694494,0.0007552495,0.00072842685,0.0004885014,0.000057218564,0.00026200453,0.00023782822,0.00066485617,0.99576306,0.00014892341,0.00056990096],"about_ca_topic_score_codex":0.000018198029,"about_ca_topic_score_gemma":2.1255315e-7,"teacher_disagreement_score":0.031645812,"about_ca_system_score_codex":0.000102376165,"about_ca_system_score_gemma":0.0001252662,"threshold_uncertainty_score":0.9997069},"labels":[],"label_agreement":null},{"id":"W2154252189","doi":"10.1017/s0305004105008947","title":"Incomplete exponential sums and Diffie–Hellman triples","year":2006,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":9,"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":"Multiplicative function; Mathematics; Exponential function; Combinatorics; Integer (computer science); Order (exchange); Modulo; Prime (order theory); Distribution (mathematics); Discrete mathematics; Mathematical analysis; Computer science","score_opus":0.010405627194020287,"score_gpt":0.1960286202560741,"score_spread":0.18562299306205382,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2154252189","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9455303,0.00015637981,0.020206818,0.017775094,0.00014449524,0.00045498848,0.000009898295,0.0002664644,0.015455567],"genre_scores_gemma":[0.9902187,0.0000076230185,0.009138016,0.00027645525,0.00024688433,0.000018091174,6.521753e-7,0.00001593925,0.00007763505],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998217,0.000019533623,0.0004755098,0.00042707488,0.00050969695,0.00035117596],"domain_scores_gemma":[0.99908876,0.00020534651,0.00020634144,0.00027405503,0.00011090143,0.000114569295],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005952976,0.00024233277,0.00037461924,0.000036349127,0.00031032966,0.0001644285,0.0011184175,0.00013968334,0.000007434099],"category_scores_gemma":[0.000079818325,0.00016510264,0.0004817018,0.00046407484,0.0006194969,0.0002832848,0.00091079116,0.00031929594,0.0000065519475],"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":[0.000010626436,0.0001735258,0.00021021099,0.00018174475,0.000027262417,3.2155015e-7,0.00014184682,7.198779e-7,0.012554973,0.98500276,0.0014559944,0.00024003844],"study_design_scores_gemma":[0.00045967,0.00006984828,0.002296165,0.00009326071,0.000038992708,0.000028181586,0.00003219144,0.00686307,0.005735853,0.98382497,0.00031812332,0.00023966482],"about_ca_topic_score_codex":0.0000037669802,"about_ca_topic_score_gemma":7.7677726e-8,"teacher_disagreement_score":0.04468841,"about_ca_system_score_codex":0.000023286324,"about_ca_system_score_gemma":0.000012119587,"threshold_uncertainty_score":0.67326903},"labels":[],"label_agreement":null},{"id":"W2154990671","doi":"10.1017/s0305004115000274","title":"Portraits of preperiodic points for rational maps","year":2015,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":9,"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":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Conjecture; Degree (music); Periodic point; Field (mathematics); Rational function; Function (biology); Point (geometry); Action (physics)","score_opus":0.060520329402891565,"score_gpt":0.2926674260745629,"score_spread":0.23214709667167135,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2154990671","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9368433,0.00006805036,0.0050814226,0.022625916,0.00021967916,0.001914115,0.00018029046,0.00013815655,0.032929108],"genre_scores_gemma":[0.97056234,0.0000011869931,0.028332403,0.00028373513,0.0002613024,0.00007302949,0.000004719418,0.00004123443,0.00044007844],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976594,0.000018896179,0.00087605615,0.0003082247,0.00081305037,0.00032436577],"domain_scores_gemma":[0.9977136,0.00059022306,0.00054343924,0.00023726243,0.00070902414,0.00020642628],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020114733,0.00025428025,0.00063022436,0.000029626897,0.000116659605,0.000022588907,0.00060810876,0.00024204969,0.000034954242],"category_scores_gemma":[0.0036101977,0.00017367664,0.00071798183,0.00033089242,0.00061859336,0.00016791766,0.00027153513,0.00027868923,0.0000086020045],"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":[0.00009505196,0.00044063458,0.00013865481,0.0012941567,0.00012447106,9.764175e-8,0.00073250354,5.2411036e-7,0.0017710759,0.97307754,0.022294648,0.000030646614],"study_design_scores_gemma":[0.00091887056,0.00013037385,0.00008365877,0.00017677975,0.00014019318,0.000026811418,0.00043039606,0.00038090104,0.012369447,0.9849823,0.0001765038,0.00018373242],"about_ca_topic_score_codex":4.707038e-7,"about_ca_topic_score_gemma":2.2902144e-8,"teacher_disagreement_score":0.033719048,"about_ca_system_score_codex":0.000066073284,"about_ca_system_score_gemma":0.00009573997,"threshold_uncertainty_score":0.7082328},"labels":[],"label_agreement":null},{"id":"W2159285292","doi":"10.1017/s0305004108001199","title":"Weak*- continuous homomorphisms of Fourier–Stieltjes algebras","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":15,"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 Winnipeg; Lakehead University","funders":"","keywords":"Homomorphism; Mathematics; Abelian group; Locally compact space; Bounded function; Pure mathematics; Algebra over a field; Locally compact group; Fourier transform; Affine transformation; Discrete mathematics; Combinatorics; Mathematical analysis","score_opus":0.05297856819763867,"score_gpt":0.29525756942294795,"score_spread":0.24227900122530927,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2159285292","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96755886,0.000099839235,0.0012020072,0.0062155453,0.000088155175,0.0011318183,0.000046743316,0.00015711368,0.023499945],"genre_scores_gemma":[0.96256083,0.000038737704,0.035940975,0.00017075939,0.00024081455,0.000067395245,0.0000012506031,0.000095873795,0.00088337547],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958631,0.00003691838,0.0012349341,0.00051091565,0.0016811376,0.0006730206],"domain_scores_gemma":[0.996744,0.0009816658,0.0005983688,0.00053939334,0.00085567246,0.00028092897],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010204522,0.0004426103,0.0011918332,0.000055094144,0.00034558948,0.000026056809,0.0013029389,0.0003527636,0.00011806436],"category_scores_gemma":[0.0031019542,0.00029967484,0.000982504,0.00072556635,0.0022334387,0.00026558817,0.0007840809,0.000885448,0.000029517847],"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":[0.000057229223,0.0007057179,0.00058991817,0.0011725764,0.00018422224,0.0000025094473,0.0005416497,9.607568e-7,0.013396969,0.9735795,0.009694497,0.000074196294],"study_design_scores_gemma":[0.00094045117,0.00021398214,0.0003301501,0.0003249356,0.000121542274,0.00015836973,0.00033057327,0.00087431783,0.051119413,0.9450681,0.00015098363,0.00036716278],"about_ca_topic_score_codex":0.000002844075,"about_ca_topic_score_gemma":6.3983485e-8,"teacher_disagreement_score":0.037722442,"about_ca_system_score_codex":0.00011393524,"about_ca_system_score_gemma":0.00010139806,"threshold_uncertainty_score":0.9999455},"labels":[],"label_agreement":null},{"id":"W2165152668","doi":"10.1017/s0305004108001084","title":"Rolling sphere problems on spaces of constant curvature","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":43,"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":"Unit sphere; Mathematics; Isometry (Riemannian geometry); Homogeneous space; Lie group; Constant curvature; Euclidean space; Manifold (fluid mechanics); Sigma; Mathematical analysis; Mathematical physics; Combinatorics; Pure mathematics; Curvature; Physics; Geometry; Quantum mechanics","score_opus":0.04773139902892246,"score_gpt":0.27341933413860586,"score_spread":0.2256879351096834,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2165152668","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.937162,0.00012641483,0.00029389115,0.014281006,0.00012220678,0.0007585592,0.000025136702,0.00011072782,0.047120076],"genre_scores_gemma":[0.99290264,0.000038366856,0.006003509,0.00041236304,0.00017924466,0.000034795423,7.449976e-7,0.0000421452,0.00038620195],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99756366,0.000033819477,0.0008938015,0.00039284737,0.0006774555,0.00043841117],"domain_scores_gemma":[0.99782157,0.0008061911,0.0006268414,0.00032462348,0.00029047648,0.00013030096],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068616914,0.0003426292,0.0009305015,0.000027443875,0.0002526562,0.000011894519,0.0007452392,0.000505081,0.00010429851],"category_scores_gemma":[0.0010653549,0.00021797857,0.000696753,0.00036939842,0.001976286,0.00008750763,0.0002761686,0.0008751145,0.000014341798],"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":[0.000052325617,0.00060697703,0.00061009364,0.0010272735,0.00019263878,0.0000020366676,0.0010243552,0.000002193372,0.004903757,0.9870906,0.0044616456,0.000026130161],"study_design_scores_gemma":[0.00062634604,0.00025200553,0.00010827862,0.0005144372,0.00013071083,0.00015793495,0.00023426994,0.000437567,0.012284339,0.98489237,0.00012176304,0.00023999129],"about_ca_topic_score_codex":0.0000019092765,"about_ca_topic_score_gemma":1.267718e-7,"teacher_disagreement_score":0.055740647,"about_ca_system_score_codex":0.000052520863,"about_ca_system_score_gemma":0.00006323753,"threshold_uncertainty_score":0.8888908},"labels":[],"label_agreement":null},{"id":"W2171987715","doi":"10.1017/s0305004112000345","title":"Perfect powers with few binary digits and related Diophantine problems, II","year":2012,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":20,"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":"Diophantine equation; Mathematics; Integer (computer science); Mathematical proof; Perfect power; Binary number; Logarithm; Combinatorics; Discrete mathematics; Power (physics); Arithmetic; Mathematical analysis; Computer science; Physics","score_opus":0.03406907848087074,"score_gpt":0.28076549526748273,"score_spread":0.246696416786612,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2171987715","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9527782,0.00019494863,0.000081998296,0.0105572175,0.000041435127,0.0009804647,0.000011917016,0.00015481957,0.035198983],"genre_scores_gemma":[0.99501574,0.000022959352,0.0024669613,0.00012276245,0.00015264378,0.000044160795,0.0000014122041,0.00009038641,0.0020829563],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99701375,0.00003703772,0.0006895527,0.00041822295,0.0010378892,0.0008035249],"domain_scores_gemma":[0.99807477,0.0005591227,0.00035473413,0.00032707606,0.00028323522,0.00040105448],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019583316,0.0004128975,0.000749294,0.000043848573,0.00043019434,0.000059340986,0.00058712286,0.0002719343,0.00008470204],"category_scores_gemma":[0.0009589425,0.00023896771,0.0003942616,0.00064238976,0.0012624305,0.00041950287,0.0009351105,0.0008236402,0.000020933301],"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":[0.000102086415,0.0011912715,0.0033996734,0.0028513884,0.00049203244,0.0000015806256,0.0020809106,6.3271557e-7,0.0053586247,0.9803016,0.0041584,0.00006178275],"study_design_scores_gemma":[0.001745202,0.00053431164,0.0015538012,0.0012373572,0.00048693904,0.0005531576,0.00064217846,0.0015513138,0.002975981,0.9877764,0.00024010996,0.000703233],"about_ca_topic_score_codex":0.0000014917686,"about_ca_topic_score_gemma":2.7900894e-8,"teacher_disagreement_score":0.042237543,"about_ca_system_score_codex":0.00009295953,"about_ca_system_score_gemma":0.000036504418,"threshold_uncertainty_score":0.97448206},"labels":[],"label_agreement":null},{"id":"W2260651588","doi":"10.1017/s0305004115000341","title":"Loci of complex polynomials, part II: polar derivatives","year":2015,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","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":"Western University","funders":"","keywords":"Locus (genetics); Mathematics; Polar; Combinatorics; Polynomial; Pure mathematics; Mathematical analysis; Physics; Chemistry","score_opus":0.10722345661505023,"score_gpt":0.3101107488112058,"score_spread":0.2028872921961556,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2260651588","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9581233,0.00007819488,0.010216506,0.011021571,0.00015141677,0.0011570689,0.00013300218,0.00015435742,0.018964542],"genre_scores_gemma":[0.98125833,0.0000037473712,0.017924499,0.00015613082,0.00026395684,0.000030021034,0.0000053618014,0.00004315929,0.00031478528],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972744,0.000031969827,0.001121029,0.00032379408,0.000880463,0.00036834253],"domain_scores_gemma":[0.9977477,0.0003684455,0.0007137516,0.0003015404,0.00055189885,0.00031663125],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007585546,0.00030650606,0.0008737617,0.000027944812,0.00019950616,0.000026496906,0.0006514134,0.00022701597,0.000049390637],"category_scores_gemma":[0.002454318,0.0001991717,0.00062529347,0.0004063084,0.0007557639,0.00017459506,0.00059005007,0.000331483,0.0000073371],"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":[0.00003635725,0.000652612,0.00017929525,0.00069229945,0.0001207884,9.67171e-8,0.00069172616,0.0000028070265,0.009749655,0.9790167,0.008803888,0.000053752607],"study_design_scores_gemma":[0.0007980367,0.00016210676,0.00018551384,0.0002427185,0.00012406435,0.000008754892,0.00051956455,0.0044908985,0.004113058,0.98855436,0.00054121146,0.00025973393],"about_ca_topic_score_codex":0.000007646247,"about_ca_topic_score_gemma":1.7194756e-7,"teacher_disagreement_score":0.023134999,"about_ca_system_score_codex":0.00010804876,"about_ca_system_score_gemma":0.000058794445,"threshold_uncertainty_score":0.81219864},"labels":[],"label_agreement":null},{"id":"W2274030408","doi":"10.1017/s0305004117000688","title":"An asymptotic for the average number of amicable pairs for elliptic curves","year":2017,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","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 Lethbridge","funders":"","keywords":"Mathematics; Elliptic curve; Constant (computer programming); Function (biology); Upper and lower bounds; Order (exchange); Combinatorics; Pure mathematics; Mathematical analysis; Computer science","score_opus":0.05722723428058893,"score_gpt":0.3307215120957223,"score_spread":0.27349427781513336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2274030408","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79055053,0.0015645337,0.081132405,0.07230261,0.0019964662,0.025606904,0.0022516428,0.0006386931,0.023956204],"genre_scores_gemma":[0.97800076,0.00013954284,0.018815538,0.00044899754,0.00080069306,0.0008119224,0.000017840617,0.00016306582,0.0008016157],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99613816,0.000044925997,0.0014230977,0.0007814589,0.00093523104,0.00067711447],"domain_scores_gemma":[0.99135095,0.0041640787,0.0019538067,0.0013935055,0.0009403163,0.00019736],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003993854,0.0006947698,0.0016691895,0.000027758759,0.0006581056,0.00013112236,0.003346071,0.00079693366,0.000064678],"category_scores_gemma":[0.0050721886,0.00041638387,0.002533825,0.00015853673,0.0014656306,0.00019677466,0.0012576019,0.0011402407,0.000007222738],"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":[0.0001356102,0.00091780827,0.000093592986,0.03752821,0.0008676152,1.1976954e-7,0.00053183985,0.000015293654,0.00053481624,0.9453447,0.013941724,0.000088681285],"study_design_scores_gemma":[0.00069385674,0.000115173556,0.00007107772,0.0028492354,0.0011332799,0.000016138425,0.00018108821,0.00989845,0.0035317412,0.9808918,0.00014808492,0.00047006697],"about_ca_topic_score_codex":0.0000039144575,"about_ca_topic_score_gemma":7.646733e-8,"teacher_disagreement_score":0.18745025,"about_ca_system_score_codex":0.00010634684,"about_ca_system_score_gemma":0.00012298823,"threshold_uncertainty_score":0.9998288},"labels":[],"label_agreement":null},{"id":"W2275222940","doi":"10.1017/s0305004115000535","title":"Non-commutative Iwasawa theory for elliptic curves with multiplicative reduction","year":2015,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":6,"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; Multiplicative function; Iwasawa theory; Elliptic curve; Galois module; Formal group; Multiplicative group; Pure mathematics; Conjecture; Invariant (physics); Commutative property; Prime (order theory); Congruence relation; Galois group; Discrete mathematics; Combinatorics; Mathematical analysis","score_opus":0.05346691573088685,"score_gpt":0.298190336766405,"score_spread":0.24472342103551814,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2275222940","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8881312,0.00032761582,0.036682878,0.02988563,0.00021614623,0.005862275,0.00009478271,0.00036916073,0.03843032],"genre_scores_gemma":[0.9741654,0.000012336063,0.024034528,0.00040257434,0.0002793484,0.00034742584,0.000004183168,0.00007755095,0.00067666546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99768895,0.000042925134,0.0006567242,0.00045850888,0.00071353134,0.00043937573],"domain_scores_gemma":[0.9967436,0.0011868165,0.0005815042,0.00036111972,0.0008760469,0.00025087816],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002526156,0.00039064238,0.0007362917,0.00003242085,0.00024325898,0.000033781304,0.0007405897,0.00022067004,0.000015199633],"category_scores_gemma":[0.0019835609,0.0002348748,0.0005298454,0.0005329042,0.0011349913,0.00026176497,0.00026969143,0.00053563097,0.000015789154],"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":[0.00035256962,0.0006104382,0.00004157865,0.0025400117,0.00033035417,1.7683305e-7,0.0028467032,0.0000017146049,0.00133803,0.9810718,0.010804324,0.00006227057],"study_design_scores_gemma":[0.0011966759,0.00030872156,0.00004255031,0.00090834586,0.00036520898,0.000056449797,0.0030707708,0.0007187583,0.017498951,0.97545475,0.000058073932,0.0003207497],"about_ca_topic_score_codex":9.1163724e-7,"about_ca_topic_score_gemma":2.0141409e-8,"teacher_disagreement_score":0.08603419,"about_ca_system_score_codex":0.00013409283,"about_ca_system_score_gemma":0.00007042434,"threshold_uncertainty_score":0.95779157},"labels":[],"label_agreement":null},{"id":"W2285424051","doi":"10.1017/s0305004118000440","title":"Growth of quasiconvex subgroups","year":2018,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Quasiconvex function; Exponential growth; Group (periodic table); Class (philosophy); Work (physics)","score_opus":0.03673943761262972,"score_gpt":0.27785584993218215,"score_spread":0.24111641231955244,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2285424051","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9479962,0.00003086624,0.0013513949,0.013239535,0.00015553189,0.00048236793,0.000016992597,0.00009940037,0.036627732],"genre_scores_gemma":[0.98939043,0.000005202554,0.00943083,0.00036392626,0.00044906783,0.000015670385,4.4493947e-7,0.000039677492,0.0003047421],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975978,0.000018638242,0.0008905285,0.00034980057,0.0007102011,0.0004330259],"domain_scores_gemma":[0.9976371,0.0006693061,0.0005616202,0.00029429156,0.00069092185,0.00014675455],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095017446,0.000277719,0.0007569113,0.000056770597,0.00015352994,0.00001700747,0.0009117516,0.00030105223,0.00015245625],"category_scores_gemma":[0.0025085092,0.0001787252,0.0007089653,0.0009126449,0.0020021752,0.00011319706,0.00049570994,0.00040465716,0.000032987184],"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":[0.000021412961,0.00039656865,0.0008385003,0.0009002501,0.000107135354,1.3666077e-7,0.00043710208,6.634229e-9,0.00392804,0.98459166,0.0087329615,0.00004621175],"study_design_scores_gemma":[0.00046391285,0.00021372213,0.00080293586,0.00013266405,0.00013006959,0.000023673763,0.0002006598,0.00022428368,0.028294355,0.9692704,0.000054474698,0.00018884045],"about_ca_topic_score_codex":0.00000429394,"about_ca_topic_score_gemma":6.959218e-8,"teacher_disagreement_score":0.041394256,"about_ca_system_score_codex":0.00004551644,"about_ca_system_score_gemma":0.000034161883,"threshold_uncertainty_score":0.7377098},"labels":[],"label_agreement":null},{"id":"W2334766273","doi":"10.1017/s0305004114000280","title":"Nair–Tenenbaum uniform with respect to the discriminant–ERRATUM","year":2014,"lang":"en","type":"erratum","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":16,"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":"Discriminant; Argument (complex analysis); Divisor (algebraic geometry); Wish; Mathematics; Computer science; Calculus (dental); Epistemology; Mathematical economics; Philosophy; Artificial intelligence; Discrete mathematics; Sociology; Medicine; Anthropology; Orthodontics","score_opus":0.048049409962962225,"score_gpt":0.3064564848548201,"score_spread":0.2584070748918579,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2334766273","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0070556193,0.00018948493,0.0034307684,0.24313124,0.0031974202,0.006457785,0.00025238446,0.0005368339,0.73574847],"genre_scores_gemma":[0.2862811,0.0001502747,0.019442802,0.006647429,0.014859801,0.0012212452,0.0000602368,0.0016561815,0.6696809],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99183893,0.00011325195,0.0015890899,0.0012539045,0.0037000705,0.0015047655],"domain_scores_gemma":[0.99409235,0.0013477536,0.0010761026,0.0017140843,0.0011591936,0.0006105099],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0042086747,0.0012186699,0.0021601918,0.00010875681,0.0008381247,0.00031210022,0.004790624,0.0011359918,0.00010225587],"category_scores_gemma":[0.003994351,0.0005782099,0.001723086,0.0012411234,0.0020245046,0.00018128892,0.0024773523,0.004660224,0.00019023239],"study_design_candidate":"theoretical_or_conceptual","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":[0.00008760855,0.00021693461,0.0000063216626,0.0022939148,0.00032479063,0.00000160345,0.0004749254,5.050987e-7,0.00004405704,0.4453593,0.55116147,0.000028580816],"study_design_scores_gemma":[0.0005723185,0.00042133997,0.000049614664,0.0029573105,0.0010130283,0.0001279112,0.00064189476,0.0014189935,0.0002306653,0.94533515,0.046296533,0.00093526824],"about_ca_topic_score_codex":0.0000134696365,"about_ca_topic_score_gemma":0.0000042211204,"teacher_disagreement_score":0.50486493,"about_ca_system_score_codex":0.00048486557,"about_ca_system_score_gemma":0.0003383697,"threshold_uncertainty_score":0.9996669},"labels":[],"label_agreement":null},{"id":"W2349599710","doi":"10.1017/s0305004109002424","title":"A converse to the Grace–Walsh–Szegő theorem","year":2009,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Topics in Algebra","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":"","keywords":"Mathematics; Converse; Permutation (music); Permutation group; Class (philosophy); Homogeneous; Characterization (materials science); Discrete mathematics; Coincidence; Pure mathematics; Combinatorics; Computer science","score_opus":0.03777944059363071,"score_gpt":0.3003899930205965,"score_spread":0.2626105524269658,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2349599710","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6339643,0.00006637101,0.0071972646,0.2965443,0.00033770798,0.0030008561,0.00004004332,0.00046300687,0.058386166],"genre_scores_gemma":[0.96725273,0.000007996184,0.025795622,0.0055157184,0.00047941942,0.000058301055,6.154066e-7,0.000056626228,0.00083299127],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99692327,0.000030138408,0.0008413626,0.00050916476,0.0010745544,0.0006215081],"domain_scores_gemma":[0.9975717,0.0007687998,0.00038695493,0.0006586004,0.00035737245,0.00025659316],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013102877,0.00042543982,0.0006754714,0.000029296445,0.00038962462,0.00008398966,0.0016753827,0.0002607684,0.00006105834],"category_scores_gemma":[0.0028678863,0.00023335841,0.00082183303,0.000672838,0.0005677668,0.00017957519,0.0005409123,0.00087154604,0.00009116717],"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":[0.000029617548,0.00029327426,0.000022263317,0.00020066607,0.000061401595,5.6062515e-7,0.0008646918,0.0000011452793,0.0020513928,0.9781543,0.018096566,0.00022413097],"study_design_scores_gemma":[0.00039536954,0.00012586509,0.00019780536,0.00020025899,0.000121232355,0.000033849738,0.00031404855,0.0004952663,0.005111188,0.99162954,0.0010809517,0.0002946173],"about_ca_topic_score_codex":6.045627e-7,"about_ca_topic_score_gemma":8.561643e-8,"teacher_disagreement_score":0.33328843,"about_ca_system_score_codex":0.00014270851,"about_ca_system_score_gemma":0.0000334204,"threshold_uncertainty_score":0.951608},"labels":[],"label_agreement":null},{"id":"W2406680918","doi":"10.1017/s0305004116000141","title":"Obstructions for semigroups of partial isometries to be self-adjoint","year":2016,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra 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":"University of Lethbridge","funders":"","keywords":"Mathematics; Semigroup; Multiplicity (mathematics); Separable space; Hilbert space; Abelian group; Von Neumann algebra; Pure mathematics; Von Neumann architecture; Algebra over a field; Discrete mathematics; Mathematical analysis","score_opus":0.06644965389955289,"score_gpt":0.3276496133194305,"score_spread":0.2611999594198776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2406680918","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9157332,0.000021948446,0.01811786,0.061866604,0.00012052628,0.0022352105,0.00022111516,0.00019099451,0.0014925163],"genre_scores_gemma":[0.89854646,0.000008557464,0.10032809,0.00025609377,0.0002801133,0.00024535196,5.2408166e-7,0.000070328344,0.00026450946],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99712926,0.000016665332,0.0009298695,0.00043650073,0.00093546615,0.0005522286],"domain_scores_gemma":[0.9965712,0.0016183436,0.0003246083,0.00037743276,0.000839792,0.0002686269],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009768577,0.0002955624,0.00074396114,0.00006498676,0.00021574367,0.00002979192,0.00079455087,0.00022350847,0.000041242223],"category_scores_gemma":[0.005676751,0.00016545967,0.0007418501,0.0007293354,0.00055419863,0.00022557852,0.0005737997,0.0002670416,0.000009220479],"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":[0.00006523235,0.00038877866,0.000115649935,0.0011923513,0.00014969324,7.755648e-8,0.0005656585,3.9573777e-7,0.05799021,0.9333092,0.0060783136,0.00014443668],"study_design_scores_gemma":[0.00077598525,0.00024771117,0.000072150244,0.00026827396,0.00011629679,0.000010365165,0.0002717755,0.00022103179,0.18027657,0.81692857,0.00057359686,0.00023769641],"about_ca_topic_score_codex":6.789655e-7,"about_ca_topic_score_gemma":9.035612e-8,"teacher_disagreement_score":0.12228636,"about_ca_system_score_codex":0.00018626757,"about_ca_system_score_gemma":0.00006096144,"threshold_uncertainty_score":0.67960113},"labels":[],"label_agreement":null},{"id":"W2511271637","doi":"10.1017/s0305004115000730","title":"Low-lying zeros of elliptic curve <i>L</i>-functions: Beyond the Ratios Conjecture","year":2016,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":13,"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; University of Ottawa","funders":"","keywords":"Conjecture; Coprime integers; Elliptic curve; Twists of curves; Quadratic equation; Fourier analysis; Term (time); Fourier series; Fourier transform","score_opus":0.038622843062397515,"score_gpt":0.2903181094775397,"score_spread":0.2516952664151422,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2511271637","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86685574,0.00013598266,0.0172069,0.09145514,0.0002228264,0.0027689794,0.00013267634,0.00020923806,0.02101249],"genre_scores_gemma":[0.9959255,0.000021521275,0.0014706719,0.00040165134,0.00031604661,0.000084905514,7.9400985e-7,0.00007104173,0.0017078947],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99645096,0.00007524431,0.0010981817,0.00045004304,0.0013569384,0.0005686287],"domain_scores_gemma":[0.9949523,0.0030109503,0.0006368144,0.00061428896,0.0006113033,0.00017434928],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00235014,0.00038259043,0.0007780637,0.000036740694,0.00035710723,0.000054578246,0.0013144008,0.0002956536,0.00017418638],"category_scores_gemma":[0.003477137,0.00016890233,0.00097572414,0.00060497905,0.0019437812,0.00022427503,0.0006435242,0.00068200025,0.000060003127],"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":[0.0000490505,0.00036069128,0.00022096196,0.0010855409,0.00027159206,3.3683156e-7,0.00047897533,6.5517406e-7,0.039601423,0.9469993,0.010783555,0.00014791974],"study_design_scores_gemma":[0.000713513,0.00009164687,0.000052889864,0.00046844914,0.00023859413,0.000032455704,0.00040664984,0.0004694923,0.04144077,0.9557403,0.000116814255,0.00022845178],"about_ca_topic_score_codex":0.0000017224688,"about_ca_topic_score_gemma":1.2143026e-7,"teacher_disagreement_score":0.1290697,"about_ca_system_score_codex":0.00013713435,"about_ca_system_score_gemma":0.00008520643,"threshold_uncertainty_score":0.7161943},"labels":[],"label_agreement":null},{"id":"W2514116065","doi":"10.1017/s0305004117000500","title":"Squarefree doubly primitive divisors in dynamical sequences","year":2017,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","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 British Columbia","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Square-free integer; Combinatorics; Finite field; Function field; Modulo; Conjecture; Integer (computer science); Natural number; Prime number; Field (mathematics); Discrete mathematics; Primitive root modulo n; Number theory; Function (biology); Valuation (finance); Pure mathematics","score_opus":0.053679428278748255,"score_gpt":0.3072660585551198,"score_spread":0.2535866302763715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2514116065","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93401486,0.00010685097,0.00038150646,0.017518094,0.00038108954,0.0018332154,0.00014076839,0.00018759367,0.045436036],"genre_scores_gemma":[0.9931076,0.000034797817,0.0053641824,0.00022276251,0.00047441525,0.00019340872,0.000007695319,0.000110432644,0.0004847069],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9947959,0.000079152574,0.0016104408,0.0011273158,0.0015227016,0.0008644512],"domain_scores_gemma":[0.99540704,0.0012148557,0.0015930148,0.0010708764,0.00043629165,0.0002779356],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":["research_integrity"],"category_scores_codex":[0.0028088067,0.000894692,0.0018996322,0.00009728787,0.00038938798,0.00021854037,0.0035275298,0.0014252082,0.00006169602],"category_scores_gemma":[0.0042520193,0.0006241588,0.0017710067,0.00033487254,0.0022731212,0.00026251224,0.0045642313,0.0034344974,0.000027161412],"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":[0.00008414492,0.0008691243,0.0007317972,0.00559285,0.00031454692,0.000005334622,0.0012827836,0.000005312235,0.00040905736,0.9887511,0.0018378882,0.00011604027],"study_design_scores_gemma":[0.00068809034,0.00006543601,0.001317111,0.00249256,0.00027515585,0.00003552342,0.00031995281,0.0017254465,0.0011114528,0.991272,0.000023982324,0.0006733355],"about_ca_topic_score_codex":0.00001730345,"about_ca_topic_score_gemma":8.445918e-7,"teacher_disagreement_score":0.059092753,"about_ca_system_score_codex":0.00039509308,"about_ca_system_score_gemma":0.00017405709,"threshold_uncertainty_score":0.99987113},"labels":[],"label_agreement":null},{"id":"W2529139534","doi":"10.1017/s030500411700041x","title":"Traces, high powers and one level density for families of curves over finite fields","year":2017,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":6,"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; Finite field; Function field; Pure mathematics; Polynomial; Field (mathematics); Genus; Prime (order theory); Unitary matrix; Moduli; Function (biology); Riemann zeta function; Dirichlet distribution; Characteristic polynomial; Moduli space; Combinatorics; Mathematical analysis; Unitary state; Physics","score_opus":0.12439835709044195,"score_gpt":0.3438903130714237,"score_spread":0.21949195598098176,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2529139534","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93682975,0.00052754476,0.008673464,0.04084685,0.00022394364,0.0040807123,0.0010087827,0.00012337546,0.007685605],"genre_scores_gemma":[0.9786725,0.00038577057,0.019295309,0.00025687643,0.0002636378,0.000108563756,0.000008621667,0.000085804604,0.00092291046],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99644053,0.000035664703,0.0011146818,0.00068883575,0.001207176,0.00051313016],"domain_scores_gemma":[0.99445134,0.0024696938,0.001241508,0.00078973774,0.00084229,0.00020543241],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002472238,0.0005313955,0.0017343691,0.000050501447,0.00028892176,0.00009294544,0.0015725046,0.0008402761,0.000034093035],"category_scores_gemma":[0.0071470486,0.00038930363,0.0011787976,0.00011802057,0.0019142374,0.00013530835,0.0026058604,0.001408722,0.0000019129268],"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":[0.00014576998,0.00065507804,0.0003236964,0.044404723,0.00092307036,4.547605e-7,0.0006825854,0.0000012768688,0.00067008944,0.93983465,0.012234915,0.00012367842],"study_design_scores_gemma":[0.0006917204,0.00009400003,0.0006379456,0.0040605897,0.0007156986,0.0000058080686,0.00014816644,0.0023231716,0.0030608946,0.98786354,0.000018244149,0.00038020362],"about_ca_topic_score_codex":0.00003193585,"about_ca_topic_score_gemma":0.0000011950702,"teacher_disagreement_score":0.048028894,"about_ca_system_score_codex":0.00009367773,"about_ca_system_score_gemma":0.00014722318,"threshold_uncertainty_score":0.9998559},"labels":[],"label_agreement":null},{"id":"W2606370575","doi":"10.1017/s0305004115000353","title":"Primitive submodules for Drinfeld modules","year":2015,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic Geometry and Number Theory","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; Modulo; Residue field; Prime (order theory); Primitive root modulo n; Finitely-generated abelian group; Algebraic number field; Finite field; Field (mathematics); Discrete mathematics; Rank (graph theory); Ring of integers; Ring (chemistry); Combinatorics; Natural density; Arithmetic; Pure mathematics","score_opus":0.07308415749482013,"score_gpt":0.29681125512586737,"score_spread":0.22372709763104726,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2606370575","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9365085,0.00006519793,0.008762805,0.015377884,0.00021427326,0.0016612009,0.000068207075,0.0002456086,0.037096355],"genre_scores_gemma":[0.9695754,0.0000034894808,0.028698703,0.00040876173,0.00046629916,0.00013532808,0.0000022614527,0.00006476545,0.00064501056],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976097,0.000021373895,0.00070808,0.00042202676,0.00074338896,0.0004954349],"domain_scores_gemma":[0.99739313,0.0009615126,0.0003859518,0.00030880442,0.0006621007,0.00028849122],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017482407,0.00034926573,0.0006871907,0.000031150306,0.00019923583,0.000050049952,0.00080912746,0.00030081987,0.000016908492],"category_scores_gemma":[0.0037801506,0.00023170949,0.0008508041,0.00035214424,0.0006859043,0.00021490963,0.0004416892,0.00041005883,0.000018121502],"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":[0.000074904674,0.00039702814,0.00011098706,0.0008439132,0.00014282065,1.5304933e-7,0.00066193833,7.5301193e-7,0.0010554582,0.98214906,0.014465976,0.00009701485],"study_design_scores_gemma":[0.0008780386,0.00012602241,0.00013148505,0.00017631338,0.0001722482,0.000021840242,0.0007296454,0.0009856474,0.014507574,0.9816528,0.00033464073,0.00028375592],"about_ca_topic_score_codex":9.2544303e-7,"about_ca_topic_score_gemma":3.8155022e-8,"teacher_disagreement_score":0.036451343,"about_ca_system_score_codex":0.0001135471,"about_ca_system_score_gemma":0.000046279765,"threshold_uncertainty_score":0.9448839},"labels":[],"label_agreement":null},{"id":"W2612432896","doi":"10.1017/s0305004117000639","title":"Positive Herz–Schur multipliers and approximation properties of crossed products","year":2017,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Queen's University Belfast; Instytut Matematyczny, Polskiej Akademii Nauk; Göteborgs Universitet; Queen's University; Chalmers Tekniska Högskola","keywords":"Mathematics; Pure mathematics","score_opus":0.05702782836157444,"score_gpt":0.2861410533535579,"score_spread":0.22911322499198344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2612432896","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9775388,0.000036809226,0.00040615362,0.009642647,0.00006285222,0.0013850604,0.000022262862,0.00008409172,0.010821313],"genre_scores_gemma":[0.97840124,0.0000074239188,0.021055168,0.000081028855,0.00018351902,0.000054434804,5.3979085e-7,0.00006226532,0.0001543816],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99735254,0.000027413662,0.0008996119,0.00048156714,0.000824761,0.0004140992],"domain_scores_gemma":[0.99706566,0.00037073685,0.0011179047,0.00068127696,0.0006229171,0.00014150498],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0011947824,0.00039572682,0.00089064584,0.000025416875,0.0005954853,0.00015537429,0.0010899771,0.00024427913,0.000007707256],"category_scores_gemma":[0.0055998014,0.0002534956,0.00043636432,0.00017038868,0.0027177488,0.00046539967,0.0007489385,0.00050960726,0.0000057227394],"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":[0.00006825976,0.00050067727,0.00008814007,0.0041845962,0.00014805993,1.8249351e-7,0.001323588,3.1821608e-7,0.14379391,0.84955174,0.0002663941,0.00007416587],"study_design_scores_gemma":[0.00052404276,0.00006691294,0.0004953139,0.0007831491,0.00014996118,0.000012129884,0.00024186884,0.0018459565,0.23614676,0.75949895,0.0000026061118,0.00023231891],"about_ca_topic_score_codex":0.0000032517125,"about_ca_topic_score_gemma":5.272596e-8,"teacher_disagreement_score":0.09235285,"about_ca_system_score_codex":0.00007362203,"about_ca_system_score_gemma":0.000038405287,"threshold_uncertainty_score":0.9999963},"labels":[],"label_agreement":null},{"id":"W2634535468","doi":"10.1017/s0305004119000100","title":"Chebyshev’s bias for analytic<i>L</i>-functions","year":2019,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":16,"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":"Mathematics; Logarithm; Chebyshev filter; Chebyshev equation; Dirichlet distribution; Pure mathematics; Prime (order theory); Independence (probability theory); Chebyshev polynomials; Discrete mathematics; Combinatorics; Mathematical analysis; Statistics; Orthogonal polynomials","score_opus":0.027308256757302043,"score_gpt":0.23471868974642648,"score_spread":0.20741043298912443,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2634535468","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6797856,0.0000887491,0.1662557,0.07273766,0.00085599825,0.0027997084,0.000048628946,0.0006752513,0.07675268],"genre_scores_gemma":[0.9839054,0.0000024699607,0.014271281,0.0009872435,0.00016113691,0.00005673534,8.281797e-7,0.000020327998,0.0005945887],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982448,0.000011277124,0.00044732777,0.00045928126,0.00046854775,0.00036875007],"domain_scores_gemma":[0.9985124,0.00042160138,0.0002298076,0.00043084612,0.00027677894,0.0001285913],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009814184,0.00022257428,0.00039942385,0.0000388647,0.00021683142,0.000121178244,0.0014921334,0.00015323612,0.000023656416],"category_scores_gemma":[0.00027607608,0.00014905405,0.001087848,0.0007655091,0.00024226078,0.0003111581,0.0005407773,0.00030669148,0.000053616754],"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":[0.000013447974,0.00017000233,0.0003608063,0.00031771522,0.00007969843,3.5431267e-8,0.00015899043,0.0000035265932,0.0037677546,0.9903595,0.0045726113,0.00019594113],"study_design_scores_gemma":[0.00056332856,0.00017326357,0.00038914612,0.00012698163,0.00008049637,0.000012560192,0.000080418205,0.028591456,0.003860513,0.9638792,0.0019695428,0.00027303878],"about_ca_topic_score_codex":5.0684235e-7,"about_ca_topic_score_gemma":1.5031446e-8,"teacher_disagreement_score":0.30411977,"about_ca_system_score_codex":0.000040066254,"about_ca_system_score_gemma":0.00003087608,"threshold_uncertainty_score":0.60782474},"labels":[],"label_agreement":null},{"id":"W2752527371","doi":"10.1017/s0305004118000385","title":"Two remarks on Wall's D2 problem","year":2018,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Simple (philosophy); Homotopy; Property (philosophy); Pure mathematics; Type (biology); Simple group; Group (periodic table); Combinatorics; Finite group; Physics; Biology","score_opus":0.03102947133805791,"score_gpt":0.2995781316298016,"score_spread":0.26854866029174373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2752527371","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6311997,0.000018587543,0.00049723673,0.06696188,0.00025099865,0.0011684631,0.000013967591,0.0002977112,0.29959145],"genre_scores_gemma":[0.976064,0.0000044415137,0.019215195,0.002623897,0.00079645694,0.00007400616,8.692322e-7,0.00006423546,0.0011568544],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971861,0.000044865366,0.00085764413,0.00056488474,0.00070575956,0.0006406961],"domain_scores_gemma":[0.9978068,0.0007082135,0.00043403672,0.00046699014,0.00038814128,0.00019584366],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012622636,0.00040233537,0.0007486974,0.00003725361,0.00037700997,0.00003669713,0.0010996598,0.0004422643,0.00025410278],"category_scores_gemma":[0.0010836535,0.0002588431,0.00067881786,0.00040910038,0.002195304,0.00010880173,0.0005042436,0.0008800195,0.00015112088],"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":[0.000067262255,0.0005220783,0.00010552312,0.00037560638,0.00013980363,9.344066e-7,0.00048371396,6.9696014e-8,0.0026374764,0.9789652,0.016572133,0.00013018193],"study_design_scores_gemma":[0.0007483021,0.00041240506,0.00010044816,0.00025760138,0.00013180192,0.00008291612,0.000095917414,0.00038643906,0.0112783555,0.98576754,0.00045365156,0.0002846364],"about_ca_topic_score_codex":0.0000027891099,"about_ca_topic_score_gemma":3.519073e-7,"teacher_disagreement_score":0.34486434,"about_ca_system_score_codex":0.000105731735,"about_ca_system_score_gemma":0.000045600693,"threshold_uncertainty_score":0.99998635},"labels":[],"label_agreement":null},{"id":"W2786114152","doi":"10.1017/s0305004119000240","title":"Classifying spaces for commutativity of low-dimensional Lie groups","year":2019,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; University of British Columbia; National Research Foundation; Danmarks Grundforskningsfond; London Mathematical Society","keywords":"Homotopy; Commutative property; Classifying space; Homotopy group; Homotopy category; Algebra over a field; n-connected; Action (physics); Lie group","score_opus":0.036660886085285414,"score_gpt":0.2933255307609052,"score_spread":0.2566646446756198,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2786114152","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9792659,0.00002926584,0.00050582,0.012008407,0.00016856463,0.0010674086,0.00003791168,0.00006480554,0.006851885],"genre_scores_gemma":[0.9851806,0.0000023438558,0.013838244,0.00037861537,0.00013735547,0.000063007516,0.0000019222794,0.00004106467,0.00035682568],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978645,0.00003500577,0.0007958443,0.00036685952,0.00051677076,0.00042102576],"domain_scores_gemma":[0.9963947,0.0022559161,0.0006058265,0.00030920684,0.00032993755,0.00010442735],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011996976,0.00029069645,0.0009164504,0.000029861967,0.00016009703,0.000017432552,0.00070534693,0.00042384258,0.00010710956],"category_scores_gemma":[0.0011230614,0.00019779988,0.00082684174,0.0002327767,0.0010253473,0.00012353319,0.00045717284,0.0005466185,0.000019673178],"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":[0.00007886805,0.00053840346,0.0007222144,0.0030681647,0.00018024478,1.757313e-7,0.00046545852,7.547883e-7,0.015407366,0.9768948,0.0026098115,0.000033764205],"study_design_scores_gemma":[0.0008993397,0.00021543163,0.0002390668,0.0003446898,0.00012872693,0.000028026663,0.00021372638,0.0020564026,0.017579261,0.97803754,0.00004334298,0.00021446528],"about_ca_topic_score_codex":0.0000011567347,"about_ca_topic_score_gemma":9.082239e-8,"teacher_disagreement_score":0.013332423,"about_ca_system_score_codex":0.00005898555,"about_ca_system_score_gemma":0.000049949333,"threshold_uncertainty_score":0.8066045},"labels":[],"label_agreement":null},{"id":"W2796860530","doi":"10.1017/s030500411800018x","title":"Duality between loci of complex polynomials and the zeros of polar derivatives","year":2018,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Differential Equations and Dynamical Systems","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":"Western University","funders":"","keywords":"Locus (genetics); Mathematics; Polar; Pure mathematics; Polynomial; Bounded function; Duality (order theory); Algebra over a field; Mathematical analysis; Physics","score_opus":0.06747861736425384,"score_gpt":0.3173171173225936,"score_spread":0.24983849995833976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2796860530","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9757575,0.000038468785,0.014135294,0.006234583,0.000028214885,0.0009027452,0.00012086754,0.000032993386,0.0027493297],"genre_scores_gemma":[0.9909563,0.000005794001,0.0086386185,0.00008764022,0.00022359396,0.000016845586,0.0000019854972,0.000024613608,0.00004458375],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99763536,0.00006546867,0.0011916038,0.00025509173,0.0006008522,0.00025164007],"domain_scores_gemma":[0.99667513,0.0015238078,0.00093325047,0.0002802695,0.00047085027,0.000116674746],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0012575003,0.00023702803,0.001028896,0.000019394169,0.00020429638,0.000021785407,0.000524702,0.00017806047,0.00002650196],"category_scores_gemma":[0.002374204,0.00012485188,0.00049899885,0.0003013264,0.0037786046,0.00010347214,0.00048053035,0.00025103212,0.0000015671233],"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":[0.00006315459,0.00017738166,0.0008137688,0.0012794263,0.00017907585,1.2504098e-8,0.00094583834,1.14277455e-7,0.018021714,0.9781615,0.00028366697,0.00007435257],"study_design_scores_gemma":[0.001110127,0.00009944461,0.003082299,0.00022413068,0.0001840402,0.000002705199,0.00034645706,0.0015197201,0.011181688,0.9820854,0.000018308976,0.00014568605],"about_ca_topic_score_codex":0.00001274534,"about_ca_topic_score_gemma":1.5842116e-7,"teacher_disagreement_score":0.01519882,"about_ca_system_score_codex":0.00003169102,"about_ca_system_score_gemma":0.000022474098,"threshold_uncertainty_score":0.99893254},"labels":[],"label_agreement":null},{"id":"W2802919785","doi":"10.1017/s0305004120000201","title":"Divergence and quasi-isometry classes of random Gromov’s monsters","year":2021,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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":"Toronto Metropolitan University","funders":"","keywords":"Divergence (linguistics); Isometry (Riemannian geometry); Mathematics; Function (biology); Subsequence; Combinatorics; Pure mathematics; Mathematical analysis; Evolutionary biology; Biology; Philosophy","score_opus":0.04085687589990207,"score_gpt":0.2813575921899902,"score_spread":0.24050071629008812,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2802919785","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98381364,0.00066982454,0.0023399258,0.008155549,0.00029634693,0.00089120277,0.0000711883,0.00008176489,0.003680527],"genre_scores_gemma":[0.9844687,0.0002532081,0.014628811,0.0001785034,0.00019530315,0.000048270613,0.0000036131062,0.000059029073,0.00016457577],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962469,0.000054454897,0.0014240425,0.00075817393,0.0010258951,0.0004905395],"domain_scores_gemma":[0.9958877,0.0016378183,0.0011941665,0.000508443,0.00055076956,0.00022111805],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012013904,0.0005709031,0.0019136275,0.00010867359,0.00015571906,0.000071138005,0.0011172179,0.000873577,0.00007069913],"category_scores_gemma":[0.003996064,0.0004006616,0.001136798,0.00073737337,0.0016304814,0.000114598435,0.0035765888,0.0014042616,0.0000022548963],"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":[0.000097021264,0.0018192283,0.0029476618,0.021706123,0.0012179703,0.00000322536,0.001868573,0.0000022769905,0.0038844561,0.9612637,0.0049014976,0.00028827268],"study_design_scores_gemma":[0.0010336055,0.00012849516,0.00086372194,0.0012804485,0.00068479736,0.000052558225,0.001198229,0.0009811074,0.003983188,0.98930424,0.000015399215,0.00047423455],"about_ca_topic_score_codex":0.000010742227,"about_ca_topic_score_gemma":1.4428122e-7,"teacher_disagreement_score":0.02804052,"about_ca_system_score_codex":0.0000789953,"about_ca_system_score_gemma":0.00010408686,"threshold_uncertainty_score":0.99984455},"labels":[],"label_agreement":null},{"id":"W2904419586","doi":"10.1017/s0305004119000458","title":"Lower Assouad Dimension of Measures and Regularity","year":2019,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":8,"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":"Dimension (graph theory); Measure (data warehouse); Infimum and supremum; Upper and lower bounds; Class (philosophy); Bernoulli's principle","score_opus":0.025464894755734963,"score_gpt":0.2592944330561829,"score_spread":0.23382953830044792,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2904419586","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9760191,0.00005181102,0.0005479795,0.004255381,0.00007603105,0.0007893654,0.000020911113,0.000054095653,0.018185364],"genre_scores_gemma":[0.9889168,0.000015372583,0.010474534,0.00014889645,0.000059139024,0.000012745471,5.867896e-7,0.000043641892,0.00032827223],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99739903,0.000021596701,0.0008966755,0.00038311124,0.00096075644,0.00033884848],"domain_scores_gemma":[0.99780655,0.00073382165,0.0005415056,0.00038445203,0.00037804426,0.00015561061],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013892809,0.00030436018,0.00091099885,0.00002832467,0.00009134159,0.00003445705,0.0004865415,0.0003142212,0.00006260167],"category_scores_gemma":[0.0013313466,0.00019089069,0.0006077847,0.0002712749,0.0005405801,0.00014263303,0.0005683059,0.00046525843,0.000011395053],"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":[0.000033594755,0.0004894568,0.00047203357,0.00249851,0.000111393056,1.7455966e-7,0.00026890467,2.7638376e-7,0.023239266,0.9718269,0.0009955221,0.00006397584],"study_design_scores_gemma":[0.00049673603,0.00012215413,0.00062037347,0.000549898,0.00014764063,0.000017225968,0.00011064517,0.0060035847,0.004909113,0.9867402,0.00005121961,0.0002312574],"about_ca_topic_score_codex":0.0000018770141,"about_ca_topic_score_gemma":6.535652e-8,"teacher_disagreement_score":0.018330153,"about_ca_system_score_codex":0.000046027635,"about_ca_system_score_gemma":0.0000200813,"threshold_uncertainty_score":0.7784296},"labels":[],"label_agreement":null},{"id":"W2962625294","doi":"10.1017/s0305004120000213","title":"Zeros of the Epstein zeta function to the right of the critical line","year":2020,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","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":"York University","funders":"","keywords":"Sigma; Combinatorics; Mathematics; Discriminant; Function (biology); Field (mathematics); Rectangle; Physics; Pure mathematics; Geometry; Quantum mechanics","score_opus":0.06353087873856758,"score_gpt":0.31392661652439474,"score_spread":0.25039573778582713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962625294","genre_codex":"commentary","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.485437,0.00006249914,0.0039608325,0.49549207,0.00023999561,0.0026715393,0.00011601165,0.00008498259,0.011935052],"genre_scores_gemma":[0.99570495,0.000002833142,0.0011250351,0.0021640477,0.0004328779,0.00004397186,3.6158727e-7,0.000057883513,0.00046806582],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958178,0.00013433862,0.0011896164,0.00043527732,0.001922509,0.0005004534],"domain_scores_gemma":[0.99587506,0.0018665589,0.0004896039,0.00078720227,0.0007451223,0.00023644876],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0020789353,0.0003489577,0.0008007217,0.000017401315,0.00038339352,0.000046530655,0.002664709,0.00026129326,0.00012940318],"category_scores_gemma":[0.0100108115,0.00014386329,0.0013609034,0.001171185,0.0019429523,0.00010882621,0.0019748781,0.0011532321,0.00002934845],"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":[0.00010190204,0.00036722864,0.0001337638,0.0016443229,0.00018757793,1.3736668e-7,0.0011362085,0.000005177419,0.018766413,0.9625059,0.015120448,0.000030964246],"study_design_scores_gemma":[0.0004380701,0.00018511461,0.0002967479,0.0004975616,0.0004887749,0.000013651146,0.0005148699,0.004681341,0.049042366,0.9432403,0.00039964737,0.00020155153],"about_ca_topic_score_codex":0.0000034242346,"about_ca_topic_score_gemma":2.1439264e-7,"teacher_disagreement_score":0.5102679,"about_ca_system_score_codex":0.000080101214,"about_ca_system_score_gemma":0.000089050256,"threshold_uncertainty_score":0.99832827},"labels":[],"label_agreement":null},{"id":"W2962914818","doi":"10.1017/s0305004113000510","title":"Metabelian SL(<i>n</i>, ) representations of knot groups IV: twisted Alexander polynomials","year":2013,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Alexander polynomial; Knot (papermaking); Mathematics; Tensor product; Knot polynomial; Pure mathematics; Algebra over a field; Combinatorics; Knot theory; Skein relation","score_opus":0.04008795781058019,"score_gpt":0.28426439023344247,"score_spread":0.24417643242286227,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962914818","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93064815,0.00011510194,0.0012302686,0.030336626,0.00016052429,0.0015566169,0.00003843408,0.00014611715,0.035768148],"genre_scores_gemma":[0.98497814,0.0000125468205,0.012703119,0.0004655862,0.0002227538,0.00010542934,0.0000021005433,0.000052718362,0.001457598],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968884,0.000039474373,0.001317714,0.0004502584,0.0007895571,0.0005145886],"domain_scores_gemma":[0.99685204,0.0011334309,0.00077800016,0.00045022633,0.000566489,0.00021982104],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008238562,0.00035245053,0.0010148584,0.00008900957,0.00018091466,0.00004582464,0.0008922282,0.0003343061,0.000595411],"category_scores_gemma":[0.0025490557,0.00023238084,0.00093739433,0.0010273332,0.0010280318,0.00024408668,0.0005321053,0.00049426965,0.00005685197],"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":[0.000012943443,0.0006320337,0.00059230905,0.000905906,0.0003093975,1.981616e-7,0.0005215013,5.823813e-7,0.021503236,0.9422922,0.033120792,0.000108900305],"study_design_scores_gemma":[0.0008476372,0.00009145008,0.0023652862,0.0001339671,0.0003132568,0.000029212957,0.00064546923,0.00060312625,0.012995596,0.9815895,0.00010097316,0.0002845492],"about_ca_topic_score_codex":0.000027385731,"about_ca_topic_score_gemma":1.5035265e-7,"teacher_disagreement_score":0.054329984,"about_ca_system_score_codex":0.000057326128,"about_ca_system_score_gemma":0.000041432002,"threshold_uncertainty_score":0.9476216},"labels":[],"label_agreement":null},{"id":"W2962938328","doi":"10.1017/s0305004117000780","title":"On the typical size and cancellations among the coefficients of some modular forms","year":2018,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number Theory Research","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":"McGill University","funders":"Macquarie University; National Science Foundation","keywords":"Mathematics; Modular form; Multiplicative function; Holomorphic function; Ramanujan's sum; Cusp (singularity); Logarithm; Fourier series; Combinatorics; Number theory; Pure mathematics; Central limit theorem; Smoothness; Natural density; Coprime integers; Elliptic curve; Upper and lower bounds; Mathematical analysis; Statistics","score_opus":0.03827192166150093,"score_gpt":0.2975194869199213,"score_spread":0.25924756525842035,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962938328","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9690004,0.0000146878565,0.0004177004,0.019457325,0.000035805133,0.0008386423,0.000018456383,0.000032531818,0.010184422],"genre_scores_gemma":[0.99829125,0.0000057289376,0.00050400035,0.00045812223,0.00020532768,0.00003643585,2.3632663e-7,0.00003688853,0.0004620171],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976026,0.00004506466,0.0006060526,0.0003122322,0.0010357354,0.00039835888],"domain_scores_gemma":[0.9954678,0.0032126263,0.0003263924,0.0004629398,0.00040490984,0.0001253577],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0019538042,0.00024254374,0.0004503501,0.000017053586,0.00049769663,0.00005213235,0.0009667814,0.00017740022,0.00008911446],"category_scores_gemma":[0.004157948,0.00010487581,0.00039948392,0.00041577648,0.0038402963,0.00009969799,0.0006029298,0.00061123166,0.000016011389],"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":[0.00005254749,0.00022637137,0.00019394486,0.0002547156,0.00011926779,8.641874e-8,0.0006343084,0.000001056736,0.001307978,0.9943661,0.0028246115,0.000019017389],"study_design_scores_gemma":[0.00030733072,0.000116101386,0.0012057389,0.00020373211,0.000113374575,0.0000061241944,0.00038653592,0.009604203,0.0036393784,0.98426414,0.000027363725,0.00012598935],"about_ca_topic_score_codex":0.0000034105701,"about_ca_topic_score_gemma":2.6868636e-7,"teacher_disagreement_score":0.029290814,"about_ca_system_score_codex":0.0000682624,"about_ca_system_score_gemma":0.00003578065,"threshold_uncertainty_score":0.9988707},"labels":[],"label_agreement":null},{"id":"W2963392009","doi":"10.1017/s0305004116000177","title":"<i>Tb</i> theorem on product spaces","year":2016,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Harmonic Analysis 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":"Toronto Metropolitan University","funders":"National Science Council","keywords":"Product (mathematics); Mathematics; Combinatorics; Discrete mathematics; Pure mathematics; Geometry","score_opus":0.05372670101753675,"score_gpt":0.31777569890956425,"score_spread":0.2640489978920275,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963392009","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63133824,0.00011838513,0.0057564727,0.24312285,0.00021193652,0.0024944153,0.000077855715,0.0005345116,0.11634535],"genre_scores_gemma":[0.99005276,0.000035812922,0.005903279,0.00043820226,0.00038970337,0.00007034625,3.2871625e-7,0.000078994395,0.0030305937],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99638844,0.000037377875,0.0007441034,0.00064682646,0.0015279627,0.00065531046],"domain_scores_gemma":[0.9969575,0.0013616416,0.00042244812,0.000585069,0.0004488947,0.00022447227],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014338924,0.00039325943,0.0007343834,0.000044759876,0.00024806854,0.000053102885,0.0012207398,0.00018263259,0.00012688308],"category_scores_gemma":[0.004043801,0.00018232329,0.0009254215,0.0005771304,0.0011502575,0.00021705421,0.0006053427,0.00055961247,0.00011274526],"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":[0.000059100366,0.00040575577,0.000105678984,0.0003953624,0.00015266128,4.718426e-7,0.0001253333,2.8864187e-7,0.025749315,0.9558681,0.016582008,0.000555925],"study_design_scores_gemma":[0.0005429621,0.00009766894,0.000059438484,0.00046527424,0.000104146566,0.000012576008,0.000087183704,0.00018796296,0.046995837,0.95045847,0.0007236854,0.00026480132],"about_ca_topic_score_codex":5.430657e-7,"about_ca_topic_score_gemma":4.2155058e-8,"teacher_disagreement_score":0.35871452,"about_ca_system_score_codex":0.00019067129,"about_ca_system_score_gemma":0.00004488659,"threshold_uncertainty_score":0.7434928},"labels":[],"label_agreement":null},{"id":"W2964032826","doi":"10.1017/s0305004116000761","title":"The A-T-menability of some graphs of groups with cyclic edge groups","year":2016,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Combinatorics; Vertex (graph theory); Mathematics; Enhanced Data Rates for GSM Evolution; Cyclic group; Group (periodic table); Graph; Computer science; Physics; Telecommunications; Abelian group","score_opus":0.02328595401721643,"score_gpt":0.25179342292525925,"score_spread":0.22850746890804283,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964032826","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97728324,0.00009443901,0.00054573995,0.018529925,0.00007616319,0.00070766464,0.0000300597,0.00005626173,0.0026765096],"genre_scores_gemma":[0.9974328,0.00004070615,0.0020394614,0.00010628473,0.00012682992,0.000047068454,2.9702966e-7,0.000041858322,0.00016468125],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99688554,0.00004263127,0.0011963045,0.00040985676,0.0009381054,0.00052759313],"domain_scores_gemma":[0.9951415,0.002701552,0.0009631617,0.00055834994,0.00048226834,0.0001531397],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0017016693,0.00034543403,0.0009407408,0.000050321403,0.00021367973,0.000015701671,0.0011637036,0.00027243077,0.000028405102],"category_scores_gemma":[0.0025641993,0.00014072347,0.0008060143,0.0007798338,0.003337945,0.00017790376,0.00051915046,0.00038072834,0.000005034589],"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":[0.00008105737,0.0005279411,0.0015024246,0.0010677148,0.0002124622,1.5400774e-7,0.00027219192,5.2061775e-8,0.006958652,0.9878333,0.0013083542,0.00023566495],"study_design_scores_gemma":[0.0008563063,0.00028199086,0.0024203716,0.00029079017,0.00017886682,0.000019005205,0.0003065962,0.000027706315,0.013490057,0.98190004,0.000036229325,0.0001920171],"about_ca_topic_score_codex":0.000002864515,"about_ca_topic_score_gemma":1.9993314e-7,"teacher_disagreement_score":0.020149576,"about_ca_system_score_codex":0.00006958526,"about_ca_system_score_gemma":0.000048905076,"threshold_uncertainty_score":0.9993744},"labels":[],"label_agreement":null},{"id":"W2964075837","doi":"10.1017/s0305004113000030","title":"Colimits of accessible categories","year":2013,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","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":"Dalhousie University","funders":"","keywords":"Computer science; Algebra over a field; Pure mathematics; Mathematics","score_opus":0.03636758002572194,"score_gpt":0.2841699331919702,"score_spread":0.24780235316624827,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964075837","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9390261,0.000038576585,0.00024364544,0.016995078,0.00012254209,0.0007727499,0.000009677746,0.00008803754,0.042703584],"genre_scores_gemma":[0.992424,0.000008446018,0.0062588546,0.0003791013,0.00015883955,0.00010790511,5.8096646e-7,0.000033753277,0.00062850496],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978888,0.000025109879,0.0008730128,0.0003011597,0.0004964961,0.00041539446],"domain_scores_gemma":[0.99793386,0.0006461714,0.0005242785,0.00030537072,0.0004610748,0.00012924966],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005388228,0.0002677581,0.0007488116,0.00002933608,0.00015542578,0.000027822842,0.00097386545,0.00037925897,0.00031479748],"category_scores_gemma":[0.0010999421,0.00017096398,0.0005492005,0.00039153584,0.0015056087,0.00021299161,0.0005243736,0.00048359012,0.00004087071],"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":[0.000010896124,0.00034689717,0.00074117066,0.0009720789,0.00012283912,1.7895579e-7,0.0004199976,1.080941e-7,0.0069926176,0.9784688,0.01184461,0.00007980644],"study_design_scores_gemma":[0.00033435386,0.00008853072,0.0011177915,0.00010637084,0.0001080557,0.000029458348,0.0002798536,0.0002249743,0.030484432,0.96700895,0.00004666134,0.00017054938],"about_ca_topic_score_codex":0.000009038162,"about_ca_topic_score_gemma":9.896375e-8,"teacher_disagreement_score":0.053397905,"about_ca_system_score_codex":0.00004072849,"about_ca_system_score_gemma":0.000045385714,"threshold_uncertainty_score":0.6971709},"labels":[],"label_agreement":null},{"id":"W2967933855","doi":"10.1017/s0305004119000288","title":"On the bivariate Erdős–Kac theorem and correlations of the Möbius function","year":2019,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number 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":"University of Toronto","funders":"","keywords":"Mathematics; Combinatorics; Integer (computer science); Conjecture; Binary number; Bivariate analysis; Function (biology); Möbius function; Number theory; Prime (order theory); Discrete mathematics; Distribution (mathematics); Statistics; Arithmetic; Mathematical analysis","score_opus":0.03582304222373227,"score_gpt":0.2749575680252249,"score_spread":0.23913452580149264,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2967933855","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9193052,0.000020653826,0.00059937243,0.031525362,0.00013750716,0.0014553207,0.000022776047,0.000052889704,0.046880897],"genre_scores_gemma":[0.9973464,0.0000051013967,0.00039366158,0.00047056313,0.000103350016,0.000030001938,4.0902563e-7,0.000044352517,0.0016061683],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99751425,0.0000837514,0.0006434904,0.00033854847,0.0010692058,0.0003507367],"domain_scores_gemma":[0.99556977,0.0029703984,0.0004678038,0.00057889684,0.00031794902,0.00009521331],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021786394,0.0002710834,0.00049273897,0.000025103338,0.00032623764,0.00005114766,0.0009292625,0.00022079037,0.00018779136],"category_scores_gemma":[0.0023780502,0.00012101302,0.000606323,0.000555673,0.0011178057,0.000106769294,0.00070156367,0.0008793448,0.000049349834],"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":[0.00006107139,0.00021038436,0.0005818104,0.0004543232,0.00016310539,4.051197e-8,0.00043622855,0.0000024035453,0.0018904002,0.9930995,0.003077295,0.000023435066],"study_design_scores_gemma":[0.00039766668,0.000095297844,0.001330072,0.0003311372,0.00019928877,0.000010698962,0.00040660248,0.005229781,0.0011204476,0.9906851,0.000054489938,0.0001394047],"about_ca_topic_score_codex":0.0000027531316,"about_ca_topic_score_gemma":1.060022e-7,"teacher_disagreement_score":0.07804117,"about_ca_system_score_codex":0.000060899598,"about_ca_system_score_gemma":0.00004426017,"threshold_uncertainty_score":0.49347678},"labels":[],"label_agreement":null},{"id":"W2998174245","doi":"10.1017/s0305004122000020","title":"Step roots of Littlewood polynomials and the extrema of functions in the Takagi class","year":2022,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Mathematical Dynamics and Fractals","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":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Maxima and minima; Polynomial; Combinatorics; Closure (psychology); Degree (music); Class (philosophy); Interval (graph theory); Hausdorff dimension; Corollary; Pure mathematics; Discrete mathematics; Mathematical analysis","score_opus":0.028854090146544203,"score_gpt":0.2600199173970902,"score_spread":0.231165827250546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2998174245","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9393956,0.00018491113,0.0007683507,0.034886874,0.0000848253,0.0019825923,0.00015056413,0.00003149427,0.022514805],"genre_scores_gemma":[0.99755263,0.000010321653,0.0016291825,0.00034800658,0.000078665944,0.0001735693,0.0000013498051,0.000034967037,0.00017127722],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99667096,0.00014121253,0.0013884893,0.0003098433,0.0011403522,0.00034914463],"domain_scores_gemma":[0.9949974,0.003397406,0.00087067997,0.00046959738,0.00019007547,0.000074848234],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004319072,0.00028297195,0.0009782589,0.000045228604,0.0002984223,0.000035771678,0.0011350723,0.0001467003,0.000081239945],"category_scores_gemma":[0.0020052376,0.00014101088,0.0007330136,0.00066622335,0.0014219437,0.0000885795,0.0008937542,0.000817256,0.0000014299007],"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":[0.00009459862,0.0007906738,0.00013905142,0.0012798525,0.00011492082,2.6726778e-7,0.0014005553,0.000003712051,0.0015658429,0.99246705,0.0020716207,0.00007184506],"study_design_scores_gemma":[0.0014241829,0.00012572938,0.0004930908,0.00017637336,0.00025608586,0.00004469953,0.0028823926,0.016521472,0.00026282994,0.9775072,0.00013321855,0.00017274811],"about_ca_topic_score_codex":0.000010513066,"about_ca_topic_score_gemma":5.1651574e-7,"teacher_disagreement_score":0.05815708,"about_ca_system_score_codex":0.00005938558,"about_ca_system_score_gemma":0.00004150189,"threshold_uncertainty_score":0.5750257},"labels":[],"label_agreement":null},{"id":"W3007604789","doi":"10.1017/s0305004121000256","title":"Sphere tangencies, line incidences and Lie’s line-sphere correspondence","year":2021,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Computational Geometry and Mesh Generation","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":"Isomorphism (crystallography); SPHERES; Incidence (geometry); Mathematics; Line (geometry); Combinatorics; Geometry; Physics; Crystallography","score_opus":0.03191924192922762,"score_gpt":0.2576296744207331,"score_spread":0.22571043249150546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3007604789","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7927133,0.0034520698,0.15384503,0.043865953,0.0009870906,0.0012092468,0.00004348762,0.00027629704,0.0036075416],"genre_scores_gemma":[0.91595644,0.0002087568,0.08157194,0.0009609554,0.000658251,0.0000584964,0.000008860623,0.00002683923,0.00054944615],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965501,0.0000410774,0.00084493996,0.0009568826,0.0012304846,0.000376518],"domain_scores_gemma":[0.9974235,0.00040789272,0.00059382844,0.00047205127,0.0008715249,0.00023119265],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00097429927,0.00046187,0.0007253449,0.00003513092,0.00028741956,0.00054694345,0.0018916364,0.0005255043,0.0000373057],"category_scores_gemma":[0.00087551406,0.00034445184,0.0005658747,0.0007437861,0.00045064322,0.00041278347,0.004826685,0.0011801358,0.000008765407],"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":[0.000040490384,0.0006745258,0.00023673203,0.0046856464,0.0003221494,0.000008456017,0.0025349802,0.0010578878,0.008317939,0.9702908,0.0065643345,0.005266062],"study_design_scores_gemma":[0.00036605462,0.0001585395,0.0006478813,0.0014811193,0.00014609676,0.00012040772,0.00032247382,0.28825313,0.008227121,0.69924825,0.00030661206,0.0007223109],"about_ca_topic_score_codex":0.000008085209,"about_ca_topic_score_gemma":8.9021256e-7,"teacher_disagreement_score":0.28719527,"about_ca_system_score_codex":0.00011981292,"about_ca_system_score_gemma":0.0003640218,"threshold_uncertainty_score":0.99990076},"labels":[],"label_agreement":null},{"id":"W3045770427","doi":"10.1017/s0305004121000712","title":"Asymptotics of sloshing eigenvalues for a triangular prism","year":2021,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Mathematical Modeling in Engineering","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":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Montréal; Universities Space Research Association","keywords":"Eigenvalues and eigenvectors; Asymptotic expansion; Mathematical analysis; Slosh dynamics; Mathematics; Asymptotic formula; Perturbation (astronomy); Physics; Geometry; Quantum mechanics","score_opus":0.025830814638602942,"score_gpt":0.25416643228664776,"score_spread":0.22833561764804483,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3045770427","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.031491395,0.00012890164,0.9596065,0.0062993052,0.00011714186,0.00048281634,0.000006892101,0.0001252568,0.0017417612],"genre_scores_gemma":[0.47810218,0.0000073795504,0.52150565,0.00016409837,0.00010083922,0.00003210501,5.1367493e-7,0.000027510177,0.000059761773],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99772775,0.000010289513,0.00081586296,0.000414421,0.0006526216,0.000379038],"domain_scores_gemma":[0.9979765,0.0006502659,0.00032442014,0.00043701788,0.00048377583,0.00012806442],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007430431,0.00024292352,0.0006243308,0.00002366626,0.0001194094,0.000059509923,0.0012055243,0.00018750802,0.0000022504273],"category_scores_gemma":[0.0022279453,0.00018004738,0.00075264,0.0004894335,0.00021426081,0.00028954013,0.0007427787,0.00031940904,0.000001995291],"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":[0.000004765578,0.00020561152,0.0000065401446,0.0013698065,0.00007602594,3.234864e-7,0.00038684963,0.0002011256,0.024787508,0.97253275,0.00019479962,0.00023386993],"study_design_scores_gemma":[0.0003365036,0.000038823237,0.000012750893,0.00029769682,0.00005206712,0.000016382628,0.000041590403,0.28755587,0.06104549,0.6504047,0.000041561816,0.0001565926],"about_ca_topic_score_codex":1.6035955e-7,"about_ca_topic_score_gemma":4.1662105e-9,"teacher_disagreement_score":0.44661078,"about_ca_system_score_codex":0.00006546752,"about_ca_system_score_gemma":0.000060115883,"threshold_uncertainty_score":0.7342119},"labels":[],"label_agreement":null},{"id":"W3091896116","doi":"10.1017/s0305004123000208","title":"Relatively hyperbolic groups with strongly shortcut parabolics are strongly shortcut","year":2023,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"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":"Instytut Matematyczny, Polskiej Akademii Nauk; Ministerstwo Edukacji i Nauki; Natural Sciences and Engineering Research Council of Canada; Narodowe Centrum Nauki; Indo-French Centre for the Promotion of Advanced Research; Simons Foundation; Israel Science Foundation; Tata Institute of Fundamental Research","keywords":"Regular polygon; Mathematics; Graph; Group (periodic table); Pure mathematics; Combinatorics; Geometry; Physics","score_opus":0.04718493097837065,"score_gpt":0.2764010057266049,"score_spread":0.22921607474823427,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3091896116","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9682543,0.000050845614,0.0006248783,0.0148786865,0.00011103193,0.0009817621,0.00006692261,0.0004843578,0.014547199],"genre_scores_gemma":[0.9932207,0.00002697044,0.0046614343,0.00022062435,0.00046667655,0.00011184594,0.0000056403564,0.00012680572,0.001159306],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9957296,0.000039241866,0.00105551,0.0007605857,0.0013723539,0.0010426628],"domain_scores_gemma":[0.9970623,0.00094536995,0.0006987543,0.0005027205,0.0004400471,0.00035075386],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011133286,0.0006217679,0.0012464287,0.00013132654,0.00040509208,0.00007745489,0.0011617116,0.000506825,0.00005632059],"category_scores_gemma":[0.0014731354,0.00039438094,0.0007814902,0.0021992158,0.0012601437,0.00025889487,0.00070090895,0.0012033997,0.000092483206],"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":[0.0000594946,0.00043184127,0.004656874,0.00076604064,0.00034506014,0.0000047045723,0.0006779962,0.00001197432,0.00033525756,0.98144907,0.011177651,0.00008402788],"study_design_scores_gemma":[0.0013568928,0.00036695038,0.016133806,0.0004531758,0.0005142632,0.00012085359,0.0025352025,0.003302001,0.00078064104,0.9732402,0.00040825506,0.0007877423],"about_ca_topic_score_codex":0.0000033465797,"about_ca_topic_score_gemma":5.003571e-7,"teacher_disagreement_score":0.02496638,"about_ca_system_score_codex":0.00013392477,"about_ca_system_score_gemma":0.00007590451,"threshold_uncertainty_score":0.9998508},"labels":[],"label_agreement":null},{"id":"W3101027143","doi":"10.1017/s0305004109002539","title":"Completely positive maps into corona algebras","year":2009,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra 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 New Brunswick","funders":"","keywords":"Duality (order theory); Constructive; Mathematics; Constructive proof; Dual (grammatical number); Pure mathematics; Corona (planetary geology); Algebra over a field; Discrete mathematics; Physics; Computer science; Philosophy; Linguistics","score_opus":0.04284237687357648,"score_gpt":0.3194671552351955,"score_spread":0.276624778361619,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3101027143","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87074965,0.00012276208,0.0023772244,0.074406125,0.00011514497,0.0022505173,0.000080274935,0.0004018449,0.049496464],"genre_scores_gemma":[0.958264,0.0000098232995,0.039519195,0.0015173105,0.00029244635,0.00005359007,0.0000035209537,0.00006744529,0.0002726479],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962761,0.00003655072,0.00091883866,0.00059675024,0.0014466039,0.0007251855],"domain_scores_gemma":[0.9975364,0.00070044695,0.00034873997,0.0004357688,0.00064606505,0.00033258536],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00093685696,0.00046912735,0.0008595099,0.000043706747,0.00042316288,0.00009500645,0.0013132443,0.00031096226,0.00007627878],"category_scores_gemma":[0.0016227512,0.00032049464,0.00079681666,0.00066723226,0.0008853947,0.00032872884,0.0005567021,0.0010365385,0.00006106184],"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":[0.000057456855,0.0005491406,0.00005721121,0.00040480445,0.00009322486,0.0000014559018,0.000574133,5.190601e-7,0.015675671,0.9722157,0.009998324,0.00037232402],"study_design_scores_gemma":[0.0006670605,0.0002738932,0.00058615615,0.0002693709,0.00008625972,0.000043105952,0.00019698337,0.0007685004,0.016348701,0.98029953,0.00010006688,0.0003603701],"about_ca_topic_score_codex":0.000001876845,"about_ca_topic_score_gemma":9.709036e-8,"teacher_disagreement_score":0.08751438,"about_ca_system_score_codex":0.00026853385,"about_ca_system_score_gemma":0.000058937097,"threshold_uncertainty_score":0.9999247},"labels":[],"label_agreement":null},{"id":"W3112676342","doi":"10.1017/s0305004120000304","title":"The factorisation property of<i>l</i><sup>∞</sup>(<i>X<sub>k</sub></i>)","year":2020,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Banach Space 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":"York University","funders":"Austrian Science Fund; University of Cambridge; National Science Foundation","keywords":"Banach space; Combinatorics; Bounded function; Diagonal; Mathematics; Bounded operator; Operator (biology); Identity (music); Factorization; Linear operators; Space (punctuation); Physics; Discrete mathematics; Mathematical analysis; Geometry; Computer science; Algorithm","score_opus":0.03896037292660267,"score_gpt":0.2600091679656438,"score_spread":0.2210487950390411,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3112676342","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90998334,0.00012968018,0.0053788447,0.073783316,0.000093456634,0.002183615,0.0000576375,0.00033458424,0.008055551],"genre_scores_gemma":[0.99404144,0.00005053171,0.004491413,0.0007452324,0.00042908563,0.00006695967,0.000001350725,0.00009796876,0.000076007374],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964877,0.000056433415,0.0011466617,0.0005003971,0.0012397636,0.0005690627],"domain_scores_gemma":[0.99662954,0.001320465,0.0008118055,0.00044383397,0.0005268655,0.00026747503],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011858874,0.00045887716,0.00083377404,0.00001792703,0.00041144897,0.000059466318,0.0012804453,0.00029055824,0.000009912025],"category_scores_gemma":[0.004491139,0.00022476661,0.000918228,0.0006353997,0.0012608889,0.00028941597,0.00069332897,0.000889836,0.000025065803],"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":[0.0001623956,0.00034674813,0.00010200144,0.0020656202,0.00025883463,4.2252637e-7,0.0029018593,0.000028568636,0.10874217,0.87114334,0.013665696,0.0005823411],"study_design_scores_gemma":[0.00061873207,0.00015896598,0.00003739176,0.00023661341,0.00021385722,0.000010851789,0.0009617207,0.008787745,0.13941567,0.8487526,0.00046411066,0.0003417137],"about_ca_topic_score_codex":9.1332197e-7,"about_ca_topic_score_gemma":5.857001e-8,"teacher_disagreement_score":0.084058136,"about_ca_system_score_codex":0.000117872914,"about_ca_system_score_gemma":0.000065851935,"threshold_uncertainty_score":0.9165717},"labels":[],"label_agreement":null},{"id":"W3193430315","doi":"10.1017/s0305004123000270","title":"Zariski dense orbits for regular self-maps of split semiabelian varieties in positive characteristic","year":2023,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic Geometry and Number Theory","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":"Conjecture; Mathematics; Orbit (dynamics); Pure mathematics; Engineering","score_opus":0.02574134620142995,"score_gpt":0.26951602397019647,"score_spread":0.24377467776876652,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3193430315","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9892314,0.000024309053,0.0004474222,0.0061472594,0.000101891615,0.001329978,0.00018342344,0.000250975,0.0022833527],"genre_scores_gemma":[0.988742,0.000015799505,0.010264135,0.00017029325,0.0001532056,0.00012611478,0.000012501776,0.0000728098,0.00044316053],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972778,0.000035105466,0.0010417099,0.0004354691,0.0006560152,0.0005538941],"domain_scores_gemma":[0.99688554,0.0017006727,0.00054703525,0.00031375268,0.00041590183,0.00013709597],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0021649082,0.00035527165,0.00093522755,0.00009152136,0.00016756603,0.0000316174,0.00067658286,0.00039087664,0.000015668047],"category_scores_gemma":[0.002499174,0.00026417858,0.00070046,0.0011026904,0.0005084814,0.00015487682,0.00043778075,0.00050830975,0.000017875012],"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":[0.00011317946,0.0005394658,0.0002483885,0.004294874,0.00020795332,0.0000011796557,0.002552253,7.4685545e-7,0.0036165067,0.9824903,0.005905696,0.000029469364],"study_design_scores_gemma":[0.0007900025,0.00012615552,0.0008169092,0.0005740401,0.0002162172,0.00001818342,0.00053650804,0.0019322411,0.008611353,0.98604196,0.00005804208,0.0002783994],"about_ca_topic_score_codex":0.0000019095007,"about_ca_topic_score_gemma":5.0621964e-8,"teacher_disagreement_score":0.009816713,"about_ca_system_score_codex":0.00010770223,"about_ca_system_score_gemma":0.000050695904,"threshold_uncertainty_score":0.99998105},"labels":[],"label_agreement":null},{"id":"W3196284004","doi":"10.1017/s030500412200010x","title":"Sums of random multiplicative functions over function fields with few irreducible factors","year":2022,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","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 Toronto; Université Laval","funders":"","keywords":"Multiplicative function; Mathematics; Limiting; Parallels; Multiplicative inverse; Finite field; Function (biology); Distribution (mathematics); Random function; Random variable; Discrete mathematics; Combinatorics; Pure mathematics; Inverse; Statistics; Mathematical analysis","score_opus":0.04837073895628951,"score_gpt":0.2947393721547376,"score_spread":0.2463686331984481,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3196284004","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9752416,0.00002281482,0.004516356,0.0040906533,0.00007408866,0.0011553832,0.00008354431,0.00009441244,0.014721167],"genre_scores_gemma":[0.996828,0.0000021885007,0.0010607651,0.000105839616,0.000090843496,0.00015745847,0.0000043531804,0.00005366276,0.0016968822],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970936,0.000058868056,0.00068615255,0.00043553466,0.0013317409,0.00039408606],"domain_scores_gemma":[0.9973152,0.0012438312,0.00050956267,0.00041172,0.00037001338,0.00014962454],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012699653,0.0002923259,0.00069891,0.000054387117,0.00047762608,0.00002695677,0.00071599445,0.00014170501,0.00047964876],"category_scores_gemma":[0.00074679556,0.00018284451,0.0006893205,0.00084110117,0.0007356353,0.00014965507,0.000699851,0.0009408978,0.000005830262],"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":[0.0008821029,0.0013647823,0.0033584454,0.0013580644,0.0008615871,4.2348077e-7,0.002177942,0.000029267154,0.006178462,0.9671585,0.016583899,0.000046531408],"study_design_scores_gemma":[0.0026067186,0.0005685842,0.0011151097,0.00015993172,0.0005703031,0.00002452501,0.004543344,0.0038897076,0.0055848113,0.98033273,0.00022356439,0.0003806778],"about_ca_topic_score_codex":0.000011625111,"about_ca_topic_score_gemma":2.819751e-7,"teacher_disagreement_score":0.021586427,"about_ca_system_score_codex":0.00016691945,"about_ca_system_score_gemma":0.00007628395,"threshold_uncertainty_score":0.7456182},"labels":[],"label_agreement":null},{"id":"W4377823608","doi":"10.1017/s0305004123000294","title":"Sign changes of fourier coefficients of holomorphic cusp forms at norm form arguments","year":2023,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"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":"Queen's University","keywords":"Combinatorics; Mathematics; Multiplicative function; Lambda; Sign (mathematics); Holomorphic function; Norm (philosophy); Mathematical analysis; Physics; Quantum mechanics","score_opus":0.06624115759203791,"score_gpt":0.3176468757849195,"score_spread":0.2514057181928816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4377823608","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9791301,0.000014705611,0.00032971683,0.005687829,0.000056914127,0.0011338083,0.00010919152,0.00010769126,0.013430041],"genre_scores_gemma":[0.99611807,0.00002190719,0.0014209556,0.00009764834,0.000093129165,0.00006361784,0.0000052801006,0.00008120439,0.0020981713],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99570984,0.000026698828,0.001104723,0.00043538763,0.001998621,0.0007247572],"domain_scores_gemma":[0.9968247,0.0009906153,0.00081767334,0.0005054162,0.0006366036,0.00022498572],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025872348,0.00037324225,0.0010725377,0.00010220893,0.00020323283,0.000020082003,0.0012537051,0.00032382604,0.00013683684],"category_scores_gemma":[0.0018057793,0.00024237312,0.00082993077,0.0012369817,0.0013048012,0.00013192777,0.0015107952,0.0004731679,0.00007002795],"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":[0.00020577958,0.0012477993,0.0015179719,0.0073742256,0.00062406267,0.0000017489904,0.0020732554,0.000003105878,0.029603848,0.94190603,0.015230836,0.00021131255],"study_design_scores_gemma":[0.0010619373,0.00024559002,0.00033445578,0.00059913826,0.00023960484,0.000015075368,0.00053296867,0.0051811696,0.053882696,0.93753517,0.0000837604,0.00028842394],"about_ca_topic_score_codex":0.0000026523524,"about_ca_topic_score_gemma":3.2446547e-7,"teacher_disagreement_score":0.024278846,"about_ca_system_score_codex":0.00017977727,"about_ca_system_score_gemma":0.000046328307,"threshold_uncertainty_score":0.98836887},"labels":[],"label_agreement":null},{"id":"W4386477833","doi":"10.1017/s0305004123000427","title":"Dirichlet law for factorisation of integers, polynomials and permutations","year":2023,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","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":"Université de Montréal","funders":"","keywords":"Mathematics; Dirichlet distribution; Integer (computer science); Combinatorics; Factorization; Distribution (mathematics); Dirichlet series; Pure mathematics; Mathematical analysis; Algorithm; Computer science","score_opus":0.08526529668511318,"score_gpt":0.349296180816735,"score_spread":0.26403088413162185,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386477833","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9624859,0.00002244414,0.0032790054,0.021129439,0.00006739371,0.0016304206,0.00016916665,0.00016022824,0.011056014],"genre_scores_gemma":[0.9956391,0.0000066622815,0.0035963994,0.00009642453,0.00012766919,0.000074026975,0.0000037901723,0.000040034807,0.00041591443],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99821013,0.000019859548,0.00064053293,0.00026588235,0.00055360026,0.00031000475],"domain_scores_gemma":[0.9970217,0.0019879465,0.000304379,0.00018408852,0.00038835354,0.00011355801],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015062746,0.00018659388,0.00051998807,0.000040836534,0.00018941826,0.000033579534,0.0003922425,0.00017121817,0.000017479239],"category_scores_gemma":[0.0024309843,0.00012747952,0.0004361544,0.00045810337,0.0008250538,0.00013239155,0.00030861635,0.00024610176,0.0000067959886],"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":[0.000027240196,0.00011025164,0.00013224098,0.0015157063,0.00011727489,5.667696e-8,0.00086016627,5.377568e-7,0.010807014,0.98054695,0.0058486327,0.000033918644],"study_design_scores_gemma":[0.00041845223,0.00006249491,0.00016081738,0.0001489396,0.00013338227,0.0000044196845,0.0008196974,0.0036341306,0.009526139,0.9848917,0.00007081571,0.00012901689],"about_ca_topic_score_codex":0.000004442282,"about_ca_topic_score_gemma":1.5107928e-7,"teacher_disagreement_score":0.033153187,"about_ca_system_score_codex":0.00006022301,"about_ca_system_score_gemma":0.000029359697,"threshold_uncertainty_score":0.5198464},"labels":[],"label_agreement":null},{"id":"W4392354173","doi":"10.1017/s0305004124000045","title":"The uniform distribution modulo one of certain subsequences of ordinates of zeros of the zeta function","year":2024,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","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 Northern British Columbia","funders":"Division of Mathematical Sciences; Indian Institute of Technology Gandhinagar; University of Northern British Columbia","keywords":"Modulo; Gamma function; Riemann hypothesis; Multiplicity (mathematics); Combinatorics; Mathematics; Zero (linguistics); Order (exchange); Riemann zeta function; Omega; Sequence (biology); Distribution (mathematics); Number theory; Physics; Mathematical analysis; Quantum mechanics","score_opus":0.04758361206761025,"score_gpt":0.29644658590754586,"score_spread":0.2488629738399356,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392354173","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98113304,0.00022706378,0.002354316,0.011780525,0.000097184056,0.0010201689,0.00020509025,0.000041499516,0.003141103],"genre_scores_gemma":[0.99899954,0.000038902755,0.00046095066,0.0000124117,0.00007239093,0.000022631944,0.0000028459965,0.000031050928,0.00035929793],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99663365,0.000062954576,0.0013012489,0.0002720928,0.001395431,0.0003346077],"domain_scores_gemma":[0.9960046,0.00184759,0.0007759482,0.00045083868,0.0008484722,0.00007257892],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029936556,0.00024234684,0.0007373905,0.00002843192,0.00016634773,0.00002799544,0.0011591521,0.00022006482,0.000029985173],"category_scores_gemma":[0.0024559416,0.00011910733,0.00095845875,0.0009800441,0.0025312982,0.00014693422,0.00056318234,0.000548279,0.0000023213165],"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":[0.000074871736,0.00034404316,0.0002499033,0.0054074777,0.00040063172,6.151629e-8,0.00039544623,0.0000033395497,0.036964007,0.955149,0.00087101036,0.00014021962],"study_design_scores_gemma":[0.0002037002,0.000125143,0.0003028606,0.0010635051,0.00036275457,0.0000051850066,0.0007127899,0.0064652823,0.10786008,0.88277113,0.000025102914,0.00010243813],"about_ca_topic_score_codex":0.000015721458,"about_ca_topic_score_gemma":3.932907e-7,"teacher_disagreement_score":0.07237783,"about_ca_system_score_codex":0.00010913171,"about_ca_system_score_gemma":0.00010356541,"threshold_uncertainty_score":0.9326674},"labels":[],"label_agreement":null},{"id":"W4405258545","doi":"10.1017/s030500412400029x","title":"On knots that divide ribbon knotted surfaces","year":2024,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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; McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ribbon; Knot (papermaking); Genus; Combinatorics; Mathematics; Geometry; Biology; Materials science; Botany","score_opus":0.0503351393182149,"score_gpt":0.2915709474272105,"score_spread":0.24123580810899561,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405258545","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9263256,0.00024218093,0.00067203515,0.042714953,0.00036675038,0.00067245844,0.000038866383,0.00044662203,0.028520506],"genre_scores_gemma":[0.99579626,0.00002003062,0.0017748226,0.0005915382,0.00030975975,0.00003633408,0.0000014273585,0.00007194908,0.0013978923],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99720675,0.000025414844,0.000656392,0.0005689427,0.0009792834,0.00056321995],"domain_scores_gemma":[0.9969366,0.0022109516,0.00021348118,0.0003107491,0.00014368656,0.00018452913],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010162512,0.0004108309,0.00070267473,0.000084681546,0.00020849796,0.00011762314,0.00080011936,0.00037212844,0.00017318311],"category_scores_gemma":[0.0018131994,0.00024855323,0.00088961597,0.0009498107,0.00065933523,0.00016436212,0.00045648532,0.0008805485,0.00013316693],"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":[0.000016792917,0.00028814076,0.000084099986,0.0014642741,0.00017804012,0.0000017440466,0.00038960497,9.323775e-7,0.0011418427,0.9582922,0.03791545,0.00022691835],"study_design_scores_gemma":[0.00029034552,0.00013697355,0.00028666246,0.0005909122,0.0001754441,0.00003471054,0.00010062414,0.0018299876,0.0036961418,0.99194485,0.0006279721,0.00028538334],"about_ca_topic_score_codex":0.0000024997153,"about_ca_topic_score_gemma":6.201535e-8,"teacher_disagreement_score":0.06947062,"about_ca_system_score_codex":0.000114045724,"about_ca_system_score_gemma":0.000040030212,"threshold_uncertainty_score":0.99999666},"labels":[],"label_agreement":null},{"id":"W4409900362","doi":"10.1017/s0305004125000155","title":"Hypergraph removal with polynomial bounds","year":2025,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Limits and Structures in Graph Theory","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 Toronto","funders":"","keywords":"Hypergraph; Mathematics; Combinatorics; Polynomial; Mathematical analysis","score_opus":0.016399080420872365,"score_gpt":0.26078652957520587,"score_spread":0.2443874491543335,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409900362","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85386753,0.00007559266,0.00052388955,0.012304363,0.00020534758,0.000645099,0.000016444403,0.00016750488,0.13219425],"genre_scores_gemma":[0.9807704,0.00000803503,0.01667683,0.000952554,0.00023782939,0.00003225811,5.720414e-7,0.000044881737,0.0012766027],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99773085,0.000020491592,0.0006655778,0.00043865436,0.0006824348,0.00046201595],"domain_scores_gemma":[0.9984441,0.00047035428,0.00028900395,0.00040561368,0.00026742864,0.00012354042],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007194568,0.00037520757,0.0006783977,0.000057408273,0.0005697561,0.000070266164,0.0009862442,0.0003052688,0.00002515567],"category_scores_gemma":[0.00057813426,0.0002100155,0.00076134485,0.00074601104,0.00130754,0.00013291328,0.00062564283,0.0006727982,0.0000023904888],"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":[0.00011044019,0.00020083073,0.0004709618,0.0008114166,0.00026299214,8.592751e-7,0.00026733818,2.9182422e-7,0.001529705,0.9811418,0.015097801,0.00010553082],"study_design_scores_gemma":[0.00077368185,0.00007617152,0.000390879,0.00037705808,0.00027629966,0.00006880636,0.00016905968,0.00025117127,0.0035932844,0.99255633,0.001205041,0.00026221143],"about_ca_topic_score_codex":0.0000018020598,"about_ca_topic_score_gemma":1.09192804e-7,"teacher_disagreement_score":0.13091764,"about_ca_system_score_codex":0.00007936204,"about_ca_system_score_gemma":0.000057761044,"threshold_uncertainty_score":0.8564183},"labels":[],"label_agreement":null},{"id":"W4411615336","doi":"10.1017/s0305004125000325","title":"On the $\\mathfrak{M}_H(G)$-property","year":2025,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic Geometry and Number Theory","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":"Toronto Metropolitan University","funders":"","keywords":"Property (philosophy); Combinatorics; Mathematics; Philosophy; Epistemology","score_opus":0.03320954308873525,"score_gpt":0.27292163306187084,"score_spread":0.2397120899731356,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411615336","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.55663246,0.000045925783,0.0008355257,0.12125518,0.00025275638,0.0012837007,0.00001760446,0.00022946802,0.3194474],"genre_scores_gemma":[0.9880064,0.000007182636,0.0012683278,0.0043521887,0.00017767324,0.00009157159,4.994684e-7,0.000043282926,0.006052882],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974378,0.000050143095,0.0007682605,0.000447883,0.00080728874,0.0004886658],"domain_scores_gemma":[0.9962255,0.0024964313,0.00031287127,0.0005845754,0.00026930828,0.000111348],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019727163,0.00039543596,0.00062604673,0.000039279374,0.0005331244,0.000077533325,0.0014775856,0.00030588006,0.00017803042],"category_scores_gemma":[0.004042584,0.00016732546,0.00092952064,0.0008872039,0.00096888747,0.000108275635,0.00070202746,0.0009883846,0.00007842963],"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":[0.000044838253,0.0003970116,0.00003399475,0.0006681791,0.0001709272,2.2832516e-7,0.00021885498,3.000524e-7,0.0009827339,0.92766637,0.0697223,0.00009423266],"study_design_scores_gemma":[0.00036092594,0.000054708355,0.00008622405,0.0005193622,0.00015233079,0.000009308479,0.00032922372,0.00053867244,0.007846998,0.98915577,0.000734451,0.00021204226],"about_ca_topic_score_codex":0.000001361114,"about_ca_topic_score_gemma":2.8716414e-8,"teacher_disagreement_score":0.43137395,"about_ca_system_score_codex":0.00010215295,"about_ca_system_score_gemma":0.000048300775,"threshold_uncertainty_score":0.6823334},"labels":[],"label_agreement":null},{"id":"W4411662065","doi":"10.1017/s0305004125000209","title":"On off-diagonal Ramsey numbers for vector spaces over $\\mathbb{F}_{2}$","year":2025,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","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":"Toronto Metropolitan University","funders":"","keywords":"Diagonal; Mathematics; Ramsey's theorem; Combinatorics; Ramsey theory; Geometry","score_opus":0.02310425667331443,"score_gpt":0.2977158908236536,"score_spread":0.2746116341503391,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411662065","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.926443,0.00009141557,0.0009335463,0.022319697,0.00056781195,0.0018377433,0.00011669422,0.00022198734,0.04746815],"genre_scores_gemma":[0.9895199,0.000010803467,0.007016465,0.001896177,0.0003250717,0.00013236945,0.0000018747431,0.00006155064,0.0010357886],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974474,0.000022124757,0.0007636396,0.0005215976,0.000713593,0.0005316496],"domain_scores_gemma":[0.9966375,0.0021849293,0.00036911282,0.00038471425,0.00028197633,0.00014173683],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00096116046,0.00043981936,0.0007831129,0.000053978445,0.00052712095,0.00008732467,0.00097035256,0.00040166575,0.000058124824],"category_scores_gemma":[0.0025060687,0.00027797944,0.0012913679,0.00043478765,0.0007655371,0.000117912336,0.0005008054,0.0006147463,0.000004722324],"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":[0.00014405746,0.00031505188,0.00009259701,0.0016414024,0.00027044056,1.62038e-7,0.00033536612,0.000001193175,0.000814801,0.94861454,0.04767474,0.000095626754],"study_design_scores_gemma":[0.0009960114,0.00010434292,0.00039980558,0.00052724854,0.00023246714,0.000005005136,0.00012503321,0.0014219424,0.002908523,0.99225277,0.0007367637,0.00029008146],"about_ca_topic_score_codex":0.000001086332,"about_ca_topic_score_gemma":8.485765e-8,"teacher_disagreement_score":0.06307694,"about_ca_system_score_codex":0.0001238521,"about_ca_system_score_gemma":0.00004870604,"threshold_uncertainty_score":0.9999672},"labels":[],"label_agreement":null},{"id":"W4412842852","doi":"10.1017/s0305004125000416","title":"Regularity of non-autonomous self-similar sets","year":2025,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"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; Engineering and Physical Sciences Research Council; University of St Andrews","keywords":"Mathematics; Computer science","score_opus":0.020287298664957595,"score_gpt":0.2870234709579737,"score_spread":0.2667361722930161,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412842852","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7978504,0.000069562986,0.0086759385,0.023497684,0.00020729513,0.002176268,0.00009117421,0.00029305177,0.16713867],"genre_scores_gemma":[0.9427515,0.000013976999,0.05607857,0.0004172487,0.000071594666,0.00005414825,0.0000014652738,0.000049941165,0.00056153035],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966974,0.00002388614,0.0014669306,0.00047930345,0.00083248696,0.00049995346],"domain_scores_gemma":[0.99713415,0.0008929826,0.0006853025,0.00058746134,0.0005357336,0.0001643512],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001513944,0.00043003124,0.0012263757,0.00006113159,0.00019707342,0.000048809055,0.0011760492,0.00046416512,0.000046438356],"category_scores_gemma":[0.0014956007,0.00029298445,0.0011758724,0.00072999386,0.0006591216,0.00014405545,0.0008235201,0.00067852245,0.000008249467],"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":[0.00002062592,0.0011404552,0.00016480671,0.0057193227,0.00030223271,3.7209003e-7,0.00031458444,6.22554e-7,0.0041058557,0.98162884,0.006502975,0.000099292396],"study_design_scores_gemma":[0.00057054625,0.00006148573,0.0004029936,0.0007368678,0.0003538236,0.00000951856,0.000104350926,0.026083978,0.007097726,0.9641874,0.0001298301,0.0002615138],"about_ca_topic_score_codex":0.000002219988,"about_ca_topic_score_gemma":8.685826e-8,"teacher_disagreement_score":0.16657713,"about_ca_system_score_codex":0.0001281761,"about_ca_system_score_gemma":0.00009199941,"threshold_uncertainty_score":0.99995226},"labels":[],"label_agreement":null},{"id":"W4413256813","doi":"10.1017/s0305004125101321","title":"Moments of random multiplicative functions over function fields","year":2025,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","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":"University of Toronto","funders":"","keywords":"Multiplicative function; Mathematics; Limit (mathematics); Natural number; Heap (data structure); Moment (physics); Pure mathematics; Mathematical analysis; Discrete mathematics; Physics; Quantum mechanics; Algorithm","score_opus":0.03625776157260395,"score_gpt":0.3210809422853877,"score_spread":0.28482318071278373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413256813","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8013772,0.00006270821,0.04331885,0.016868664,0.00021907927,0.0021740696,0.000059501148,0.00016679207,0.13575318],"genre_scores_gemma":[0.9933243,0.000005566841,0.0014858155,0.00023989085,0.000089042725,0.00008663877,0.0000012669193,0.000025340776,0.0047421413],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977561,0.000034201275,0.00080436765,0.00034664813,0.00073410885,0.0003245796],"domain_scores_gemma":[0.9974332,0.0012327026,0.00035999165,0.00036763205,0.00050807133,0.000098435725],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011415643,0.0002425443,0.000647338,0.000057711513,0.00019262543,0.000024894807,0.00063013437,0.00026433254,0.00012387456],"category_scores_gemma":[0.0018210819,0.00016178208,0.0007806172,0.00074877363,0.00070792536,0.00012693147,0.00051642343,0.0005755501,0.000013810323],"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":[0.00024438748,0.0006741323,0.00089351373,0.0014021137,0.00052827055,7.282752e-8,0.0002681007,0.000001615568,0.0046802843,0.9701831,0.021019707,0.00010474055],"study_design_scores_gemma":[0.0015475181,0.00006886716,0.0007086076,0.0003408314,0.00034063798,0.0000020517016,0.0003702164,0.0036505149,0.0047020838,0.9879919,0.00013528827,0.00014142932],"about_ca_topic_score_codex":0.000003858174,"about_ca_topic_score_gemma":1.2695608e-7,"teacher_disagreement_score":0.19194715,"about_ca_system_score_codex":0.00011050328,"about_ca_system_score_gemma":0.000054224278,"threshold_uncertainty_score":0.65972817},"labels":[],"label_agreement":null},{"id":"W4413695253","doi":"10.1017/s0305004125101515","title":"Murmurations of modular forms and <i>p</i> -power coefficients","year":2025,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Algebra and Geometry","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 Regina","funders":"University of Texas Rio Grande Valley","keywords":"Modular design; Power (physics); Mathematics; Computer science; Physics; Programming language; Thermodynamics","score_opus":0.016902880795428774,"score_gpt":0.27823738400814485,"score_spread":0.26133450321271606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413695253","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.958335,0.00008221847,0.01341259,0.00611519,0.000060082275,0.00057966524,0.000025730329,0.000059444465,0.021330088],"genre_scores_gemma":[0.9916814,0.00000973633,0.007676719,0.0003105416,0.000025105375,0.000021768406,6.3436323e-7,0.000019612517,0.00025447068],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983826,0.0000059570098,0.00064587925,0.0002710436,0.00043730027,0.00025716578],"domain_scores_gemma":[0.99873227,0.0003895876,0.00027430258,0.00023226195,0.0002909389,0.00008065883],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042789098,0.00021165812,0.00051316904,0.000043051885,0.00016600394,0.000021687014,0.00039833263,0.00017970067,0.0000120094455],"category_scores_gemma":[0.0010444644,0.00013622642,0.00036951207,0.00062100845,0.00060906453,0.00013809193,0.00041974193,0.0003046765,0.0000018858397],"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":[0.000012970999,0.00032991322,0.00017444044,0.0010526638,0.00008595988,6.543194e-8,0.0001871652,0.0000016691379,0.0076510715,0.98915964,0.0012651813,0.000079284226],"study_design_scores_gemma":[0.00044878543,0.000044539986,0.00035881082,0.0003184916,0.00011149884,0.0000046559458,0.00022752582,0.0010928547,0.014574162,0.982618,0.00006967112,0.00013101923],"about_ca_topic_score_codex":2.1248233e-7,"about_ca_topic_score_gemma":2.283246e-8,"teacher_disagreement_score":0.033346422,"about_ca_system_score_codex":0.000035022684,"about_ca_system_score_gemma":0.000024002531,"threshold_uncertainty_score":0.5555152},"labels":[],"label_agreement":null},{"id":"W4414749554","doi":"10.1017/s0305004125101734","title":"Ordered bases, order-preserving automorphisms and bi-orderable link groups","year":2025,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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 British Columbia; University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Automorphism; Invariant (physics); Link (geometry); Group (periodic table); Automorphism group","score_opus":0.025880751945526075,"score_gpt":0.2720750534522089,"score_spread":0.2461943015066828,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414749554","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72458404,0.00055854104,0.006823684,0.19137485,0.0003518775,0.0016770277,0.000037601843,0.00046887423,0.07412349],"genre_scores_gemma":[0.97276783,0.000052046264,0.022883093,0.0016340294,0.00021961266,0.000063280626,0.0000018211175,0.00004972244,0.0023285742],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974177,0.00003094586,0.000862923,0.00055397605,0.00055842014,0.0005760749],"domain_scores_gemma":[0.9973788,0.0012956915,0.00033296426,0.00038739326,0.0004352828,0.00016983211],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001077505,0.00038854894,0.00085538253,0.00010175813,0.0004116257,0.00008920767,0.000860588,0.00041855214,0.00012515255],"category_scores_gemma":[0.004412,0.00027010485,0.00040297513,0.0015204235,0.00082162925,0.00016905957,0.0011918464,0.0007669742,0.000009664377],"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":[0.0000198764,0.0002636585,0.00045140364,0.0017428349,0.00016830605,6.012927e-7,0.00018971878,6.193904e-7,0.0010118041,0.97698355,0.018801825,0.00036579493],"study_design_scores_gemma":[0.00086991285,0.000069042544,0.00051530503,0.0003577814,0.00020655956,0.00002540241,0.00026526966,0.0042893565,0.0011661069,0.99100244,0.00095974805,0.0002730507],"about_ca_topic_score_codex":0.000012501231,"about_ca_topic_score_gemma":3.632751e-7,"teacher_disagreement_score":0.24818377,"about_ca_system_score_codex":0.000076528704,"about_ca_system_score_gemma":0.00007775893,"threshold_uncertainty_score":0.9999751},"labels":[],"label_agreement":null},{"id":"W4415499827","doi":"10.1017/s0305004125101497","title":"The structure of Lonely Runner spectra","year":2025,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Mathematical Dynamics and Fractals","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":"Toronto Metropolitan University","funders":"National Science Foundation","keywords":"Conjecture; Spectrum (functional analysis); Point (geometry); Set (abstract data type); Spectral line","score_opus":0.01797322889541353,"score_gpt":0.27332301010954047,"score_spread":0.25534978121412694,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415499827","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8356005,0.00025526716,0.005441058,0.04996895,0.0003490762,0.00209483,0.00012517955,0.00016981212,0.105995335],"genre_scores_gemma":[0.9868107,0.000021911197,0.01183537,0.00029534823,0.00011871552,0.000013210121,8.0445784e-7,0.000039291674,0.00086469203],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971058,0.000022768478,0.0012186769,0.0003502411,0.0008329058,0.00046962156],"domain_scores_gemma":[0.9966952,0.0016453104,0.0005949897,0.00052159367,0.0004311624,0.00011170721],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00089113327,0.000354721,0.00080822606,0.000031879856,0.00035492936,0.00007784361,0.0013153943,0.00031360175,0.00004616251],"category_scores_gemma":[0.0022108404,0.0001812587,0.0009166652,0.0006443164,0.001125901,0.00009819959,0.00060032675,0.00070400053,0.000004428196],"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":[0.000026561665,0.00025742344,0.00006937052,0.0017220136,0.00020648004,1.3235059e-7,0.00018190574,4.2376698e-7,0.013529277,0.9779676,0.005952146,0.00008664179],"study_design_scores_gemma":[0.00034350972,0.000038679795,0.00022381508,0.0004174609,0.00020077045,0.0000072245925,0.00014690091,0.0033225988,0.011614377,0.9833032,0.00020263408,0.00017885308],"about_ca_topic_score_codex":0.0000018260323,"about_ca_topic_score_gemma":3.862763e-7,"teacher_disagreement_score":0.15121016,"about_ca_system_score_codex":0.00007607172,"about_ca_system_score_gemma":0.00005695176,"threshold_uncertainty_score":0.73915154},"labels":[],"label_agreement":null}]}