{"meta":{"query_hash":"8fb4431d81e9","filters":{"venue":"Communications in Algebra"},"cohort_total":135,"direct_labels_cover":0,"predictions_cover":135,"exported":135,"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/8fb4431d81e9","api":"https://metacan.xera.ac/api/v1/cohort?venue=Communications+in+Algebra"},"results":[{"id":"W1518700293","doi":"10.1080/00927872.2021.1912760","title":"Approximations of injective modules and finitistic dimension","year":2021,"lang":"en","type":"preprint","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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":"Bishop's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Indecomposable module; Dimension (graph theory); Injective function; Lambda; Mathematics; Global dimension; Finitely-generated abelian group; Combinatorics; Discrete mathematics; Physics; Quantum mechanics","score_opus":0.07988283378353835,"score_gpt":0.34633111382234466,"score_spread":0.26644828003880633,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1518700293","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7929507,0.00086959236,0.07241975,0.0020701613,0.00020400393,0.000035717807,0.00037798737,0.0002320923,0.13083993],"genre_scores_gemma":[0.98319155,0.00025442088,0.004831768,0.00012129925,0.00012047691,0.000024611401,0.00017497152,0.00003758654,0.011243272],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988636,0.00024374806,0.00006148234,0.00020710337,0.0003656505,0.00025852863],"domain_scores_gemma":[0.9970482,0.0014508893,0.00041915922,0.00031828767,0.0002887154,0.00047471398],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010854454,0.00064896117,0.00095114094,0.001888449,0.0021504017,0.0044825994,0.0012302833,0.0009697275,0.008017616],"category_scores_gemma":[0.004683656,0.00055298914,0.0008361621,0.0013644912,0.005021581,0.006990725,0.004150865,0.0033047777,0.0006035865],"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":[0.000032966105,0.0000121937965,0.0002943083,0.000012137052,0.0000052657256,0.00002793614,0.0001599809,0.0005181101,0.00023163484,0.99755365,0.00018676357,0.0009650638],"study_design_scores_gemma":[0.000012935883,0.000011870521,0.0003915125,0.000008181857,0.000007912918,0.000067148474,0.000109211345,0.00280114,0.00034853368,0.99503726,0.001194937,0.000009396608],"about_ca_topic_score_codex":0.0014761518,"about_ca_topic_score_gemma":0.0011691354,"teacher_disagreement_score":0.008017616,"about_ca_system_score_codex":0.002115492,"about_ca_system_score_gemma":0.0005604706,"threshold_uncertainty_score":0.026821613},"labels":[],"label_agreement":null},{"id":"W1559910932","doi":"10.1080/00927872.2018.1508581","title":"Topological Hopf algebras and their Hopf-cyclic cohomology","year":2019,"lang":"en","type":"preprint","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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 New Brunswick","funders":"","keywords":"Mathematics; Hopf algebra; Representation theory of Hopf algebras; Subalgebra; Pure mathematics; Cohomology; Universal enveloping algebra; Topology (electrical circuits); Algebra over a field; Division algebra; Combinatorics","score_opus":0.08574572722666325,"score_gpt":0.3509087715753098,"score_spread":0.26516304434864657,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1559910932","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31542844,0.024296636,0.1930394,0.0034553981,0.0017214271,0.00010157259,0.0007922557,0.00046985186,0.460695],"genre_scores_gemma":[0.9435714,0.0045318766,0.016753968,0.00025203804,0.0009888319,0.00005792377,0.00040415506,0.00006040278,0.033379536],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996352,0.00009233781,0.000019975434,0.000052593638,0.00014102907,0.000058793088],"domain_scores_gemma":[0.9996611,0.000083568295,0.000055388347,0.00004328426,0.000088805915,0.00006783074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004915042,0.00048145393,0.00023655743,0.002400479,0.0008314308,0.0024801996,0.0005057187,0.0005272967,0.008741322],"category_scores_gemma":[0.0013382044,0.00018227013,0.0003408819,0.0017113261,0.0022773782,0.0032764517,0.0014027848,0.0008456748,0.0009723739],"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":[0.0000028775037,0.000003361577,0.000065936634,0.000017095219,0.0000018680112,0.000024728244,0.00010166454,0.00020508423,0.0003029625,0.9944437,0.0004541996,0.0043764804],"study_design_scores_gemma":[0.000002090304,0.000007979904,0.00017454322,0.000013358664,0.0000026092573,0.00008329624,0.00008313656,0.0017717062,0.00026139768,0.9855903,0.012003231,0.0000062738286],"about_ca_topic_score_codex":0.0009574234,"about_ca_topic_score_gemma":0.0005622325,"teacher_disagreement_score":0.008741322,"about_ca_system_score_codex":0.0009696392,"about_ca_system_score_gemma":0.0005271253,"threshold_uncertainty_score":0.029242635},"labels":[],"label_agreement":null},{"id":"W1963642630","doi":"10.1081/agb-120005833","title":"PRODUCTS OF INVOLUTIONS IN THE FINITE CHEVALLEY GROUPS OF TYPE","year":2002,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"University of Toronto; Institute for Clinical Evaluative Sciences","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Type (biology); Group of Lie type; Finite field; Pure mathematics; Field (mathematics); Product (mathematics); Algebra over a field; Combinatorics; Group theory; Geometry","score_opus":0.2724584615412109,"score_gpt":0.3846627105457188,"score_spread":0.11220424900450793,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1963642630","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9583186,0.00014892295,0.027284617,0.00014368785,0.00006201676,0.000028299215,0.00006405695,0.00009149414,0.013858309],"genre_scores_gemma":[0.9915782,0.00006613452,0.0044712876,0.000027276199,0.00006751793,0.000028527122,0.00007335855,0.000026784364,0.0036608858],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988067,0.00023905117,0.00009442523,0.00019905188,0.0002818334,0.00037898944],"domain_scores_gemma":[0.9957094,0.0017849385,0.0008156382,0.0005329284,0.00040477497,0.0007523111],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017038041,0.00047196102,0.000691731,0.0012758718,0.0014131684,0.0028701962,0.00052332634,0.00059274497,0.004752459],"category_scores_gemma":[0.0032799232,0.00052622624,0.00089934445,0.00068622705,0.0036108764,0.0035339782,0.00246657,0.00097279187,0.0004885596],"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":[0.0008879105,0.00010563668,0.007109651,0.00007762168,0.000042269283,0.0012939032,0.0016635038,0.0031536026,0.012295844,0.96254706,0.000499635,0.01032342],"study_design_scores_gemma":[0.00012462234,0.00034038207,0.002712567,0.00004547825,0.00006478419,0.0011300208,0.0007593803,0.0071993596,0.016727578,0.9660057,0.0048414073,0.000048683763],"about_ca_topic_score_codex":0.00026771575,"about_ca_topic_score_gemma":0.00030428387,"teacher_disagreement_score":0.004752459,"about_ca_system_score_codex":0.000587206,"about_ca_system_score_gemma":0.00048175716,"threshold_uncertainty_score":0.015898526},"labels":[],"label_agreement":null},{"id":"W1963879469","doi":"10.1080/00927870701866853","title":"A Class of Semigroups of Finite Representation Type","year":2008,"lang":"en","type":"article","venue":"Communications in Algebra","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":"Carleton University","funders":"","keywords":"Indecomposable module; Mathematics; Semigroup; Class (philosophy); Pure mathematics; Mathematics Subject Classification; Representation (politics); Type (biology); Algebra over a field; Computer science","score_opus":0.16449217449474343,"score_gpt":0.3984009152975737,"score_spread":0.23390874080283028,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1963879469","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87234014,0.00061088044,0.07738428,0.00056794134,0.00012863857,0.000060532388,0.00028542432,0.00037023728,0.04825199],"genre_scores_gemma":[0.9872936,0.00009209908,0.005629679,0.000056017172,0.00007192117,0.000028944383,0.00019825391,0.0000130201415,0.006616583],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995129,0.00009798196,0.000024692768,0.000106431464,0.00015361559,0.0001044177],"domain_scores_gemma":[0.9991123,0.0002952408,0.00014580689,0.00016243086,0.00012941191,0.0001547163],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043174654,0.00015709242,0.0002545767,0.00068772107,0.0010145656,0.0017811863,0.0003510512,0.000351546,0.004250502],"category_scores_gemma":[0.0012772797,0.00015098132,0.00042431956,0.00047734348,0.0017156533,0.0012885438,0.00079586456,0.00048785433,0.00030547412],"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":[0.00006508366,0.000031800533,0.0019967086,0.000035271758,0.000008007698,0.00035768267,0.0005990406,0.0006391915,0.0052927905,0.98099893,0.0009501037,0.00902536],"study_design_scores_gemma":[0.00005249068,0.00007616372,0.003942877,0.000029218081,0.000013451454,0.0012223709,0.0003592611,0.012309059,0.0049478794,0.9589054,0.018115893,0.000026051468],"about_ca_topic_score_codex":0.00049507705,"about_ca_topic_score_gemma":0.00035047482,"teacher_disagreement_score":0.004250502,"about_ca_system_score_codex":0.00081576506,"about_ca_system_score_gemma":0.0004535844,"threshold_uncertainty_score":0.014219344},"labels":[],"label_agreement":null},{"id":"W1966180906","doi":"10.1081/agb-120017760","title":"Relations Among Divisors on the Moduli Space of Curves with Marked Points","year":2003,"lang":"en","type":"article","venue":"Communications in Algebra","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":"McGill University","funders":"","keywords":"Mathematics; Moduli space; Moduli of algebraic curves; Pure mathematics; Algebraic geometry; Algebra over a field; Exposition (narrative); Moduli; Genus; Space (punctuation); Linguistics; Philosophy","score_opus":0.0482753463563272,"score_gpt":0.29322521110072153,"score_spread":0.24494986474439434,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1966180906","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98337597,0.000405338,0.0061121266,0.00025428907,0.000019230723,0.000016224269,0.00013064027,0.000027344833,0.0096588535],"genre_scores_gemma":[0.99590427,0.00019664348,0.0016233503,0.000016279593,0.000041740197,0.000015596368,0.00023918423,0.000007608155,0.0019552791],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994671,0.00008500813,0.000034950102,0.00012646752,0.00014212794,0.00014441198],"domain_scores_gemma":[0.9991179,0.00023662527,0.0002145433,0.00007133729,0.00008217248,0.00027740464],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00085245824,0.0005870881,0.0006049241,0.004021122,0.002271895,0.0033592097,0.0007364682,0.00078221987,0.0056847264],"category_scores_gemma":[0.0021030647,0.00028751174,0.00046551405,0.002702448,0.0036525144,0.006090492,0.0029240865,0.0012045227,0.00038684756],"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":[0.00013987155,0.00004377477,0.005862775,0.000040220126,0.000012868569,0.00045614835,0.0014819693,0.0010962475,0.0027610206,0.9801444,0.00041816072,0.0075424076],"study_design_scores_gemma":[0.00003722634,0.0000831673,0.0066260486,0.000042422682,0.000016730122,0.0005000777,0.0016671646,0.004250206,0.0025998424,0.9800505,0.004092305,0.000034279336],"about_ca_topic_score_codex":0.0005646717,"about_ca_topic_score_gemma":0.00045309114,"teacher_disagreement_score":0.0056847264,"about_ca_system_score_codex":0.0013071732,"about_ca_system_score_gemma":0.0003253707,"threshold_uncertainty_score":0.019017339},"labels":[],"label_agreement":null},{"id":"W1970514195","doi":"10.1080/00927872.2013.824460","title":"A Note on CLT-Groups","year":2014,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","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":"University of Windsor","keywords":"Mathematics; Prime (order theory); Divisor (algebraic geometry); Order (exchange); Combinatorics; Subject (documents); Key (lock); Discrete mathematics; Computer science; Library science","score_opus":0.12431866524298199,"score_gpt":0.40659252095369197,"score_spread":0.28227385571070995,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970514195","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7345458,0.002118216,0.047193695,0.0064146076,0.00036735236,0.00005623595,0.0005406393,0.00017664529,0.20858686],"genre_scores_gemma":[0.9884821,0.00026386933,0.004184584,0.000159489,0.00023556991,0.000013650661,0.00021011551,0.000015510885,0.0064351046],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989987,0.00022207992,0.000060224713,0.00020662216,0.00036079373,0.00015147352],"domain_scores_gemma":[0.99820983,0.00053240464,0.00025878305,0.00026860824,0.00039892,0.00033145008],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00072495703,0.00030268586,0.00036279822,0.0013993451,0.00083020166,0.0021635971,0.00039155324,0.00054937677,0.004382139],"category_scores_gemma":[0.0026198805,0.000098062366,0.00032480044,0.001398268,0.0029049611,0.002568768,0.002001916,0.0014717971,0.00038006456],"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":[0.00007528429,0.000019803723,0.004835277,0.000046096266,0.000006181491,0.000243936,0.00079247385,0.0020196252,0.0014851214,0.97751427,0.00195605,0.011005868],"study_design_scores_gemma":[0.000013239919,0.000074818214,0.0027673754,0.000024491588,0.000007359798,0.00079870893,0.0007426165,0.009840867,0.0015866199,0.9566861,0.027443744,0.00001405578],"about_ca_topic_score_codex":0.0011376516,"about_ca_topic_score_gemma":0.00053430744,"teacher_disagreement_score":0.004382139,"about_ca_system_score_codex":0.001298005,"about_ca_system_score_gemma":0.0004861889,"threshold_uncertainty_score":0.014659703},"labels":[],"label_agreement":null},{"id":"W1970523004","doi":"10.1080/00927870008827088","title":"Self-adjoint ideals in baer *-rings","year":2000,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":17,"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 Regina","keywords":"Mathematics; Pure mathematics; Semiprime ring; Algebra over a field; Combinatorics; Prime (order theory)","score_opus":0.054957920626982036,"score_gpt":0.322620380596901,"score_spread":0.267662459969919,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970523004","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20591205,0.06622146,0.2424841,0.009737829,0.0050721806,0.00009378788,0.0005885136,0.001078251,0.46881184],"genre_scores_gemma":[0.87860864,0.014259115,0.040212695,0.0010312265,0.0034285742,0.00006828945,0.0006805469,0.00010563803,0.061605256],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971527,0.000070181675,0.00002054527,0.000043396478,0.00011041212,0.00004030264],"domain_scores_gemma":[0.99945885,0.00013575226,0.000078565354,0.000054239437,0.0001779946,0.00009458912],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00078260154,0.00024955734,0.0003301307,0.0012021501,0.00068918517,0.0019678373,0.00027004446,0.00036919556,0.005434688],"category_scores_gemma":[0.0009291941,0.00025766104,0.00024926435,0.00092856365,0.0011120066,0.0035543765,0.0010106032,0.0013387959,0.0021937452],"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":[0.00003607988,0.00003359184,0.00024079821,0.000076768956,0.0000071302825,0.000092114664,0.000517796,0.00027308738,0.0024382207,0.9527176,0.013326274,0.030240554],"study_design_scores_gemma":[0.00001905793,0.000041853717,0.0005560804,0.000033577242,0.000007128719,0.00046902132,0.00019053523,0.0016244514,0.0021171512,0.952675,0.04225236,0.00001380584],"about_ca_topic_score_codex":0.00019718784,"about_ca_topic_score_gemma":0.0002164163,"teacher_disagreement_score":0.005434688,"about_ca_system_score_codex":0.00036586286,"about_ca_system_score_gemma":0.00024030262,"threshold_uncertainty_score":0.018180847},"labels":[],"label_agreement":null},{"id":"W1972702063","doi":"10.1080/00927870701665461","title":"On Rings Whose Elements are the Sum of a Unit and a Root of a Fixed Polynomial","year":2008,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Memorial University of Newfoundland","keywords":"Mathematics; Idempotence; Unit (ring theory); Combinatorics; Ring (chemistry); Polynomial ring; Element (criminal law); Center (category theory); Identity (music); Polynomial; Discrete mathematics; Crystallography; Chemistry; Mathematical analysis; Physics","score_opus":0.08063600492248027,"score_gpt":0.3210195705808366,"score_spread":0.2403835656583563,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972702063","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3236223,0.019095851,0.36260828,0.002069027,0.0014837877,0.00028901087,0.0012349401,0.00087340095,0.2887234],"genre_scores_gemma":[0.8289422,0.014435183,0.10839492,0.0007402498,0.0034777282,0.00032654547,0.0010178386,0.0002818815,0.042383596],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99629396,0.0010151574,0.00024306885,0.0009150726,0.00089943415,0.0006332071],"domain_scores_gemma":[0.99640805,0.0011947952,0.0008007832,0.00073242374,0.00041609647,0.0004478312],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024235465,0.0013006198,0.0012855552,0.0035933277,0.002832904,0.0032477167,0.0012365456,0.0009789612,0.0053859646],"category_scores_gemma":[0.0040803836,0.0010309578,0.0012406122,0.004211765,0.010339856,0.009848117,0.0044456376,0.002241734,0.0031354856],"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":[0.00010526334,0.00002144473,0.00034383402,0.0001623087,0.00002085774,0.0002662039,0.000651856,0.00089221954,0.002961068,0.9780346,0.0017338952,0.014806314],"study_design_scores_gemma":[0.000039239934,0.00018191662,0.0016887375,0.0001107612,0.00006862905,0.00086173957,0.0003888297,0.0035088514,0.005212603,0.94683814,0.04100322,0.00009729516],"about_ca_topic_score_codex":0.0007897252,"about_ca_topic_score_gemma":0.00089531916,"teacher_disagreement_score":0.0053859646,"about_ca_system_score_codex":0.0015621948,"about_ca_system_score_gemma":0.00075748994,"threshold_uncertainty_score":0.018017828},"labels":[],"label_agreement":null},{"id":"W1972754146","doi":"10.1080/00927870601142397","title":"On Commutativity and Centrality in Infinite Rings","year":2007,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada; University of Isfahan; Brigham Young University","keywords":"Commutative property; Ring (chemistry); Mathematics; Subject (documents); Noncommutative ring; Commutative ring; Mathematics Subject Classification; Center (category theory); Excellence; Centrality; Pure mathematics; Discrete mathematics; Combinatorics; Computer science; Law; Library science; Political science; Crystallography; Chemistry","score_opus":0.08000251072950318,"score_gpt":0.35879058259955554,"score_spread":0.2787880718700524,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972754146","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74676734,0.0018817274,0.18612865,0.0027888664,0.00018967112,0.000044386157,0.00014793733,0.00015700821,0.061894435],"genre_scores_gemma":[0.99222213,0.00025487723,0.0054957676,0.00009565894,0.00015464926,0.000026173831,0.000046299883,0.0000136511535,0.0016908391],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967854,0.0012350825,0.00017385055,0.00073472684,0.0006593157,0.00041158014],"domain_scores_gemma":[0.9685941,0.022037696,0.0025530602,0.002012377,0.0028628088,0.0019399535],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0046742405,0.0002273436,0.00059396937,0.0012566892,0.0018999323,0.0024506557,0.0008117523,0.00087033754,0.0056996127],"category_scores_gemma":[0.0154551715,0.0002724968,0.00042408018,0.0009820065,0.007370363,0.006366197,0.0025750408,0.0013888446,0.0004850386],"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":[0.000062040395,0.000019626375,0.0015220171,0.00004664997,0.00000853514,0.0003068375,0.0007342764,0.00087426964,0.0018852447,0.9908121,0.00046696042,0.0032613473],"study_design_scores_gemma":[0.000032019565,0.000042708944,0.0016426578,0.000029903695,0.000017267745,0.0006263133,0.00063078443,0.0065807276,0.0029304773,0.98326516,0.004175621,0.000026441285],"about_ca_topic_score_codex":0.0010461026,"about_ca_topic_score_gemma":0.00089496945,"teacher_disagreement_score":0.0056996127,"about_ca_system_score_codex":0.0014806843,"about_ca_system_score_gemma":0.0009127145,"threshold_uncertainty_score":0.024720073},"labels":[],"label_agreement":null},{"id":"W1973184535","doi":"10.1080/00927870601168814","title":"A Class of Nonunitary, Finite Dimensional Representations of the Euclidean Algebra 𝔢(2)","year":2007,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":26,"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; University of Toronto","funders":"","keywords":"Indecomposable module; Mathematics; Algebra over a field; Euclidean geometry; Embedding; Euclidean domain; Pure mathematics; Class (philosophy); Euclidean distance matrix; Euclidean space; Computer science","score_opus":0.07460045472992834,"score_gpt":0.3777010399221567,"score_spread":0.3031005851922284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1973184535","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94516367,0.00040107628,0.03200545,0.00022978241,0.00009177645,0.000026533575,0.00010784906,0.0001589143,0.021814907],"genre_scores_gemma":[0.9925648,0.00007591859,0.0029644223,0.0000406404,0.00003644445,0.000016367674,0.00010061723,0.000017286357,0.004183385],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997427,0.000043956356,0.000009651677,0.00005827666,0.000069396374,0.00007611409],"domain_scores_gemma":[0.9997582,0.000041394636,0.000051133593,0.000058372952,0.000027400918,0.00006346085],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017920593,0.00035836114,0.00030860186,0.00065821456,0.00079649495,0.0013415542,0.0005801221,0.00065423787,0.0030405268],"category_scores_gemma":[0.0006904309,0.00018407009,0.0003671866,0.0004446397,0.0014490429,0.0013636488,0.0008126577,0.0006839262,0.00024695465],"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":[0.00012082731,0.00012474139,0.001612975,0.000082215054,0.000022220735,0.0013953923,0.0008847802,0.0026849825,0.022031987,0.9504373,0.0017249844,0.018877605],"study_design_scores_gemma":[0.00010352789,0.00021310375,0.006117112,0.00004174365,0.000028755236,0.0025560055,0.00075856474,0.028574951,0.008862045,0.9415515,0.011100367,0.00009239055],"about_ca_topic_score_codex":0.00033735763,"about_ca_topic_score_gemma":0.00037592443,"teacher_disagreement_score":0.0030405268,"about_ca_system_score_codex":0.0002563352,"about_ca_system_score_gemma":0.00028752547,"threshold_uncertainty_score":0.010171533},"labels":[],"label_agreement":null},{"id":"W1973389329","doi":"10.1080/00927870500274853","title":"Strongly Flat and<i>PO</i>-Flat<i>S</i>-Posets","year":2005,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"semigroups and automata theory","field":"Computer Science","cited_by":44,"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 Windsor","keywords":"Monoid; Mathematics; Flatness (cosmology); Combinatorics; Semigroup; Partially ordered set; Torsion (gastropod); Algebra over a field; Discrete mathematics; Physics; Pure mathematics","score_opus":0.02184093062763629,"score_gpt":0.27574343331299533,"score_spread":0.253902502685359,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1973389329","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5367873,0.0027428905,0.2625914,0.002103228,0.0006435828,0.00021790247,0.0018302407,0.0009948935,0.1920886],"genre_scores_gemma":[0.95919687,0.00041273917,0.019203657,0.0002976687,0.00017695792,0.00010069411,0.0010632878,0.000093902,0.019454101],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982185,0.00038444356,0.00018997146,0.00051009364,0.00033433398,0.0003627085],"domain_scores_gemma":[0.9977083,0.0008256175,0.00023751505,0.00022049583,0.00049788307,0.00051012915],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014470057,0.0006012397,0.00052067137,0.0021493789,0.0022607055,0.003903842,0.0005228746,0.00074952823,0.011266482],"category_scores_gemma":[0.0020288485,0.0005589235,0.0011788505,0.0010932669,0.0046295575,0.0046713618,0.0028094463,0.001892188,0.0012001564],"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":[0.000096536445,0.00002745941,0.0016613365,0.00005715473,0.000014715733,0.0005609201,0.0011745717,0.0010006732,0.0019817194,0.98367465,0.001480762,0.008269686],"study_design_scores_gemma":[0.000022758491,0.00010478235,0.0026768611,0.00006212295,0.000024310835,0.0011172032,0.001200222,0.0050961953,0.0029578314,0.9665809,0.020107586,0.000049128583],"about_ca_topic_score_codex":0.0020203076,"about_ca_topic_score_gemma":0.0013091562,"teacher_disagreement_score":0.011266482,"about_ca_system_score_codex":0.0014373406,"about_ca_system_score_gemma":0.0007980445,"threshold_uncertainty_score":0.037690103},"labels":[],"label_agreement":null},{"id":"W1981940473","doi":"10.1081/agb-120021887","title":"Derivations of Orthosymplectic Lie Superalgebras","year":2003,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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":"","keywords":"Mathematics; Semidirect product; Pure mathematics; Algebra over a field; Product (mathematics); Group (periodic table); Geometry; Chemistry","score_opus":0.09355412873474966,"score_gpt":0.35676076829221576,"score_spread":0.2632066395574661,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981940473","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6117601,0.0015322542,0.14326651,0.0011127566,0.00034639527,0.00009259084,0.00026916745,0.00028673364,0.2413336],"genre_scores_gemma":[0.9631915,0.00052679086,0.016943147,0.0002158433,0.000116590396,0.000022392165,0.00012904889,0.00007667083,0.01877806],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994923,0.00013564291,0.00004513415,0.0000483462,0.00021016061,0.000068308516],"domain_scores_gemma":[0.999496,0.000065976055,0.0000641917,0.0000709226,0.00021844615,0.00008451224],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005170578,0.00025075895,0.000274957,0.00052413304,0.000674963,0.0009206491,0.0002706329,0.0002260547,0.0042453106],"category_scores_gemma":[0.0010433224,0.00012742156,0.00025407667,0.000489002,0.0012322471,0.0016749622,0.0011039143,0.00071657513,0.0011937341],"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":[0.000015428648,0.000009772062,0.00022837655,0.000023396511,0.0000046966975,0.00023257703,0.0002506774,0.00069113204,0.004722868,0.98854023,0.0005728293,0.0047080666],"study_design_scores_gemma":[0.000009184212,0.000026132213,0.0002966435,0.000017468376,0.0000054164684,0.00041570858,0.00027372187,0.003466912,0.0056900233,0.9718098,0.017976342,0.0000126242585],"about_ca_topic_score_codex":0.0004381828,"about_ca_topic_score_gemma":0.0006891021,"teacher_disagreement_score":0.0042453106,"about_ca_system_score_codex":0.00044249996,"about_ca_system_score_gemma":0.0005731925,"threshold_uncertainty_score":0.014201999},"labels":[],"label_agreement":null},{"id":"W1982284230","doi":"10.1081/agb-120015672","title":"AXIOMATISABILITY OF WEAKLY FLAT, FLAT, AND PROJECTIVE<i>S</i>-ACTS","year":2002,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"semigroups and automata theory","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; Wilfrid Laurier University","keywords":"Mathematics; Class (philosophy); Order (exchange); Pure mathematics; Projective test; Computer science; Artificial intelligence","score_opus":0.041138142201751014,"score_gpt":0.2761499688212992,"score_spread":0.2350118266195482,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982284230","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83052826,0.00028850394,0.13065475,0.0008531573,0.00010953253,0.000123973,0.0007425898,0.0012976797,0.035401665],"genre_scores_gemma":[0.98707145,0.000052987412,0.0092145745,0.00009991505,0.00003174789,0.00003021776,0.0005492729,0.000042921645,0.0029068675],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99684036,0.0007520882,0.00044369441,0.00084485795,0.0005888069,0.0005301557],"domain_scores_gemma":[0.991981,0.0031780915,0.00089037477,0.0013357616,0.0013441682,0.0012705881],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002029791,0.00039903977,0.0005007164,0.0010888615,0.0016344712,0.0027089925,0.0007167643,0.0006787666,0.004853199],"category_scores_gemma":[0.004558177,0.00050572766,0.0013295169,0.00045547716,0.005047758,0.0031537497,0.0023854054,0.0014527426,0.0005069649],"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":[0.00050683785,0.00012294308,0.017405737,0.00019583508,0.00009403315,0.0015162049,0.0027516629,0.0054038013,0.018298749,0.9307958,0.0017988988,0.021109546],"study_design_scores_gemma":[0.00017539701,0.0005701613,0.020725321,0.00011466717,0.00017243484,0.0022180404,0.0025424273,0.03376511,0.049454264,0.8639955,0.026100596,0.00016616886],"about_ca_topic_score_codex":0.0020024143,"about_ca_topic_score_gemma":0.002049451,"teacher_disagreement_score":0.004853199,"about_ca_system_score_codex":0.001157127,"about_ca_system_score_gemma":0.0013690667,"threshold_uncertainty_score":0.01623553},"labels":[],"label_agreement":null},{"id":"W1983382008","doi":"10.1080/00927870008827055","title":"Orderings and valuations on twisted polynomial rings","year":2000,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","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 Saskatchewan","funders":"","keywords":"Mathematics; Pure mathematics; Polynomial ring; Polynomial; Lie algebra; Algebra over a field; Mathematical analysis","score_opus":0.024095797327411683,"score_gpt":0.30849474082271094,"score_spread":0.28439894349529926,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1983382008","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95625746,0.00037831854,0.02292186,0.00021807186,0.00003587025,0.000011476854,0.000076881624,0.000046685396,0.020053273],"genre_scores_gemma":[0.9950989,0.00017502742,0.00251541,0.000010925826,0.00003491939,0.0000050331973,0.00004202649,0.000008777659,0.0021089972],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996655,0.000102305945,0.000020161937,0.000042913383,0.000072249844,0.00009689809],"domain_scores_gemma":[0.99889225,0.00041320463,0.00023875038,0.00008879883,0.00011874496,0.00024829165],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00070069544,0.00029653896,0.00022611271,0.001806705,0.00081184116,0.0022160015,0.00034336024,0.00027787327,0.0029490455],"category_scores_gemma":[0.0019845474,0.00019395666,0.00028023182,0.00084839604,0.0024556618,0.002706147,0.0008578239,0.0006001799,0.00030775365],"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":[0.00004861357,0.000013512988,0.00062610145,0.000017672864,0.0000033678532,0.00014171467,0.0002953638,0.0016851462,0.0028020556,0.98891675,0.00016997263,0.0052796644],"study_design_scores_gemma":[0.000015962858,0.000046491554,0.0010084976,0.000017064576,0.000005418926,0.0002466238,0.0003540193,0.010390217,0.0028229658,0.983307,0.0017676894,0.0000179933],"about_ca_topic_score_codex":0.00033987418,"about_ca_topic_score_gemma":0.000291964,"teacher_disagreement_score":0.0029490455,"about_ca_system_score_codex":0.000657005,"about_ca_system_score_gemma":0.00029435483,"threshold_uncertainty_score":0.009865582},"labels":[],"label_agreement":null},{"id":"W1985374437","doi":"10.1081/agb-120027867","title":"Zero-Cycles on Varieties Over Finite Fields","year":2004,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Isomorphism (crystallography); Projective variety; Zero (linguistics); Torsion (gastropod); Pure mathematics; Dimension (graph theory); Variety (cybernetics); Finite field; Combinatorics; Discrete mathematics; Crystallography","score_opus":0.061996573635810605,"score_gpt":0.33658835135817267,"score_spread":0.27459177772236204,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1985374437","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.962555,0.0010207861,0.010353637,0.00030838168,0.00008680976,0.000034020166,0.00006664104,0.0001168103,0.025457881],"genre_scores_gemma":[0.99407744,0.00030684602,0.0013477606,0.000036086345,0.00004466535,0.000016766257,0.00006381971,0.0000156446,0.0040909247],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99946314,0.000092221955,0.000028317736,0.00011943903,0.00015379554,0.00014308892],"domain_scores_gemma":[0.99929035,0.00016872906,0.000120874916,0.00007986647,0.00009983671,0.00024033275],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050327607,0.0006458517,0.000504161,0.0023674301,0.0014012854,0.002533772,0.000602649,0.0005233061,0.0026990229],"category_scores_gemma":[0.0017260859,0.00039554085,0.00040042208,0.0011182575,0.003005856,0.0030204596,0.0030759985,0.00092766166,0.00039089797],"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":[0.00008340636,0.000045535984,0.0037026568,0.000071055445,0.00001541117,0.00055310107,0.0013357732,0.0012983584,0.0039485665,0.9757715,0.00074508914,0.01242958],"study_design_scores_gemma":[0.000038916976,0.00011133584,0.0032873347,0.0000612139,0.00002149759,0.0006764885,0.00059264386,0.0044156914,0.0045302226,0.97489876,0.011330667,0.000035224337],"about_ca_topic_score_codex":0.0011491391,"about_ca_topic_score_gemma":0.00087081705,"teacher_disagreement_score":0.0026990229,"about_ca_system_score_codex":0.0015887159,"about_ca_system_score_gemma":0.0005307882,"threshold_uncertainty_score":0.011527002},"labels":[],"label_agreement":null},{"id":"W1986226790","doi":"10.1080/00927872.2013.808651","title":"Feebly Baer Rings and Modules","year":2014,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","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":"Memorial University of Newfoundland","funders":"","keywords":"Ring (chemistry); Mathematics; Von Neumann architecture; Von Neumann regular ring; Subject (documents); Pure mathematics; Commutative ring; Commutative property; Computer science; Chemistry; Library science","score_opus":0.05414771864634498,"score_gpt":0.3125265868269681,"score_spread":0.2583788681806231,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1986226790","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.58384866,0.005969257,0.16336064,0.0024071378,0.00039620683,0.00013044609,0.0004507643,0.0003650721,0.24307176],"genre_scores_gemma":[0.96373534,0.0012572234,0.014522257,0.00023705092,0.00037762302,0.000039752333,0.00015453201,0.000019450215,0.019656649],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99930906,0.00017667461,0.00004727537,0.00016018772,0.00022644573,0.000080285085],"domain_scores_gemma":[0.9989874,0.00021139867,0.00026432346,0.00017586928,0.00018354972,0.0001774335],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00080851413,0.00034767826,0.00026734947,0.0009320541,0.0006448744,0.0014552687,0.00034965487,0.00040816818,0.0075838924],"category_scores_gemma":[0.0017555776,0.00014475192,0.00023617475,0.0006970167,0.0017362408,0.0035000492,0.0011096166,0.0005748579,0.0006997149],"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":[0.000028355267,0.000011233302,0.00045841836,0.000048409096,0.000005388702,0.00014016642,0.00027683115,0.000537196,0.0029488134,0.9844201,0.00094719103,0.010177962],"study_design_scores_gemma":[0.000014128628,0.00006889839,0.002545774,0.000026549502,0.000009401773,0.0010398154,0.00022630373,0.0035654376,0.0040639997,0.9554209,0.032994617,0.000024088402],"about_ca_topic_score_codex":0.0003057725,"about_ca_topic_score_gemma":0.00017463823,"teacher_disagreement_score":0.0075838924,"about_ca_system_score_codex":0.00059276924,"about_ca_system_score_gemma":0.0002486695,"threshold_uncertainty_score":0.025370598},"labels":[],"label_agreement":null},{"id":"W1991302542","doi":"10.1080/00927870701649416","title":"Central Extensions of Steinberg Lie Superalgebras of Small Rank","year":2007,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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":"York University","funders":"","keywords":"Mathematics; Lie superalgebra; Pure mathematics; Rank (graph theory); Simple Lie group; Homology (biology); Lie group; Combinatorics; Algebra over a field; Affine Lie algebra","score_opus":0.07444475038293479,"score_gpt":0.3353449505863103,"score_spread":0.2609002002033755,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991302542","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8884254,0.00044489437,0.030149689,0.0006531268,0.00019222972,0.00004488549,0.00010351954,0.00023227923,0.07975391],"genre_scores_gemma":[0.98341805,0.00012077549,0.0034976806,0.000096078904,0.00014627249,0.000028796665,0.00006922522,0.00002264075,0.01260039],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99958783,0.00006874174,0.000021109458,0.00005548262,0.00013780568,0.00012905731],"domain_scores_gemma":[0.99935013,0.00008889055,0.00010655732,0.00005738559,0.00010555218,0.0002915176],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005664976,0.0004796368,0.0005371893,0.0013847346,0.0012016508,0.0016444707,0.00060158095,0.00048875104,0.0064383587],"category_scores_gemma":[0.0009387343,0.00030517724,0.00047166125,0.0005234817,0.0020264497,0.0025088082,0.0021480038,0.0010799154,0.00064519927],"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":[0.000040009647,0.000030537347,0.0001844028,0.000019810708,0.0000043402715,0.00016955126,0.00023335208,0.00062843284,0.002865917,0.9937243,0.00031444378,0.0017849033],"study_design_scores_gemma":[0.00004022016,0.00006915808,0.00050971773,0.000009850821,0.0000058146843,0.00023877212,0.00026019142,0.007511708,0.0024208466,0.9866905,0.0022262305,0.000016983755],"about_ca_topic_score_codex":0.0009589069,"about_ca_topic_score_gemma":0.0014905666,"teacher_disagreement_score":0.0064383587,"about_ca_system_score_codex":0.0010239278,"about_ca_system_score_gemma":0.0009047471,"threshold_uncertainty_score":0.021538436},"labels":[],"label_agreement":null},{"id":"W1991988774","doi":"10.1080/00927870802278529","title":"Group Gradings on<i>G</i><sub>2</sub>","year":2009,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Algebraically closed field; Abelian group; Pure mathematics; Zero (linguistics); Group (periodic table); Algebra over a field; Simple (philosophy); Type (biology); Combinatorics; Discrete mathematics","score_opus":0.04750992067062485,"score_gpt":0.3170952650716206,"score_spread":0.26958534440099574,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991988774","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78547686,0.0004707225,0.05269042,0.0006175566,0.0007652146,0.00016613927,0.00028039198,0.00059001497,0.1589427],"genre_scores_gemma":[0.9546462,0.000306685,0.008827929,0.00017725259,0.0001892075,0.00006729622,0.00019759721,0.00015842488,0.035429325],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99958104,0.000059532726,0.000023245882,0.000059389717,0.00013749076,0.00013930396],"domain_scores_gemma":[0.9995863,0.0000429456,0.00006356646,0.00006501529,0.00008560128,0.00015672919],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003357521,0.0006743576,0.00037243153,0.0012936015,0.001274954,0.0019125075,0.00053402636,0.00049462117,0.005960481],"category_scores_gemma":[0.00068018574,0.00019540603,0.00061969395,0.00054696266,0.0020208738,0.0021034991,0.0013592914,0.0010363652,0.0010820492],"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":[0.00009420917,0.0000792721,0.0018032305,0.00006525585,0.00001785967,0.00096013787,0.0015238121,0.001304317,0.014652103,0.9580901,0.0028925287,0.018517109],"study_design_scores_gemma":[0.00003305332,0.00014002754,0.00244156,0.00003134007,0.000017690245,0.0011759837,0.00064726954,0.0028807316,0.008982862,0.9566651,0.026920442,0.00006389936],"about_ca_topic_score_codex":0.0007030818,"about_ca_topic_score_gemma":0.0008044901,"teacher_disagreement_score":0.005960481,"about_ca_system_score_codex":0.0007706728,"about_ca_system_score_gemma":0.00035408072,"threshold_uncertainty_score":0.01993984},"labels":[],"label_agreement":null},{"id":"W1993127397","doi":"10.1081/agb-200058361","title":"Examples in Finite Gel'fand–Kirillov Dimension. II","year":2005,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","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":"Simon Fraser University","funders":"","keywords":"Mathematics; Krull dimension; Finitely-generated abelian group; Dimension (graph theory); Prime (order theory); Dimension theory (algebra); Global dimension; Pure mathematics; Algebra over a field; Discrete mathematics; Combinatorics; Noetherian","score_opus":0.10210839184063207,"score_gpt":0.37006955447420053,"score_spread":0.26796116263356845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993127397","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7146788,0.002073787,0.05392258,0.0018147544,0.00016045925,0.00005465394,0.000420173,0.00036961242,0.22650516],"genre_scores_gemma":[0.98701805,0.00020457474,0.0063703638,0.00007075525,0.00003632767,0.000021898604,0.00010372287,0.000014504023,0.0061597885],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996203,0.00006991369,0.000014389773,0.000047994785,0.00014891272,0.00009832659],"domain_scores_gemma":[0.99959975,0.00012099332,0.00006264647,0.000057322522,0.00007247696,0.00008677079],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035820284,0.00019633798,0.00026560988,0.0011023895,0.0013114067,0.001520093,0.00047978587,0.0004482564,0.0045592375],"category_scores_gemma":[0.00082136085,0.00019850835,0.00032994503,0.00075037294,0.0021473079,0.0019070095,0.001339935,0.00078415126,0.00042275526],"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":[0.000029315928,0.000007047722,0.00038973166,0.000042727173,0.0000041005515,0.00016331553,0.00033559778,0.0004759684,0.0011906134,0.9950545,0.0007544813,0.0015526409],"study_design_scores_gemma":[0.00002229468,0.000017009801,0.001428195,0.000023249044,0.000008461541,0.00050537963,0.00048745173,0.0031545195,0.002364365,0.97723776,0.014733364,0.000017943654],"about_ca_topic_score_codex":0.0006971237,"about_ca_topic_score_gemma":0.0007242875,"teacher_disagreement_score":0.0045592375,"about_ca_system_score_codex":0.0011193809,"about_ca_system_score_gemma":0.00027872314,"threshold_uncertainty_score":0.015252233},"labels":[],"label_agreement":null},{"id":"W1995046129","doi":"10.1080/00927870500261132","title":"Sequentially Cohen-Macaulay Modules Under Base Change","year":2005,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":8,"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":"York University","keywords":"Mathematics; Base change; Descent (aeronautics); Noetherian; Base (topology); Finitely-generated abelian group; Commutative property; Homomorphism; Local ring; Pure mathematics; Noetherian ring; Local cohomology; Combinatorics; Discrete mathematics; Algebra over a field; Ring (chemistry); Mathematical analysis","score_opus":0.20245653462759478,"score_gpt":0.3979545304956919,"score_spread":0.19549799586809713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1995046129","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9634596,0.00012055941,0.023373365,0.00018455698,0.00004525412,0.000026782076,0.00005241256,0.00013367522,0.012603685],"genre_scores_gemma":[0.9920488,0.00007509859,0.0035158,0.00005244637,0.000052325173,0.000026439986,0.00004781312,0.000013587159,0.00416772],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993432,0.00011506558,0.000031404485,0.00015510814,0.00020475406,0.00015041426],"domain_scores_gemma":[0.99852717,0.00032086,0.00029688684,0.00018067422,0.00030270946,0.00037164617],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010156614,0.0002937784,0.00036615733,0.0011383704,0.0010372121,0.0011628203,0.00046479885,0.00040409472,0.002227355],"category_scores_gemma":[0.0019006813,0.00027245525,0.00055446004,0.00057946146,0.0021894805,0.00230501,0.0013508436,0.00096317753,0.00036567816],"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":[0.0002894581,0.00010115955,0.0042208526,0.000053314154,0.000036420635,0.0011873588,0.001991587,0.0027879155,0.029549593,0.94810295,0.00046341014,0.011216089],"study_design_scores_gemma":[0.00015578455,0.00071683933,0.010373491,0.00002595815,0.000055212913,0.00232473,0.0006652633,0.011679358,0.045434374,0.92017543,0.008328037,0.0000655397],"about_ca_topic_score_codex":0.00047544422,"about_ca_topic_score_gemma":0.0003204415,"teacher_disagreement_score":0.002227355,"about_ca_system_score_codex":0.00082777615,"about_ca_system_score_gemma":0.00046827496,"threshold_uncertainty_score":0.007451296},"labels":[],"label_agreement":null},{"id":"W1996428917","doi":"10.1080/00927870500243072","title":"Quotients of Incidence Algebras and the Euler Characteristic","year":2007,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Quotient; Partially ordered set; Quiver; Incidence (geometry); Euler characteristic; Euler's formula; Incidence algebra; Pure mathematics; Connected component; Combinatorics; Simply connected space; Discrete mathematics; Algebra over a field; Division algebra; Subalgebra; Mathematical analysis; Geometry","score_opus":0.04323193711821394,"score_gpt":0.3354939070641133,"score_spread":0.29226196994589937,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996428917","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8913208,0.0004480126,0.046423245,0.00042338215,0.00006950197,0.00004415312,0.00012952447,0.000115163006,0.061026335],"genre_scores_gemma":[0.9928566,0.00015778013,0.0025731747,0.000031567917,0.000048334918,0.000014239267,0.00007774461,0.000017441092,0.0042231483],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939716,0.00010663756,0.000049833856,0.000118032185,0.00020276532,0.00012561824],"domain_scores_gemma":[0.998814,0.00035849665,0.00020765534,0.00013104166,0.00020783304,0.00028089606],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00061954424,0.0003173045,0.00039081916,0.001411775,0.001017079,0.002258105,0.0004714484,0.00025456335,0.0046913913],"category_scores_gemma":[0.0018080006,0.00026857297,0.0004678297,0.0007135464,0.0028108107,0.0052264486,0.0021074675,0.0009265313,0.0004567853],"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":[0.000035384346,0.000025617293,0.0014581435,0.000019110881,0.00000642915,0.00009733224,0.0003579612,0.0006662232,0.001498314,0.99151784,0.00021306305,0.0041045407],"study_design_scores_gemma":[0.0000139240665,0.000033839402,0.0009395479,0.0000104752025,0.000011311402,0.00021023901,0.00019827503,0.0038729678,0.0022672417,0.98917633,0.0032532348,0.000012629326],"about_ca_topic_score_codex":0.0006035673,"about_ca_topic_score_gemma":0.00064932613,"teacher_disagreement_score":0.0046913913,"about_ca_system_score_codex":0.00091025286,"about_ca_system_score_gemma":0.00039445114,"threshold_uncertainty_score":0.01569426},"labels":[],"label_agreement":null},{"id":"W1996758324","doi":"10.1080/00927872.2012.700982","title":"Modules Over Cluster-Tilted Algebras Determined by Their Dimension Vectors","year":2013,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies; Agence Nationale de la Recherche; Université de Sherbrooke; University of Missouri","keywords":"Indecomposable module; Mathematics; Dimension (graph theory); Cluster algebra; Conjecture; Cluster (spacecraft); Pure mathematics; Global dimension; Algebra over a field; Combinatorics; Computer science; Physics","score_opus":0.03273284098512128,"score_gpt":0.29677630654407366,"score_spread":0.26404346555895236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996758324","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82045037,0.00029262019,0.13587025,0.0003210292,0.00015523328,0.00005418032,0.0004486011,0.00034884014,0.04205885],"genre_scores_gemma":[0.9836399,0.00014934812,0.00792226,0.000053907537,0.0000640141,0.00003162865,0.00022080264,0.000057865356,0.007860233],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989411,0.00010121533,0.000068252295,0.00031506043,0.00027733043,0.0002970572],"domain_scores_gemma":[0.9987035,0.00016095604,0.00028051587,0.00030080212,0.0002523845,0.00030188845],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006169642,0.0005042561,0.0005462934,0.001481985,0.0011308005,0.0027518559,0.0007541253,0.00039842873,0.006378579],"category_scores_gemma":[0.0018792963,0.00033198937,0.0005433956,0.0009914922,0.0026197808,0.004312329,0.002533907,0.0014224261,0.0009701022],"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":[0.000055395856,0.000026205109,0.002212841,0.000040183713,0.000014306181,0.00013625086,0.0004952241,0.000954224,0.00540415,0.9842061,0.0005471258,0.0059080804],"study_design_scores_gemma":[0.00003095362,0.00006530484,0.0033342303,0.000029162826,0.0000405325,0.00046941082,0.00057023467,0.007918412,0.016153073,0.964192,0.007115745,0.00008103606],"about_ca_topic_score_codex":0.00072092254,"about_ca_topic_score_gemma":0.0007029718,"teacher_disagreement_score":0.006378579,"about_ca_system_score_codex":0.0008524302,"about_ca_system_score_gemma":0.00066969055,"threshold_uncertainty_score":0.021338522},"labels":[],"label_agreement":null},{"id":"W1997252857","doi":"10.1081/agb-120037354","title":"The Simple Connectedness of a Tame Weakly Shod Algebra","year":2004,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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":true,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Subcategory; Social connectedness; Pure mathematics; Cohomology; Type (biology); Simply connected space; Graph; Combinatorics; Connected component; Bounded function; Derived category; Algebra over a field; Mathematical analysis","score_opus":0.05557738001248999,"score_gpt":0.3435041350314932,"score_spread":0.2879267550190032,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1997252857","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9585844,0.00013241159,0.025478864,0.00020157958,0.0000134420925,0.000019232426,0.000108823384,0.000078004174,0.015383134],"genre_scores_gemma":[0.99609804,0.000044334134,0.001848173,0.000016786771,0.000007868237,0.000008516643,0.000066137094,0.0000063597745,0.0019038075],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996902,0.000043328644,0.000021334783,0.00008669171,0.00009270917,0.00006580425],"domain_scores_gemma":[0.9991252,0.00023735882,0.000119533535,0.00011931099,0.0001656068,0.00023303374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030376966,0.00018680732,0.0002873824,0.0013602808,0.0013000946,0.0016172125,0.00034305544,0.00032779266,0.0056396513],"category_scores_gemma":[0.00090559403,0.00026081008,0.00026046194,0.000818521,0.0031665869,0.0027226682,0.0022290926,0.00043853043,0.00033739881],"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":[0.00014650739,0.00003699528,0.0077906502,0.00009641159,0.000026568214,0.0005692335,0.00144324,0.0012049156,0.013268098,0.9659881,0.0004228244,0.009006476],"study_design_scores_gemma":[0.000042258613,0.000090406465,0.010241577,0.00003551284,0.000051105475,0.0009702224,0.0022212593,0.014694487,0.015725797,0.94601625,0.009873623,0.000037553593],"about_ca_topic_score_codex":0.0007594969,"about_ca_topic_score_gemma":0.00095376885,"teacher_disagreement_score":0.0056396513,"about_ca_system_score_codex":0.0005808043,"about_ca_system_score_gemma":0.00026773414,"threshold_uncertainty_score":0.01886648},"labels":[],"label_agreement":null},{"id":"W1998442488","doi":"10.1081/agb-120037212","title":"Gelfand–Kirillov Dimension and Local Finiteness of Jordan Superpairs Covered by Grids and Their Associated Lie Superalgebras","year":2004,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","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 Ottawa","funders":"","keywords":"Mathematics; Lie superalgebra; Dimension (graph theory); Pure mathematics; Lie algebra; Superalgebra; Algebra over a field; Affine Lie algebra; Current algebra","score_opus":0.03617760179954569,"score_gpt":0.3031549145151333,"score_spread":0.2669773127155876,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1998442488","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97660553,0.00012703343,0.016173493,0.00008829763,0.00001458961,0.000008370657,0.000028509548,0.000046134737,0.0069080787],"genre_scores_gemma":[0.9959472,0.000060862323,0.0026100131,0.000016768181,0.000013445091,0.00001087672,0.000034171877,0.000007082208,0.0012997001],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99974626,0.000047678823,0.000013343048,0.000042707157,0.000085189014,0.00006484276],"domain_scores_gemma":[0.9993831,0.00010757917,0.00016268963,0.0000707555,0.00009296423,0.00018290638],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003105791,0.00019947086,0.00039990232,0.0009010521,0.0010119929,0.0009581065,0.00040664774,0.0002637566,0.0024251358],"category_scores_gemma":[0.0008271245,0.00017472968,0.00036242834,0.0003887452,0.0013238752,0.0018959768,0.001199974,0.00053968997,0.0002569322],"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":[0.00013078093,0.0000454995,0.0045567024,0.000054279273,0.000035992514,0.0004901767,0.00093055266,0.005312485,0.011729626,0.970161,0.0003578632,0.0061950646],"study_design_scores_gemma":[0.000029424491,0.000105668616,0.0042403913,0.000026173402,0.000027420625,0.0006052355,0.0009671793,0.023701336,0.009551382,0.9573936,0.0033186493,0.000033476837],"about_ca_topic_score_codex":0.00068186055,"about_ca_topic_score_gemma":0.0006705422,"teacher_disagreement_score":0.0024251358,"about_ca_system_score_codex":0.0005085846,"about_ca_system_score_gemma":0.0002878491,"threshold_uncertainty_score":0.008112907},"labels":[],"label_agreement":null},{"id":"W1999675502","doi":"10.1080/00927872.2012.674589","title":"Good Gradings of Generalized Incidence Rings","year":2013,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","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":"Memorial University of Newfoundland; University of Colorado Colorado Springs; Truman State University","keywords":"Mathematics; Incidence (geometry); Pure mathematics; Algebra over a field; Geometry","score_opus":0.06465551993101697,"score_gpt":0.32401904346501054,"score_spread":0.25936352353399356,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999675502","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7912096,0.0008313542,0.11250876,0.000689493,0.00034195048,0.00011669732,0.00018557294,0.00036354508,0.09375312],"genre_scores_gemma":[0.97960275,0.00021889419,0.011075577,0.000098311866,0.00013324169,0.000027990065,0.000093792216,0.000034401124,0.008714955],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99875724,0.00023986462,0.0000818666,0.00024065052,0.0004150036,0.0002652528],"domain_scores_gemma":[0.9980995,0.00031421374,0.00031290934,0.0003674771,0.00036507612,0.0005408595],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016231439,0.00036155732,0.00039460065,0.0011443032,0.0011239365,0.0024541928,0.00046413142,0.00032454383,0.004141521],"category_scores_gemma":[0.0022495782,0.00034355864,0.0006592645,0.0005332243,0.0026179175,0.0046455706,0.0021720943,0.0012803095,0.00043653554],"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":[0.000028544891,0.000020181029,0.00083974673,0.000031814136,0.000009262857,0.00011336948,0.0004320418,0.0007846687,0.0025572302,0.9887425,0.00045357048,0.0059870332],"study_design_scores_gemma":[0.000030766696,0.000103646074,0.0020388113,0.000023932216,0.000025447907,0.00033321552,0.0003525733,0.0029923378,0.004170262,0.97842705,0.011469287,0.000032611137],"about_ca_topic_score_codex":0.00050815626,"about_ca_topic_score_gemma":0.0006892108,"teacher_disagreement_score":0.004141521,"about_ca_system_score_codex":0.0009996169,"about_ca_system_score_gemma":0.00042705177,"threshold_uncertainty_score":0.013854742},"labels":[],"label_agreement":null},{"id":"W1999835177","doi":"10.1080/00927870008827082","title":"Un groupe unipotent universel","year":2000,"lang":"fr","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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 Alberta","funders":"","keywords":"Unipotent; Mathematics; Quotient; Algebraic group; Affine transformation; Lie algebra; Pure mathematics; Algebra over a field; Algebraic number; Combinatorics","score_opus":0.03893390491817761,"score_gpt":0.29204751421440517,"score_spread":0.25311360929622756,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999835177","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86793154,0.0008811097,0.07569749,0.00051940355,0.0001879784,0.000057809637,0.00010989178,0.00012617299,0.054488588],"genre_scores_gemma":[0.9676097,0.000610392,0.012626123,0.00008595409,0.00027140538,0.000032041262,0.0001591911,0.000025758307,0.018579468],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99945766,0.00008551568,0.000020064761,0.00012992018,0.00019445496,0.00011241339],"domain_scores_gemma":[0.9995578,0.00009345574,0.00009944707,0.00005974508,0.00009700423,0.000092505514],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005302936,0.00039602854,0.0003871012,0.0012168393,0.001402642,0.0021467868,0.00051818346,0.0004976151,0.0034258119],"category_scores_gemma":[0.0009371253,0.00020166261,0.0004939622,0.00080967176,0.0022877674,0.0026193797,0.0013249359,0.0010079402,0.00065106625],"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":[0.0000657284,0.000029208588,0.0007331748,0.000042652497,0.000012830427,0.0003786025,0.0010493147,0.0015835844,0.009172007,0.97397363,0.00032572466,0.012633396],"study_design_scores_gemma":[0.00005367908,0.00038924956,0.002953604,0.000046625275,0.000047659276,0.00143089,0.0017875996,0.01690061,0.027790425,0.8942766,0.054265708,0.000057443063],"about_ca_topic_score_codex":0.00077798846,"about_ca_topic_score_gemma":0.00048752312,"teacher_disagreement_score":0.0034258119,"about_ca_system_score_codex":0.00093520584,"about_ca_system_score_gemma":0.00033701368,"threshold_uncertainty_score":0.011460483},"labels":[],"label_agreement":null},{"id":"W2001313999","doi":"10.1080/00927872.2011.607873","title":"On Embedding Rings in Clean Rings","year":2013,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University; University of Ottawa","funders":"","keywords":"Principal ideal ring; Mathematics; Reduced ring; Ring (chemistry); Primitive ring; Commutative ring; Noncommutative ring; Boolean ring; Simple ring; Primary ideal; Unit (ring theory); Idempotence; Ideal (ethics); Von Neumann regular ring; Radical of a ring; Minimal ideal; Pure mathematics; Maximal ideal; Commutative property; Chemistry","score_opus":0.05927108989846617,"score_gpt":0.33631435614640554,"score_spread":0.27704326624793935,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2001313999","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16310866,0.021832017,0.4190774,0.0057361987,0.0014758769,0.000099612764,0.0003758801,0.00081010745,0.3874842],"genre_scores_gemma":[0.8622423,0.009883502,0.068284385,0.0010540736,0.001539308,0.00009671981,0.0002932438,0.00026797396,0.05633845],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99901927,0.00040943275,0.00003739472,0.0001748599,0.00021276299,0.00014617632],"domain_scores_gemma":[0.9985619,0.0006748441,0.00012866472,0.00028536937,0.0002004811,0.00014868681],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012476346,0.0004698197,0.00038962037,0.0010475483,0.0011553878,0.0027907186,0.0004870131,0.0006397692,0.007326769],"category_scores_gemma":[0.002490778,0.0004125375,0.00051893125,0.0009584653,0.003591457,0.008917535,0.0031188473,0.001732566,0.0016970857],"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":[0.00002419642,0.000010633401,0.00012292294,0.00004713796,0.000004005687,0.00009071569,0.00039826042,0.00050707813,0.00092406844,0.9900884,0.0011349859,0.006647601],"study_design_scores_gemma":[0.000008975031,0.00005233914,0.00035783887,0.000045945122,0.000010685663,0.00025653958,0.00037931147,0.002136331,0.0013598007,0.94785523,0.047522273,0.000014788296],"about_ca_topic_score_codex":0.0003969383,"about_ca_topic_score_gemma":0.00038168996,"teacher_disagreement_score":0.007326769,"about_ca_system_score_codex":0.00070107414,"about_ca_system_score_gemma":0.00031758507,"threshold_uncertainty_score":0.024510503},"labels":[],"label_agreement":null},{"id":"W2005581001","doi":"10.1081/agb-120024874","title":"Submodule Lattice of Generalized Verma Modules","year":2003,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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":"University of Windsor","funders":"","keywords":"Verma module; Mathematics; Simple module; Pure mathematics; Quotient; Subalgebra; Lattice (music); Simple (philosophy); Algebra over a field; Lie algebra; Physics","score_opus":0.07506574800010922,"score_gpt":0.34067479638422593,"score_spread":0.2656090483841167,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005581001","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95145893,0.00039207272,0.031307664,0.00022319324,0.00007904421,0.000033698812,0.0001324393,0.0002397846,0.016133094],"genre_scores_gemma":[0.9873771,0.000086885106,0.0067990655,0.00005150031,0.000058603,0.000030323323,0.00012460028,0.000022937407,0.005449006],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949265,0.00010770328,0.00002943158,0.00010086524,0.00016201333,0.00010725187],"domain_scores_gemma":[0.99939644,0.0000783511,0.0001024046,0.000066652785,0.00011882914,0.0002373497],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042145737,0.0002477225,0.0005021196,0.0011412585,0.0008624804,0.0020644306,0.000553387,0.00028815857,0.0031633256],"category_scores_gemma":[0.0007620993,0.00021731846,0.0004133019,0.00050850876,0.0018460337,0.0017128541,0.0013175468,0.0006666216,0.0005043648],"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":[0.000170607,0.000092521266,0.0021795752,0.00009271851,0.00004492691,0.0006549182,0.0005376921,0.0034899784,0.030429503,0.9474039,0.00078468444,0.014118954],"study_design_scores_gemma":[0.000044766475,0.0001697156,0.002276941,0.00003188974,0.00002605991,0.0008850594,0.00044366493,0.019095391,0.018305205,0.94961816,0.009054974,0.000048242204],"about_ca_topic_score_codex":0.00040898728,"about_ca_topic_score_gemma":0.0005026533,"teacher_disagreement_score":0.0031633256,"about_ca_system_score_codex":0.0006422422,"about_ca_system_score_gemma":0.0004393298,"threshold_uncertainty_score":0.010582447},"labels":[],"label_agreement":null},{"id":"W2009038099","doi":"10.1080/00927872.2011.618856","title":"On Rings with the Goodearl–Menal Condition","year":2012,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; China Scholarship Council","keywords":"Mathematics; Ring (chemistry); Unit (ring theory); Principal ideal ring; Homomorphic encryption; Primitive ring; Reduced ring; Pure mathematics; Artinian ring; Image (mathematics); Combinatorics; Discrete mathematics; Algebra over a field; Commutative ring; Noetherian; Computer science","score_opus":0.06116098225668519,"score_gpt":0.32656732987824755,"score_spread":0.26540634762156234,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2009038099","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6709409,0.007509918,0.10553846,0.0038184053,0.0005304717,0.0001209082,0.0006109119,0.00030458896,0.21062553],"genre_scores_gemma":[0.9694932,0.0018182945,0.017581228,0.0004069331,0.00059135875,0.000058062917,0.00030337152,0.00003827001,0.009709253],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976689,0.0006902571,0.00016550205,0.0004991687,0.00051092595,0.0004651484],"domain_scores_gemma":[0.99676514,0.0011204146,0.0006039542,0.00056982186,0.0004952063,0.00044532935],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034421922,0.00047220063,0.00088889856,0.0018644292,0.0017223466,0.0026642138,0.0005314076,0.0009253355,0.0052355947],"category_scores_gemma":[0.005028192,0.00041409186,0.000825604,0.0014180851,0.0059191133,0.0072206086,0.003239749,0.0012622561,0.0010244547],"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":[0.00010446519,0.000014803208,0.0006806388,0.00007646176,0.000014117454,0.00019832424,0.00037218258,0.00084991055,0.0012324282,0.9901534,0.001086366,0.0052169696],"study_design_scores_gemma":[0.000052433807,0.00011050193,0.0021049618,0.00006451861,0.00002717834,0.00043454624,0.00054011686,0.0041517518,0.0023388688,0.9745302,0.015587262,0.00005760666],"about_ca_topic_score_codex":0.0009882983,"about_ca_topic_score_gemma":0.000731326,"teacher_disagreement_score":0.0052355947,"about_ca_system_score_codex":0.0009898994,"about_ca_system_score_gemma":0.00072866195,"threshold_uncertainty_score":0.018204272},"labels":[],"label_agreement":null},{"id":"W2009885108","doi":"10.1080/00927870802282885","title":"Strongly Clean Property and Stable Range One of Some Rings","year":2009,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","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":true,"ca_institutions":"Memorial University of Newfoundland","funders":"University of Connecticut","keywords":"Mathematics; Idempotence; Ring (chemistry); Matrix ring; Unit (ring theory); Element (criminal law); Idempotent matrix; Range (aeronautics); Pure mathematics; Discrete mathematics; Combinatorics; Chemistry; Law","score_opus":0.07791602262404547,"score_gpt":0.30747788722921104,"score_spread":0.2295618646051656,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2009885108","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8323109,0.00080803724,0.14195493,0.00084688194,0.00012232029,0.00007070509,0.00027412074,0.0003320129,0.023280097],"genre_scores_gemma":[0.98615414,0.000113104186,0.010728331,0.000061411345,0.000086047025,0.000026727756,0.00009381291,0.000022554426,0.0027138146],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984328,0.0003019647,0.0001258956,0.00044157752,0.0004590016,0.00023875711],"domain_scores_gemma":[0.9952603,0.0013528019,0.0009166335,0.0006851327,0.0010254488,0.000759704],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013472987,0.0002439312,0.0005551912,0.0012568365,0.0015430012,0.0020951428,0.0004172736,0.00048882555,0.003752154],"category_scores_gemma":[0.00275626,0.00032861214,0.00070451474,0.00054523215,0.003359277,0.0034153862,0.00212344,0.001083419,0.00038840162],"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":[0.0004202357,0.00010515004,0.0056188754,0.00019025765,0.00007588886,0.0006845426,0.0013651751,0.0014400407,0.035496186,0.94033426,0.0009451608,0.013324208],"study_design_scores_gemma":[0.000112136644,0.0007775976,0.011629438,0.000059785332,0.00013809415,0.0034798293,0.001610533,0.0134596,0.07752288,0.8683731,0.022682976,0.00015396807],"about_ca_topic_score_codex":0.00018106279,"about_ca_topic_score_gemma":0.00016000649,"teacher_disagreement_score":0.003752154,"about_ca_system_score_codex":0.00039696062,"about_ca_system_score_gemma":0.00038918643,"threshold_uncertainty_score":0.012552142},"labels":[],"label_agreement":null},{"id":"W2010252940","doi":"10.1080/00927870902747241","title":"Strictly Stratified Algebras Revisited","year":2009,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Endomorphism; Conjecture; Algebra over a field; Pure mathematics","score_opus":0.0701999173954881,"score_gpt":0.35341670832646566,"score_spread":0.28321679093097757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2010252940","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15098427,0.026933542,0.13202116,0.016025651,0.0024590914,0.000093901144,0.0009670489,0.0004634815,0.6700518],"genre_scores_gemma":[0.9157117,0.005806252,0.01759295,0.003363431,0.0011059266,0.00004555441,0.00046401596,0.00006499847,0.055845156],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99911803,0.00020054796,0.000055413562,0.00017587081,0.00027778244,0.00017247244],"domain_scores_gemma":[0.9994894,0.000114839466,0.00007709722,0.0000725723,0.00015487465,0.0000911275],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008502156,0.00035916435,0.00035829452,0.0013864475,0.0021483635,0.0029138888,0.0006216401,0.00091843156,0.010023673],"category_scores_gemma":[0.0014053455,0.00025594298,0.00056750444,0.0017646041,0.0034975272,0.0052492963,0.0023894156,0.0015145584,0.001311516],"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":[0.00000333456,0.000001964014,0.00013659062,0.000014169143,0.000001684309,0.000034241308,0.0002030946,0.00005283996,0.00017329506,0.99590576,0.0012149292,0.0022580621],"study_design_scores_gemma":[0.0000037703453,0.000009902069,0.0003448249,0.000028085722,0.00000560466,0.00028814547,0.00023725268,0.0005761838,0.00032922643,0.94919056,0.04897866,0.000007704718],"about_ca_topic_score_codex":0.0033279655,"about_ca_topic_score_gemma":0.002813287,"teacher_disagreement_score":0.010023673,"about_ca_system_score_codex":0.0020236783,"about_ca_system_score_gemma":0.0014295263,"threshold_uncertainty_score":0.03353256},"labels":[],"label_agreement":null},{"id":"W2013628423","doi":"10.1081/agb-120024869","title":"On<i>t</i>-Structures and Tilting Theory","year":2003,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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":"Consejo Nacional de Investigaciones Científicas y Técnicas; Xunta de Galicia; Université de Sherbrooke","keywords":"Mathematics; Connection (principal bundle); Associative property; Unit (ring theory); Ring (chemistry); Algebra over a field; Pure mathematics; Structured program theorem; Discrete mathematics; Geometry; Mathematics education","score_opus":0.05288969696979105,"score_gpt":0.3329184162899462,"score_spread":0.2800287193201551,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2013628423","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62497306,0.003448206,0.13388374,0.0034393007,0.00056235393,0.0000623254,0.00022444002,0.00026108252,0.23314561],"genre_scores_gemma":[0.9812299,0.0009484161,0.009352443,0.00031227845,0.00031661647,0.000023343486,0.00012413159,0.000031060346,0.0076617324],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99941325,0.00012575512,0.00003658364,0.00011828448,0.00016555995,0.0001405523],"domain_scores_gemma":[0.9988244,0.00030155465,0.0001978289,0.0001669834,0.00023963243,0.00026963034],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00088485464,0.00032524508,0.00036760935,0.0010033796,0.0010531186,0.0031060702,0.0004943355,0.0007007589,0.005921024],"category_scores_gemma":[0.0016176337,0.00025136312,0.00040573368,0.0010155496,0.0043095658,0.005338886,0.0020849302,0.0014432885,0.00068063027],"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":[0.00001529398,0.000009224942,0.00032918778,0.000015604524,0.000002585461,0.00012951782,0.00021777663,0.00043640373,0.0011167929,0.9942807,0.00044461546,0.0030022126],"study_design_scores_gemma":[0.00001077736,0.00002606683,0.0006081322,0.000018921894,0.0000043948485,0.00020583514,0.0002317383,0.002681127,0.0013905551,0.9902138,0.00459758,0.000011067927],"about_ca_topic_score_codex":0.0009596325,"about_ca_topic_score_gemma":0.0007430493,"teacher_disagreement_score":0.005921024,"about_ca_system_score_codex":0.0014169437,"about_ca_system_score_gemma":0.00050290086,"threshold_uncertainty_score":0.019807816},"labels":[],"label_agreement":null},{"id":"W2014207003","doi":"10.1080/00927870008841086","title":"Cayley-dickson algebras and<i>RA</i>loops","year":2000,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Mathematics and Applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Homomorphic encryption; Loop (graph theory); Pure mathematics; Algebra over a field; Image (mathematics); Combinatorics; Computer science; Artificial intelligence","score_opus":0.07295925427953186,"score_gpt":0.3548187109991083,"score_spread":0.2818594567195764,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2014207003","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6962421,0.0016338937,0.09414671,0.00063605595,0.00044702602,0.00007341161,0.00039484916,0.0010533704,0.20537265],"genre_scores_gemma":[0.9683589,0.00044421348,0.012474342,0.00020036768,0.00017396329,0.00003816564,0.00035996945,0.0000764059,0.017873745],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99964416,0.00006267878,0.000018170369,0.000074469455,0.000103862396,0.000096651725],"domain_scores_gemma":[0.99935776,0.00009629958,0.00014900384,0.00007497688,0.0001597546,0.00016220091],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030613362,0.00034370835,0.00026610997,0.001057961,0.0008113052,0.0022044322,0.0004898478,0.00042408664,0.006826457],"category_scores_gemma":[0.0007376827,0.00019928836,0.00047869454,0.00076127215,0.0013881155,0.002635885,0.0011084973,0.0009957042,0.00085003785],"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":[0.000031675998,0.000016823826,0.00027617926,0.000026343949,0.0000049813684,0.00010913995,0.00019403454,0.00041423927,0.0026737086,0.98928285,0.0007094964,0.0062605822],"study_design_scores_gemma":[0.00002588221,0.0000777097,0.0009075634,0.000024375795,0.00001547692,0.00048321995,0.00032280415,0.0043937545,0.006952941,0.9665931,0.020170527,0.000032665364],"about_ca_topic_score_codex":0.0006649186,"about_ca_topic_score_gemma":0.0005105406,"teacher_disagreement_score":0.006826457,"about_ca_system_score_codex":0.00091968814,"about_ca_system_score_gemma":0.00045569497,"threshold_uncertainty_score":0.022836804},"labels":[],"label_agreement":null},{"id":"W2016130162","doi":"10.1081/agb-120014672","title":"A SIMPLE EXAMPLE OF A NON-FINITELY BASED SYSTEM OF POLYNOMIAL IDENTITIES","year":2002,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","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 Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Simple (philosophy); Polynomial; Finitely-generated abelian group; Associative property; Field (mathematics); Prime (order theory); Pure mathematics; Algebra over a field; Discrete mathematics; Combinatorics; Mathematical analysis","score_opus":0.11733789958161042,"score_gpt":0.3445671651045746,"score_spread":0.22722926552296416,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016130162","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41946122,0.0005131206,0.38201082,0.0027846133,0.00057137094,0.00018608684,0.00065610785,0.0011220466,0.19269453],"genre_scores_gemma":[0.95625234,0.00008801422,0.032865003,0.00012939572,0.000064384345,0.00005646549,0.00015945495,0.00005821319,0.010326706],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985618,0.00032077718,0.00007870172,0.00022597083,0.0005613201,0.00025150014],"domain_scores_gemma":[0.99874854,0.0003796543,0.000114897906,0.00029341326,0.0002913821,0.00017215713],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006661018,0.00026725978,0.0005094301,0.0007657394,0.0023619416,0.0019477654,0.0014076936,0.0013708827,0.010323387],"category_scores_gemma":[0.0020299521,0.00026287566,0.0005603958,0.00085146213,0.002736886,0.0027232196,0.0030280019,0.0018932734,0.001181112],"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":[0.000035766447,0.0000287266,0.00031275037,0.00003433576,0.0000079477695,0.0005924955,0.0002708909,0.0010914379,0.0031500931,0.9911213,0.00078152854,0.0025727258],"study_design_scores_gemma":[0.0000689893,0.000079054924,0.00071376696,0.000032988828,0.000026667363,0.00079998816,0.00029158095,0.018935194,0.0076570646,0.9426575,0.0286916,0.000045520937],"about_ca_topic_score_codex":0.00083850336,"about_ca_topic_score_gemma":0.0007619852,"teacher_disagreement_score":0.010323387,"about_ca_system_score_codex":0.0009951522,"about_ca_system_score_gemma":0.0006699587,"threshold_uncertainty_score":0.03453511},"labels":[],"label_agreement":null},{"id":"W2016562201","doi":"10.1081/agb-120039630","title":"On Uniform Diagonalisation of Matrices over Regular Rings and One-Accessible Regular Algebras","year":2004,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada; Concordia University; University of Canterbury","keywords":"Mathematics; Von Neumann regular ring; Subalgebra; Abelian group; Matrix ring; Ring (chemistry); Regular ring; Field (mathematics); Combinatorics; Unit (ring theory); Pure mathematics; Nilpotent; Connection (principal bundle); Algebra over a field; Invertible matrix","score_opus":0.05710304160527046,"score_gpt":0.32127671980391453,"score_spread":0.26417367819864407,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016562201","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5687409,0.0011159712,0.3652564,0.0019951852,0.00019659553,0.00006443811,0.00014229026,0.00034177993,0.062146455],"genre_scores_gemma":[0.9763699,0.00032718343,0.017483292,0.00013319403,0.00015387972,0.000022577637,0.00010943773,0.000043525593,0.005357082],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989507,0.00033152025,0.00006385995,0.00020403655,0.00025550363,0.0001943693],"domain_scores_gemma":[0.9970208,0.0015018017,0.00044286868,0.00040830014,0.00038796966,0.00023827695],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001474741,0.00020507415,0.00037989015,0.0005850228,0.00080698746,0.002061509,0.0007205461,0.0005590053,0.0040022754],"category_scores_gemma":[0.004106086,0.00022479157,0.0005520128,0.00064974464,0.0043746973,0.005981646,0.0020944253,0.0013513409,0.000511017],"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":[0.000030122917,0.000017507333,0.0003172892,0.000023742014,0.0000023618,0.000107642976,0.0004018318,0.00065597525,0.0013049128,0.9937366,0.00037926916,0.0030225622],"study_design_scores_gemma":[0.00001357061,0.00003351955,0.00028529222,0.000018468001,0.000005601134,0.00024667743,0.00030409626,0.009692783,0.0046165423,0.98116094,0.0036089208,0.000013544751],"about_ca_topic_score_codex":0.0005708212,"about_ca_topic_score_gemma":0.00045717362,"teacher_disagreement_score":0.0040022754,"about_ca_system_score_codex":0.00084528566,"about_ca_system_score_gemma":0.00045224474,"threshold_uncertainty_score":0.013388932},"labels":[],"label_agreement":null},{"id":"W2018688081","doi":"10.1081/agb-100107954","title":"NOETHERIAN UNIQUE FACTORIZATION SEMIGROUP ALGEBRAS","year":2001,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"semigroups and automata theory","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":"Memorial University of Newfoundland","funders":"Vrije Universiteit Brussel; Fonds Wetenschappelijk Onderzoek","keywords":"Mathematics; Noetherian; Semigroup; Pure mathematics; Algebra over a field; Factorization; Discrete mathematics; Algorithm","score_opus":0.03086573631311417,"score_gpt":0.28720599582075396,"score_spread":0.2563402595076398,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2018688081","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7884692,0.003244204,0.17585267,0.0013351213,0.00023610066,0.00007761413,0.00014323139,0.00025637678,0.030385504],"genre_scores_gemma":[0.98443395,0.0005486721,0.01162054,0.00007925567,0.00012447982,0.000020908694,0.00009769572,0.000010208973,0.0030642028],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99907696,0.00020686667,0.000068808906,0.00027752927,0.0001640804,0.00020570734],"domain_scores_gemma":[0.99754286,0.0008935628,0.00052922004,0.00024616017,0.00035283828,0.00043542482],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015591282,0.00045934442,0.00055813085,0.000600375,0.0014913197,0.0020652844,0.0006025373,0.00073582487,0.0024193157],"category_scores_gemma":[0.003500322,0.00030809123,0.00052876933,0.0005112703,0.0027628609,0.008492865,0.0014799887,0.0009546753,0.000533209],"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":[0.0001390117,0.00005627454,0.0015910367,0.000089146175,0.000015103104,0.00039356702,0.0010289281,0.0021253442,0.0037398674,0.98038757,0.00081280497,0.009621198],"study_design_scores_gemma":[0.00003442799,0.00012646492,0.0007820582,0.000026454996,0.000020287813,0.00069735304,0.00068656553,0.012856351,0.005718603,0.97381985,0.005203678,0.00002790982],"about_ca_topic_score_codex":0.00047882777,"about_ca_topic_score_gemma":0.00041744488,"teacher_disagreement_score":0.0024193157,"about_ca_system_score_codex":0.00077777647,"about_ca_system_score_gemma":0.00050833577,"threshold_uncertainty_score":0.008245528},"labels":[],"label_agreement":null},{"id":"W2020231667","doi":"10.1081/agb-120037211","title":"The Tits–Kantor–Koecher Construction and Birepresentations of the Jordan Superpair SH(1,<i>n</i>)","year":2004,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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 Ottawa","funders":"","keywords":"Bimodule; Mathematics; Class (philosophy); Pure mathematics; Algebra over a field; Combinatorics; Computer science; Artificial intelligence","score_opus":0.043601614443594276,"score_gpt":0.3237777682758488,"score_spread":0.2801761538322545,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020231667","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8167523,0.00042971346,0.11499024,0.00040602777,0.0001782733,0.00004775117,0.00012274004,0.00013825195,0.066934645],"genre_scores_gemma":[0.96923447,0.00012252035,0.015555985,0.00009984125,0.000062005085,0.000043641587,0.00012417413,0.000036441314,0.014720801],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995433,0.00008978459,0.000026216267,0.00007932445,0.00015837504,0.00010298381],"domain_scores_gemma":[0.99956125,0.000073163064,0.00008662119,0.00006363906,0.00008018894,0.00013509416],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073072826,0.00025393863,0.0003550935,0.0011234425,0.00127028,0.0011548756,0.00051762117,0.00041066474,0.005699894],"category_scores_gemma":[0.0006051467,0.00022897361,0.00044678146,0.00048473585,0.0019145819,0.0023792712,0.0018925366,0.0010998746,0.0007574741],"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":[0.000028989463,0.00001806897,0.0004433449,0.0000220877,0.0000045460642,0.00014565985,0.00040296008,0.00048891903,0.0043618088,0.988638,0.00042372482,0.0050219814],"study_design_scores_gemma":[0.000013677262,0.0000787045,0.001287084,0.000011773503,0.000007357201,0.00059473224,0.00037717112,0.004803885,0.008835864,0.97362447,0.010339694,0.00002565568],"about_ca_topic_score_codex":0.00022010611,"about_ca_topic_score_gemma":0.00020912502,"teacher_disagreement_score":0.005699894,"about_ca_system_score_codex":0.00044957185,"about_ca_system_score_gemma":0.00027998505,"threshold_uncertainty_score":0.019068062},"labels":[],"label_agreement":null},{"id":"W2025381138","doi":"10.1080/00927870601042134","title":"Characterizations of QF Rings","year":2006,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","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":true,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Annihilator; Mathematics; Radical of a ring; Ring (chemistry); Ideal (ethics); Complement (music); Primitive ring; Injective function; Noetherian ring; Principal ideal ring; Noetherian; Injective module; Reduced ring; Pure mathematics; Von Neumann regular ring; Combinatorics; Commutative ring; Algebra over a field; Finitely-generated abelian group; Chemistry; Commutative property","score_opus":0.053169914404491245,"score_gpt":0.31254385900224624,"score_spread":0.259373944597755,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2025381138","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7747888,0.00218041,0.14015749,0.0012011032,0.0001684838,0.00011195411,0.000774238,0.00038627908,0.0802313],"genre_scores_gemma":[0.9885373,0.00020681212,0.0067752195,0.00007892865,0.00012906881,0.000029583178,0.00018880286,0.000018273511,0.004035943],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99874026,0.00029064063,0.00008116525,0.0002580046,0.00034215802,0.00028770088],"domain_scores_gemma":[0.9975036,0.0008488568,0.00041544889,0.00029647275,0.00056563097,0.0003699349],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001308721,0.0002826241,0.00027163874,0.0017479789,0.0010917551,0.0021942025,0.0004172941,0.00041812295,0.006671911],"category_scores_gemma":[0.0023420434,0.00020058756,0.0004227321,0.0008799466,0.0021753977,0.0036875429,0.0018080798,0.0006553028,0.0006352611],"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":[0.00013894992,0.00003563295,0.0038007433,0.000120729725,0.000014698286,0.0004312774,0.0008844657,0.0010993122,0.0073398347,0.9631696,0.0014732837,0.021491595],"study_design_scores_gemma":[0.000061270475,0.00017001604,0.009506357,0.000091755006,0.0000365035,0.0030727603,0.0010868425,0.010487864,0.014694914,0.91164005,0.049079478,0.00007209918],"about_ca_topic_score_codex":0.00044017722,"about_ca_topic_score_gemma":0.00021390039,"teacher_disagreement_score":0.006671911,"about_ca_system_score_codex":0.0009196421,"about_ca_system_score_gemma":0.0003665239,"threshold_uncertainty_score":0.022319734},"labels":[],"label_agreement":null},{"id":"W2027413888","doi":"10.1081/agb-100001688","title":"SOME RESULTS ON BICYCLIC UNITS IN AN INTEGRAL GROUP RING","year":2001,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Bicyclic molecule; Mathematics; Unit (ring theory); Group (periodic table); Group ring; Ring (chemistry); Combinatorics; Pure mathematics; Stereochemistry; Chemistry; Mathematics education","score_opus":0.2521292455176912,"score_gpt":0.422581040451837,"score_spread":0.17045179493414575,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027413888","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5847695,0.0224208,0.06535157,0.0019726616,0.00044850793,0.00012666399,0.0008066131,0.0003905028,0.3237132],"genre_scores_gemma":[0.9766151,0.003991697,0.009279478,0.0002827301,0.00038206272,0.00005313015,0.00047389307,0.000046842404,0.00887505],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995141,0.00010155726,0.00004760438,0.00008178609,0.00014357192,0.000111309935],"domain_scores_gemma":[0.9989993,0.00042839395,0.00017591733,0.00011463798,0.00011237995,0.00016932108],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000813598,0.0005550441,0.00056893425,0.0021691807,0.001252137,0.0017115396,0.0007475384,0.0005517446,0.0082960855],"category_scores_gemma":[0.0021137453,0.00029591477,0.00033898544,0.0025901354,0.0014477128,0.002460766,0.0013432872,0.0010666868,0.0008427138],"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":[0.00021754958,0.00007004644,0.0015054337,0.0005975814,0.000025637086,0.0009577085,0.0008224922,0.0030165182,0.0051364624,0.95660096,0.003243822,0.027805783],"study_design_scores_gemma":[0.000040904997,0.00021161705,0.0018234852,0.00014977745,0.00005798335,0.0007602643,0.0006028167,0.006628187,0.0068042236,0.9524314,0.030448243,0.00004108233],"about_ca_topic_score_codex":0.0005519857,"about_ca_topic_score_gemma":0.0006388906,"teacher_disagreement_score":0.0082960855,"about_ca_system_score_codex":0.0009024363,"about_ca_system_score_gemma":0.0003491502,"threshold_uncertainty_score":0.027753115},"labels":[],"label_agreement":null},{"id":"W2027889542","doi":"10.1081/agb-200061026","title":"The Upper Central Series of the Unit Group of an Integral Group Ring","year":2005,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland; Brock University","funders":"University at Buffalo","keywords":"Mathematics; Group ring; Group (periodic table); Unit (ring theory); Abelian group; Combinatorics; Series (stratigraphy); Torsion (gastropod); Metabelian group; Ring (chemistry); Pure mathematics; Elementary abelian group; Rank of an abelian group; Chemistry","score_opus":0.08951007050162589,"score_gpt":0.36088408124179944,"score_spread":0.27137401074017353,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027889542","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8420786,0.0014102302,0.050032012,0.0006888229,0.00048967375,0.000045823854,0.00015814046,0.00039436328,0.104702294],"genre_scores_gemma":[0.9778857,0.0002744128,0.007268938,0.00009735864,0.00031921087,0.000030656767,0.000080639526,0.000065514534,0.013977519],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99929714,0.00012526057,0.000038626098,0.00010580085,0.00023602376,0.00019724603],"domain_scores_gemma":[0.999119,0.00021986892,0.000141861,0.000116281546,0.00018758989,0.00021539452],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010414048,0.00042783734,0.0007264363,0.0024723667,0.001379048,0.0027416889,0.00088122865,0.00039616672,0.0064899046],"category_scores_gemma":[0.0018686977,0.0002604453,0.00052415376,0.0013828033,0.0035978889,0.0026220318,0.0013278744,0.0011108456,0.0010325286],"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":[0.00018058484,0.00003934539,0.00037378565,0.000039799994,0.00001552385,0.0002561913,0.00047419991,0.0013724826,0.0057826065,0.9771235,0.00086757843,0.013474462],"study_design_scores_gemma":[0.00006631614,0.00019565127,0.0015675526,0.000037600956,0.00003416717,0.000650567,0.00030131656,0.009958238,0.011366142,0.95821303,0.017546734,0.00006276028],"about_ca_topic_score_codex":0.0009413823,"about_ca_topic_score_gemma":0.00066971447,"teacher_disagreement_score":0.0064899046,"about_ca_system_score_codex":0.0015860422,"about_ca_system_score_gemma":0.00070544623,"threshold_uncertainty_score":0.021710873},"labels":[],"label_agreement":null},{"id":"W2032141896","doi":"10.1081/agb-200065370","title":"TORSION-FREE GROUPS WITH RANK RESTRICTING PROPERTIES","year":2005,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group 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 Alberta","funders":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Mathematics; Torsion (gastropod); Centralizer and normalizer; Torsion subgroup; Finitely-generated abelian group; Combinatorics; Rank (graph theory); Rank of an abelian group; Characteristic subgroup; Free group; Subgroup; Normal subgroup; Discrete mathematics; Pure mathematics; Group (periodic table); Chemistry; Abelian group; Elementary abelian group","score_opus":0.1438498637996055,"score_gpt":0.35299941373565036,"score_spread":0.20914954993604487,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032141896","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69628215,0.0009507975,0.07459378,0.001248072,0.00015718515,0.00007938614,0.00066345953,0.00093842275,0.22508667],"genre_scores_gemma":[0.9788857,0.00023394731,0.006310783,0.00013249122,0.00013736039,0.000030749285,0.00044232907,0.000031349125,0.0137953125],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993754,0.000118657015,0.000034856832,0.00012738406,0.0001821846,0.00016153103],"domain_scores_gemma":[0.9986935,0.00036658277,0.00023842714,0.00026101354,0.00016133187,0.00027914037],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006404641,0.000475434,0.00041366633,0.001007251,0.0009942084,0.001919877,0.00039757584,0.00037514523,0.012402613],"category_scores_gemma":[0.0015682919,0.00019014136,0.0003217416,0.0007847968,0.002588655,0.0031337137,0.0021602681,0.001004892,0.0018020604],"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":[0.000101210564,0.000037616894,0.001460677,0.00008159672,0.000019562307,0.0002622292,0.0010116198,0.0006329438,0.0050728284,0.97489524,0.0012237104,0.0152007155],"study_design_scores_gemma":[0.000064282,0.00008852366,0.0021557738,0.000024457406,0.000048387483,0.0014126379,0.0008841681,0.002090471,0.0077743265,0.96425515,0.021172147,0.000029816096],"about_ca_topic_score_codex":0.0004919066,"about_ca_topic_score_gemma":0.0004588952,"teacher_disagreement_score":0.012402613,"about_ca_system_score_codex":0.00045020398,"about_ca_system_score_gemma":0.00058026175,"threshold_uncertainty_score":0.041490912},"labels":[],"label_agreement":null},{"id":"W2035865511","doi":"10.1080/00927870802570693","title":"A Note on Strongly Clean Matrix Rings","year":2010,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","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":true,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Harbin Institute of Technology","keywords":"Ring (chemistry); Mathematics; Matrix ring; Reduced ring; Principal ideal ring; Element (criminal law); Unit (ring theory); Matrix (chemical analysis); Primitive ring; Pure mathematics; Combinatorics; Algebra over a field; Commutative ring; Law; Chemistry; Political science; Mathematics education","score_opus":0.04788704964174152,"score_gpt":0.3469178774792101,"score_spread":0.2990308278374686,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2035865511","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37312847,0.013768336,0.39778614,0.01425393,0.0034095487,0.00014238204,0.0008523903,0.0008880879,0.19577076],"genre_scores_gemma":[0.94388884,0.0029511366,0.034379475,0.0008895069,0.0021265424,0.000048494636,0.00019968789,0.00008709078,0.015429278],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988764,0.00035298226,0.000065291475,0.00017123822,0.00038967343,0.00014448322],"domain_scores_gemma":[0.9968869,0.0012668701,0.00035285752,0.00046234962,0.00071709097,0.00031399337],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013487455,0.00030322306,0.0004043333,0.00088873896,0.0013651918,0.0015088337,0.00048766626,0.0005702826,0.0062819105],"category_scores_gemma":[0.0027582678,0.00035658068,0.0005915519,0.0006586868,0.0020624865,0.003513234,0.0022722322,0.0018816262,0.0008619361],"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":[0.00009125412,0.000026684924,0.0006913023,0.00014228208,0.0000185624,0.00045934756,0.0004396872,0.0008397257,0.007117185,0.97663236,0.0049510426,0.0085905325],"study_design_scores_gemma":[0.000023938666,0.00019148258,0.002424345,0.000060115548,0.00004101941,0.0012879898,0.000483289,0.0047253007,0.011217442,0.9002134,0.0792867,0.000044955555],"about_ca_topic_score_codex":0.00046890098,"about_ca_topic_score_gemma":0.00056223327,"teacher_disagreement_score":0.0062819105,"about_ca_system_score_codex":0.0005306873,"about_ca_system_score_gemma":0.0005154467,"threshold_uncertainty_score":0.021015108},"labels":[],"label_agreement":null},{"id":"W2036771183","doi":"10.1081/agb-120024866","title":"Preprojective Modules and Auslander-Reiten Components","year":2003,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quiver; Mathematics; Quotient; Pure mathematics; Component (thermodynamics); Algebra over a field; Physics","score_opus":0.1003773698219069,"score_gpt":0.347407169812208,"score_spread":0.24702979999030109,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036771183","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86966395,0.0014060515,0.03985841,0.00028210715,0.00007526528,0.00008768985,0.00012352789,0.0001751573,0.08832782],"genre_scores_gemma":[0.97780514,0.00042423268,0.0056628343,0.00006320255,0.00005434084,0.00003750925,0.00013067915,0.000034265246,0.015787767],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956983,0.000058801583,0.000026744603,0.00010498292,0.00014375092,0.00009597396],"domain_scores_gemma":[0.99956995,0.0000750486,0.00008682947,0.00005490495,0.000115545234,0.00009759604],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003679756,0.00045513842,0.00029414357,0.0015376682,0.0008203799,0.002589995,0.00048317574,0.00037953828,0.0065596304],"category_scores_gemma":[0.0008159851,0.0002882932,0.00043203574,0.0007141529,0.001892243,0.0028218317,0.0017860221,0.0008463302,0.0008124645],"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":[0.000045504607,0.000032821532,0.0018835018,0.000039677183,0.000015346377,0.00043571295,0.0008830044,0.00059286575,0.0053511923,0.98119617,0.0004348516,0.009089303],"study_design_scores_gemma":[0.000027144632,0.00009976315,0.006517244,0.000051712872,0.000043718876,0.0017320125,0.0010378406,0.005919955,0.01670689,0.94232625,0.025497599,0.00003985283],"about_ca_topic_score_codex":0.0005788361,"about_ca_topic_score_gemma":0.000516074,"teacher_disagreement_score":0.0065596304,"about_ca_system_score_codex":0.0006044941,"about_ca_system_score_gemma":0.0001855411,"threshold_uncertainty_score":0.021944165},"labels":[],"label_agreement":null},{"id":"W2039994929","doi":"10.1080/00927870701451375","title":"Complete Congruences on the Lattice of Rees–Sushkevich Varieties","year":2007,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"semigroups and automata theory","field":"Computer Science","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":"Simon Fraser University","funders":"","keywords":"Aperiodic graph; Mathematics; Congruence relation; Lattice (music); Endomorphism; Simple (philosophy); Exponent; Pure mathematics; Congruence (geometry); Combinatorics; Geometry","score_opus":0.05609291627475321,"score_gpt":0.30326775666361144,"score_spread":0.24717484038885823,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039994929","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8492465,0.0016714586,0.072630785,0.00068361935,0.00023593797,0.00009019341,0.00036904903,0.00017578962,0.07489665],"genre_scores_gemma":[0.96371067,0.000512512,0.021727448,0.00011198145,0.00034604344,0.000096433934,0.00041398243,0.00004865614,0.013032221],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983789,0.0003302141,0.00011271199,0.0003090561,0.00060328946,0.00026586844],"domain_scores_gemma":[0.99856937,0.00039090903,0.00022551097,0.00011883208,0.00026934998,0.00042597347],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013060644,0.0004895535,0.0007367865,0.0015045109,0.0017164832,0.0030412613,0.00056576566,0.00036297433,0.0031478042],"category_scores_gemma":[0.0018081943,0.00035268968,0.00074308476,0.000906897,0.0035670567,0.0033463403,0.0018153285,0.0012317911,0.0005809349],"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":[0.00006284898,0.000034433673,0.0004227083,0.000025634215,0.0000068265363,0.00017663302,0.0006100962,0.00084765936,0.0030745016,0.9908698,0.00036617488,0.0035026427],"study_design_scores_gemma":[0.00007030889,0.000092506765,0.0010863867,0.000021863048,0.000009375457,0.00036264348,0.0007183903,0.004858008,0.0028413525,0.97981906,0.010087794,0.00003232123],"about_ca_topic_score_codex":0.00078927685,"about_ca_topic_score_gemma":0.00073366135,"teacher_disagreement_score":0.0031478042,"about_ca_system_score_codex":0.0010656344,"about_ca_system_score_gemma":0.0006630367,"threshold_uncertainty_score":0.010530472},"labels":[],"label_agreement":null},{"id":"W2040868667","doi":"10.1080/00927870008827120","title":"Group identities on units of locally finite algebras and twisted group algebras","year":2000,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Group (periodic table); Identity (music); Pure mathematics; Group algebra; Polynomial; Algebra over a field; Mathematical analysis","score_opus":0.07149314255648843,"score_gpt":0.3325620623002723,"score_spread":0.2610689197437839,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2040868667","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80138177,0.0006254045,0.13207543,0.00082580047,0.0002394207,0.00008800994,0.00010780805,0.00019410171,0.06446219],"genre_scores_gemma":[0.98271435,0.00023661186,0.009815935,0.00009243744,0.00012422682,0.000039926155,0.000086891945,0.000031306976,0.006858322],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990723,0.00024386062,0.000060820264,0.00014033496,0.00022278976,0.0002597366],"domain_scores_gemma":[0.9987606,0.00025584557,0.00026979338,0.00020231988,0.00022913059,0.0002824314],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010249604,0.00052705803,0.00065451104,0.00082230644,0.0017805581,0.0022712962,0.0010009096,0.0010262433,0.004879942],"category_scores_gemma":[0.0032074798,0.0002633184,0.00073835434,0.0010603883,0.0034325798,0.004726803,0.0023345926,0.0014804525,0.00089175825],"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":[0.000013703645,0.00001116136,0.00020681618,0.000017280903,0.0000032567948,0.00022305122,0.0004901068,0.00043541018,0.0011181027,0.9956423,0.00017213247,0.0016668001],"study_design_scores_gemma":[0.000014014236,0.000033217042,0.00017194304,0.000011506576,0.000007153431,0.00023784167,0.00037442608,0.0038181208,0.0017413452,0.99169874,0.0018820208,0.000009637642],"about_ca_topic_score_codex":0.0005661014,"about_ca_topic_score_gemma":0.000424738,"teacher_disagreement_score":0.004879942,"about_ca_system_score_codex":0.00084086973,"about_ca_system_score_gemma":0.0006508925,"threshold_uncertainty_score":0.016325057},"labels":[],"label_agreement":null},{"id":"W2042452656","doi":"10.1080/00927872.2010.492044","title":"Constructions of Stratified Algebras","year":2011,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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":"Carleton University","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field; Mathematics education","score_opus":0.14758328467253296,"score_gpt":0.3404564476851343,"score_spread":0.19287316301260132,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042452656","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08701283,0.0013210389,0.8075601,0.0006433617,0.0004976428,0.00021541094,0.0005371584,0.0018914329,0.100320995],"genre_scores_gemma":[0.69385,0.0013491863,0.25435725,0.00049932324,0.00018979666,0.00022337592,0.000938002,0.00048218842,0.048110873],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99934334,0.00015040982,0.000050408617,0.00008756451,0.00023963396,0.0001286462],"domain_scores_gemma":[0.99942917,0.00010142967,0.000038856448,0.00013835185,0.00016532386,0.00012685978],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095040305,0.00045122457,0.00038974837,0.0011956738,0.001698052,0.0018006259,0.0007592468,0.0003491271,0.0069864034],"category_scores_gemma":[0.0012355996,0.0005402811,0.0010929451,0.0006362673,0.0019080698,0.0034579835,0.0023595989,0.0014003583,0.0022903385],"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":[0.000011424108,0.000013627227,0.00021540483,0.000036946047,0.0000064282613,0.000083135106,0.00040812208,0.00031644924,0.0028943075,0.9870187,0.001137765,0.007857582],"study_design_scores_gemma":[0.000016644939,0.000046538757,0.00055954803,0.00006481682,0.00004309154,0.00053224276,0.00028042594,0.005582132,0.010366237,0.8861946,0.096273355,0.00004029622],"about_ca_topic_score_codex":0.0011819268,"about_ca_topic_score_gemma":0.0022446476,"teacher_disagreement_score":0.0069864034,"about_ca_system_score_codex":0.0012570454,"about_ca_system_score_gemma":0.0012188002,"threshold_uncertainty_score":0.023371875},"labels":[],"label_agreement":null},{"id":"W2048994356","doi":"10.1081/agb-120024853","title":"Relative Covering Groups","year":2003,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Gratitude; Group (periodic table); Automorphism; Finite group; Hospitality; Combinatorics; Automorphism group; Algebra over a field; Pure mathematics; Law; Social psychology; Psychology","score_opus":0.1625730336942224,"score_gpt":0.3993386870304772,"score_spread":0.2367656533362548,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2048994356","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7244898,0.0014230746,0.10407253,0.0011058026,0.00021622378,0.00009917097,0.0003696404,0.00037560676,0.16784814],"genre_scores_gemma":[0.9843693,0.00021182366,0.0058903857,0.00006844285,0.00009278528,0.000040049155,0.0002480923,0.00002014839,0.009058982],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991973,0.00014677263,0.000052326304,0.0001787338,0.00021897377,0.00020600857],"domain_scores_gemma":[0.99930215,0.00017536154,0.00015845799,0.0001289588,0.00009005463,0.00014498203],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00064809213,0.00031751092,0.0003002251,0.0014119631,0.001283451,0.0023747368,0.0003554676,0.00042377226,0.0067137615],"category_scores_gemma":[0.0014446169,0.00015462663,0.0004412256,0.00079295953,0.0022598933,0.0029875166,0.0021851812,0.0005648739,0.0005036125],"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":[0.000019863135,0.0000074087757,0.0007350791,0.00001527639,0.000004953807,0.000059828653,0.000548456,0.00029454762,0.0012331067,0.9903196,0.00036081846,0.0064010513],"study_design_scores_gemma":[0.00002620461,0.000072876086,0.0031494498,0.000032448548,0.000017194174,0.0004786284,0.0011373204,0.0030733626,0.004128017,0.9366227,0.05124283,0.000018930139],"about_ca_topic_score_codex":0.00067879603,"about_ca_topic_score_gemma":0.00027959267,"teacher_disagreement_score":0.0067137615,"about_ca_system_score_codex":0.0011661396,"about_ca_system_score_gemma":0.0003180226,"threshold_uncertainty_score":0.022459745},"labels":[],"label_agreement":null},{"id":"W2049564729","doi":"10.1081/agb-100105027","title":"ROOT-GRADED LIE ALGEBRAS WITH COMPATIBLE GRADING","year":2001,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":18,"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; Pure mathematics; Lie algebra; Graded Lie algebra; Killing form; Abelian group; Root (linguistics); Adjoint representation of a Lie algebra; Algebra over a field; Root system; Lie conformal algebra; Linguistics","score_opus":0.10736246272395131,"score_gpt":0.36629452877254687,"score_spread":0.25893206604859553,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2049564729","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85983783,0.0007503594,0.051204845,0.0004798388,0.00014871263,0.00008010159,0.00021495992,0.00034765457,0.08693569],"genre_scores_gemma":[0.9713297,0.0003269038,0.010829734,0.00009882275,0.00008460169,0.000022312044,0.00020181134,0.000031395335,0.017074691],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999653,0.00005381851,0.000017277089,0.000056554658,0.00013949144,0.00007984374],"domain_scores_gemma":[0.99964833,0.000027385735,0.000058538008,0.00005254078,0.00011454816,0.000098678145],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037624707,0.00035280068,0.00039928503,0.0009975714,0.0007445843,0.0014896918,0.00055722165,0.00030832572,0.0023710725],"category_scores_gemma":[0.0006934035,0.0001695654,0.0003103932,0.000643659,0.0015049629,0.0018476722,0.0011632047,0.0008098836,0.00075794454],"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":[0.00003484405,0.00001892275,0.00065522565,0.000029767421,0.000009523927,0.00026106535,0.00036766398,0.0013316536,0.00485145,0.98375815,0.00066133897,0.008020371],"study_design_scores_gemma":[0.000022496259,0.000045525503,0.0009199216,0.000014340653,0.000012254004,0.0003598495,0.00022653473,0.005934622,0.0030220957,0.9807577,0.00866629,0.000018405124],"about_ca_topic_score_codex":0.00084232044,"about_ca_topic_score_gemma":0.0011370454,"teacher_disagreement_score":0.0023710725,"about_ca_system_score_codex":0.000747874,"about_ca_system_score_gemma":0.0004922178,"threshold_uncertainty_score":0.007932007},"labels":[],"label_agreement":null},{"id":"W2051951353","doi":"10.1080/00927870008841085","title":"Quasi-dual rings","year":2000,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Dual (grammatical number); Image (mathematics); Pure mathematics; Computer vision; Computer science; Literature; Art","score_opus":0.06839275561963727,"score_gpt":0.332217794010098,"score_spread":0.26382503839046073,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2051951353","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.078374416,0.0017207805,0.08355363,0.0039505246,0.0024124281,0.00011124231,0.0038036418,0.0047898116,0.8212835],"genre_scores_gemma":[0.42602345,0.0018185802,0.038379274,0.00088376715,0.0010603709,0.000093698625,0.0027026,0.0017173906,0.52732086],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99968016,0.000047138834,0.000013334406,0.000064813736,0.00013726094,0.00005726937],"domain_scores_gemma":[0.99909973,0.00016360333,0.000052501633,0.00017187852,0.00028532682,0.00022695193],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005617997,0.00034325826,0.00037573095,0.0010570806,0.0007780059,0.002235715,0.00040010517,0.0003400965,0.19292788],"category_scores_gemma":[0.0012906226,0.00036871494,0.00029779857,0.00061274786,0.00042365957,0.0039934427,0.0010623119,0.0010417139,0.035500687],"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":[0.00039435475,0.00014558589,0.0008948631,0.00030873573,0.000013432486,0.00015251261,0.00022677054,0.00040410995,0.015225943,0.7264119,0.16055822,0.09526366],"study_design_scores_gemma":[0.00017573258,0.00014950418,0.0035466088,0.00008338859,0.00004180357,0.0011194468,0.0002883275,0.0034054264,0.027325334,0.41161224,0.5521789,0.00007328971],"about_ca_topic_score_codex":0.00015374554,"about_ca_topic_score_gemma":0.00026724857,"teacher_disagreement_score":0.19292788,"about_ca_system_score_codex":0.00042143225,"about_ca_system_score_gemma":0.00031001112,"threshold_uncertainty_score":0.64540803},"labels":[],"label_agreement":null},{"id":"W2052522776","doi":"10.1080/00927870701246924","title":"Finite Exceptional<i>p</i>-Groups of Small Order","year":2007,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group 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":"Acadia University","funders":"","keywords":"Mathematics; Order (exchange); Combinatorics; Pure mathematics","score_opus":0.15195437571730835,"score_gpt":0.39158152690800413,"score_spread":0.23962715119069578,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2052522776","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95114875,0.00013127139,0.021804387,0.0002467901,0.00004676021,0.000019820094,0.00004081568,0.00010840301,0.02645306],"genre_scores_gemma":[0.9956293,0.000033952907,0.0023466514,0.000016730552,0.000024030636,0.000007727049,0.00004277111,0.0000056963404,0.0018931545],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99967813,0.000058900056,0.000022929918,0.00006472399,0.00006864693,0.000106738065],"domain_scores_gemma":[0.9991553,0.00021507904,0.000171943,0.00015893545,0.00008448287,0.00021431514],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044735105,0.00028631306,0.00032491627,0.00068976433,0.0009788983,0.0016390246,0.0003432349,0.0002738248,0.0025588595],"category_scores_gemma":[0.0011910065,0.00011149817,0.0003550241,0.00036159108,0.002686439,0.0014158519,0.0015455796,0.00065379625,0.00022924709],"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":[0.0002515775,0.000043410342,0.0045440965,0.000040933173,0.00001811344,0.000709079,0.0013356745,0.0015560935,0.01912003,0.95597315,0.0004712555,0.0159365],"study_design_scores_gemma":[0.0000338405,0.00018695639,0.0038306655,0.000017990955,0.000020976486,0.0010311551,0.0007679779,0.0055302405,0.020336263,0.9605702,0.0076494194,0.000024201374],"about_ca_topic_score_codex":0.0002389617,"about_ca_topic_score_gemma":0.00026222508,"teacher_disagreement_score":0.0025588595,"about_ca_system_score_codex":0.0006910286,"about_ca_system_score_gemma":0.0003217505,"threshold_uncertainty_score":0.00856024},"labels":[],"label_agreement":null},{"id":"W2060387944","doi":"10.1081/agb-120022220","title":"Some Results on Hypercentral Units in Integral Group Rings","year":2003,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland; Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Group (periodic table); Group ring; Pure mathematics; Algebra over a field; Chemistry","score_opus":0.1770830507396108,"score_gpt":0.38105122657130813,"score_spread":0.20396817583169732,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060387944","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8825127,0.003526253,0.049147137,0.0011841423,0.00024367859,0.000044695287,0.0001417489,0.0001737211,0.063025996],"genre_scores_gemma":[0.9894894,0.00048369885,0.0039754133,0.00009875904,0.0001941091,0.00001832346,0.00007977032,0.000027115388,0.0056333523],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989134,0.00027627527,0.00006347432,0.00020958346,0.00033314322,0.00020412334],"domain_scores_gemma":[0.9982021,0.0005631792,0.00037347493,0.00019576974,0.00027197335,0.00039343964],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014711433,0.00050790183,0.0007062945,0.0019821613,0.0017833777,0.0035766147,0.0009803094,0.00059906294,0.007824584],"category_scores_gemma":[0.0032042284,0.0003736339,0.0004035481,0.0017152971,0.004159569,0.0051837685,0.0033673102,0.0014983781,0.00078367395],"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":[0.00012103268,0.000037053014,0.001111619,0.00009469428,0.000014275212,0.00047840332,0.0008920107,0.0006967362,0.0025583738,0.98842734,0.00050546206,0.0050631026],"study_design_scores_gemma":[0.000051354247,0.00017394056,0.0018717312,0.00007156037,0.000034218345,0.00071027223,0.0009457088,0.004525311,0.006634121,0.97567546,0.00927882,0.000027426018],"about_ca_topic_score_codex":0.00025963335,"about_ca_topic_score_gemma":0.00016991064,"teacher_disagreement_score":0.007824584,"about_ca_system_score_codex":0.0012745636,"about_ca_system_score_gemma":0.00041928262,"threshold_uncertainty_score":0.026175797},"labels":[],"label_agreement":null},{"id":"W2061303641","doi":"10.1080/00927872.2010.529096","title":"Goldie Extending Rings","year":2012,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":7,"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":"Türkiye Bilimsel ve Teknolojik Araştırma Kurumu; University of Regina","keywords":"Mathematics; Null (SQL); Ring (chemistry); Pure mathematics; Computer science","score_opus":0.10693612535648173,"score_gpt":0.35898344073424154,"score_spread":0.2520473153777598,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061303641","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72538567,0.0024749602,0.05267015,0.0016796899,0.00022610705,0.00006598037,0.00027882762,0.0001933395,0.21702524],"genre_scores_gemma":[0.9728957,0.00087433925,0.01284118,0.00028226184,0.0001299841,0.000022311922,0.00013340788,0.000024039733,0.0127967475],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932706,0.00012499285,0.000059669685,0.00017287547,0.00015422578,0.00016116592],"domain_scores_gemma":[0.9991398,0.0001968512,0.0001117891,0.00016685431,0.00020371602,0.00018098655],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014621157,0.0002767847,0.00034292138,0.0005931041,0.001328696,0.0010546322,0.00021786803,0.0003364118,0.003222714],"category_scores_gemma":[0.0016250389,0.000120801255,0.0004638702,0.00039502783,0.0021132957,0.003548922,0.0024860706,0.00087915844,0.00036940488],"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":[0.00007362345,0.00001605371,0.0023467955,0.00007432688,0.000008776747,0.00041232997,0.00084393483,0.00042266076,0.0047377655,0.9763985,0.00067405164,0.013991171],"study_design_scores_gemma":[0.000039388855,0.00014606834,0.006133922,0.00009171696,0.00004337599,0.0021529328,0.0017742083,0.0028211814,0.013352034,0.89264435,0.080754854,0.00004596735],"about_ca_topic_score_codex":0.00067200395,"about_ca_topic_score_gemma":0.0006407077,"teacher_disagreement_score":0.003222714,"about_ca_system_score_codex":0.0007378767,"about_ca_system_score_gemma":0.0004693779,"threshold_uncertainty_score":0.01078099},"labels":[],"label_agreement":null},{"id":"W2068828807","doi":"10.1080/00927872.2013.849266","title":"Martindale Algebras of Quotients of Graded Algebras","year":2014,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","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":"York University","funders":"","keywords":"Mathematics; Quotient; Finitary; Zero (linguistics); Quotient algebra; Pure mathematics; Component (thermodynamics); Associative property; Non-associative algebra; Associative algebra; Algebra over a field; Lie algebra; Universal enveloping algebra; Algebra representation; Cellular algebra","score_opus":0.0726385061681092,"score_gpt":0.35635919634971314,"score_spread":0.28372069018160395,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068828807","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8890462,0.0009600617,0.0653409,0.0003462127,0.00008519822,0.000058506135,0.00013493633,0.000118235024,0.04390978],"genre_scores_gemma":[0.9881253,0.0002566707,0.0063836067,0.000052383373,0.00008158367,0.00002221555,0.00010191406,0.00002559556,0.004950592],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993793,0.00012254497,0.000044585413,0.0001142493,0.00019809155,0.00014118459],"domain_scores_gemma":[0.9989619,0.00021575803,0.00017526088,0.00008459123,0.00024292798,0.00031951503],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00092140865,0.00048911874,0.00048549444,0.0018656896,0.0010576879,0.0020721566,0.0007668275,0.00031894594,0.004167489],"category_scores_gemma":[0.002339893,0.00029567,0.00056523125,0.0007853396,0.0029480094,0.004985935,0.0016728562,0.00087771413,0.00042194015],"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":[0.000026330219,0.000013303848,0.0006339972,0.000027846743,0.000008150003,0.000075477954,0.0002653884,0.0003942332,0.002624005,0.9937349,0.00013448141,0.002061932],"study_design_scores_gemma":[0.000013471819,0.000041763193,0.0011964397,0.000019276597,0.000015008992,0.00016230656,0.0002567606,0.0039410754,0.004776644,0.9869915,0.0025669758,0.00001868865],"about_ca_topic_score_codex":0.0012434989,"about_ca_topic_score_gemma":0.00154087,"teacher_disagreement_score":0.004167489,"about_ca_system_score_codex":0.0011088094,"about_ca_system_score_gemma":0.00059247104,"threshold_uncertainty_score":0.013941646},"labels":[],"label_agreement":null},{"id":"W2069742684","doi":"10.1081/agb-100105036","title":"IDENTITIES FOR ALGEBRAS OBTAINED FROM THE CAYLEY-DICKSON PROCESS","year":2001,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":14,"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 Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; Iowa State University","keywords":"Mathematics; Multilinear map; Noncommutative geometry; Quadratic algebra; Identity (music); Non-associative algebra; Pure mathematics; Degree (music); Dimension (graph theory); Division algebra; Jordan algebra; Set (abstract data type); Algebra over a field; Quadratic equation; Algebra representation; Computer science","score_opus":0.09325674188807688,"score_gpt":0.3770054508319647,"score_spread":0.2837487089438878,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2069742684","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6675056,0.0012139601,0.14814402,0.0006479345,0.000287534,0.00018667277,0.00029505504,0.0002415109,0.1814777],"genre_scores_gemma":[0.9397275,0.0006731609,0.03213023,0.00027523778,0.00021289506,0.00008091736,0.00039739555,0.00007556309,0.026427142],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99898463,0.00017695545,0.00008445096,0.000115443436,0.00042207082,0.00021646782],"domain_scores_gemma":[0.9990477,0.0001819582,0.0001503913,0.00013923028,0.00029464992,0.00018608979],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014387922,0.00038419172,0.0005180632,0.0020395787,0.0023452782,0.003488687,0.0008044783,0.00065392954,0.0044152397],"category_scores_gemma":[0.0023081813,0.00030551315,0.0010013675,0.0011181346,0.002148807,0.003771676,0.001736812,0.0014620055,0.0012050013],"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":[0.000010078289,0.000015187389,0.00011687481,0.000010692452,0.0000021323035,0.000090048794,0.00021658557,0.00030168102,0.0010297174,0.9956607,0.00028133337,0.0022649483],"study_design_scores_gemma":[0.000013771108,0.000023106184,0.000299517,0.0000092707805,0.0000058788837,0.00017437513,0.00016449847,0.003790202,0.0028993387,0.9886769,0.0039265123,0.000016566986],"about_ca_topic_score_codex":0.0014757575,"about_ca_topic_score_gemma":0.0015234649,"teacher_disagreement_score":0.0044152397,"about_ca_system_score_codex":0.0015021561,"about_ca_system_score_gemma":0.0010865688,"threshold_uncertainty_score":0.014770448},"labels":[],"label_agreement":null},{"id":"W2070961663","doi":"10.1080/00927872.2013.820737","title":"Lie *-Nilpotence of Group Rings","year":2014,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","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":"Government of Jiangsu Province; National Natural Science Foundation of China; University of Alberta","keywords":"Mathematics; Nilpotent; Group ring; Pure mathematics; Lie group; Involution (esoterism); Nilpotent group; Simple Lie group; Group (periodic table); Torsion (gastropod); Algebra over a field; Chemistry","score_opus":0.12113280861116121,"score_gpt":0.3859343608273026,"score_spread":0.2648015522161414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2070961663","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8129947,0.0014059744,0.056310516,0.0014251303,0.0003522248,0.000061462924,0.00015959765,0.0002842741,0.12700607],"genre_scores_gemma":[0.99118924,0.00023152366,0.003455142,0.000112090114,0.00019378778,0.000025912674,0.00007164531,0.000015525638,0.0047051203],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991911,0.00020213722,0.0000492699,0.00013863994,0.00020484436,0.00021392746],"domain_scores_gemma":[0.99834955,0.00060782064,0.0002565836,0.00011207629,0.00030105418,0.00037281742],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00084222533,0.00031769896,0.00044391656,0.0011394573,0.0012647224,0.002132571,0.000466903,0.00040784635,0.0046042805],"category_scores_gemma":[0.0021226672,0.0002453054,0.00039833362,0.00047950103,0.0027626848,0.0033991232,0.0020782503,0.0010292816,0.0008911789],"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":[0.00014462648,0.00004897952,0.0011163572,0.00008622718,0.000018652328,0.0007679788,0.0010125131,0.0006164951,0.00566396,0.980378,0.0011017288,0.009044632],"study_design_scores_gemma":[0.00003438436,0.00012519535,0.0010069923,0.000021393515,0.00001176764,0.0010939398,0.00044188052,0.0030894398,0.004446214,0.98204494,0.007663019,0.000020983049],"about_ca_topic_score_codex":0.00019322404,"about_ca_topic_score_gemma":0.00012648362,"teacher_disagreement_score":0.0046042805,"about_ca_system_score_codex":0.0006188001,"about_ca_system_score_gemma":0.00037262295,"threshold_uncertainty_score":0.0154028535},"labels":[],"label_agreement":null},{"id":"W2071164136","doi":"10.1080/00927870701716074","title":"Topological Abelian Groups and Equivariant Homology","year":2008,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":4,"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":"Consejo Nacional de Ciencia y Tecnología; University of Tasmania; Ryerson University","keywords":"Equivariant map; Mathematics; Homology (biology); Abelian group; Isomorphism (crystallography); Pure mathematics; Singular homology; Cellular homology; Topological group; Isomorphism theorem; G-module; Algebra over a field; Topology (electrical circuits); Combinatorics; Elementary abelian group; Cohomology","score_opus":0.11339821996305893,"score_gpt":0.3567366640485059,"score_spread":0.24333844408544697,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071164136","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64355004,0.0022525135,0.13238156,0.0037895178,0.00042149908,0.0000429095,0.00014193836,0.0003972949,0.21702273],"genre_scores_gemma":[0.9844355,0.0003753225,0.0037627511,0.00019997357,0.000213316,0.000015286521,0.00007100243,0.000029849087,0.010896997],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994506,0.00011468999,0.000026320022,0.00008356361,0.0002136857,0.00011101579],"domain_scores_gemma":[0.9994252,0.00014947861,0.00009734061,0.000084108186,0.00010221836,0.00014175042],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00062030053,0.0003909045,0.00032388946,0.002194472,0.0007859051,0.001750826,0.0007071172,0.0004696525,0.006149671],"category_scores_gemma":[0.0012812263,0.00020168204,0.00035972532,0.00076303375,0.0029375793,0.0027445129,0.0033163528,0.0012493393,0.0006805816],"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":[0.000009297613,0.000014807356,0.0003777945,0.000016695483,0.000007298935,0.00010243241,0.00026612816,0.00049046124,0.0011348604,0.9934542,0.00038728953,0.0037387356],"study_design_scores_gemma":[0.0000106365405,0.000022639064,0.001002442,0.000010252462,0.0000095974265,0.00018981127,0.0001968255,0.0023322504,0.0015238817,0.98681134,0.007879766,0.000010630548],"about_ca_topic_score_codex":0.00047232534,"about_ca_topic_score_gemma":0.00028560395,"teacher_disagreement_score":0.006149671,"about_ca_system_score_codex":0.0008449241,"about_ca_system_score_gemma":0.00030023683,"threshold_uncertainty_score":0.020572722},"labels":[],"label_agreement":null},{"id":"W2071869249","doi":"10.1080/00927870902766308","title":"Enumerating Groups Acting Regularly on a <i>d</i> -Dimensional Cube","year":2009,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","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 Lethbridge","funders":"Pacific Institute for the Mathematical Sciences","keywords":"Combinatorics; Mathematics; Cube (algebra); Isomorphism (crystallography); Order (exchange); Class (philosophy); Group (periodic table); Computer science; Physics; Artificial intelligence; Crystallography","score_opus":0.12401622028299833,"score_gpt":0.39238630106271827,"score_spread":0.2683700807797199,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071869249","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79156286,0.004869132,0.15729657,0.0028621624,0.0002491771,0.00015505643,0.0018702173,0.000376607,0.040758237],"genre_scores_gemma":[0.90152013,0.0034121238,0.07782669,0.00045499904,0.00029276373,0.00017810475,0.0037836237,0.00009176007,0.012439783],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99944824,0.00009318136,0.000057167483,0.00012061532,0.00014261638,0.00013809915],"domain_scores_gemma":[0.9986846,0.0006371813,0.00019528095,0.00019933147,0.00014624697,0.00013747334],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052339793,0.0005144449,0.000587978,0.0014913455,0.0008166961,0.0013148993,0.00093101925,0.000609374,0.003993776],"category_scores_gemma":[0.0017819571,0.00027494994,0.00062958844,0.0018271608,0.00119326,0.0034182682,0.0014128872,0.0011984732,0.0006819125],"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":[0.0004682997,0.00021485517,0.01926398,0.00080752344,0.00007166939,0.00052088534,0.0026505617,0.011393219,0.020174973,0.7599904,0.017253602,0.16719],"study_design_scores_gemma":[0.000059929473,0.0002912736,0.0060204617,0.0001841597,0.00009924084,0.001623969,0.001423234,0.031269483,0.04364551,0.85226375,0.06301327,0.00010575634],"about_ca_topic_score_codex":0.0008995296,"about_ca_topic_score_gemma":0.00090596516,"teacher_disagreement_score":0.003993776,"about_ca_system_score_codex":0.00091087463,"about_ca_system_score_gemma":0.000800867,"threshold_uncertainty_score":0.0133605},"labels":[],"label_agreement":null},{"id":"W2076215530","doi":"10.1080/00927872.2011.590955","title":"Principal Filtrations of Lie Algebras","year":2012,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Ministerio de Economía y Competitividad; University of Saskatchewan","keywords":"Mathematics; Filtration (mathematics); Nilpotent; Pure mathematics; Lie algebra; Graded Lie algebra; Principal (computer security); Algebra over a field; Element (criminal law); Von Neumann algebra; Von Neumann architecture","score_opus":0.1301989905234167,"score_gpt":0.39451819285748024,"score_spread":0.26431920233406353,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076215530","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78991425,0.0013773174,0.084862724,0.0008364606,0.00026596396,0.00009547284,0.0002884661,0.00046473404,0.12189463],"genre_scores_gemma":[0.97077256,0.0005338838,0.010803465,0.00013136429,0.00023091282,0.000054379005,0.00023604002,0.000042947977,0.017194418],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99935323,0.00008480897,0.000042734522,0.00011938979,0.00019586433,0.00020396992],"domain_scores_gemma":[0.9991436,0.00010810066,0.00013243417,0.00007683042,0.00019002297,0.0003489682],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010830356,0.00050207414,0.0004887806,0.0021005245,0.0021670845,0.0028949457,0.0004929615,0.0004654366,0.005702527],"category_scores_gemma":[0.001291356,0.00032965894,0.0008593439,0.000678918,0.0025489223,0.0035280152,0.0019513041,0.0009306188,0.0010145401],"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":[0.000025571606,0.000020679525,0.00032943912,0.000021057327,0.0000060635093,0.00012885922,0.00046244706,0.00028350126,0.0015986576,0.99393314,0.00046482476,0.002725612],"study_design_scores_gemma":[0.000019226813,0.000049143204,0.0009103097,0.00002223742,0.00001049341,0.00029254533,0.00023813159,0.0029007695,0.0023029563,0.98662496,0.006609265,0.000019995849],"about_ca_topic_score_codex":0.001267586,"about_ca_topic_score_gemma":0.00093758665,"teacher_disagreement_score":0.005702527,"about_ca_system_score_codex":0.0013016274,"about_ca_system_score_gemma":0.00075295375,"threshold_uncertainty_score":0.019076824},"labels":[],"label_agreement":null},{"id":"W2077622400","doi":"10.1080/00927870902747290","title":"Locally Invariant and Semi-Invariant Right Cones","year":2009,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Invariant (physics); Combinatorics; Prime ideal; Prime (order theory); Pure mathematics; Mathematical physics","score_opus":0.046560591621409894,"score_gpt":0.3038498211288218,"score_spread":0.2572892295074119,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077622400","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7318486,0.0015645386,0.12552294,0.00041584158,0.00013084825,0.000091422706,0.0009381177,0.00038902237,0.13909864],"genre_scores_gemma":[0.97717655,0.00022866475,0.010864766,0.000078383135,0.00007085926,0.000034220393,0.00048058762,0.000024740602,0.011041241],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99920315,0.00012261477,0.000054496963,0.0001318465,0.00030456812,0.0001832897],"domain_scores_gemma":[0.9988507,0.00015722399,0.00017787528,0.00015491553,0.000293693,0.00036552062],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068921736,0.0002351367,0.0002548154,0.00063197815,0.00050246745,0.0014479767,0.00028684395,0.00018942531,0.0030777112],"category_scores_gemma":[0.0008146309,0.00014246092,0.00033216793,0.00023546674,0.0017677702,0.0012901268,0.00093515276,0.0006493314,0.00044891494],"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":[0.00016623345,0.000068641966,0.0025321713,0.00006529593,0.000014173786,0.0007094025,0.0007150441,0.0011879122,0.020247504,0.95977265,0.0011164037,0.013404571],"study_design_scores_gemma":[0.00015256667,0.00039432003,0.017608523,0.000099393554,0.000054533393,0.002299589,0.002217106,0.02129111,0.041951112,0.86023384,0.0536246,0.00007327871],"about_ca_topic_score_codex":0.0011956955,"about_ca_topic_score_gemma":0.0008641013,"teacher_disagreement_score":0.0030777112,"about_ca_system_score_codex":0.00043377184,"about_ca_system_score_gemma":0.00050348527,"threshold_uncertainty_score":0.010295987},"labels":[],"label_agreement":null},{"id":"W2079900545","doi":"10.1080/00927872.2013.820738","title":"Dendriform Analogues of Lie and Jordan Triple Systems","year":2014,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","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 Saskatchewan","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Universidad de La Rioja","keywords":"Mathematics; Degree (music); Triple system; Identity (music); Multilinear map; Representation theory; Pure mathematics; Polynomial; Lie algebra; Algebra over a field; Mathematical analysis","score_opus":0.0722372078856655,"score_gpt":0.3475360018366114,"score_spread":0.27529879395094586,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2079900545","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76809025,0.0002392047,0.13681844,0.00027356646,0.00017912786,0.00010902923,0.00023993902,0.00024484133,0.093805596],"genre_scores_gemma":[0.96185195,0.00015138605,0.019114181,0.00007273009,0.00007696524,0.00004588482,0.0001865927,0.00005634088,0.018444013],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952674,0.000059558224,0.00002891695,0.000095823314,0.00016650508,0.00012252927],"domain_scores_gemma":[0.9994822,0.000059950366,0.000099781435,0.00007068306,0.00015742394,0.00013011781],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035224683,0.0002772189,0.00039073123,0.0009639761,0.0016194585,0.0016264956,0.0005409982,0.00038068916,0.008144773],"category_scores_gemma":[0.0011357447,0.00020142682,0.0005234188,0.0005865132,0.0016605875,0.001824125,0.0014367863,0.0007704048,0.0013211136],"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":[0.000040775696,0.00003030198,0.00044778985,0.000026235135,0.000005231458,0.00014504905,0.00037925897,0.0034387882,0.0026361328,0.98600686,0.00041852603,0.006424956],"study_design_scores_gemma":[0.000025004638,0.00008373121,0.00047285922,0.000019300023,0.000009305677,0.00027565222,0.00045037115,0.024115803,0.0069293417,0.9539726,0.013608142,0.000037971306],"about_ca_topic_score_codex":0.0016637983,"about_ca_topic_score_gemma":0.002469573,"teacher_disagreement_score":0.008144773,"about_ca_system_score_codex":0.00085465296,"about_ca_system_score_gemma":0.0006520734,"threshold_uncertainty_score":0.027246952},"labels":[],"label_agreement":null},{"id":"W2081138116","doi":"10.1080/00927870802467155","title":"Lie Bialgebra Structures on the <i>q</i>-Analog Virasoro-Like Algebras","year":2009,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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":"University of Science and Technology of China; Memorial University of Newfoundland; National Science Foundation","keywords":"Mathematics; Pure mathematics; Bialgebra; Algebra over a field; Virasoro algebra; Lie algebra; Hopf algebra; Algebra representation; Cellular algebra","score_opus":0.08281401287221273,"score_gpt":0.3395499105293374,"score_spread":0.2567358976571247,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081138116","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5399755,0.0005560385,0.12685376,0.0016126516,0.00060767727,0.00011858163,0.00021393318,0.0004330509,0.32962874],"genre_scores_gemma":[0.9694026,0.00022846588,0.011945672,0.00045436388,0.00023292353,0.000039614162,0.00011833611,0.000058480262,0.017519478],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99962866,0.000079556004,0.000021176456,0.00007153472,0.00011949824,0.000079545614],"domain_scores_gemma":[0.99945635,0.00006299164,0.0001024,0.0000951687,0.00013507198,0.00014799811],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046498518,0.0004930595,0.00047249062,0.0012554253,0.0016393788,0.0023358592,0.0008296624,0.00084517617,0.011374271],"category_scores_gemma":[0.0011134413,0.00024496228,0.0005914681,0.0008171748,0.0019828207,0.0034172111,0.001299308,0.0017231592,0.0018310812],"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":[0.0000099975,0.000019875804,0.00009899696,0.000014071479,0.0000023301668,0.000091891816,0.0001568281,0.00031930747,0.001721436,0.99493885,0.00047109177,0.002155238],"study_design_scores_gemma":[0.0000063047532,0.000015475569,0.00013165567,0.0000064289743,0.000002566786,0.00019899175,0.000110648645,0.0033942075,0.0010751444,0.99317247,0.001878107,0.000007941472],"about_ca_topic_score_codex":0.00071197154,"about_ca_topic_score_gemma":0.0004909173,"teacher_disagreement_score":0.011374271,"about_ca_system_score_codex":0.0007269446,"about_ca_system_score_gemma":0.00038400845,"threshold_uncertainty_score":0.03805071},"labels":[],"label_agreement":null},{"id":"W2081252814","doi":"10.1080/00927872.2010.526678","title":"Bases and Ideal Generators for Projective Monomial Curves","year":2012,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Monomial; Ideal (ethics); Projective test; Pure mathematics; Set (abstract data type); Basis (linear algebra); Discrete mathematics; Algebra over a field; Geometry; Computer science","score_opus":0.15691702817218064,"score_gpt":0.41456565496192843,"score_spread":0.25764862678974776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081252814","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62018836,0.0025511552,0.2311356,0.0017020407,0.00045993042,0.00015806581,0.000637323,0.00037682962,0.14279072],"genre_scores_gemma":[0.95506567,0.00090880465,0.02633178,0.00014115383,0.00048545725,0.00011736992,0.0007608069,0.00012300871,0.016065976],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99866736,0.00027216604,0.00005807867,0.00018320399,0.00044015213,0.00037901822],"domain_scores_gemma":[0.99872726,0.00031350384,0.0001580147,0.00011561728,0.0003063143,0.00037927274],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013807018,0.00069791736,0.0010056649,0.0024078407,0.0027603274,0.0030724956,0.0010582892,0.00064859755,0.008251958],"category_scores_gemma":[0.0023674683,0.00037151485,0.000729787,0.0014054372,0.003326607,0.004695501,0.002716202,0.002835385,0.0014430074],"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":[0.000023747256,0.000024849438,0.00022758015,0.000026446161,0.0000040383015,0.000063276624,0.00029485935,0.00068142975,0.0012341622,0.9926317,0.0004844477,0.004303404],"study_design_scores_gemma":[0.000018600964,0.00004508881,0.00026952857,0.000026416432,0.0000047912254,0.00012644302,0.00027556552,0.0032664957,0.0021216527,0.98936313,0.0044592703,0.00002317273],"about_ca_topic_score_codex":0.00077227654,"about_ca_topic_score_gemma":0.00058452034,"teacher_disagreement_score":0.008251958,"about_ca_system_score_codex":0.0014703913,"about_ca_system_score_gemma":0.0009161684,"threshold_uncertainty_score":0.027605593},"labels":[],"label_agreement":null},{"id":"W2082752097","doi":"10.1081/agb-100002409","title":"EXTENSIONS OF CLEAN RINGS","year":2001,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":201,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Idempotence; Mathematics; Ring (chemistry); Primitive ring; Principal ideal ring; Von Neumann regular ring; Matrix ring; Noncommutative ring; Reduced ring; Pure mathematics; Commutative ring; Chemistry; Invertible matrix; Commutative property","score_opus":0.09401444121506321,"score_gpt":0.3449966189114357,"score_spread":0.2509821776963725,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082752097","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44473216,0.007834649,0.3757999,0.001989703,0.0013188681,0.00017081865,0.001002536,0.0014990818,0.16565238],"genre_scores_gemma":[0.89891,0.002696331,0.059261452,0.0005397653,0.000952646,0.000096886964,0.00046179397,0.00013850993,0.03694263],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989889,0.0002669827,0.000073990304,0.00022923347,0.00029770244,0.00014312936],"domain_scores_gemma":[0.99767953,0.0004650511,0.00041076698,0.0005196326,0.00049226853,0.00043271427],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012694448,0.00046950096,0.00039032765,0.0012425996,0.0010755233,0.0018638142,0.00041691578,0.00037734426,0.007147054],"category_scores_gemma":[0.0025548742,0.00040899764,0.00073559175,0.00065730716,0.0016966469,0.005734704,0.00307045,0.0012391437,0.0011662745],"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":[0.00012263394,0.00003542598,0.00043302614,0.000118276286,0.000022696984,0.0002835353,0.00044764637,0.00076909334,0.0045444327,0.9769552,0.0021775658,0.014090474],"study_design_scores_gemma":[0.00003606637,0.00018327335,0.0013515141,0.000049266284,0.000049025515,0.0015487784,0.00038129263,0.0033856768,0.006271408,0.90180176,0.08488903,0.00005281465],"about_ca_topic_score_codex":0.00017928507,"about_ca_topic_score_gemma":0.00023761195,"teacher_disagreement_score":0.007147054,"about_ca_system_score_codex":0.00035386052,"about_ca_system_score_gemma":0.00039356903,"threshold_uncertainty_score":0.02390927},"labels":[],"label_agreement":null},{"id":"W2086489755","doi":"10.1080/00927870500288002","title":"Identities of Group Algebras","year":2005,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group 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 Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Group (periodic table); Group algebra; Zero (linguistics); Algebra over a field; Pure mathematics; Field (mathematics); Polynomial; Algebraic group; Matrix (chemical analysis); Algebraic number; Mathematical analysis","score_opus":0.13250249278563372,"score_gpt":0.40227733097326457,"score_spread":0.2697748381876308,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086489755","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.624209,0.00058407127,0.19906268,0.0017840931,0.0004833369,0.00019218883,0.00024051903,0.00030126618,0.17314287],"genre_scores_gemma":[0.9810447,0.00017615389,0.009014423,0.00014051527,0.0001783468,0.000035758494,0.00010197183,0.000024501776,0.009283716],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979121,0.00042563424,0.00010520087,0.00032761926,0.00075981894,0.0004696838],"domain_scores_gemma":[0.99832064,0.00037224355,0.00021983325,0.00024279197,0.00051808904,0.00032646314],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001668671,0.00038044757,0.0005178284,0.0011894634,0.0026985586,0.0030565218,0.0008890561,0.00082408584,0.004596431],"category_scores_gemma":[0.0039796475,0.0002569974,0.00078513194,0.000808928,0.0040926463,0.005128023,0.0024861558,0.0014872015,0.00091149233],"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":[0.0000135509235,0.000016831395,0.00028124277,0.0000132163295,0.0000029719263,0.0001301449,0.00037894014,0.00035625164,0.0006244896,0.9955687,0.00039960284,0.002214025],"study_design_scores_gemma":[0.000012983492,0.000022500592,0.00020969387,0.000009022636,0.000005750592,0.00023030299,0.00021332742,0.004461406,0.0013952999,0.9895571,0.0038740702,0.000008533048],"about_ca_topic_score_codex":0.0016538058,"about_ca_topic_score_gemma":0.0008581247,"teacher_disagreement_score":0.004596431,"about_ca_system_score_codex":0.0016213468,"about_ca_system_score_gemma":0.0012062031,"threshold_uncertainty_score":0.015376627},"labels":[],"label_agreement":null},{"id":"W2088726651","doi":"10.1080/00927872.2011.629267","title":"A Module-Theoretic Interpretation of Schiffler's Expansion Formula","year":2013,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; China Scholarship Council","keywords":"Mathematics; Interpretation (philosophy); Algebra over a field; Calculus (dental); Pure mathematics; Computer science; Programming language","score_opus":0.03223147682258317,"score_gpt":0.31449562876333553,"score_spread":0.2822641519407524,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2088726651","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5675987,0.00067071494,0.23553838,0.0017785826,0.0003182191,0.000077146455,0.00025014885,0.00049245585,0.19327551],"genre_scores_gemma":[0.9718198,0.00017514186,0.013531605,0.00018709246,0.00016879136,0.00004267913,0.000075800526,0.000064426116,0.013934608],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997249,0.000052223782,0.0000101629585,0.000046946683,0.00009654125,0.00006923333],"domain_scores_gemma":[0.9997702,0.00006279737,0.000022256989,0.000027147385,0.0000731716,0.000044409648],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004162504,0.00028860974,0.00033152697,0.001195676,0.0007933892,0.001364069,0.0007997265,0.00049269985,0.0068313014],"category_scores_gemma":[0.0006690619,0.00015280985,0.0003868164,0.00071968866,0.002225029,0.0031290548,0.0013362819,0.0010261466,0.0004840315],"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":[0.000008383082,0.0000068913955,0.00010801877,0.000011554869,0.0000017969447,0.00009148526,0.00010501137,0.000437645,0.0011543041,0.9953957,0.00036318705,0.0023159713],"study_design_scores_gemma":[0.000011395121,0.000024223318,0.00048694076,0.00000936917,0.0000062109784,0.00024359196,0.00014834008,0.009155927,0.0026229632,0.98210984,0.0051659043,0.000015160429],"about_ca_topic_score_codex":0.00052274053,"about_ca_topic_score_gemma":0.00049669313,"teacher_disagreement_score":0.0068313014,"about_ca_system_score_codex":0.0009277893,"about_ca_system_score_gemma":0.0003487645,"threshold_uncertainty_score":0.022852957},"labels":[],"label_agreement":null},{"id":"W2091767797","doi":"10.1080/00927872.2010.509748","title":"Representation Extension and Amalgamation in Pomonoids","year":2011,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"semigroups and automata theory","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Monoid; Flatness (cosmology); Semigroup; Pure mathematics; Extension (predicate logic); Bicyclic semigroup; Algebra over a field; Computer science","score_opus":0.08203625130470472,"score_gpt":0.30504607997179606,"score_spread":0.22300982866709135,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091767797","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33159918,0.0021248655,0.59890115,0.00090935547,0.0003943936,0.00011690316,0.000323579,0.0004889109,0.06514167],"genre_scores_gemma":[0.9515436,0.00048404906,0.035728272,0.00018582672,0.00022094592,0.000068710724,0.00021872489,0.00006851619,0.011481336],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984652,0.00041863756,0.00014413426,0.00037378416,0.00034088234,0.00025744794],"domain_scores_gemma":[0.998287,0.00073991367,0.00020101739,0.00030420214,0.0003118443,0.00015606238],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016832832,0.00044048284,0.00046373342,0.0011707073,0.0011452772,0.0018873258,0.0005839324,0.0005651706,0.005550007],"category_scores_gemma":[0.002895451,0.00032190635,0.0014654889,0.00077711313,0.0038775748,0.0041079023,0.002310871,0.0014141572,0.0006802379],"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":[0.000035119345,0.000011259135,0.00029965793,0.00004736432,0.000006910359,0.00020002243,0.00085772946,0.0005877986,0.0028045082,0.98527074,0.00023250413,0.009646403],"study_design_scores_gemma":[0.000023092045,0.0001346131,0.00085735077,0.000043631808,0.000020369893,0.00044759954,0.00040729262,0.00597293,0.004387729,0.9761815,0.011486579,0.000037400463],"about_ca_topic_score_codex":0.0010537319,"about_ca_topic_score_gemma":0.00048471044,"teacher_disagreement_score":0.005550007,"about_ca_system_score_codex":0.0009591641,"about_ca_system_score_gemma":0.0003976958,"threshold_uncertainty_score":0.018566608},"labels":[],"label_agreement":null},{"id":"W2094983520","doi":"10.1080/00927872.2011.585679","title":"Monomial Ideals of Forest Type","year":2012,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":10,"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":"Memorial University of Newfoundland","keywords":"Mathematics; Monomial; Monomial ideal; Ideal (ethics); Type (biology); Conjecture; Combinatorics; Monomial basis; Vertex (graph theory); Minimal ideal; Polynomial ring; Pure mathematics; Discrete mathematics; Polynomial; Graph; Maximal ideal; Mathematical analysis","score_opus":0.14399016765910758,"score_gpt":0.4042150947933987,"score_spread":0.26022492713429113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2094983520","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46965566,0.0021690729,0.25339398,0.00066259055,0.0006109883,0.000120835066,0.00094807416,0.0006920249,0.27174678],"genre_scores_gemma":[0.94645226,0.0008481842,0.024331491,0.00016725998,0.00040670327,0.000045435958,0.00059581257,0.00009544065,0.027057325],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996494,0.000034650162,0.00001649455,0.00006567975,0.000115757255,0.000118118056],"domain_scores_gemma":[0.99952793,0.00006580819,0.00007679858,0.000053333973,0.00014489272,0.00013120589],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034643093,0.0002540813,0.00029886002,0.0008573871,0.0008697974,0.0015410227,0.00034809185,0.0001462994,0.0042678476],"category_scores_gemma":[0.00055148767,0.00016276,0.0004971675,0.0005397826,0.0012730919,0.0022957167,0.0009892173,0.00084399193,0.00092015095],"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":[0.00008917147,0.000026405356,0.0014015505,0.00006550439,0.000009539393,0.00020241337,0.0004933133,0.0006499492,0.01220497,0.9706439,0.0021172268,0.012096157],"study_design_scores_gemma":[0.000037200913,0.00017101521,0.0044489796,0.000047695223,0.000033273904,0.0013320221,0.0007130933,0.00844257,0.021528538,0.9040863,0.05911323,0.000046093923],"about_ca_topic_score_codex":0.0007635575,"about_ca_topic_score_gemma":0.0009821815,"teacher_disagreement_score":0.0042678476,"about_ca_system_score_codex":0.0005525303,"about_ca_system_score_gemma":0.00041878928,"threshold_uncertainty_score":0.014277339},"labels":[],"label_agreement":null},{"id":"W2103174477","doi":"10.1080/00927870802107918","title":"Constants of Algebraic Derivations in Prime Rings","year":2008,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","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":"Memorial University of Newfoundland","funders":"","keywords":"Subring; Mathematics; Semiprime ring; Prime (order theory); Prime ring; Ring (chemistry); Pi; Algebraic number; Centroid; Polynomial; Polynomial ring; Algebraic properties; Combinatorics; Pure mathematics; Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.1363279595783357,"score_gpt":0.37541658880225254,"score_spread":0.23908862922391683,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2103174477","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6500717,0.007159126,0.22693375,0.0013549023,0.0004379753,0.00013941909,0.0007540829,0.00043303668,0.112716034],"genre_scores_gemma":[0.9488901,0.0018096735,0.030822784,0.00013345451,0.00042712083,0.00005270982,0.00024585493,0.00006193322,0.017556412],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988306,0.00023698174,0.0001059381,0.0003257048,0.0003247446,0.0001760061],"domain_scores_gemma":[0.99824667,0.00061709806,0.0003177641,0.0002150694,0.00035281188,0.0002505913],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014159987,0.0005044357,0.00046910037,0.0016537115,0.0012858025,0.00266734,0.0007417494,0.00036039794,0.004457317],"category_scores_gemma":[0.00359007,0.00046255972,0.00045438673,0.0013566854,0.0026354515,0.005503999,0.0018798269,0.0015895898,0.001310217],"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":[0.000060771126,0.000016590215,0.0005667131,0.0000886666,0.000011222075,0.00015560388,0.00073305785,0.0006807085,0.002996049,0.98057336,0.00074770325,0.013369591],"study_design_scores_gemma":[0.000047146154,0.00010652358,0.0018227375,0.00003304094,0.000041545984,0.0013589206,0.00038722568,0.0037710466,0.00986648,0.94502574,0.0374876,0.00005187531],"about_ca_topic_score_codex":0.00045688698,"about_ca_topic_score_gemma":0.0003413881,"teacher_disagreement_score":0.004457317,"about_ca_system_score_codex":0.0012636725,"about_ca_system_score_gemma":0.0006123232,"threshold_uncertainty_score":0.014911234},"labels":[],"label_agreement":null},{"id":"W2107751336","doi":"10.1080/00927870600639849","title":"On Orderable Poly Engel Groups","year":2006,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group 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 Alberta","funders":"","keywords":"Mathematics; Nilpotent; Group (periodic table); Extension (predicate logic); Locally nilpotent; Finitely-generated abelian group; Pure mathematics; Combinatorics; Nilpotent group; Computer science","score_opus":0.0895059511227225,"score_gpt":0.37061901829527627,"score_spread":0.2811130671725538,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2107751336","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7651005,0.00063547964,0.045691807,0.00075036887,0.00014325029,0.00004629623,0.00014302968,0.000118459146,0.18737079],"genre_scores_gemma":[0.9661922,0.00026380524,0.0034134313,0.00008974982,0.000093574934,0.000029348894,0.00010260489,0.000016667645,0.029798724],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99967456,0.00006207487,0.000017186976,0.00004639324,0.00010611815,0.00009374946],"domain_scores_gemma":[0.9996136,0.000103207065,0.000081077706,0.00004924229,0.000059365655,0.00009358556],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034623363,0.0002544386,0.00024677176,0.00069177686,0.00076099794,0.0010841344,0.00027027138,0.00019507894,0.0065754284],"category_scores_gemma":[0.0006588776,0.00007864858,0.00027516182,0.0003109966,0.0018019027,0.0016174937,0.001695076,0.00061802,0.00066896016],"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":[0.00006627537,0.000025189427,0.0007394203,0.000035079884,0.0000054556644,0.00026316714,0.00072709087,0.0011867298,0.003899689,0.98520315,0.00057879795,0.0072699273],"study_design_scores_gemma":[0.000023234817,0.000069982976,0.0010224592,0.000022310465,0.000006762517,0.00021906888,0.00044596195,0.0037517857,0.00319907,0.97245747,0.018768081,0.00001368473],"about_ca_topic_score_codex":0.00061787985,"about_ca_topic_score_gemma":0.0006576298,"teacher_disagreement_score":0.0065754284,"about_ca_system_score_codex":0.0007845971,"about_ca_system_score_gemma":0.0003605328,"threshold_uncertainty_score":0.021997035},"labels":[],"label_agreement":null},{"id":"W2109357865","doi":"10.1080/00927870008826956","title":"Lie-admissible algebras and generalized witt algebras<sup>∗</sup>","year":2000,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Non-associative algebra; Killing form; Pure mathematics; Lie algebra; Generalized Kac–Moody algebra; Witt vector; Witt algebra; Algebra over a field; Adjoint representation of a Lie algebra; Lie conformal algebra; Affine Lie algebra; Current algebra","score_opus":0.06600798634271461,"score_gpt":0.3491357702232343,"score_spread":0.2831277838805197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2109357865","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41754854,0.01155947,0.15858981,0.008641996,0.0027735129,0.00006786677,0.000581339,0.00068059633,0.39955693],"genre_scores_gemma":[0.9216477,0.00398468,0.015656626,0.001103647,0.0024480412,0.000057293066,0.00047875242,0.00015136591,0.054471925],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994905,0.00012519916,0.00003241635,0.000077595054,0.0001654239,0.00010886833],"domain_scores_gemma":[0.99921143,0.00017748834,0.00018151829,0.00011448117,0.00014364415,0.00017136855],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010593847,0.0008633647,0.00093191385,0.0022162325,0.0016647856,0.0040609534,0.0008748865,0.0012652545,0.010887811],"category_scores_gemma":[0.0017483725,0.00047738626,0.00096415763,0.0032982752,0.0033074263,0.00655389,0.0013579658,0.0027175122,0.0018754443],"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":[0.000014978287,0.000007937525,0.00003883746,0.00002628438,0.000005691415,0.00005640426,0.000107190936,0.00028513974,0.00044496168,0.9959312,0.0007799682,0.0023012839],"study_design_scores_gemma":[0.0000029773523,0.000004631449,0.00005525678,0.000005395933,0.0000022541979,0.000041363633,0.00003102709,0.00067015254,0.00013444139,0.9975043,0.0015432439,0.0000049389664],"about_ca_topic_score_codex":0.00076761347,"about_ca_topic_score_gemma":0.00092908787,"teacher_disagreement_score":0.010887811,"about_ca_system_score_codex":0.0011174786,"about_ca_system_score_gemma":0.00058556924,"threshold_uncertainty_score":0.036423326},"labels":[],"label_agreement":null},{"id":"W2115672944","doi":"10.1080/00927870600549857","title":"On Rings with Few Orbits","year":2006,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","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":"Memorial University of Newfoundland; Hungarian Scientific Research Fund","keywords":"Subject (documents); Mathematics; Mathematics Subject Classification; Automorphism group; Symmetry (geometry); Automorphism; Mathematics education; Algebra over a field; Pure mathematics; Computer science; Library science; Geometry","score_opus":0.05178670839527156,"score_gpt":0.34066663332097297,"score_spread":0.2888799249257014,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2115672944","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9500778,0.00049990136,0.02265788,0.0004349766,0.00006745764,0.000033082928,0.00014065106,0.00007213589,0.026016193],"genre_scores_gemma":[0.9935777,0.00010794546,0.003378046,0.0000301181,0.00009521939,0.000009832423,0.00009134071,0.000009381374,0.0027004015],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994035,0.00014512734,0.00002947094,0.00014142907,0.00015691842,0.00012363365],"domain_scores_gemma":[0.9984451,0.000472231,0.00037253642,0.0002554627,0.00015062832,0.00030397504],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006372575,0.00022906381,0.00041144373,0.00091958605,0.0011692352,0.0013261707,0.00029891616,0.00036961448,0.005431284],"category_scores_gemma":[0.0014672357,0.00017072637,0.00042267606,0.00054863765,0.002716689,0.002780589,0.001395909,0.0005496431,0.00047647796],"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":[0.000106047766,0.000026623116,0.0020838724,0.00006042316,0.0000118337375,0.00028047533,0.00037618572,0.0014633364,0.0037014836,0.98498005,0.0008183783,0.006091205],"study_design_scores_gemma":[0.0000472612,0.00013148373,0.003967597,0.000023242188,0.00002178329,0.00050385226,0.00036784992,0.0084288735,0.002931251,0.9779694,0.005585717,0.000021619295],"about_ca_topic_score_codex":0.00046185387,"about_ca_topic_score_gemma":0.000291944,"teacher_disagreement_score":0.005431284,"about_ca_system_score_codex":0.0006300422,"about_ca_system_score_gemma":0.0003360986,"threshold_uncertainty_score":0.018169463},"labels":[],"label_agreement":null},{"id":"W2124526601","doi":"10.1080/00927872.2013.837170","title":"On the Resolution of Path Ideals of Cycles","year":2015,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":31,"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":"Mathematics; Betti number; Ideal (ethics); Path (computing); Dimension (graph theory); Resolution (logic); Degree (music); Pure mathematics; Projective test; Combinatorics; Artificial intelligence; Computer science","score_opus":0.20528741690958796,"score_gpt":0.39737431156202896,"score_spread":0.192086894652441,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2124526601","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.54372597,0.0018015415,0.3564248,0.00089075416,0.0003753748,0.00019452992,0.00054494425,0.000871456,0.09517071],"genre_scores_gemma":[0.8995211,0.00076464564,0.08449428,0.00019299844,0.00034510816,0.0001085727,0.000576232,0.00022590933,0.013771204],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99934417,0.000083286446,0.00002981722,0.00011726726,0.00026693582,0.0001585419],"domain_scores_gemma":[0.9992662,0.0002901906,0.00007917716,0.000061181854,0.00015790289,0.00014520195],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010556395,0.00069368875,0.00076046045,0.0037049395,0.0011820405,0.002096526,0.0010303068,0.0004956517,0.0054568853],"category_scores_gemma":[0.0035922644,0.00032688983,0.0006526358,0.001656608,0.0023789734,0.0037832535,0.0020259588,0.0014855292,0.00091189484],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008427575,0.000040508203,0.0021499735,0.00011585849,0.000020209964,0.00025865942,0.0004440891,0.0063660773,0.004647437,0.94647586,0.0017186917,0.037678413],"study_design_scores_gemma":[0.000015244362,0.000050276252,0.0012160115,0.00005272163,0.000022250837,0.00022324052,0.00017511874,0.036450718,0.005530114,0.9497528,0.006477056,0.000034483026],"about_ca_topic_score_codex":0.0013178625,"about_ca_topic_score_gemma":0.0014438679,"teacher_disagreement_score":0.0054568853,"about_ca_system_score_codex":0.0010946962,"about_ca_system_score_gemma":0.00042609574,"threshold_uncertainty_score":0.018255115},"labels":[],"label_agreement":null},{"id":"W2126139138","doi":"10.1080/00927872.2012.654416","title":"Groups with Many Rewritable Products","year":2013,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group 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":"McMaster University","keywords":"Combinatorics; Mathematics; Exponent; Integer (computer science); Group (periodic table); Permutation group; Finite group; Bounded function; Permutation (music); Product (mathematics); Discrete mathematics; Physics; Geometry; Computer science; Mathematical analysis","score_opus":0.10429958922094934,"score_gpt":0.34770784550599154,"score_spread":0.2434082562850422,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2126139138","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6060828,0.0021448424,0.32415858,0.0012012358,0.0003428107,0.0001534155,0.0006663064,0.0011846249,0.06406533],"genre_scores_gemma":[0.9305767,0.00040285144,0.05472658,0.00014325019,0.00030127197,0.00011002895,0.00039410286,0.0001288069,0.013216394],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99755955,0.00060597283,0.00028352742,0.00065973046,0.00058743375,0.00030383526],"domain_scores_gemma":[0.9945898,0.0016431683,0.00078330864,0.0020846468,0.0006357671,0.00026329016],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014362192,0.00047630948,0.00076828006,0.0009734413,0.0010427465,0.0024284453,0.00067563873,0.00050559244,0.0034990166],"category_scores_gemma":[0.0051188967,0.00039693792,0.00077598565,0.0008091338,0.0023954236,0.0058810855,0.0026687623,0.0009630105,0.00073226955],"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":[0.00025854763,0.00003917078,0.0012754177,0.00018984749,0.000031931042,0.00080367434,0.0018696924,0.0026814232,0.0108378,0.9436015,0.0010214392,0.03738951],"study_design_scores_gemma":[0.000047146204,0.000117136966,0.000610483,0.000046470144,0.000051668147,0.0010211682,0.00029746667,0.00777638,0.01611975,0.9511598,0.022711137,0.00004148862],"about_ca_topic_score_codex":0.00032067686,"about_ca_topic_score_gemma":0.00033028465,"teacher_disagreement_score":0.0034990166,"about_ca_system_score_codex":0.00088219985,"about_ca_system_score_gemma":0.00045759304,"threshold_uncertainty_score":0.011705399},"labels":[],"label_agreement":null},{"id":"W2132246788","doi":"10.1081/agb-120023130","title":"The 2-Power Degree Subfields of the Splitting Fields of Polynomials with Frobenius Galois Groups","year":2003,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University; Okanagan University College; Okanagan College","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Trinomial; Galois group; Degree (music); Quintic function; Complement (music); Combinatorics; Finite field; Order (exchange); Group (periodic table); Polynomial; Field (mathematics); Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.0268525358548795,"score_gpt":0.25085330576690107,"score_spread":0.22400076991202156,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2132246788","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9642187,0.00027257987,0.018230263,0.00030876888,0.00003932563,0.000030536303,0.000056966743,0.000058835067,0.016784113],"genre_scores_gemma":[0.9901309,0.00014010047,0.003993242,0.00003630931,0.000058945272,0.000018594106,0.000051214836,0.00001175163,0.005558899],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998235,0.000037766255,0.000008541187,0.000021624015,0.000045576267,0.00006302842],"domain_scores_gemma":[0.9995751,0.000114936855,0.00008212828,0.000038618276,0.000061476756,0.00012774605],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047854308,0.00036508412,0.00027112308,0.0010345544,0.0008954318,0.0009280448,0.00025522776,0.00025866972,0.0039044728],"category_scores_gemma":[0.00093386753,0.00026617164,0.00038688423,0.00052589376,0.0014035272,0.002105666,0.0008804003,0.0007004788,0.00044788248],"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":[0.00029327418,0.000081496015,0.003525419,0.00006997619,0.000013739711,0.0008911653,0.0018685916,0.0046632825,0.0150074335,0.95204395,0.0010669108,0.020474754],"study_design_scores_gemma":[0.00010198262,0.00018113255,0.0035094898,0.000047220034,0.000016894659,0.00088219356,0.00069384964,0.014539843,0.01077478,0.958626,0.0105958525,0.00003083663],"about_ca_topic_score_codex":0.0010244177,"about_ca_topic_score_gemma":0.0010736263,"teacher_disagreement_score":0.0039044728,"about_ca_system_score_codex":0.00084212463,"about_ca_system_score_gemma":0.00046643507,"threshold_uncertainty_score":0.013061702},"labels":[],"label_agreement":null},{"id":"W2148399495","doi":"10.1080/00927870701866648","title":"Simple Formulae for the Number of Quadrics and Symmetric Forms of Modules Over Local Rings","year":2008,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Coding theory and cryptography","field":"Computer Science","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":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Simple (philosophy); Algebraic number; Interpretation (philosophy); Type (biology); Representation (politics); Algebra over a field; Pure mathematics; Mathematical analysis; Computer science","score_opus":0.03419347623983653,"score_gpt":0.2976487704496305,"score_spread":0.26345529420979397,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2148399495","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17987706,0.006423348,0.5945677,0.0032614374,0.0026947446,0.00029964914,0.0015243765,0.00072203256,0.21062963],"genre_scores_gemma":[0.79648745,0.003815497,0.16274989,0.0007595165,0.0026940207,0.0004979874,0.0008138605,0.00040641875,0.03177541],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998154,0.00035754262,0.00018802221,0.00033361808,0.0008062136,0.00016053],"domain_scores_gemma":[0.99535394,0.0023342434,0.00063738733,0.00050143624,0.0007988268,0.0003741995],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023594925,0.0013363569,0.0016124072,0.0061789686,0.0014334132,0.0037398734,0.0031262345,0.0017492173,0.011705923],"category_scores_gemma":[0.011501837,0.00060868124,0.0013353316,0.0031182263,0.0049584326,0.011139948,0.0024378584,0.0039117364,0.0024440389],"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":[0.00003093316,0.00002631206,0.00047586748,0.00013368294,0.000010112655,0.000093421186,0.0001622975,0.0008453265,0.0015379543,0.981645,0.0026467985,0.012392278],"study_design_scores_gemma":[0.000010984296,0.000022844017,0.00050263264,0.00003239731,0.000016130942,0.0003730564,0.000052014537,0.0057596103,0.001048778,0.98776895,0.0043841507,0.00002838438],"about_ca_topic_score_codex":0.0002788385,"about_ca_topic_score_gemma":0.0004311214,"teacher_disagreement_score":0.011705923,"about_ca_system_score_codex":0.0019677288,"about_ca_system_score_gemma":0.00069341116,"threshold_uncertainty_score":0.03916025},"labels":[],"label_agreement":null},{"id":"W2150789753","doi":"10.1081/agb-100105987","title":"A JUST NON-FINITELY BASED VARIETY OF BIGROUPS","year":2001,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Unary operation; Variety (cybernetics); Endomorphism; Finitely-generated abelian group; Stallings theorem about ends of groups; Idempotence; Construct (python library); Pure mathematics; Finitely generated group; Algebra over a field; Discrete mathematics; Computer science","score_opus":0.06149951265673601,"score_gpt":0.3154189393446501,"score_spread":0.25391942668791406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2150789753","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79360104,0.0017916139,0.12315389,0.00097604573,0.0002781864,0.00005043496,0.00035300155,0.00039126608,0.07940452],"genre_scores_gemma":[0.9767428,0.0002738329,0.016080642,0.00008259363,0.00008966924,0.000036131652,0.00024039339,0.00003146405,0.006422398],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992799,0.0001854744,0.00004583884,0.0001733927,0.00022353993,0.00009179915],"domain_scores_gemma":[0.9992731,0.00021054216,0.00010419879,0.00014558941,0.00008867483,0.00017791589],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006369842,0.00031485702,0.00041950372,0.0011944489,0.0009794123,0.0028726675,0.0006750633,0.00044299563,0.0030376678],"category_scores_gemma":[0.0008301894,0.00020887693,0.00043271252,0.000799226,0.0028581766,0.0046507507,0.0024739818,0.0010141733,0.00033958704],"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":[0.00005882213,0.000012835546,0.000846699,0.000045554854,0.000010401831,0.0002421474,0.0006060158,0.0004476153,0.0039181313,0.9879644,0.00043010467,0.005417347],"study_design_scores_gemma":[0.000050810482,0.00011402372,0.0029158923,0.0000428886,0.000029647414,0.0012439871,0.0011651079,0.0027336336,0.004894435,0.9526968,0.034068275,0.000044538778],"about_ca_topic_score_codex":0.00017288794,"about_ca_topic_score_gemma":0.00018214695,"teacher_disagreement_score":0.0030376678,"about_ca_system_score_codex":0.0007152849,"about_ca_system_score_gemma":0.00019365082,"threshold_uncertainty_score":0.010161996},"labels":[],"label_agreement":null},{"id":"W2161891084","doi":"10.1080/00927872.2010.538781","title":"Clean Index of Rings","year":2012,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"National Taiwan University; National Science Council; Natural Sciences and Engineering Research Council of Canada; National Center for Theoretical Sciences","keywords":"Idempotence; Mathematics; Unit (ring theory); Ring (chemistry); Combinatorics; Index (typography); Discrete mathematics; Computer science; Chemistry","score_opus":0.08289633753205441,"score_gpt":0.3412002684672128,"score_spread":0.25830393093515835,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2161891084","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19521502,0.028594334,0.4673364,0.0054066204,0.0059946193,0.00035470963,0.0051245955,0.0017473245,0.29022637],"genre_scores_gemma":[0.8287583,0.0067896647,0.11676554,0.0017392485,0.005726806,0.00044813435,0.0022068385,0.00058730243,0.036978114],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9949923,0.00083532464,0.000542064,0.0012765228,0.0016495166,0.0007042539],"domain_scores_gemma":[0.9911016,0.0021376037,0.0018941442,0.0015959438,0.0019126539,0.0013579171],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028676833,0.0008279703,0.0013102132,0.00542753,0.0028205896,0.004951168,0.0011546331,0.0011064769,0.0077102627],"category_scores_gemma":[0.009455028,0.00064372364,0.0010603893,0.003006392,0.0049153944,0.0109557845,0.004483719,0.0029215752,0.0022876498],"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":[0.000059405284,0.000018212766,0.0005577352,0.00011085337,0.000016243988,0.00010391151,0.00034026138,0.00039700314,0.0011065786,0.9803193,0.004237211,0.012733271],"study_design_scores_gemma":[0.000017634482,0.00009737242,0.0013202834,0.00007583546,0.00003248304,0.00060886797,0.0002269684,0.0031667612,0.0025653155,0.9137669,0.07806191,0.000059618014],"about_ca_topic_score_codex":0.0004157862,"about_ca_topic_score_gemma":0.00033869952,"teacher_disagreement_score":0.0077102627,"about_ca_system_score_codex":0.0017513903,"about_ca_system_score_gemma":0.0008426624,"threshold_uncertainty_score":0.025793374},"labels":[],"label_agreement":null},{"id":"W2162977479","doi":"10.1080/00927872.2013.783586","title":"Tame Automorphisms of Elementary Free Groups","year":2014,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Mathematics; Automorphism; Finitely-generated abelian group; Pure mathematics; Group (periodic table); Free group; Automorphism group; Outer automorphism group; Automorphisms of the symmetric and alternating groups; Combinatorics; Chemistry","score_opus":0.05498583065012398,"score_gpt":0.3260370921084171,"score_spread":0.2710512614582931,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2162977479","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90786904,0.00048098038,0.052142743,0.00055252266,0.00013799797,0.000029293218,0.000108001135,0.00030018718,0.038379207],"genre_scores_gemma":[0.99408406,0.00010223865,0.0018180615,0.000046327346,0.00005622544,0.000008348674,0.000041008814,0.000019348096,0.0038244512],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994493,0.0001146297,0.000029066936,0.00011284962,0.00013868343,0.00015539111],"domain_scores_gemma":[0.99822766,0.00070400885,0.000250002,0.00046318208,0.0001773921,0.0001777416],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007689097,0.00045895646,0.00041794064,0.00086271757,0.00077077525,0.0014961397,0.00048592457,0.00045078027,0.0036306041],"category_scores_gemma":[0.0023339298,0.00024303838,0.00049918424,0.00029149314,0.0036854164,0.0026593364,0.0026320785,0.0014650668,0.0005885252],"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":[0.000096024676,0.000035987832,0.0012867819,0.00004933343,0.00001615445,0.0003555915,0.0016307678,0.0011351338,0.0064642583,0.982031,0.00043041122,0.006468627],"study_design_scores_gemma":[0.000040860505,0.00016331488,0.0012626738,0.000021596672,0.0000335364,0.0005701568,0.0006157097,0.004853923,0.010284177,0.9735615,0.008569717,0.000022862705],"about_ca_topic_score_codex":0.00029631905,"about_ca_topic_score_gemma":0.00022241977,"teacher_disagreement_score":0.0036306041,"about_ca_system_score_codex":0.00047222653,"about_ca_system_score_gemma":0.0002667079,"threshold_uncertainty_score":0.012145579},"labels":[],"label_agreement":null},{"id":"W2163777841","doi":"10.1080/00927870008827029","title":"Alternative rings of small order","year":2000,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Associative property; Prime (order theory); Order (exchange); Dimension (graph theory); Prime power; Perfect field; Pure mathematics; Construct (python library); Combinatorics; Algebra over a field; Computer science","score_opus":0.08962760724396965,"score_gpt":0.3660630202759428,"score_spread":0.27643541303197317,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2163777841","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85064316,0.0016246996,0.067221366,0.00065794337,0.00019692106,0.00005670288,0.0002362165,0.00017433266,0.07918864],"genre_scores_gemma":[0.9830738,0.00029311507,0.0115614105,0.000050325634,0.000061873616,0.000014024818,0.00009146787,0.000008182047,0.004845861],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993436,0.00012727849,0.000033704317,0.000107723885,0.00022580723,0.00016197356],"domain_scores_gemma":[0.99893147,0.00021484372,0.00021267896,0.00016799728,0.00020512461,0.00026787017],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007459049,0.00037053757,0.0003076369,0.00082948804,0.0009488573,0.0014856402,0.0004270617,0.00022327517,0.0048515247],"category_scores_gemma":[0.00132693,0.00018410449,0.0004164371,0.0005490831,0.001865669,0.0027069952,0.0019770504,0.0007995032,0.00058748724],"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":[0.00019774145,0.000028337052,0.002083788,0.00012559372,0.000020380598,0.00029017392,0.00044662468,0.0018090431,0.005116982,0.9718758,0.0010260771,0.016979257],"study_design_scores_gemma":[0.00006294789,0.00039204533,0.003505614,0.00007875003,0.00007607208,0.0015563405,0.00085490756,0.0076606534,0.011461528,0.9264028,0.04787267,0.00007563147],"about_ca_topic_score_codex":0.0002032804,"about_ca_topic_score_gemma":0.00029988697,"teacher_disagreement_score":0.0048515247,"about_ca_system_score_codex":0.0005254488,"about_ca_system_score_gemma":0.00038307902,"threshold_uncertainty_score":0.016229928},"labels":[],"label_agreement":null},{"id":"W2257343814","doi":"10.1080/00927872.2015.1113292","title":"Finite-dimensional Representations for a Class of Generalized Intersection Matrix Lie Algebras","year":2016,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"National Natural Science Foundation of China; University of Lethbridge","keywords":"Mathematics; Pure mathematics; Class (philosophy); Intersection (aeronautics); Matrix (chemical analysis); Algebra over a field; Lie conformal algebra; Adjoint representation of a Lie algebra; Killing form; Lie algebra","score_opus":0.09609220281762555,"score_gpt":0.4029076488672791,"score_spread":0.30681544604965355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2257343814","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89776707,0.00063827925,0.06843035,0.00056270737,0.0000947664,0.000038151637,0.000085184445,0.00018959852,0.032193955],"genre_scores_gemma":[0.9875058,0.00017934051,0.007837273,0.00007280584,0.00008049969,0.000027852017,0.00011115696,0.000016845674,0.0041683284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966264,0.000051817755,0.000013805981,0.000052481842,0.00013918211,0.000080084494],"domain_scores_gemma":[0.9996319,0.00004972378,0.00009780298,0.00005131437,0.00007344383,0.00009582069],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029430684,0.00030970477,0.00041004037,0.0009803795,0.0011275552,0.0019016177,0.00079807977,0.00057997723,0.003028516],"category_scores_gemma":[0.0008762137,0.00016543196,0.00054439774,0.0006163509,0.0016058924,0.002365882,0.0011488113,0.0010275558,0.00032316617],"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":[0.000014773938,0.000014078166,0.00043705013,0.000017678145,0.000006255948,0.0001414827,0.0002689649,0.0009126528,0.0015212962,0.9931397,0.00030221255,0.0032238646],"study_design_scores_gemma":[0.000015299074,0.000036141577,0.0009179852,0.000017522018,0.000008879616,0.0005861064,0.0003479955,0.021183545,0.0014210964,0.9712086,0.0042310907,0.000025862768],"about_ca_topic_score_codex":0.00065191096,"about_ca_topic_score_gemma":0.0004777541,"teacher_disagreement_score":0.003028516,"about_ca_system_score_codex":0.0007073261,"about_ca_system_score_gemma":0.0004515316,"threshold_uncertainty_score":0.010131359},"labels":[],"label_agreement":null},{"id":"W2277984766","doi":"10.1080/00927872.2016.1222406","title":"An extension of a theorem of Kaplansky","year":2016,"lang":"en","type":"preprint","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","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; Generalization; Fundamental theorem; Unipotent; Pure mathematics; Discrete mathematics; Extension (predicate logic); Fixed-point theorem; Computer science; Mathematical analysis","score_opus":0.08564556281687787,"score_gpt":0.3573080161879166,"score_spread":0.2716624533710387,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2277984766","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12645406,0.0027709266,0.6202544,0.0057464344,0.0014239601,0.00015237088,0.00081206334,0.0007383013,0.24164744],"genre_scores_gemma":[0.88127553,0.0022045292,0.07111256,0.001724528,0.0018076225,0.00016174962,0.00039849814,0.00018712872,0.04112792],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990658,0.000115516705,0.000062415675,0.00035462403,0.00026736254,0.00013432004],"domain_scores_gemma":[0.9981982,0.00053544337,0.00021595959,0.00037320732,0.00046166862,0.00021548865],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012902048,0.00041688952,0.0004651745,0.0012952128,0.0012524298,0.0017494014,0.00074028474,0.0005041069,0.0091879275],"category_scores_gemma":[0.002878166,0.00023673454,0.00088721304,0.0007945411,0.0033431675,0.0050253207,0.0034093845,0.0018084043,0.0017641169],"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":[0.000028443666,0.000023678362,0.00058075343,0.00008558663,0.000011452138,0.00013059142,0.00052300224,0.00072778057,0.0024276767,0.97923833,0.002798547,0.013424189],"study_design_scores_gemma":[0.000027497295,0.00006706757,0.00071911054,0.000029283174,0.00001436981,0.00040620816,0.00015787335,0.0029318745,0.0031654583,0.9334992,0.058957025,0.000024951787],"about_ca_topic_score_codex":0.00080617005,"about_ca_topic_score_gemma":0.0004259788,"teacher_disagreement_score":0.0091879275,"about_ca_system_score_codex":0.0011789269,"about_ca_system_score_gemma":0.0010719376,"threshold_uncertainty_score":0.030736685},"labels":[],"label_agreement":null},{"id":"W2295568785","doi":"10.1080/00927872.2017.1404073","title":"Finitely additive, modular, and probability functions on pre-Semirings","year":2017,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Semiring; Dedekind cut; Modular design; Finitely-generated abelian group; Bottleneck; Algebra over a field","score_opus":0.05424614788522338,"score_gpt":0.31250610247223304,"score_spread":0.2582599545870097,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2295568785","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3412937,0.0019565811,0.6373732,0.00063549366,0.00018011217,0.000056926805,0.00017604862,0.00023882932,0.018089145],"genre_scores_gemma":[0.92564166,0.00076974643,0.06692315,0.00015691637,0.00030367842,0.00008014748,0.00012857487,0.00006237345,0.005933845],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973309,0.0007453761,0.00021074424,0.00043552538,0.0009228051,0.00035458768],"domain_scores_gemma":[0.99488306,0.002163026,0.00072985876,0.00059864,0.000934225,0.00069128507],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0035130305,0.00091974775,0.0005947211,0.0023080308,0.0010879273,0.0028237943,0.00094213104,0.00058557873,0.001741471],"category_scores_gemma":[0.005275195,0.00036631915,0.0012566389,0.001381199,0.00397078,0.0069364375,0.0017676969,0.0016560567,0.0005563866],"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":[0.000031478736,0.00002285556,0.00049427745,0.00003345657,0.000012714218,0.0001186435,0.00030498358,0.0018188533,0.0019386848,0.98768765,0.00015744849,0.0073789665],"study_design_scores_gemma":[0.000024818435,0.00014022997,0.0012469796,0.000034137815,0.000041441745,0.0006077103,0.0002856403,0.029973613,0.0066860723,0.95371175,0.0072038756,0.000043853808],"about_ca_topic_score_codex":0.00065992307,"about_ca_topic_score_gemma":0.0003868179,"teacher_disagreement_score":0.0035130305,"about_ca_system_score_codex":0.0013585796,"about_ca_system_score_gemma":0.00073653174,"threshold_uncertainty_score":0.018578887},"labels":[],"label_agreement":null},{"id":"W2295724805","doi":"10.1080/00927872.2015.1027396","title":"Irreducible Modules for the Lie Algebra of Divergence Zero Vector Fields on a Torus","year":2016,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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":"Carleton University","funders":"","keywords":"Mathematics; Irreducibility; Divergence (linguistics); Lie algebra; Vector field; Zero (linguistics); Subalgebra; Lie bracket of vector fields; Pure mathematics; Torus; Lie conformal algebra; Universal enveloping algebra; Algebra over a field; Adjoint representation of a Lie algebra; Geometry","score_opus":0.08839762535303211,"score_gpt":0.3431722853751816,"score_spread":0.25477466002214944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2295724805","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73258597,0.0010079691,0.17025685,0.0010923031,0.00027880608,0.00018826127,0.00040907614,0.00045700851,0.093723804],"genre_scores_gemma":[0.96464056,0.0005320733,0.020834608,0.00015404739,0.00027106123,0.00006670236,0.00032007607,0.00007833225,0.013102491],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990472,0.00016851533,0.00005871907,0.00012582685,0.00040944092,0.00019022348],"domain_scores_gemma":[0.9988502,0.00024974954,0.00027605685,0.00017008375,0.00018703737,0.00026679906],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011000286,0.0008134895,0.0005228544,0.0019273501,0.0013321958,0.0017710768,0.0008802816,0.00065560197,0.0051609157],"category_scores_gemma":[0.0017973243,0.00028426523,0.0010993714,0.0007642396,0.0035261381,0.0043697674,0.0016819014,0.0019184921,0.0007350361],"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":[0.000014455142,0.000031287043,0.00026212743,0.00003524759,0.0000049665678,0.00016869832,0.0005224583,0.0007581491,0.001820508,0.99177563,0.00032796248,0.0042783776],"study_design_scores_gemma":[0.000010801767,0.00010140516,0.0005956037,0.000016400414,0.000010603333,0.00041481812,0.00022328006,0.0033895627,0.0018825848,0.98891896,0.004412014,0.000024026736],"about_ca_topic_score_codex":0.00055616256,"about_ca_topic_score_gemma":0.0004510661,"teacher_disagreement_score":0.0051609157,"about_ca_system_score_codex":0.0009125724,"about_ca_system_score_gemma":0.00077057106,"threshold_uncertainty_score":0.017265022},"labels":[],"label_agreement":null},{"id":"W2335719187","doi":"10.1080/00927872.2013.780062","title":"Algorithms for Finding the Roots of Some Quadratic Octonion Equations","year":2014,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic and Geometric Analysis","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 Manitoba","funders":"","keywords":"Mathematics; Quadratic equation; MATLAB; Quadratic function; Applied mathematics; Computer science; Geometry","score_opus":0.1387071534062458,"score_gpt":0.3886063560652339,"score_spread":0.24989920265898813,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2335719187","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.008133513,0.00020860438,0.98319983,0.00019158321,0.0000801369,0.000075558855,0.0002036761,0.0019499144,0.005957098],"genre_scores_gemma":[0.04489831,0.00019360187,0.9479463,0.00009019815,0.00003915181,0.0001225744,0.0005827392,0.00078649464,0.00534061],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993992,0.000081706996,0.000063754225,0.00014520327,0.00021405937,0.000096094394],"domain_scores_gemma":[0.99887556,0.00047521567,0.00008847047,0.00013983178,0.00035470325,0.00006622746],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006687572,0.0013641767,0.0010379837,0.0019010033,0.0012728889,0.0012800985,0.001609403,0.0011206378,0.022095911],"category_scores_gemma":[0.004636962,0.0006247546,0.000992409,0.0014130117,0.0007030456,0.002714975,0.0020686993,0.0016270045,0.00832291],"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":[0.00033507773,0.00018260753,0.0016541808,0.00062036666,0.00008171295,0.00039872064,0.00057917164,0.0764386,0.015808873,0.12781563,0.026178872,0.7499061],"study_design_scores_gemma":[0.00031479413,0.00011402112,0.00087431073,0.00012644382,0.0000629927,0.0005786448,0.00043258493,0.63598156,0.01882233,0.29764837,0.044913985,0.0001300241],"about_ca_topic_score_codex":0.0023140316,"about_ca_topic_score_gemma":0.0042593507,"teacher_disagreement_score":0.022095911,"about_ca_system_score_codex":0.00074318354,"about_ca_system_score_gemma":0.0012442014,"threshold_uncertainty_score":0.07391822},"labels":[],"label_agreement":null},{"id":"W2342906401","doi":"10.1080/00927872.2015.1057828","title":"On Linear Dependence Over Complete Differential Algebraic Varieties","year":2015,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"University of Waterloo; American Mathematical Society","keywords":"Mathematics; Variety (cybernetics); Completeness (order theory); Differential (mechanical device); Algebraic number; Projective space; Differential algebraic geometry; Projective variety; Linear differential equation; Differential algebra; Pure mathematics; Algebra over a field; Projective test; Differential equation; Algebraic variety; Differential algebraic equation; Mathematical analysis; Statistics; Physics","score_opus":0.06526809990563727,"score_gpt":0.30323951762615053,"score_spread":0.23797141772051328,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2342906401","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24491616,0.0044988366,0.42536855,0.008086925,0.00048469,0.00015501435,0.0017795354,0.00029609242,0.31441417],"genre_scores_gemma":[0.9341323,0.0033334675,0.031319458,0.0012166062,0.0010756594,0.00014925354,0.001306274,0.00012861857,0.027338298],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989176,0.0002948254,0.000052488558,0.00024084345,0.0003082774,0.00018595505],"domain_scores_gemma":[0.9968137,0.0014302484,0.00029174183,0.0005205815,0.0006623996,0.00028140197],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014246561,0.0006164972,0.00080881355,0.0018730706,0.0014320109,0.0013813542,0.0010705461,0.0007253185,0.006546958],"category_scores_gemma":[0.0038159618,0.00037297196,0.00077655824,0.0024924397,0.0034701067,0.0065795905,0.0037006103,0.0031634201,0.00077597273],"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":[0.000007104921,0.0000071158324,0.0001700827,0.000030937692,0.0000034222296,0.000072786934,0.00019209973,0.00045713465,0.00023521783,0.99578434,0.0009707235,0.0020690153],"study_design_scores_gemma":[0.000005757964,0.00001330562,0.00037586555,0.000017767537,0.0000053307795,0.00014596393,0.000058402864,0.0026509606,0.0003230797,0.9886396,0.0077554886,0.000008323507],"about_ca_topic_score_codex":0.0010192848,"about_ca_topic_score_gemma":0.0006354422,"teacher_disagreement_score":0.006546958,"about_ca_system_score_codex":0.0015680469,"about_ca_system_score_gemma":0.0005647175,"threshold_uncertainty_score":0.021901727},"labels":[],"label_agreement":null},{"id":"W2415224207","doi":"10.1080/00927872.2015.1033715","title":"Central Automorphisms and Inner Automorphisms in Finitely Generated Groups","year":2016,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Alzahra University; University of Lethbridge","keywords":"Automorphism; Mathematics; Automorphisms of the symmetric and alternating groups; Finitely-generated abelian group; Pure mathematics; Group (periodic table)","score_opus":0.11130474228825306,"score_gpt":0.3509213781275372,"score_spread":0.23961663583928416,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2415224207","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9103957,0.0016421623,0.043958627,0.00073250383,0.00013297005,0.000022323737,0.00006442533,0.00014010379,0.042911272],"genre_scores_gemma":[0.99313265,0.00027794685,0.002856044,0.000040587325,0.00011125664,0.000011428873,0.000048495946,0.000013379354,0.0035081718],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99938834,0.00018497765,0.000034977194,0.000093582225,0.00013733347,0.00016074968],"domain_scores_gemma":[0.9982724,0.0007624731,0.0003211865,0.00019731495,0.0002197415,0.00022679579],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00083269854,0.00027546682,0.00035706494,0.0012561327,0.00075714715,0.0016771875,0.00039414383,0.00042209507,0.001330431],"category_scores_gemma":[0.002022957,0.0001648028,0.0005515476,0.0006126133,0.0042931503,0.0019710588,0.001438538,0.00080613507,0.00027862698],"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":[0.00005398075,0.00004202682,0.0013984486,0.000035927875,0.0000098035025,0.00014819748,0.0013164086,0.0011989712,0.0032279,0.98494565,0.0003495745,0.007273061],"study_design_scores_gemma":[0.000014588326,0.00005851045,0.0011699591,0.000019774328,0.000009280052,0.00024282087,0.00035147843,0.0030825771,0.002009631,0.98883367,0.0041941702,0.000013652819],"about_ca_topic_score_codex":0.000573574,"about_ca_topic_score_gemma":0.0004247384,"teacher_disagreement_score":0.0016771875,"about_ca_system_score_codex":0.0010009535,"about_ca_system_score_gemma":0.00047839005,"threshold_uncertainty_score":0.0072624683},"labels":[],"label_agreement":null},{"id":"W2463720351","doi":"10.1080/00927872.2015.1130146","title":"Locally Finite Groups with Centralizers of Finite Rank","year":2016,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group 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 Manitoba","funders":"","keywords":"Mathematics; Centralizer and normalizer; CA-group; Automorphism; Involution (esoterism); Rank (graph theory); Classification of finite simple groups; Group of Lie type; Simple group; Pure mathematics; Simple (philosophy); Combinatorics; Group theory; Abelian group","score_opus":0.08541666206989074,"score_gpt":0.3476077818901665,"score_spread":0.26219111982027576,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2463720351","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9833671,0.00022003184,0.008195921,0.00011481712,0.0000094146835,0.000015819705,0.0000806177,0.000079649755,0.007916656],"genre_scores_gemma":[0.9968451,0.000040340215,0.0014258652,0.000010373434,0.000018791565,0.000005231803,0.00007995244,0.000005867852,0.0015684374],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966264,0.000062390514,0.00002147275,0.00006645015,0.00007412781,0.0001129086],"domain_scores_gemma":[0.9987835,0.00034115496,0.00036208273,0.00015912151,0.00012768495,0.00022655101],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031887207,0.00029945784,0.0003325358,0.0016673369,0.0005571409,0.0013733918,0.00036147615,0.00035889843,0.0022314726],"category_scores_gemma":[0.0010794094,0.00015723043,0.00036580145,0.0006448421,0.0029632528,0.0017286398,0.0009416806,0.0004710015,0.00026890272],"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":[0.00069190084,0.00013800904,0.026514368,0.00023842344,0.00009839386,0.0014873439,0.0044374275,0.008398955,0.051502366,0.87133664,0.0012283438,0.03392776],"study_design_scores_gemma":[0.00012761338,0.00066292397,0.025279071,0.00008006072,0.000120304416,0.0028285147,0.0035113806,0.020622639,0.037713744,0.8976054,0.011335448,0.00011297416],"about_ca_topic_score_codex":0.0007397805,"about_ca_topic_score_gemma":0.0007346184,"teacher_disagreement_score":0.0022314726,"about_ca_system_score_codex":0.00071787206,"about_ca_system_score_gemma":0.0005359537,"threshold_uncertainty_score":0.0074650645},"labels":[],"label_agreement":null},{"id":"W2531071150","doi":"10.1080/00927872.2015.1065844","title":"On Fully Residually- Groups","year":2016,"lang":"en","type":"article","venue":"Communications in Algebra","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":"Carleton University","funders":"","keywords":"Stallings theorem about ends of groups; Relatively hyperbolic group; Group (periodic table); Generalization; Finitely-generated abelian group; Profinite group; Embedding; Transitive relation; Iterated function; Homomorphism","score_opus":0.08017872741301683,"score_gpt":0.3508608076690773,"score_spread":0.27068208025606044,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2531071150","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6565032,0.0032855629,0.16259925,0.0018570416,0.0004143944,0.00018775731,0.00061139005,0.00035237195,0.1741891],"genre_scores_gemma":[0.97105116,0.000530407,0.012466716,0.00018952225,0.00030725027,0.00005755229,0.00047126424,0.000037707163,0.014888454],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99876034,0.00023419093,0.00006056406,0.00027366172,0.00035592282,0.00031528954],"domain_scores_gemma":[0.99885213,0.0002773414,0.00017739543,0.00023506254,0.00025140608,0.00020661984],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008694846,0.0005860947,0.00047123007,0.00123229,0.0010602918,0.0014278718,0.00089601,0.00051147456,0.0051324237],"category_scores_gemma":[0.0016432242,0.00019161757,0.0006572351,0.0006344757,0.0038329621,0.004205871,0.0037472358,0.0012934185,0.00081620127],"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":[0.000019706424,0.000013316638,0.00044675817,0.00003120932,0.00000490059,0.00010190467,0.00069060904,0.00044506058,0.001365771,0.9914408,0.0004866995,0.004953345],"study_design_scores_gemma":[0.000017250064,0.00010944097,0.001097659,0.00003227978,0.000015716132,0.00034119596,0.0005444875,0.005524131,0.0025224185,0.96132624,0.028448395,0.000020772573],"about_ca_topic_score_codex":0.0010119217,"about_ca_topic_score_gemma":0.0005496133,"teacher_disagreement_score":0.0051324237,"about_ca_system_score_codex":0.0008816293,"about_ca_system_score_gemma":0.0004080577,"threshold_uncertainty_score":0.017169714},"labels":[],"label_agreement":null},{"id":"W2593370264","doi":"10.1080/00927872.2012.695834","title":"Resolutions of 2 and 3 Dimensional Rings of Invariants for Cyclic Groups","year":2013,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Mathematics; Ring (chemistry); Combinatorics; Group ring; Resolution (logic); Order (exchange); Simple (philosophy); Betti number; Cyclic group; Pure mathematics; Group (periodic table)","score_opus":0.09016338491533821,"score_gpt":0.36141381429495784,"score_spread":0.27125042937961963,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2593370264","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88010895,0.0017083635,0.039005283,0.00060658215,0.00026582484,0.00008965948,0.00028152522,0.0002171752,0.07771664],"genre_scores_gemma":[0.9821472,0.00029068376,0.0086108,0.00007467549,0.0001614334,0.000033950673,0.00018238262,0.000033029082,0.008465737],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99941707,0.00011850623,0.000029759027,0.00009574576,0.0001727694,0.00016616132],"domain_scores_gemma":[0.9993999,0.00016765806,0.0001444906,0.000049261256,0.000032692686,0.00020600634],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007370035,0.0004923182,0.00047519297,0.0013623376,0.0011170603,0.0024480831,0.0007185404,0.0005058607,0.008231308],"category_scores_gemma":[0.001170297,0.00032533534,0.00073105143,0.0005642306,0.0016380395,0.0026983146,0.0018789682,0.0010096412,0.0006823234],"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":[0.00011136676,0.00006394121,0.0008976123,0.00005613074,0.000016841854,0.000886288,0.0010585104,0.0022525461,0.0073372223,0.9769753,0.0011589089,0.009185315],"study_design_scores_gemma":[0.00008900856,0.0001779232,0.004303414,0.000056147066,0.00004216481,0.0014348044,0.00074105646,0.014332297,0.0107014915,0.9521873,0.015857344,0.00007717896],"about_ca_topic_score_codex":0.0004583452,"about_ca_topic_score_gemma":0.0005682297,"teacher_disagreement_score":0.008231308,"about_ca_system_score_codex":0.00088851154,"about_ca_system_score_gemma":0.00036577758,"threshold_uncertainty_score":0.027536511},"labels":[],"label_agreement":null},{"id":"W2614076856","doi":"10.1080/00927872.2017.1327061","title":"Revised proof of a theorem concerning an involution with local Engel or power commuting condition","year":2017,"lang":"en","type":"article","venue":"Communications in Algebra","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":"Carleton University","funders":"","keywords":"Involution (esoterism); Mathematics; Pure mathematics; Discrete mathematics; Calculus (dental); Algebra over a field; Law","score_opus":0.12130723607970173,"score_gpt":0.4013695213763566,"score_spread":0.2800622852966549,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2614076856","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03257864,0.008835018,0.6245921,0.041856106,0.0577983,0.00019921044,0.002638718,0.002110914,0.22939101],"genre_scores_gemma":[0.5869654,0.007264462,0.19593361,0.0149079785,0.021414023,0.0003562614,0.0021837354,0.0020483956,0.16892622],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985013,0.0003878986,0.00010895772,0.00033741543,0.0005134726,0.0001510465],"domain_scores_gemma":[0.9963744,0.0011615986,0.00019305035,0.0005831715,0.0014348774,0.00025292492],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023921893,0.0007904179,0.0007985267,0.0017224369,0.0012048859,0.0018604288,0.0017534455,0.0014069839,0.03346491],"category_scores_gemma":[0.006876095,0.00029322185,0.001633844,0.00112705,0.0022900465,0.0036494322,0.0022783123,0.0043094754,0.006709651],"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":[0.0001068166,0.000048491893,0.00021959607,0.00057595083,0.000047570396,0.0004508166,0.0004209474,0.00083612424,0.0052479017,0.9018706,0.06227344,0.027901754],"study_design_scores_gemma":[0.000046362962,0.00008421919,0.0007369839,0.0001426332,0.00006727782,0.0008128259,0.0001353423,0.004133429,0.0049598566,0.81364894,0.17517224,0.000059952603],"about_ca_topic_score_codex":0.0012294,"about_ca_topic_score_gemma":0.0006868574,"teacher_disagreement_score":0.03346491,"about_ca_system_score_codex":0.0015443793,"about_ca_system_score_gemma":0.0014518305,"threshold_uncertainty_score":0.11195129},"labels":[],"label_agreement":null},{"id":"W2789404368","doi":"10.1080/00927872.2018.1444169","title":"Gelfand–Kirillov dimension of generalized Weyl algebras (In memory of Guenter Rudolf Krause (1941–2015))","year":2018,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","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 Manitoba","funders":"","keywords":"Mathematics; Pure mathematics; Weyl algebra; Dimension (graph theory); Noetherian; Integer (computer science); Iterated function; Universal enveloping algebra; Quantum; Polynomial; Non-associative algebra; Generalized Kac–Moody algebra; Algebra over a field; Affine Lie algebra; Current algebra; Mathematical analysis","score_opus":0.07801605722523455,"score_gpt":0.3800915943554199,"score_spread":0.3020755371301853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2789404368","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8450817,0.0121516455,0.081647396,0.0041518314,0.0009053579,0.00004051978,0.0002939369,0.0001887979,0.05553881],"genre_scores_gemma":[0.9825073,0.002145874,0.009542454,0.00020041347,0.00052260165,0.000026605965,0.00009251408,0.000034856675,0.004927447],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997509,0.000069077236,0.000010535487,0.00006343824,0.000058783746,0.000047363115],"domain_scores_gemma":[0.9994529,0.00018478172,0.000099881705,0.00006206926,0.00008339979,0.00011707429],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00070015976,0.00058218517,0.00052418525,0.002113146,0.00089355925,0.0012622987,0.00057688635,0.00048495887,0.0021020384],"category_scores_gemma":[0.0027044911,0.0002800606,0.0005121581,0.0009809303,0.0028122626,0.0032158345,0.0015002784,0.0014691309,0.00036621912],"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":[0.000028495742,0.000015712581,0.0007316662,0.00007648245,0.000020415158,0.00007382343,0.00023104754,0.0033475256,0.0014993979,0.9851517,0.0013447362,0.00747893],"study_design_scores_gemma":[0.000007908841,0.00002753526,0.0011244752,0.000032531152,0.000009329803,0.00016643209,0.000049032726,0.008224329,0.0011443243,0.9841217,0.0050590355,0.00003332904],"about_ca_topic_score_codex":0.000991881,"about_ca_topic_score_gemma":0.0006735034,"teacher_disagreement_score":0.002113146,"about_ca_system_score_codex":0.0015091139,"about_ca_system_score_gemma":0.00063097157,"threshold_uncertainty_score":0.010949433},"labels":[],"label_agreement":null},{"id":"W2799024692","doi":"10.1080/00927872.2018.1539173","title":"Newtonian valued differential fields with arbitrary value group","year":2019,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Polynomial and algebraic computation","field":"Computer Science","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Differential algebra; Equivalence (formal languages); Uniqueness; Differential (mechanical device); Group (periodic table); Algebraic differential equation; Algebraic number; Differential algebraic geometry","score_opus":0.014830480996174806,"score_gpt":0.24713886012263883,"score_spread":0.23230837912646402,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2799024692","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.607995,0.0010022157,0.20366395,0.0023896853,0.0002851621,0.000047136673,0.00018422768,0.00025123658,0.18418153],"genre_scores_gemma":[0.9675163,0.00035492645,0.014152079,0.00013856133,0.00021526004,0.000020781932,0.000070199116,0.000025531614,0.017506469],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956995,0.0000771316,0.000023400811,0.0000959114,0.00016940276,0.000064198466],"domain_scores_gemma":[0.99906963,0.00026838313,0.00013900262,0.00017095543,0.000210578,0.00014155143],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073310605,0.00025250454,0.00031028435,0.0008325787,0.0008629823,0.0015572957,0.00046469894,0.00039004814,0.0025228662],"category_scores_gemma":[0.0021039054,0.00018409362,0.00036506326,0.00070258876,0.0036931108,0.004514014,0.0016258816,0.0013443519,0.00031440318],"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":[0.0000056991908,0.0000027623166,0.00007678207,0.000005671517,9.073225e-7,0.000022958608,0.00010043087,0.00017855366,0.00051163114,0.9973918,0.000095647556,0.0016070886],"study_design_scores_gemma":[0.0000060730567,0.000014696091,0.00015203348,0.000004946419,0.0000024577744,0.00008604527,0.000052067644,0.0016425669,0.00096784683,0.9920739,0.0049916245,0.0000057086518],"about_ca_topic_score_codex":0.000503612,"about_ca_topic_score_gemma":0.00046572223,"teacher_disagreement_score":0.0025228662,"about_ca_system_score_codex":0.00149631,"about_ca_system_score_gemma":0.00071088003,"threshold_uncertainty_score":0.010856569},"labels":[],"label_agreement":null},{"id":"W2802803115","doi":"10.1080/00927872.2018.1459646","title":"Rings whose cyclic modules are lifting and ⊕-supplemented","year":2018,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Arithmetic; Algebra over a field; Combinatorics","score_opus":0.07187911035937496,"score_gpt":0.34172980965587557,"score_spread":0.26985069929650063,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2802803115","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9032207,0.0007007322,0.0339214,0.00019861294,0.000109747794,0.000053466043,0.00019239307,0.0002227648,0.061380215],"genre_scores_gemma":[0.983977,0.00027123763,0.007998787,0.000050437775,0.0001053112,0.00002314914,0.0002273436,0.000015788088,0.0073309136],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994981,0.000077080986,0.00004243509,0.000099144454,0.00014678545,0.00013637239],"domain_scores_gemma":[0.99931765,0.00011081983,0.00022640644,0.00009388712,0.000109918525,0.00014129737],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005529251,0.00033097685,0.0002840948,0.0007047182,0.0005542326,0.0010343898,0.00026493057,0.00016788565,0.0036700915],"category_scores_gemma":[0.00089904753,0.00025834635,0.0004983466,0.00041704156,0.0013600127,0.0016008926,0.001266941,0.00046762038,0.000486264],"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":[0.00054231304,0.00009257042,0.007508294,0.0002650598,0.0000913001,0.001432106,0.0012936111,0.0026355335,0.043809913,0.8765079,0.002162655,0.0636588],"study_design_scores_gemma":[0.00012823699,0.0011851023,0.0275759,0.00017822307,0.0003226929,0.009194213,0.0017303443,0.018189548,0.10281432,0.75939524,0.07912762,0.0001586074],"about_ca_topic_score_codex":0.00028723257,"about_ca_topic_score_gemma":0.00035544066,"teacher_disagreement_score":0.0036700915,"about_ca_system_score_codex":0.00041152904,"about_ca_system_score_gemma":0.00039448327,"threshold_uncertainty_score":0.012277722},"labels":[],"label_agreement":null},{"id":"W2896936409","doi":"10.1080/00927872.2018.1477954","title":"A classification of torsion classes in abelian categories","year":2018,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","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 Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Abelian group; Torsion (gastropod); Torsion subgroup; Pure mathematics; Algebra over a field; Elementary abelian group; Medicine; Anatomy","score_opus":0.096445645859514,"score_gpt":0.3536061000426722,"score_spread":0.2571604541831582,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2896936409","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8052835,0.002448032,0.11523026,0.0015436114,0.00037377293,0.000070285496,0.00038856748,0.00054852985,0.07411345],"genre_scores_gemma":[0.9774721,0.00047987522,0.013357305,0.00015775605,0.00022711996,0.00004257596,0.00025303787,0.00006953374,0.007940727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99897563,0.0001582818,0.00007841437,0.00018222674,0.00033349713,0.00027203592],"domain_scores_gemma":[0.9984736,0.00046652686,0.00012517894,0.00021026438,0.0003773201,0.00034712127],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012124095,0.0006522531,0.0006473338,0.0051875515,0.0016267503,0.0027681945,0.0011437469,0.00090368435,0.008146889],"category_scores_gemma":[0.0021123195,0.00032235598,0.0004995522,0.0020703548,0.004021603,0.006689194,0.0029842758,0.0020250133,0.00079869496],"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":[0.000052583913,0.000043566874,0.0029963641,0.00007569693,0.000011046338,0.00019680914,0.0014543753,0.0003257045,0.005324729,0.9677541,0.0013157224,0.020449296],"study_design_scores_gemma":[0.000023375562,0.00010082043,0.0038678728,0.000063506894,0.00002367778,0.0008326837,0.00087844144,0.0024108693,0.00268013,0.97419286,0.014877483,0.00004836605],"about_ca_topic_score_codex":0.00044560162,"about_ca_topic_score_gemma":0.0002843498,"teacher_disagreement_score":0.008146889,"about_ca_system_score_codex":0.00089111057,"about_ca_system_score_gemma":0.000397989,"threshold_uncertainty_score":0.027254045},"labels":[],"label_agreement":null},{"id":"W2958329528","doi":"10.1080/00927872.2020.1803344","title":"A generalization of Strassen’s Positivstellensatz","year":2020,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Banach Space 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":"Perimeter Institute","funders":"","keywords":"Preorder; Homomorphism; Generalization; Monotone polygon; Commutative property; Polynomial","score_opus":0.09611874202385197,"score_gpt":0.36230286331412465,"score_spread":0.2661841212902727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2958329528","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20926347,0.0012760408,0.64961547,0.007851679,0.0004484539,0.0002331001,0.0008382282,0.0006170477,0.12985651],"genre_scores_gemma":[0.9231627,0.00065018074,0.05801567,0.0014810257,0.00040942436,0.00015480777,0.00049256114,0.0001216133,0.015511998],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997398,0.00063139584,0.00012076919,0.0008661226,0.00070084503,0.00028292756],"domain_scores_gemma":[0.9945251,0.002503646,0.00031564364,0.0014935774,0.00086143723,0.00030068876],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0040144264,0.00084670086,0.00070226006,0.0014331616,0.0011218078,0.0016079786,0.001739255,0.0010313645,0.0077200495],"category_scores_gemma":[0.007381748,0.0004646761,0.0016899849,0.0011690118,0.0070013586,0.00769926,0.0033684499,0.0045499844,0.0012209028],"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":[0.000022935652,0.000018677203,0.00017612053,0.000034872646,0.000007991855,0.00006794483,0.00017204513,0.0014815492,0.0015169745,0.99107134,0.00081682013,0.004612858],"study_design_scores_gemma":[0.000018665016,0.000048778045,0.00023756057,0.000016707101,0.0000065046634,0.00018019372,0.00006301865,0.0076270276,0.0017391114,0.9834297,0.006615171,0.000017598086],"about_ca_topic_score_codex":0.0010667351,"about_ca_topic_score_gemma":0.00086760434,"teacher_disagreement_score":0.0077200495,"about_ca_system_score_codex":0.0018739267,"about_ca_system_score_gemma":0.0012051304,"threshold_uncertainty_score":0.025826156},"labels":[],"label_agreement":null},{"id":"W2962705146","doi":"10.1080/00927872.2019.1612421","title":"On the module structure of the center of hyperelliptic Krichever–Novikov algebras II","year":2019,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Simons Foundation","keywords":"Mathematics; Invertible matrix; Hyperelliptic curve; Dihedral group; Center (category theory); Extension (predicate logic); Combinatorics; Algebraically closed field; Novikov self-consistency principle; Pure mathematics; Group (periodic table); Algebra over a field; Crystallography","score_opus":0.0320332099716,"score_gpt":0.2835211457573923,"score_spread":0.2514879357857923,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962705146","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88588095,0.0012632995,0.024912383,0.0006081278,0.00012323399,0.000057711917,0.00025821975,0.0001320248,0.086764015],"genre_scores_gemma":[0.9868066,0.00037872823,0.0039824643,0.00009135288,0.00017087047,0.000026635831,0.00017258101,0.000043575557,0.008327104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99957544,0.00006934613,0.000021978474,0.00007350905,0.00012562927,0.00013413005],"domain_scores_gemma":[0.9995016,0.00007854999,0.00011253247,0.000049333128,0.000087496395,0.0001705944],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006235184,0.00043716872,0.0005863805,0.0023940713,0.0016236787,0.0027445653,0.00086221576,0.00062744546,0.004517388],"category_scores_gemma":[0.00095825666,0.00034841988,0.00039803222,0.0010256212,0.0026974035,0.0027381317,0.0021847081,0.0010068393,0.0009255625],"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":[0.000046671845,0.000035970916,0.00056215795,0.000038811428,0.0000054628617,0.00018306133,0.0006128633,0.0013709817,0.0025666445,0.9888227,0.0005720304,0.00518271],"study_design_scores_gemma":[0.00002612963,0.000052895623,0.0015548513,0.000042277734,0.0000068754584,0.00025527345,0.00030688694,0.0056291055,0.0022768923,0.98499334,0.0048179775,0.000037549093],"about_ca_topic_score_codex":0.0013678663,"about_ca_topic_score_gemma":0.000974865,"teacher_disagreement_score":0.004517388,"about_ca_system_score_codex":0.0015495311,"about_ca_system_score_gemma":0.0007216694,"threshold_uncertainty_score":0.015112102},"labels":[],"label_agreement":null},{"id":"W2963369877","doi":"10.1080/00927870902855556","title":"Cyclotomic Temperley–Lieb Algebra of Type<i>D</i>and Its Representation Theory","year":2009,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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":"Mathematics; Type (biology); Generalization; Pure mathematics; Algebra over a field; Basis (linear algebra); Class (philosophy); Computer science; Mathematical analysis","score_opus":0.06075122470984847,"score_gpt":0.35544593923604184,"score_spread":0.2946947145261934,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963369877","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68749857,0.0016939692,0.16049433,0.0011807577,0.0004259367,0.00009556465,0.0005101133,0.0001796039,0.14792113],"genre_scores_gemma":[0.9699724,0.00045896324,0.01952099,0.00019387357,0.00015961558,0.000038398957,0.00023427738,0.000017024393,0.009404678],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998398,0.000026791782,0.000010390119,0.000041710926,0.000044371463,0.0000369661],"domain_scores_gemma":[0.9996432,0.000043082437,0.0000953946,0.00006729911,0.00007876862,0.00007215996],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023298165,0.00017548769,0.00023426085,0.0007892855,0.00068428967,0.0011576049,0.00044412568,0.00035033387,0.0044790367],"category_scores_gemma":[0.00041965587,0.00012098696,0.00034650473,0.00056535756,0.0014716702,0.0011481881,0.00063096045,0.00068848865,0.0004755056],"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":[0.000011166662,0.000008901939,0.00037215766,0.000021380154,0.0000034279017,0.00007055401,0.000107847154,0.00055869884,0.0021522255,0.9931369,0.00051069766,0.0030460812],"study_design_scores_gemma":[0.00001614633,0.000047914193,0.0012098097,0.000022102106,0.000012695864,0.0007257155,0.00026952568,0.010976646,0.0042571393,0.9635685,0.018869568,0.000024145766],"about_ca_topic_score_codex":0.0009159253,"about_ca_topic_score_gemma":0.0005249968,"teacher_disagreement_score":0.0044790367,"about_ca_system_score_codex":0.0006449746,"about_ca_system_score_gemma":0.00038578638,"threshold_uncertainty_score":0.014983892},"labels":[],"label_agreement":null},{"id":"W3097181665","doi":"10.1080/00927872.2020.1842881","title":"Fgc extended affine Lie algebras as fixed point subalgebras","year":2020,"lang":"en","type":"article","venue":"Communications in Algebra","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 Alberta","funders":"Natural Science Foundation of Hubei Province; National Natural Science Foundation of China","keywords":"Mathematics; Affine transformation; Pure mathematics; Automorphism; Fixed point; Affine representation; Abelian group; Lie algebra; Affine Lie algebra; Algebra over a field; Mathematical analysis; Current algebra","score_opus":0.09678061800907635,"score_gpt":0.3659406156144896,"score_spread":0.26915999760541326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3097181665","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77856046,0.0010728175,0.15737139,0.00048016623,0.00018477876,0.00013076523,0.00035341497,0.0003378448,0.06150828],"genre_scores_gemma":[0.97149515,0.0003386709,0.016811818,0.0001395837,0.0001864807,0.000056174522,0.000270708,0.00003842137,0.010663072],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99959904,0.000074816024,0.000022263368,0.00007273922,0.00014634416,0.000084793755],"domain_scores_gemma":[0.99954337,0.000048354574,0.00008085035,0.000055172648,0.00018535744,0.000086776585],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043029306,0.0004759913,0.0003834104,0.0014004257,0.0009984048,0.0010880029,0.00054353883,0.00045878737,0.003041167],"category_scores_gemma":[0.0007900997,0.00015691038,0.00065181404,0.00064631045,0.0017606574,0.0018331584,0.0008015866,0.0009978181,0.00048594843],"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":[0.000016819431,0.000014641908,0.0003845253,0.000029459177,0.00001090883,0.00023686167,0.00029318046,0.0012693166,0.0041834847,0.9881797,0.00038580853,0.004995346],"study_design_scores_gemma":[0.000010501991,0.00004098061,0.0009442436,0.000014366133,0.000012449012,0.00034137335,0.00018630711,0.014532462,0.0035837737,0.97565424,0.00465633,0.000022992795],"about_ca_topic_score_codex":0.002044675,"about_ca_topic_score_gemma":0.0011742808,"teacher_disagreement_score":0.003041167,"about_ca_system_score_codex":0.0007199981,"about_ca_system_score_gemma":0.00053628045,"threshold_uncertainty_score":0.010173738},"labels":[],"label_agreement":null},{"id":"W3147307294","doi":"10.1080/00927872.2023.2189961","title":"Restricting admissible representations to fixed-point subgroups","year":2023,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Fixed point; Equivalence (formal languages); Group (periodic table); Pure mathematics; Representation (politics); Induced representation; Point (geometry); Combinatorics; Irreducible representation; Discrete mathematics; Mathematical analysis","score_opus":0.1287025259532183,"score_gpt":0.4247082153454999,"score_spread":0.2960056893922816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3147307294","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56748754,0.00039279964,0.31661063,0.0012749718,0.00031079896,0.00014389856,0.00027810983,0.00048460194,0.1130166],"genre_scores_gemma":[0.96213084,0.00040145474,0.02471175,0.00022456411,0.0002162646,0.000119556295,0.00029028158,0.00015446155,0.011750799],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984774,0.00033640716,0.00012259104,0.00032254853,0.00034309484,0.0003979875],"domain_scores_gemma":[0.9980077,0.000527277,0.00023917177,0.0006998331,0.00023170093,0.00029434907],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015266045,0.00069523044,0.00058267114,0.0024615102,0.0019529103,0.0043676374,0.0014023228,0.0015010415,0.004498382],"category_scores_gemma":[0.004140105,0.00051579095,0.0014401425,0.0016771691,0.0049939346,0.0070313974,0.0043234993,0.003476007,0.0006844381],"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":[0.00001171973,0.000009287033,0.00022453348,0.000009210948,0.0000028410418,0.000063682346,0.00057327806,0.00034017224,0.0007724333,0.99552,0.00017468,0.0022981388],"study_design_scores_gemma":[0.000013126037,0.00001790602,0.00016879058,0.00001966903,0.000007648672,0.00013540397,0.00041629674,0.0021574267,0.0014791184,0.9911122,0.0044584307,0.000014011878],"about_ca_topic_score_codex":0.00082699885,"about_ca_topic_score_gemma":0.00073278544,"teacher_disagreement_score":0.004498382,"about_ca_system_score_codex":0.0013615063,"about_ca_system_score_gemma":0.00056692114,"threshold_uncertainty_score":0.015048623},"labels":[],"label_agreement":null},{"id":"W3177348076","doi":"10.1080/00927872.2021.1983581","title":"A note on hyperbolically embedded subgroups","year":2021,"lang":"en","type":"preprint","venue":"Communications in Algebra","topic":"Geometric and Algebraic Topology","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":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Memorial University of Newfoundland","keywords":"Mathematics; Group (periodic table); Normal subgroup; Pure mathematics; Combinatorics; Physics","score_opus":0.09204624254757328,"score_gpt":0.37577557347242546,"score_spread":0.2837293309248522,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3177348076","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16185068,0.052786987,0.21529321,0.040027853,0.020474901,0.00010270273,0.000701143,0.00060919585,0.50815326],"genre_scores_gemma":[0.7891534,0.027393814,0.06626388,0.006310836,0.009863324,0.00006556151,0.0004147871,0.00027553405,0.100258976],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997125,0.00007778353,0.000018202989,0.00006565771,0.00009248693,0.000033306984],"domain_scores_gemma":[0.9996126,0.00017461056,0.000029507373,0.00006558301,0.00005891221,0.000058822046],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005978451,0.00045683575,0.00042711076,0.00078472204,0.0007491669,0.001193227,0.00053153955,0.00055716693,0.0037799447],"category_scores_gemma":[0.0009159933,0.00019862688,0.00035171313,0.00096502743,0.002354038,0.0037921923,0.002018184,0.0031295056,0.0007813772],"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":[0.000021916567,0.000015659418,0.0002071544,0.000053339474,0.0000054207644,0.0002530727,0.00065752934,0.00032759164,0.0018548635,0.97675496,0.007137577,0.012711045],"study_design_scores_gemma":[0.000009692626,0.00005729631,0.000637385,0.00004318885,0.000009949771,0.00024661256,0.00038142683,0.0009475825,0.0011860506,0.7805575,0.21590628,0.000016977056],"about_ca_topic_score_codex":0.0014776004,"about_ca_topic_score_gemma":0.0013466739,"teacher_disagreement_score":0.0037799447,"about_ca_system_score_codex":0.0007705541,"about_ca_system_score_gemma":0.00033346852,"threshold_uncertainty_score":0.012645185},"labels":[],"label_agreement":null},{"id":"W3178514026","doi":"10.1080/00927872.2021.1935985","title":"Generalized power commuting antiautomorphisms","year":2021,"lang":"en","type":"article","venue":"Communications in Algebra","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":"Carleton University","funders":"","keywords":"Mathematics; Noncommutative geometry; Combinatorics; Prime (order theory); Type (biology); Ring (chemistry); Prime power; Discrete mathematics; Pure mathematics","score_opus":0.09810277628747326,"score_gpt":0.3806793803663056,"score_spread":0.28257660407883234,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3178514026","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6306867,0.00077174464,0.24344583,0.00088360626,0.0008935497,0.00009274286,0.0002734416,0.0007558526,0.1221965],"genre_scores_gemma":[0.95872974,0.00028135502,0.022985857,0.0002598223,0.00034809354,0.00006014253,0.00010109837,0.000091519265,0.017142395],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990766,0.00021140788,0.00006553502,0.00029125166,0.00019715512,0.00015808144],"domain_scores_gemma":[0.9987375,0.00037586185,0.00012507418,0.00033681164,0.0002611864,0.0001635211],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001089743,0.00025312984,0.00030769143,0.00044659607,0.0005623772,0.0011455973,0.00063771434,0.00035075127,0.0056981943],"category_scores_gemma":[0.0018291179,0.00017481933,0.00038879132,0.00033570649,0.0021816627,0.0024993417,0.0010453819,0.0007535003,0.0009136747],"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":[0.000048246653,0.000020423931,0.0002391691,0.000034990997,0.0000054476773,0.00023500953,0.00034193683,0.00037541043,0.005354751,0.98410046,0.0006335915,0.008610544],"study_design_scores_gemma":[0.000037869926,0.00009037128,0.00051027717,0.000011034828,0.000011952404,0.0005363282,0.0001603695,0.004948437,0.0074361423,0.969205,0.017027708,0.000024480925],"about_ca_topic_score_codex":0.00016408264,"about_ca_topic_score_gemma":0.00016020832,"teacher_disagreement_score":0.0056981943,"about_ca_system_score_codex":0.00032396452,"about_ca_system_score_gemma":0.0002842983,"threshold_uncertainty_score":0.0190624},"labels":[],"label_agreement":null},{"id":"W3179960841","doi":"10.1080/00927872.2023.2173766","title":"Hilbert schemes with two Borel-fixed points in arbitrary characteristic","year":2023,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Commutative Algebra and Its Applications","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; Fixed point; Pure mathematics; Borel equivalence relation; Discrete mathematics; Mathematical analysis; Borel measure; Probability measure","score_opus":0.0837754446970179,"score_gpt":0.3773153608663823,"score_spread":0.29353991616936437,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3179960841","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48780513,0.0005469019,0.45130187,0.0017924136,0.00023813927,0.00011655346,0.00028920078,0.00031289682,0.057596914],"genre_scores_gemma":[0.9480082,0.0002453202,0.042458035,0.00010594711,0.00009498215,0.000036519035,0.00019290014,0.000045234327,0.008812825],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991277,0.0001618433,0.000047203,0.00015365658,0.0003155418,0.00019418176],"domain_scores_gemma":[0.9979055,0.0007664793,0.00022955051,0.0004001895,0.00033933745,0.0003588516],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015654356,0.00038497924,0.00042021854,0.001760448,0.0010027622,0.0024223216,0.0007780156,0.0005628609,0.0042891894],"category_scores_gemma":[0.003921974,0.00023619548,0.00065750134,0.001417526,0.0036108852,0.0057758936,0.0027068108,0.0021159975,0.00047046662],"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":[0.000024104433,0.000008606297,0.00072158093,0.00001712824,0.0000029571258,0.000037801536,0.00021812196,0.000574674,0.00080028333,0.9899845,0.000266142,0.0073441947],"study_design_scores_gemma":[0.000026587855,0.0000626184,0.00076716807,0.000027701019,0.000008579854,0.00015802868,0.00026693966,0.008285044,0.0032647687,0.9787562,0.008351196,0.000025173453],"about_ca_topic_score_codex":0.0005356932,"about_ca_topic_score_gemma":0.0005159061,"teacher_disagreement_score":0.0042891894,"about_ca_system_score_codex":0.0015278108,"about_ca_system_score_gemma":0.00087412616,"threshold_uncertainty_score":0.014348745},"labels":[],"label_agreement":null},{"id":"W4226184386","doi":"10.1080/00927872.2022.2049807","title":"On the characterization of some non-abelian simple groups with few codegrees","year":2022,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","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":"National Natural Science Foundation of China; National Sanitarium Association; Simons Foundation","keywords":"Mathematics; Isomorphism (crystallography); Abelian group; Characterization (materials science); Combinatorics; Set (abstract data type); Simple (philosophy); Group (periodic table); Simple group; PSL; Pure mathematics; Discrete mathematics; Computer science; Chemistry; Crystallography","score_opus":0.08922900897223272,"score_gpt":0.3373289790412304,"score_spread":0.24809997006899764,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4226184386","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9500914,0.0003307654,0.033070046,0.0003854225,0.00003076108,0.000023929511,0.000111335794,0.000090011956,0.015866304],"genre_scores_gemma":[0.99070716,0.00014034612,0.0056530777,0.000049007456,0.000087528526,0.000019744572,0.00016308468,0.000025256726,0.0031548261],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994424,0.0001318782,0.000029572037,0.00012281384,0.00015993873,0.00011347175],"domain_scores_gemma":[0.9963863,0.0015798862,0.0007711442,0.0002701447,0.00032743448,0.0006651604],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068333466,0.00045731614,0.0005269947,0.0022972843,0.0009565025,0.0018164894,0.0006060558,0.00070209283,0.0019644343],"category_scores_gemma":[0.0038512493,0.000213036,0.0004509017,0.0008858079,0.0036384908,0.002385048,0.0016308383,0.0011175957,0.0003595484],"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":[0.00037691175,0.00013367379,0.0063390434,0.00014781432,0.000034964698,0.00095828273,0.0027180552,0.0050024665,0.019190693,0.94661736,0.00090267684,0.017577935],"study_design_scores_gemma":[0.00004912818,0.00023460887,0.005718909,0.00006798134,0.000029364744,0.0017663473,0.00084083475,0.030164268,0.010179537,0.9433201,0.00755389,0.00007501855],"about_ca_topic_score_codex":0.00044369957,"about_ca_topic_score_gemma":0.00034683774,"teacher_disagreement_score":0.0022972843,"about_ca_system_score_codex":0.000669636,"about_ca_system_score_gemma":0.00035127564,"threshold_uncertainty_score":0.0065716505},"labels":[],"label_agreement":null},{"id":"W4229636975","doi":"10.1080/00927872.2015.1087546","title":"Commuting Involution","year":2016,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","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":"Carleton University","funders":"","keywords":"Mathematics; Involution (esoterism); Pure mathematics; Quaternion algebra; Division algebra; Function field; Quaternion; Galois theory; Semiprime ring; Field (mathematics); Discrete mathematics; Combinatorics; Algebra over a field; Prime (order theory); Subalgebra; Geometry","score_opus":0.12747250104603802,"score_gpt":0.3866750816122622,"score_spread":0.2592025805662242,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4229636975","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32458895,0.00094880647,0.25654492,0.0013292101,0.0017465508,0.00028729497,0.00052376994,0.0011074756,0.41292298],"genre_scores_gemma":[0.91352654,0.00036951026,0.029271316,0.00037939366,0.00031431427,0.00016835459,0.0002858329,0.00019803959,0.05548681],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986823,0.00026370175,0.00010298945,0.0003339112,0.000307778,0.0003092916],"domain_scores_gemma":[0.9992112,0.00017727212,0.00006928887,0.00018906347,0.00020596919,0.00014720277],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010131438,0.00040265545,0.00046961528,0.00060004345,0.0017349742,0.0016377033,0.00050350017,0.0006001653,0.010145993],"category_scores_gemma":[0.0013628036,0.00022708841,0.00037486549,0.0005490703,0.002578042,0.0020039035,0.0016768841,0.0008536254,0.0019329314],"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":[0.000029215716,0.00003130744,0.0003155794,0.00003094043,0.0000056927342,0.00017788557,0.00040690272,0.0001782427,0.0025508467,0.9844691,0.0019590715,0.009845178],"study_design_scores_gemma":[0.000038655395,0.00009023566,0.0003803243,0.000017877644,0.000012104294,0.00073034095,0.0002694597,0.0027529865,0.007978347,0.92353886,0.064165145,0.000025560965],"about_ca_topic_score_codex":0.00043929945,"about_ca_topic_score_gemma":0.0005384707,"teacher_disagreement_score":0.010145993,"about_ca_system_score_codex":0.000630069,"about_ca_system_score_gemma":0.0007385386,"threshold_uncertainty_score":0.033941746},"labels":[],"label_agreement":null},{"id":"W4232636687","doi":"10.1081/agb-120004878","title":"MODULES IN WHICH EVERY FULLY INVARIANT SUBMODULE IS ESSENTIAL IN A DIRECT SUMMAND","year":2002,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","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":"McMaster University","funders":"","keywords":"Mathematics; Invariant (physics); Pure mathematics; Free module; Generalization; Property (philosophy); Ring (chemistry); Direct limit; Discrete mathematics; Mathematical analysis","score_opus":0.064296216549515,"score_gpt":0.30167752803160275,"score_spread":0.23738131148208774,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4232636687","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8966671,0.00040465948,0.055967674,0.00019803662,0.00006240325,0.00004230323,0.00010740462,0.0002280812,0.04632231],"genre_scores_gemma":[0.9860107,0.00013303432,0.007983079,0.000037959493,0.000056693087,0.00001489116,0.00008140131,0.00001579301,0.005666417],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971014,0.000032003514,0.000025492469,0.00005982792,0.00008353391,0.000088912646],"domain_scores_gemma":[0.9994248,0.00009609429,0.000089650064,0.00007459092,0.0001064763,0.00020844603],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005640502,0.00026982572,0.00025872694,0.0005974777,0.00055206334,0.0009815547,0.00034375078,0.00024927102,0.0023540312],"category_scores_gemma":[0.00065595447,0.0001663716,0.00037069622,0.00031095184,0.0014355519,0.0021686452,0.0015141432,0.0006432861,0.00038219258],"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":[0.00020625723,0.00013443474,0.005696669,0.00016049333,0.000043746117,0.0022253424,0.0016666813,0.001893575,0.059807032,0.895672,0.0011569392,0.031336777],"study_design_scores_gemma":[0.000034444558,0.00032908597,0.010711808,0.00005401218,0.000096739335,0.0043790513,0.0008731852,0.009045331,0.07452575,0.8717447,0.02815494,0.000050873434],"about_ca_topic_score_codex":0.0001756022,"about_ca_topic_score_gemma":0.0002402772,"teacher_disagreement_score":0.0023540312,"about_ca_system_score_codex":0.00034576113,"about_ca_system_score_gemma":0.0002678153,"threshold_uncertainty_score":0.007875025},"labels":[],"label_agreement":null},{"id":"W4248649087","doi":"10.1080/00927870701649283","title":"On the Number of Galois Points for a Plane Curve in Positive Characteristic","year":2008,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":11,"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":"Mount Allison University","keywords":"Wronskian; Mathematics; Galois group; Modulo; Section (typography); Plane (geometry); Embedding problem; Pure mathematics; Algebra over a field; Discrete mathematics; Computer science; Geometry","score_opus":0.06819892182215334,"score_gpt":0.33740313187496207,"score_spread":0.2692042100528087,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4248649087","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97924954,0.0004061075,0.010987639,0.00026713943,0.000027628952,0.000025316736,0.00021955732,0.000055606513,0.008761508],"genre_scores_gemma":[0.9948613,0.0003386076,0.0029151482,0.000011713417,0.000042990134,0.000023069517,0.00013967497,0.000008918995,0.0016585352],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912506,0.00017294456,0.00005838357,0.00022591508,0.00023276675,0.00018496136],"domain_scores_gemma":[0.9970024,0.0014628078,0.0005524554,0.00021773872,0.00022317088,0.000541413],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014015603,0.00068565825,0.0008174018,0.0043965066,0.0016354246,0.0027632234,0.00091893796,0.0009589695,0.0044164304],"category_scores_gemma":[0.004369938,0.00029749126,0.0005263035,0.001999378,0.0035285868,0.004373084,0.0018447979,0.0008581374,0.00033071032],"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":[0.0012416374,0.00012301299,0.04826312,0.0004242576,0.00012251938,0.0014668154,0.0016683122,0.016702984,0.02449442,0.8571295,0.002106926,0.046256393],"study_design_scores_gemma":[0.00024550915,0.00054674083,0.042537104,0.00019064319,0.00020136395,0.0042362427,0.0021558178,0.04214278,0.03868945,0.8463131,0.022541486,0.00019985808],"about_ca_topic_score_codex":0.00028756054,"about_ca_topic_score_gemma":0.00018328687,"teacher_disagreement_score":0.0044164304,"about_ca_system_score_codex":0.001372366,"about_ca_system_score_gemma":0.00034139835,"threshold_uncertainty_score":0.014774442},"labels":[],"label_agreement":null},{"id":"W4250175813","doi":"10.1080/00927872.2016.1222412","title":"<i>C</i>4-Modules","year":2016,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Nanjing University; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Ohio State University","keywords":"Mathematics; Generalization; Homomorphism; Square (algebra); Pure mathematics; Discrete mathematics; Algebra over a field; Combinatorics; Mathematical analysis; Geometry","score_opus":0.07437671587816198,"score_gpt":0.33079272986334235,"score_spread":0.2564160139851804,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4250175813","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41159764,0.0032957788,0.14603235,0.0017819625,0.0008490677,0.00025727178,0.0018226901,0.0014965419,0.43286666],"genre_scores_gemma":[0.85234475,0.0010693712,0.08485627,0.00065159815,0.00041960995,0.00016991716,0.0011554377,0.00016803527,0.059164975],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99954575,0.0000822577,0.00003164969,0.00008716304,0.00013351488,0.000119539385],"domain_scores_gemma":[0.99946016,0.000069275935,0.00011568491,0.000080563,0.00018576335,0.00008862108],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050189235,0.00044296228,0.00017361532,0.0013226722,0.00069412286,0.001775815,0.0006629173,0.00045170446,0.008592075],"category_scores_gemma":[0.0005123177,0.00017560521,0.00038810106,0.00092132646,0.0014249695,0.0017722541,0.0012394995,0.0007645321,0.0015536257],"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":[0.000095614196,0.000026181853,0.0009115964,0.00015480026,0.00003093166,0.0002798199,0.00026691513,0.0011277634,0.01957878,0.9354417,0.0068939095,0.035192005],"study_design_scores_gemma":[0.00003783455,0.00017133073,0.004668189,0.000058299687,0.000045972756,0.0014632888,0.00032094598,0.007133888,0.036207914,0.6485029,0.30127883,0.00011067969],"about_ca_topic_score_codex":0.00071520347,"about_ca_topic_score_gemma":0.00044753743,"teacher_disagreement_score":0.008592075,"about_ca_system_score_codex":0.00084141555,"about_ca_system_score_gemma":0.0005166336,"threshold_uncertainty_score":0.028743327},"labels":[],"label_agreement":null},{"id":"W4386203794","doi":"10.1080/00927872.2023.2248248","title":"On the normalizer of an iterated wreath product","year":2023,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Wreath product; Centralizer and normalizer; Mathematics; Combinatorics; Permutation group; Iterated function; Symmetric group; Mathematics Subject Classification; Group (periodic table); Product (mathematics); Permutation (music); Geometry; Physics","score_opus":0.21777728995003823,"score_gpt":0.42506231819411167,"score_spread":0.20728502824407344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386203794","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76018566,0.00060919067,0.10390772,0.00053296826,0.00028263207,0.000044957364,0.000115368755,0.00028259124,0.13403891],"genre_scores_gemma":[0.95815086,0.0003746746,0.014617803,0.00011167804,0.00037838356,0.000055576653,0.00015160037,0.00012655625,0.026032783],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989365,0.00018066763,0.000053217896,0.00028540837,0.0002987961,0.00024544916],"domain_scores_gemma":[0.99884254,0.00030474723,0.00020827254,0.00014700316,0.0002156074,0.0002818357],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00092526496,0.00072813476,0.00067637285,0.0013365624,0.0014764757,0.002166061,0.0006840791,0.0005309165,0.004007902],"category_scores_gemma":[0.0020759662,0.00031088275,0.00075616146,0.0007434099,0.00500916,0.004105347,0.002694779,0.0016756561,0.0010032319],"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":[0.00003372546,0.000025518739,0.0004106771,0.000016754904,0.000007261979,0.00025997235,0.00047134748,0.00056836626,0.0033304668,0.9898571,0.00027353305,0.004745458],"study_design_scores_gemma":[0.000018375911,0.00010936376,0.00097010983,0.000019757672,0.000015522075,0.00043336002,0.00026818272,0.006567404,0.005579347,0.9789666,0.0070213396,0.00003077104],"about_ca_topic_score_codex":0.0011872228,"about_ca_topic_score_gemma":0.0010410204,"teacher_disagreement_score":0.004007902,"about_ca_system_score_codex":0.0011045145,"about_ca_system_score_gemma":0.0005407914,"threshold_uncertainty_score":0.013407767},"labels":[],"label_agreement":null},{"id":"W4386415280","doi":"10.1080/00927872.2023.2252078","title":"On the Hodge conjecture for complete intersections","year":2023,"lang":"en","type":"article","venue":"Communications in Algebra","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 Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjecture; Fano plane; Hodge conjecture; Variety (cybernetics); Generalization; Pure mathematics; Intersection (aeronautics); Homomorphism; Dimension (graph theory); Subject (documents); Class (philosophy); Complete intersection; Algebra over a field; Combinatorics; Cohomology; Hodge theory; Mathematical analysis; Artificial intelligence; Computer science","score_opus":0.15064472123948175,"score_gpt":0.36992843804973774,"score_spread":0.219283716810256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386415280","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8554145,0.0030308235,0.039563853,0.0032882653,0.00023989475,0.000022588883,0.00016865219,0.00017372475,0.09809769],"genre_scores_gemma":[0.99154526,0.00065064954,0.0023095661,0.00011947708,0.00018272523,0.000014681467,0.0001258989,0.000015061252,0.0050366316],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99938726,0.00014541452,0.000019611653,0.00010839888,0.00017901037,0.00016017978],"domain_scores_gemma":[0.99902606,0.00040898166,0.0001312521,0.00008800303,0.00013708927,0.00020865299],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001252761,0.0004955371,0.00068420783,0.0023027335,0.0022708662,0.003643135,0.00067788514,0.0012210365,0.005218145],"category_scores_gemma":[0.0033950908,0.00037992382,0.00050656305,0.0013894618,0.0055532814,0.0057118726,0.002993556,0.0016112837,0.00038563638],"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":[0.000024775944,0.0000117311965,0.0007252825,0.000028351173,0.000005298972,0.00014477524,0.00038109074,0.001152393,0.00024316636,0.99407935,0.0007361243,0.0024676342],"study_design_scores_gemma":[0.00001213773,0.00002511547,0.0012904907,0.000035420177,0.0000068801037,0.00025385452,0.000536741,0.0042575537,0.00030997957,0.9893637,0.003892536,0.000015618201],"about_ca_topic_score_codex":0.0015285143,"about_ca_topic_score_gemma":0.0010739118,"teacher_disagreement_score":0.005218145,"about_ca_system_score_codex":0.0011640593,"about_ca_system_score_gemma":0.00048004958,"threshold_uncertainty_score":0.017456472},"labels":[],"label_agreement":null},{"id":"W4391719643","doi":"10.1080/00927872.2024.2311232","title":"Characters in <i>p</i> -adic Heisenberg and lattice vertex operator algebras","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"advanced mathematical theories","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":"McMaster University","funders":"","keywords":"Mathematics; Vertex operator algebra; Operator algebra; Vertex (graph theory); Algebraic number; Lattice (music); Operator (biology); Pure mathematics; Character (mathematics); Nest algebra; Modular design; Combinatorics; Algebra over a field; Jordan algebra; Current algebra; Mathematical analysis; Physics; Geometry; Non-associative algebra; Graph","score_opus":0.06393255413849318,"score_gpt":0.37254393942543024,"score_spread":0.30861138528693705,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391719643","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9297668,0.00019314274,0.03186566,0.00032848073,0.0000812922,0.000023625906,0.00006780077,0.0001025165,0.037570804],"genre_scores_gemma":[0.9928645,0.00007842811,0.0033604556,0.00003666238,0.000047345387,0.000013993934,0.000034751058,0.00002184643,0.0035420074],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956685,0.00010256751,0.000024832609,0.00005987476,0.00010922806,0.000136675],"domain_scores_gemma":[0.99910754,0.00022682623,0.00020045409,0.00008696544,0.000119738164,0.00025850596],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045340112,0.00043243376,0.00034681277,0.0012963173,0.0013760724,0.0030578747,0.0007625994,0.0007833813,0.0028874003],"category_scores_gemma":[0.0020338101,0.0002960525,0.00045627676,0.0008010906,0.0028781209,0.0043139956,0.0013309664,0.00104874,0.0004477574],"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":[0.000055375895,0.00003478888,0.00054014067,0.000023136452,0.0000042124484,0.00024066331,0.000528207,0.001267964,0.0034245364,0.9912908,0.00027842505,0.002311667],"study_design_scores_gemma":[0.000022212002,0.000042326723,0.0004402536,0.000015979613,0.000005571269,0.00038655332,0.00032664585,0.016762057,0.0036539438,0.9771354,0.0011871615,0.000021827049],"about_ca_topic_score_codex":0.00037220918,"about_ca_topic_score_gemma":0.00025588615,"teacher_disagreement_score":0.0030578747,"about_ca_system_score_codex":0.0006644707,"about_ca_system_score_gemma":0.00042118668,"threshold_uncertainty_score":0.00965929},"labels":[],"label_agreement":null},{"id":"W4391805417","doi":"10.1080/00927872.2024.2314111","title":"Straight domains are locally divided","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","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; Prime (order theory); Ideal (ethics); Pure mathematics; Domain (mathematical analysis); Commutative ring; Ring (chemistry); Commutative property; Minimal ideal; Prime ideal; Algebra over a field; Discrete mathematics; Maximal ideal; Combinatorics; Epistemology; Mathematical analysis","score_opus":0.07088293102843155,"score_gpt":0.33805744903158763,"score_spread":0.26717451800315606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391805417","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42927623,0.0019980194,0.32077265,0.002316215,0.00042675843,0.00012484388,0.0006543251,0.00085903634,0.24357194],"genre_scores_gemma":[0.9553134,0.00067512674,0.020493846,0.0004517491,0.00022501036,0.00005420304,0.00043042365,0.000089723086,0.022266448],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994129,0.00010119864,0.00003011693,0.0001873856,0.00015396773,0.00011448361],"domain_scores_gemma":[0.9983956,0.0005027641,0.00022860146,0.00023331528,0.0004138741,0.00022585179],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006321393,0.00039078563,0.0003459685,0.0010306726,0.0010044699,0.0012558576,0.0005070468,0.00038211283,0.0134553695],"category_scores_gemma":[0.0020285076,0.0003927662,0.0005019837,0.0005719709,0.0033687153,0.005760091,0.0034589516,0.0019451188,0.002122856],"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":[0.00006956706,0.000022614193,0.0007251706,0.000084466206,0.000014246089,0.00024439077,0.00074802694,0.00052034744,0.003054706,0.9833592,0.0018785276,0.00927871],"study_design_scores_gemma":[0.00003639137,0.000074619136,0.0011848678,0.00003973316,0.00003670073,0.0007190988,0.0008313157,0.0028214478,0.005891171,0.95005095,0.038291365,0.00002244896],"about_ca_topic_score_codex":0.00051231554,"about_ca_topic_score_gemma":0.00047229292,"teacher_disagreement_score":0.0134553695,"about_ca_system_score_codex":0.0006016211,"about_ca_system_score_gemma":0.00033331054,"threshold_uncertainty_score":0.045012653},"labels":[],"label_agreement":null},{"id":"W4391922335","doi":"10.1080/00927872.2024.2311847","title":"On the isomorphism problem for certain <i>p</i> -groups","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Isomorphism (crystallography); Pure mathematics; Group isomorphism; Combinatorics; Algebra over a field; Automorphism group; Crystallography; Automorphism; Crystal structure","score_opus":0.15520372576841313,"score_gpt":0.3954869660275379,"score_spread":0.2402832402591248,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391922335","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6060938,0.00084302964,0.24325038,0.008073385,0.00025936178,0.000075303506,0.00014578669,0.0003805241,0.14087825],"genre_scores_gemma":[0.96089965,0.00048493422,0.026647346,0.00058035983,0.00023338203,0.00007204935,0.0002233487,0.00014411718,0.010714882],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985152,0.00054197764,0.000087352215,0.00029209827,0.00022308572,0.0003402654],"domain_scores_gemma":[0.9955193,0.002954861,0.00036518558,0.0005543179,0.00026439037,0.00034191366],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026389644,0.00046043206,0.0007285991,0.0012085554,0.0035469702,0.0029345178,0.001169459,0.0027617929,0.0072659487],"category_scores_gemma":[0.007027686,0.00043949235,0.001290131,0.0011034986,0.0062844385,0.011631788,0.004067755,0.003933512,0.0006141909],"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":[0.000028265493,0.000020510643,0.00038256214,0.000019478066,0.0000043306295,0.0001613104,0.0004610797,0.0010607878,0.00038874638,0.9943745,0.00057850755,0.0025198504],"study_design_scores_gemma":[0.000012079789,0.000012856415,0.00012805396,0.00001037849,0.000004729552,0.00014418874,0.00032686754,0.003377127,0.0006168788,0.99327046,0.0020879002,0.000008392912],"about_ca_topic_score_codex":0.00078235404,"about_ca_topic_score_gemma":0.00041349384,"teacher_disagreement_score":0.0072659487,"about_ca_system_score_codex":0.0013568436,"about_ca_system_score_gemma":0.00059294025,"threshold_uncertainty_score":0.024307013},"labels":[],"label_agreement":null},{"id":"W4392016937","doi":"10.1080/00927872.2024.2316311","title":"On Hopf algebras whose coradical is a cocentral abelian cleft extension","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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":"Saint Mary's University","funders":"Agencia Nacional de Promoción Científica y Tecnológica; Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Investigaciones Científicas y Técnicas","keywords":"Hopf algebra; Mathematics; Abelian group; Integer (computer science); Pure mathematics; Extension (predicate logic); Dimension (graph theory); Simple (philosophy); Representation theory of Hopf algebras; Algebra over a field; Quasitriangular Hopf algebra; Division algebra; Algebra representation","score_opus":0.06308153556393058,"score_gpt":0.35876876220367465,"score_spread":0.29568722663974406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392016937","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8590338,0.00090077874,0.060270283,0.0002969174,0.00010288604,0.00006764569,0.0001236697,0.00016403163,0.07903995],"genre_scores_gemma":[0.9841229,0.00034187615,0.007750605,0.000054929933,0.000079522135,0.000023332157,0.00011120729,0.00002599318,0.0074896635],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99959904,0.00007422935,0.000022020575,0.00006073151,0.00013537603,0.00010859072],"domain_scores_gemma":[0.9995834,0.00007776674,0.000083353516,0.00006699859,0.0000823528,0.000106040185],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005704736,0.0005157489,0.0004759668,0.0012943625,0.0013385817,0.0012200181,0.00051844824,0.00041885677,0.003810564],"category_scores_gemma":[0.0008199782,0.00017048887,0.0005286383,0.0008520704,0.0026984338,0.00299439,0.0011988168,0.0007841684,0.0005400736],"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":[0.000046961886,0.000020331947,0.0004198863,0.00004113238,0.000007017292,0.00050078495,0.00036825534,0.0018797892,0.004549782,0.98690015,0.00023783982,0.005027898],"study_design_scores_gemma":[0.000026472946,0.000069727364,0.00093374564,0.000028096849,0.000014048872,0.00068060553,0.0004036927,0.012730412,0.0051824893,0.97261995,0.007276171,0.00003464069],"about_ca_topic_score_codex":0.0014820196,"about_ca_topic_score_gemma":0.0013788377,"teacher_disagreement_score":0.003810564,"about_ca_system_score_codex":0.0012067851,"about_ca_system_score_gemma":0.0005254363,"threshold_uncertainty_score":0.012747586},"labels":[],"label_agreement":null},{"id":"W4393218975","doi":"10.1080/00927872.2024.2332387","title":"A variation of stable range one","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","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":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Variation (astronomy); Range (aeronautics); Composite material; Astrophysics; Physics; Materials science","score_opus":0.09117999508292605,"score_gpt":0.3331396963993903,"score_spread":0.24195970131646422,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393218975","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.090606414,0.012259601,0.4626214,0.0036547915,0.00282326,0.00013415811,0.00096166536,0.0010165796,0.42592213],"genre_scores_gemma":[0.8264605,0.0036920179,0.09900212,0.0014181716,0.0027446733,0.00019091785,0.00061539764,0.0006503267,0.06522588],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997869,0.0005025427,0.00011973683,0.0007251409,0.000551255,0.00023220757],"domain_scores_gemma":[0.99798954,0.0006490004,0.00016418293,0.0003935204,0.00048791175,0.00031581905],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015062031,0.0005531576,0.0008169576,0.0026963493,0.0016685971,0.0023221702,0.0011047734,0.00065549364,0.0066124727],"category_scores_gemma":[0.0032275165,0.00030180064,0.0009799373,0.0018791059,0.0040224856,0.0050291535,0.003997247,0.0025625804,0.0019768802],"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":[0.00004466947,0.000014356164,0.00033245698,0.00005649152,0.00001302671,0.00013607298,0.0003810595,0.00030124286,0.0013554262,0.98023546,0.0017614879,0.015368243],"study_design_scores_gemma":[0.000022664852,0.000113345675,0.00057952513,0.00005542274,0.000032060656,0.00065688003,0.00028426567,0.0033130557,0.0022114038,0.9113769,0.08129949,0.00005502197],"about_ca_topic_score_codex":0.00057028036,"about_ca_topic_score_gemma":0.0005550759,"teacher_disagreement_score":0.0066124727,"about_ca_system_score_codex":0.0010938721,"about_ca_system_score_gemma":0.0005504387,"threshold_uncertainty_score":0.022120953},"labels":[],"label_agreement":null},{"id":"W4393997442","doi":"10.1080/00927872.2024.2334895","title":"Proximal groups: Extension of topological groups. Application in the concise representation of Hilbert envelopes on oscillatory motion waveforms","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Scientific Research Methods","field":"Agricultural and Biological 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":"University of Manitoba","funders":"","keywords":"Mathematics; Extension (predicate logic); Representation (politics); Motion (physics); Pure mathematics; Topology (electrical circuits); Waveform; Algebra over a field; Combinatorics; Artificial intelligence; Computer science","score_opus":0.10970024554001838,"score_gpt":0.39060000807077716,"score_spread":0.28089976253075877,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393997442","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.027319962,0.0010659506,0.95789856,0.00065088493,0.00043569203,0.00007152002,0.0001409762,0.00020889268,0.012207459],"genre_scores_gemma":[0.58902454,0.0024725895,0.38171944,0.00084284146,0.0016549306,0.00030620978,0.00041878072,0.00030955853,0.023251085],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99918455,0.00032537867,0.00005565734,0.00017715621,0.00019496254,0.00006228757],"domain_scores_gemma":[0.9984988,0.0004667022,0.0002883229,0.0002339535,0.0002515615,0.0002607283],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001503001,0.00092572975,0.00048596095,0.0019549467,0.0006684567,0.0017099776,0.0007439914,0.0008655418,0.0039034605],"category_scores_gemma":[0.0038259882,0.0003100865,0.0009194166,0.0011731605,0.0029226078,0.0038105405,0.002932702,0.0021142904,0.0013186416],"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":[0.000031247015,0.000020767335,0.00014971916,0.00006306156,0.000010605703,0.00010183878,0.0003796078,0.0026928831,0.0024033918,0.9714598,0.0010286289,0.02165855],"study_design_scores_gemma":[0.0000127990925,0.000115865354,0.0001827617,0.00002312856,0.000008584035,0.00023445098,0.00013469282,0.020459773,0.0011451402,0.96212363,0.015534338,0.000024804995],"about_ca_topic_score_codex":0.00030338095,"about_ca_topic_score_gemma":0.00022951745,"teacher_disagreement_score":0.0039034605,"about_ca_system_score_codex":0.00051858317,"about_ca_system_score_gemma":0.0003289391,"threshold_uncertainty_score":0.013058364},"labels":[],"label_agreement":null},{"id":"W4396572108","doi":"10.1080/00927872.2024.2345275","title":"Whittaker vectors in singular Whittaker modules","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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":"Université Laval","funders":"Mitacs; Université Laval","keywords":"Mathematics; Subalgebra; Corollary; Dimension (graph theory); Pure mathematics; Bounded function; Simple (philosophy); Lie algebra; Algebra over a field; Space (punctuation); Mathematical analysis","score_opus":0.06579368941789554,"score_gpt":0.351390825840697,"score_spread":0.28559713642280143,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396572108","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94206727,0.0006191702,0.03136976,0.00023563215,0.000060087652,0.000017563869,0.00009203397,0.00012053956,0.025417967],"genre_scores_gemma":[0.9901174,0.00023061872,0.0043362738,0.000036378897,0.000065002925,0.0000119437245,0.00008163222,0.000015996711,0.005104788],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997092,0.0000647468,0.000021136599,0.000057826885,0.00007485854,0.000072233444],"domain_scores_gemma":[0.9993092,0.00013052451,0.00018156461,0.000051836643,0.0000871425,0.00023972016],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031535813,0.00050128944,0.0003265497,0.0016110812,0.00062463933,0.0017803989,0.00028999796,0.00041084737,0.0036529396],"category_scores_gemma":[0.00077240274,0.0002782866,0.00033951193,0.00081520865,0.0020991096,0.0028570136,0.0013026282,0.0006519209,0.00061722565],"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":[0.00006293216,0.0000328283,0.0010450532,0.000064778185,0.000010209069,0.00032868914,0.0006302736,0.0014973438,0.008478788,0.9814153,0.00040493702,0.006028937],"study_design_scores_gemma":[0.000017781995,0.000089496374,0.001573583,0.000017543982,0.0000090814965,0.00039915988,0.0002832563,0.007387234,0.005112907,0.9815083,0.0035779658,0.00002374416],"about_ca_topic_score_codex":0.00034732014,"about_ca_topic_score_gemma":0.00040894205,"teacher_disagreement_score":0.0036529396,"about_ca_system_score_codex":0.0005395272,"about_ca_system_score_gemma":0.00021660517,"threshold_uncertainty_score":0.0122202635},"labels":[],"label_agreement":null},{"id":"W4396654018","doi":"10.1080/00927872.2024.2346638","title":"Isotropy of quadratic forms over function fields in characteristic 2","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Isotropy; Isotropic quadratic form; Quadratic equation; Equivalence (formal languages); Quadratic function; Pure mathematics; Function (biology); Quadratic form (statistics); Binary quadratic form; Definite quadratic form; Quadratic field; Characterization (materials science); Function field; Mathematical analysis; Field (mathematics); Combinatorics; Geometry; Physics; Quantum mechanics","score_opus":0.04434433520845271,"score_gpt":0.3377230634343325,"score_spread":0.2933787282258798,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396654018","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8867111,0.00023787552,0.04864513,0.00056128454,0.00011204246,0.000038996328,0.00010209446,0.00010935403,0.0634821],"genre_scores_gemma":[0.99422425,0.00009940866,0.0019226724,0.000038583225,0.00009304354,0.000009890657,0.00005400061,0.000019021696,0.0035391646],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99908936,0.000115639676,0.00005245405,0.00017600907,0.0003093964,0.0002571808],"domain_scores_gemma":[0.9976851,0.00050256145,0.00054279075,0.0003367628,0.000450641,0.00048213496],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007321461,0.00039670183,0.00036548948,0.0022952547,0.0009797082,0.0018976723,0.00038516664,0.00028600616,0.00388216],"category_scores_gemma":[0.0024294504,0.00017580423,0.00047182673,0.0009039492,0.0032962866,0.0034438253,0.001902934,0.0011733655,0.00040569543],"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":[0.00006607753,0.000032664368,0.0026521878,0.000027795377,0.0000065016848,0.00033382347,0.0012033217,0.00053926825,0.005362318,0.980993,0.0004993727,0.008283627],"study_design_scores_gemma":[0.00002739243,0.00016156318,0.00525099,0.00001869561,0.000012508631,0.000578323,0.0005718102,0.0044911075,0.0043519367,0.97827494,0.0062324023,0.000028345095],"about_ca_topic_score_codex":0.00055884337,"about_ca_topic_score_gemma":0.00046919295,"teacher_disagreement_score":0.00388216,"about_ca_system_score_codex":0.0007853066,"about_ca_system_score_gemma":0.00038777266,"threshold_uncertainty_score":0.012987137},"labels":[],"label_agreement":null},{"id":"W4401521119","doi":"10.1080/00927872.2024.2377397","title":"The automorphism group of finite <i>p</i> -groups associated to the Macdonald group","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Automorphism; Prime (order theory); p-group; Group (periodic table); Outer automorphism group; Finite group; Automorphism group; Group of Lie type; Nilpotent group; Pure mathematics; Group theory; Nilpotent; Physics","score_opus":0.08531909453997197,"score_gpt":0.36617297306365526,"score_spread":0.28085387852368326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401521119","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9409142,0.00023236667,0.03526524,0.00023152123,0.0000696767,0.000036337377,0.00010625886,0.000118521,0.023025917],"genre_scores_gemma":[0.99168396,0.0001377941,0.0049390104,0.000031424992,0.000035226356,0.000019424957,0.00011394741,0.000028258186,0.0030109272],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997447,0.000053336993,0.000016048642,0.000047398797,0.000056329292,0.00008203817],"domain_scores_gemma":[0.9991572,0.00023204104,0.0002949203,0.0001187751,0.00008148033,0.00011566264],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036905883,0.00032436286,0.00022489618,0.0011250447,0.0006335618,0.0015433677,0.0004496301,0.00035914656,0.0023224785],"category_scores_gemma":[0.0017033776,0.00017552519,0.00054822495,0.00057130505,0.0026024464,0.0013177897,0.0009939437,0.0008601414,0.0004906377],"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":[0.0002497894,0.000043120588,0.0065996624,0.00008178348,0.000023360453,0.00067045505,0.0026278093,0.007301207,0.02710494,0.93059874,0.0010604974,0.02363848],"study_design_scores_gemma":[0.00003176202,0.00013877316,0.0045146337,0.000047320038,0.000027612381,0.00089375133,0.0008324655,0.024066007,0.024548905,0.932127,0.012709669,0.00006211886],"about_ca_topic_score_codex":0.0013455938,"about_ca_topic_score_gemma":0.00052643946,"teacher_disagreement_score":0.0023224785,"about_ca_system_score_codex":0.0008448782,"about_ca_system_score_gemma":0.0006539997,"threshold_uncertainty_score":0.007769406},"labels":[],"label_agreement":null},{"id":"W4401976673","doi":"10.1080/00927872.2024.2389981","title":"On generalized Star-GCD extensions","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","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":"Georgian College","funders":"","keywords":"Mathematics; Star (game theory); Pure mathematics; Algebra over a field; Combinatorics; Mathematical analysis","score_opus":0.09575038923649179,"score_gpt":0.359050173481421,"score_spread":0.26329978424492917,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401976673","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8283143,0.002593253,0.08493522,0.000907085,0.00029693212,0.00009331745,0.00035840872,0.00015673718,0.08234483],"genre_scores_gemma":[0.9668869,0.0010605383,0.01973032,0.000213585,0.00040671014,0.000042714633,0.0002524668,0.00004292809,0.011363797],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993481,0.00014211051,0.000045234065,0.00018251821,0.00014651267,0.0001355061],"domain_scores_gemma":[0.99912304,0.00019374506,0.00017248928,0.00014070311,0.00016173808,0.00020833797],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011716282,0.0004369096,0.0004749849,0.001272027,0.001151041,0.0015685495,0.00033861754,0.00037986008,0.0034702765],"category_scores_gemma":[0.0014545073,0.0002170743,0.00073988386,0.0011366123,0.0031882762,0.0039965427,0.0027058807,0.0009875237,0.0004949225],"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":[0.000111835296,0.000024990337,0.0010089949,0.00008173404,0.000012563354,0.00040395296,0.0005589568,0.0014817982,0.0030712269,0.982863,0.00072730985,0.009653617],"study_design_scores_gemma":[0.000039064074,0.00012973872,0.0015568447,0.000052971267,0.000017118826,0.00090570236,0.00034055774,0.0048005804,0.002755033,0.9728555,0.016516386,0.0000304886],"about_ca_topic_score_codex":0.0004105547,"about_ca_topic_score_gemma":0.00031151055,"teacher_disagreement_score":0.0034702765,"about_ca_system_score_codex":0.0007178799,"about_ca_system_score_gemma":0.00041427527,"threshold_uncertainty_score":0.011609197},"labels":[],"label_agreement":null},{"id":"W4402193170","doi":"10.1080/00927872.2024.2392010","title":"On fusible rings and related notions","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","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":"Memorial University of Newfoundland","funders":"","keywords":"Fusible alloy; Mathematics; Arithmetic; Algebra over a field; Pure mathematics; Composite material; Materials science","score_opus":0.057930791421416425,"score_gpt":0.33198236766467076,"score_spread":0.2740515762432543,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402193170","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22006522,0.037682116,0.346204,0.0051951697,0.001154125,0.00009992753,0.0005424069,0.00043691907,0.38862005],"genre_scores_gemma":[0.89604217,0.017302409,0.05509979,0.0012056114,0.0024497197,0.000105595056,0.00032298992,0.00007987283,0.027391795],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998572,0.00041736756,0.00008245587,0.00028008147,0.00044397204,0.00020402086],"domain_scores_gemma":[0.998221,0.0008044969,0.00024663992,0.0002574611,0.00029454145,0.00017588593],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020520212,0.00066656695,0.00049573556,0.0027593316,0.0013774807,0.0017984152,0.0007044946,0.0006242629,0.0048201536],"category_scores_gemma":[0.002739002,0.00021567389,0.0006344247,0.0029216574,0.0053007156,0.0072338525,0.0021950002,0.0014724097,0.00072047714],"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":[0.000014040218,0.0000062317413,0.00012854667,0.000046086578,0.0000031486588,0.000082180224,0.00036482702,0.0005013806,0.00039963593,0.9910013,0.0005572093,0.006895413],"study_design_scores_gemma":[0.0000033147278,0.000031756797,0.00028931652,0.000049648683,0.00000698465,0.00019044595,0.000253538,0.0014146933,0.00045875442,0.975129,0.022161402,0.000011160257],"about_ca_topic_score_codex":0.0007908729,"about_ca_topic_score_gemma":0.00042509363,"teacher_disagreement_score":0.0048201536,"about_ca_system_score_codex":0.0012781675,"about_ca_system_score_gemma":0.00046223748,"threshold_uncertainty_score":0.016125083},"labels":[],"label_agreement":null},{"id":"W4402814794","doi":"10.1080/00927872.2024.2400198","title":"On invariant submonoids","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","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":"Carleton University","funders":"","keywords":"Mathematics; Invariant (physics); Pure mathematics; Mathematical physics","score_opus":0.09712227397148826,"score_gpt":0.3875215244645451,"score_spread":0.2903992504930568,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402814794","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5643804,0.004249211,0.17760736,0.0011856353,0.0012838225,0.00020589944,0.0008564879,0.0011129514,0.24911818],"genre_scores_gemma":[0.9496192,0.00082663813,0.01919313,0.00038265265,0.0005775354,0.00008060865,0.00067655835,0.0001707014,0.028473021],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988483,0.00029207926,0.00008738086,0.00020547776,0.0003533354,0.00021339793],"domain_scores_gemma":[0.99913174,0.00018881349,0.00010075307,0.00020778143,0.00016242517,0.00020846461],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010681668,0.0006454527,0.00061180454,0.0017677643,0.0016781419,0.0021894607,0.00076888653,0.0004856692,0.0071081673],"category_scores_gemma":[0.0010575112,0.00028906798,0.0009375187,0.0007187627,0.0024776065,0.003129958,0.002690144,0.00087040267,0.0014536531],"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":[0.000021844127,0.000019110108,0.00028030298,0.000032547778,0.000006757438,0.00033908483,0.0007974964,0.00020219391,0.003356956,0.98984617,0.0008309128,0.0042666085],"study_design_scores_gemma":[0.000028478104,0.00009330427,0.0009936043,0.000034307344,0.000017631517,0.00063903065,0.0004847491,0.002624821,0.003756725,0.96233314,0.028970769,0.000023520812],"about_ca_topic_score_codex":0.0009132874,"about_ca_topic_score_gemma":0.00068027485,"teacher_disagreement_score":0.0071081673,"about_ca_system_score_codex":0.0011765565,"about_ca_system_score_gemma":0.00033904327,"threshold_uncertainty_score":0.023779213},"labels":[],"label_agreement":null},{"id":"W4403301538","doi":"10.1080/00927872.2024.2407993","title":"Cyclic wide subalgebras of semisimple Lie algebras","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","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":"Cartan subalgebra; Subalgebra; Indecomposable module; Mathematics; Semisimple Lie algebra; Pure mathematics; Lie algebra; Nilpotent; Cartan decomposition; Killing form; Lie conformal algebra; Real form; Algebra over a field; Affine Lie algebra; Adjoint representation of a Lie algebra; Current algebra","score_opus":0.08211393328928634,"score_gpt":0.3881111583812006,"score_spread":0.30599722509191424,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403301538","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87932014,0.0013396302,0.044274844,0.00041120616,0.000076018,0.000055264616,0.0001632061,0.00019558733,0.07416405],"genre_scores_gemma":[0.98597264,0.00027710307,0.005885641,0.00007539021,0.00009735455,0.000031225125,0.00014539383,0.0000127437615,0.007502475],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997327,0.000048139726,0.000015780472,0.000040151765,0.00011398264,0.000049382237],"domain_scores_gemma":[0.99955636,0.000069960704,0.00009491047,0.000046015222,0.00011158142,0.000121170626],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027282254,0.00023134779,0.00019868881,0.0007127315,0.0006789144,0.00069728977,0.00027647166,0.00019295339,0.0029578886],"category_scores_gemma":[0.00069352746,0.00017751157,0.00019306123,0.0003545239,0.0010893014,0.0011639977,0.0012243079,0.0005659134,0.00047063956],"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":[0.000035005967,0.000024042894,0.000844864,0.000054526205,0.000013507307,0.0003812448,0.0006109066,0.001279688,0.010608425,0.9756849,0.0007894071,0.00967342],"study_design_scores_gemma":[0.0000084058065,0.0000412619,0.001020482,0.000014996322,0.000006876813,0.0004000841,0.00038773558,0.005161635,0.0043759546,0.98019135,0.008377617,0.000013588395],"about_ca_topic_score_codex":0.00037981954,"about_ca_topic_score_gemma":0.00054451055,"teacher_disagreement_score":0.0029578886,"about_ca_system_score_codex":0.0003901333,"about_ca_system_score_gemma":0.00031031866,"threshold_uncertainty_score":0.009895086},"labels":[],"label_agreement":null},{"id":"W4406068032","doi":"10.1080/00927872.2024.2444612","title":"Superpolynomial identities of finite-dimensional simple algebras","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","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":"Memorial University of Newfoundland","funders":"Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Mathematics; Simple (philosophy); Pure mathematics; Algebra over a field; Epistemology","score_opus":0.06127700926154032,"score_gpt":0.37263548844068894,"score_spread":0.3113584791791486,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406068032","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85236436,0.0005056339,0.09083518,0.0002862698,0.00008261311,0.00005835725,0.00013685192,0.00010835669,0.05562235],"genre_scores_gemma":[0.98690945,0.00020927087,0.0076276264,0.000043251268,0.00006946105,0.00001616231,0.000100185825,0.000014790902,0.0050097955],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993579,0.00010988302,0.00004667281,0.000095601594,0.00024584046,0.00014402311],"domain_scores_gemma":[0.9992786,0.00013575611,0.00015824403,0.000095456264,0.00015921224,0.00017276722],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006452017,0.00031200275,0.00036296443,0.0010737635,0.0012322253,0.0017327995,0.0007017961,0.00032882774,0.0037534696],"category_scores_gemma":[0.0016375545,0.00018148712,0.00043689273,0.0008429848,0.0019775634,0.003375481,0.0012378319,0.00085322454,0.00063476764],"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":[0.00002197632,0.000028176766,0.0005542629,0.000028502518,0.0000052734817,0.00021513567,0.00042921994,0.00082855753,0.0040436857,0.9887201,0.00026268183,0.004862431],"study_design_scores_gemma":[0.000010044145,0.000040118688,0.0010176424,0.0000147317705,0.000008439679,0.00033843576,0.00030739873,0.007478789,0.004164602,0.98235196,0.004248923,0.000018865272],"about_ca_topic_score_codex":0.0006569029,"about_ca_topic_score_gemma":0.0005662342,"teacher_disagreement_score":0.0037534696,"about_ca_system_score_codex":0.0007770708,"about_ca_system_score_gemma":0.0004652698,"threshold_uncertainty_score":0.012556672},"labels":[],"label_agreement":null},{"id":"W4406572887","doi":"10.1080/00927872.2025.2450033","title":"A combinatorial Hopf algebra on partition diagrams","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Hopf algebra; Partition (number theory); Algebra over a field; Representation theory of Hopf algebras; Pure mathematics; Combinatorics; Filtered algebra; Division algebra","score_opus":0.06290383125150273,"score_gpt":0.3783038303128008,"score_spread":0.31539999906129806,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406572887","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2962998,0.0020517125,0.4347322,0.0012690736,0.0009700241,0.00020250563,0.0005540171,0.0007592481,0.26316154],"genre_scores_gemma":[0.9000604,0.000907498,0.054244593,0.00040772656,0.0006177225,0.00022233873,0.00046492397,0.0002009698,0.0428739],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993783,0.00013403864,0.000021361717,0.000102049155,0.00022111295,0.00014316905],"domain_scores_gemma":[0.9993781,0.00011897211,0.00006796835,0.00006428134,0.00015131572,0.00021936373],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063714356,0.0005046831,0.00048517567,0.0021927007,0.0013704553,0.0030197059,0.0007945642,0.00072904467,0.0070648887],"category_scores_gemma":[0.001223897,0.0003419924,0.0005330779,0.001614183,0.0025596896,0.003424562,0.0017355013,0.0012457257,0.0014929817],"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":[0.0000059360204,0.000007496923,0.00004754959,0.000009492875,0.0000014779616,0.00003777465,0.00007810499,0.00052330305,0.00080873363,0.99651945,0.0002535513,0.0017071977],"study_design_scores_gemma":[0.000010976869,0.000013365546,0.00012954226,0.000013377685,0.0000039170973,0.00008334854,0.000058485966,0.0056907865,0.00073973037,0.98691374,0.0063316855,0.000010969471],"about_ca_topic_score_codex":0.0016338729,"about_ca_topic_score_gemma":0.0014515981,"teacher_disagreement_score":0.0070648887,"about_ca_system_score_codex":0.0014799639,"about_ca_system_score_gemma":0.0009803739,"threshold_uncertainty_score":0.023634374},"labels":[],"label_agreement":null},{"id":"W4410232013","doi":"10.1080/00927872.2025.2498050","title":"Arithmetic invariant theory of reductive groups","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","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":"Western University","funders":"","keywords":"Mathematics; Invariant (physics); Invariant theory; Pure mathematics; Algebra over a field; Arithmetic; Discrete mathematics","score_opus":0.05533970256820236,"score_gpt":0.35842173722855364,"score_spread":0.3030820346603513,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410232013","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47866762,0.009824888,0.08516831,0.006878471,0.0008705972,0.000052037514,0.00046259913,0.00035394402,0.41772142],"genre_scores_gemma":[0.97364366,0.0012579178,0.004618323,0.00028916358,0.00088306854,0.000017327293,0.0001647276,0.000024436005,0.019101385],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99959093,0.000100822544,0.000014936124,0.0000760772,0.0001482824,0.000069093585],"domain_scores_gemma":[0.99968076,0.00009296612,0.00004746501,0.000049076538,0.00007510775,0.000054696226],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048043072,0.00034194463,0.00029846167,0.0011437127,0.000615339,0.0017993202,0.0005019772,0.0003147424,0.005236166],"category_scores_gemma":[0.00071070495,0.0001187121,0.0002501283,0.00057266635,0.0024382097,0.002558918,0.000945098,0.0010348413,0.000619288],"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":[0.000005069481,0.0000051047514,0.00006333423,0.000017889522,0.000002202871,0.00002197228,0.00014042524,0.0003036595,0.00040238036,0.9968618,0.0004280554,0.0017480883],"study_design_scores_gemma":[0.000008713419,0.000020283242,0.00028322806,0.00001076097,0.0000039896363,0.00007655742,0.00011047854,0.0016191844,0.0005310519,0.9846636,0.012666416,0.000005706259],"about_ca_topic_score_codex":0.00042543176,"about_ca_topic_score_gemma":0.0002092822,"teacher_disagreement_score":0.005236166,"about_ca_system_score_codex":0.0010269172,"about_ca_system_score_gemma":0.00034644877,"threshold_uncertainty_score":0.017516792},"labels":[],"label_agreement":null},{"id":"W4410333777","doi":"10.1080/00927872.2025.2499073","title":"Simplicity of the Lie superalgebra of vector fields","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","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":"Carleton University","funders":"Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Lie superalgebra; Mathematics; Simplicity; Supermatrix; Pure mathematics; Vector field; Algebra over a field; Adjoint representation; Superalgebra; Lie algebra; Geometry; Affine Lie algebra; Current algebra; Philosophy; Epistemology","score_opus":0.062151029895921694,"score_gpt":0.3738862959694152,"score_spread":0.3117352660734935,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410333777","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6680353,0.0011203606,0.101855345,0.0019340372,0.00031369014,0.00006986449,0.00032020157,0.0002878691,0.22606322],"genre_scores_gemma":[0.9766757,0.0003141774,0.00576836,0.00022165745,0.00017062642,0.000019963958,0.00013404911,0.000036224534,0.016659297],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995003,0.00011092267,0.000026355114,0.000081034595,0.00021320065,0.000068318965],"domain_scores_gemma":[0.9994091,0.00012667371,0.00007793223,0.00009998026,0.00018182276,0.000104553525],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000621365,0.0002783089,0.00042074366,0.00085222226,0.0011951381,0.0015114538,0.0005236399,0.00042082387,0.0043858746],"category_scores_gemma":[0.0009056178,0.0002334506,0.0005774728,0.00047797963,0.0019969293,0.0028001745,0.0015529734,0.0012864689,0.0012690411],"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":[0.000017119402,0.000012217953,0.00018393072,0.000029853236,0.00000920502,0.00014198474,0.00017768772,0.00035038922,0.0040392294,0.9920598,0.00064443925,0.0023341768],"study_design_scores_gemma":[0.000008542796,0.000029690762,0.0004210361,0.000005499026,0.0000057301027,0.00033373517,0.00007373631,0.0025541794,0.0022119673,0.98969984,0.0046461644,0.000009714827],"about_ca_topic_score_codex":0.00053941173,"about_ca_topic_score_gemma":0.00043912992,"teacher_disagreement_score":0.0043858746,"about_ca_system_score_codex":0.00044869827,"about_ca_system_score_gemma":0.00035687553,"threshold_uncertainty_score":0.014672279},"labels":[],"label_agreement":null},{"id":"W4411645635","doi":"10.1080/00927872.2025.2501209","title":"Local and 2-local automorphisms on the <i>N</i>  = 2 superconformal algebras","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","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":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; Foundation of Jiangxi Educational Commission; China Scholarship Council","keywords":"Mathematics; Automorphism; Pure mathematics; Algebra over a field","score_opus":0.03893394647464605,"score_gpt":0.3117520041178998,"score_spread":0.27281805764325373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411645635","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8792305,0.00030950073,0.059342396,0.00030019434,0.00014683502,0.00004829552,0.00008206292,0.00012988927,0.060410354],"genre_scores_gemma":[0.98561376,0.00017298767,0.004888694,0.000089690315,0.00013592001,0.000025694351,0.00006649118,0.000036115922,0.008970516],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996507,0.0000703004,0.000020672636,0.00007432089,0.000093721654,0.00009032451],"domain_scores_gemma":[0.9995803,0.000053075553,0.0001052549,0.000105183055,0.000066475164,0.000089662644],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042411697,0.0004289747,0.0003545746,0.00075300795,0.0009493536,0.000893836,0.00041398942,0.000479507,0.0038317721],"category_scores_gemma":[0.0006376642,0.00018760664,0.0009589983,0.00034864398,0.002213936,0.002419546,0.0011058827,0.0008692121,0.00064363534],"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":[0.00009026548,0.0000718257,0.0023520642,0.000064047985,0.00002107869,0.0008337432,0.0008331319,0.008255785,0.019565323,0.9515842,0.00087547273,0.015453087],"study_design_scores_gemma":[0.000023844144,0.00010850824,0.0034775643,0.00002358137,0.000015218309,0.0010259319,0.000488846,0.01776892,0.008739549,0.9635585,0.0047209095,0.000048527705],"about_ca_topic_score_codex":0.00061739335,"about_ca_topic_score_gemma":0.0006264294,"teacher_disagreement_score":0.0038317721,"about_ca_system_score_codex":0.00049144914,"about_ca_system_score_gemma":0.00036121262,"threshold_uncertainty_score":0.012818575},"labels":[],"label_agreement":null},{"id":"W4413127094","doi":"10.1080/00927872.2025.2539434","title":"Some properties of <i>c</i> <sup>#</sup> -ideals and <i>ϕ</i> -ideals in Leibniz algebras","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","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":"Université Laval","funders":"","keywords":"Mathematics; Pure mathematics; Ideal (ethics); Algebra over a field; Philosophy; Epistemology","score_opus":0.0646695445231533,"score_gpt":0.33990928656859143,"score_spread":0.2752397420454381,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413127094","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61716443,0.0031459744,0.2052262,0.0042179045,0.00024054806,0.00013070977,0.0003638848,0.0002068481,0.1693035],"genre_scores_gemma":[0.9721262,0.0010154891,0.019727895,0.00027370267,0.00026422777,0.000079433616,0.00019883068,0.000039723567,0.0062745395],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992167,0.00017590428,0.00008013761,0.00015680204,0.00020840339,0.00016199963],"domain_scores_gemma":[0.9966163,0.0013384622,0.00085413747,0.00025783337,0.00046935133,0.0004638695],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019281437,0.00043051218,0.0005084559,0.002023006,0.0021398633,0.0030379721,0.0009888224,0.0011313516,0.0049373596],"category_scores_gemma":[0.0042501567,0.00036067306,0.0008367395,0.0015237639,0.006224126,0.0070208586,0.0015484861,0.002110013,0.0007302876],"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":[0.000008469784,0.000009403798,0.00030630745,0.000027904336,0.0000029358296,0.00006419995,0.00032482547,0.00036287922,0.00091836957,0.9966556,0.00020768298,0.00111141],"study_design_scores_gemma":[0.000006220161,0.000027815695,0.000419963,0.000018809575,0.0000056883773,0.00018743688,0.00032655764,0.0031419902,0.0021218427,0.99143106,0.0022969681,0.000015739972],"about_ca_topic_score_codex":0.00077371334,"about_ca_topic_score_gemma":0.000654488,"teacher_disagreement_score":0.0049373596,"about_ca_system_score_codex":0.0014455816,"about_ca_system_score_gemma":0.00092548627,"threshold_uncertainty_score":0.016517103},"labels":[],"label_agreement":null},{"id":"W4413395728","doi":"10.1080/00927872.2025.2541931","title":"Existence and nonexistence of permutation trinomials in odd characteristics","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Innovation Cluster (Canada)","funders":"University Grants Commission of Bangladesh","keywords":"Trinomial; Mathematics; Permutation (music); Combinatorics; Pure mathematics; Physics","score_opus":0.026333597666429384,"score_gpt":0.3057598996862343,"score_spread":0.2794263020198049,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413395728","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.950852,0.00041199537,0.033568747,0.00060428376,0.000052986095,0.000024690764,0.00018058905,0.00007810878,0.0142266955],"genre_scores_gemma":[0.9937271,0.00017907086,0.00330913,0.00005044485,0.000050945233,0.000027596538,0.00013697967,0.000025628628,0.0024929661],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987056,0.00026273716,0.00007899264,0.00027548513,0.0002576996,0.00041945782],"domain_scores_gemma":[0.9902928,0.0057441676,0.0017102964,0.00075689604,0.0007271366,0.0007686787],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011078629,0.00024350271,0.0006738751,0.0013431701,0.0015952877,0.002053649,0.00083904166,0.000585208,0.0024697972],"category_scores_gemma":[0.011300853,0.0005958712,0.0005400754,0.0010368836,0.003163127,0.0030525487,0.001809509,0.0016530567,0.00033041154],"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":[0.0007060238,0.000099940946,0.018966116,0.00019583113,0.00003347044,0.0019899237,0.0013355332,0.0046122563,0.014207319,0.93798417,0.0022748841,0.01759459],"study_design_scores_gemma":[0.00015760143,0.00024268635,0.0066324812,0.00008388328,0.00004352148,0.0035567465,0.0007675473,0.035737965,0.013180563,0.9321909,0.007298378,0.00010783387],"about_ca_topic_score_codex":0.0010803456,"about_ca_topic_score_gemma":0.0007533227,"teacher_disagreement_score":0.0024697972,"about_ca_system_score_codex":0.0010346659,"about_ca_system_score_gemma":0.0011243691,"threshold_uncertainty_score":0.008262336},"labels":[],"label_agreement":null},{"id":"W4413395890","doi":"10.1080/00927872.2025.2541932","title":"Cohomology of left-symmetric color algebras","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","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":"Concordia University of Edmonton; University of Saskatchewan","funders":"University of Saskatchewan","keywords":"Mathematics; Pure mathematics; Cohomology; Equivariant cohomology; Algebra over a field","score_opus":0.0656037254810349,"score_gpt":0.38608471654380416,"score_spread":0.3204809910627693,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413395890","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7670346,0.0009902318,0.1604542,0.0012005081,0.00019879846,0.00004322208,0.00022085207,0.00039239816,0.06946521],"genre_scores_gemma":[0.98209757,0.00020233577,0.0086528445,0.00011288962,0.0001167939,0.00001787591,0.0001083826,0.00004039455,0.008650873],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996333,0.00006194504,0.000013467726,0.000056327957,0.0001458615,0.00008902001],"domain_scores_gemma":[0.99945444,0.000083826846,0.00007340208,0.00009011715,0.00015104843,0.00014711636],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034286221,0.00030045502,0.0003259289,0.0011823282,0.0007620408,0.0013197786,0.0008398636,0.00027532532,0.005514732],"category_scores_gemma":[0.0008014896,0.00014476034,0.0004316661,0.00055266777,0.0015686511,0.0033179529,0.0016518232,0.0010881552,0.00067121675],"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":[0.000017549068,0.000027562153,0.00076304015,0.00002831108,0.0000056315575,0.00011494531,0.0003482432,0.0013523177,0.004342285,0.98545873,0.00047125103,0.0070701647],"study_design_scores_gemma":[0.00001254363,0.000033694287,0.0013959855,0.000013398725,0.000007955762,0.00022643387,0.00017467709,0.018431311,0.004194874,0.97033507,0.0051512206,0.000022816641],"about_ca_topic_score_codex":0.0011677936,"about_ca_topic_score_gemma":0.00085261423,"teacher_disagreement_score":0.005514732,"about_ca_system_score_codex":0.0010827235,"about_ca_system_score_gemma":0.00047128243,"threshold_uncertainty_score":0.01844865},"labels":[],"label_agreement":null},{"id":"W4413905261","doi":"10.1080/00927872.2025.2548994","title":"Some properties of invariants for Cohen-Macaulay local rings","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Commutative Algebra and Its Applications","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":"Mathematics; Local ring; Pure mathematics; Algebra over a field; Ring (chemistry); Chemistry; Organic chemistry","score_opus":0.1036388471245363,"score_gpt":0.3727534800887938,"score_spread":0.26911463296425747,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413905261","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8984808,0.001632219,0.051608652,0.00047099876,0.00006139997,0.00006265978,0.00041609994,0.00037601462,0.046891283],"genre_scores_gemma":[0.99284655,0.00022550007,0.0043043233,0.00003641355,0.000103890954,0.000032295462,0.0002087867,0.00004066078,0.0022017064],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988569,0.00017247787,0.00010368513,0.00023657022,0.00034047468,0.00028986848],"domain_scores_gemma":[0.9948896,0.002138778,0.001249086,0.00046217197,0.00049578917,0.00076451123],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026076224,0.0003783054,0.0006513564,0.0031791332,0.0012365733,0.0035167783,0.00090067746,0.00043629194,0.004228559],"category_scores_gemma":[0.0054925606,0.00034584798,0.00074478943,0.0016420494,0.003836908,0.004523437,0.0015388487,0.0011636119,0.00046505567],"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":[0.00023492155,0.00008914491,0.0057138093,0.00014392851,0.000036521065,0.00047758518,0.0012574283,0.0025318074,0.0075705242,0.9662021,0.00072637014,0.015015964],"study_design_scores_gemma":[0.0001279927,0.0005100545,0.015145602,0.00008965221,0.00014233084,0.0014513393,0.0013083828,0.019955717,0.023073874,0.9268796,0.011185334,0.00013013482],"about_ca_topic_score_codex":0.00052287534,"about_ca_topic_score_gemma":0.00036145668,"teacher_disagreement_score":0.004228559,"about_ca_system_score_codex":0.0019792863,"about_ca_system_score_gemma":0.00062435924,"threshold_uncertainty_score":0.014360845},"labels":[],"label_agreement":null},{"id":"W4414044589","doi":"10.1080/00927872.2025.2552409","title":"Homological dimension and magnitude of complexes","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Commutative Algebra and Its Applications","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":"Artificial Intelligence in Medicine (Canada)","funders":"","keywords":"Dimension (graph theory); Magnitude (astronomy); Invariant (physics); Global dimension; Computation","score_opus":0.08148244041337387,"score_gpt":0.39567972479411867,"score_spread":0.3141972843807448,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414044589","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7885622,0.004513491,0.118698336,0.0025081825,0.0004959322,0.00004523531,0.00047264766,0.00026541605,0.08443853],"genre_scores_gemma":[0.98931175,0.0005279311,0.0056924517,0.00010322474,0.0003292404,0.000027531883,0.00013972221,0.000030376708,0.0038376828],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99880147,0.00021426925,0.000073344054,0.00034364505,0.00038451166,0.00018282696],"domain_scores_gemma":[0.99720854,0.001013133,0.00051321875,0.00027025415,0.00041142065,0.0005835057],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010883663,0.00041462787,0.00046576015,0.0036800052,0.0009392742,0.0025163216,0.00077726715,0.000418556,0.006010771],"category_scores_gemma":[0.004481738,0.00025220428,0.00038434812,0.0012861682,0.0032242262,0.005232248,0.0030411656,0.0013081913,0.00047039715],"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":[0.000044207285,0.000013256597,0.0019611965,0.0000654891,0.000014576321,0.00005398125,0.0003530371,0.00068234204,0.0027080441,0.98548,0.0006922134,0.007931673],"study_design_scores_gemma":[0.000012027704,0.000075338656,0.005318462,0.000031787542,0.000019126506,0.00043957663,0.00039755864,0.004188656,0.0038127326,0.97006345,0.015598806,0.00004256163],"about_ca_topic_score_codex":0.00025244677,"about_ca_topic_score_gemma":0.00013614105,"teacher_disagreement_score":0.006010771,"about_ca_system_score_codex":0.0009988148,"about_ca_system_score_gemma":0.00026795527,"threshold_uncertainty_score":0.020108044},"labels":[],"label_agreement":null},{"id":"W4414044654","doi":"10.1080/00927872.2025.2522901","title":"Affine Frobenius Brauer categories","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Affine transformation; Homomorphism; Conjecture; Brauer's theorem on induced characters; Frobenius group; Superalgebra; Algebra over a field","score_opus":0.04810139029173279,"score_gpt":0.35869434954218893,"score_spread":0.31059295925045616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414044654","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61354136,0.0007132488,0.22928938,0.0008426475,0.00025357114,0.00013667368,0.00044699738,0.00038904313,0.15438707],"genre_scores_gemma":[0.9410842,0.00036191064,0.030922674,0.0002068799,0.00019009803,0.00006540307,0.00029339528,0.00006626495,0.02680924],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999658,0.00004481999,0.00001819606,0.00006131708,0.00011821814,0.00009939919],"domain_scores_gemma":[0.999592,0.000052319327,0.00006425728,0.00007679911,0.00010783198,0.00010687025],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005013778,0.0003559123,0.0002686964,0.0015063372,0.0008125385,0.0010779487,0.00072696403,0.00038764183,0.006297886],"category_scores_gemma":[0.0007015955,0.00017902677,0.000483254,0.0005073294,0.0016149891,0.0032297324,0.001580414,0.0011095903,0.00076800166],"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":[0.000005605839,0.0000089738205,0.00031896573,0.000012298627,0.0000023196553,0.00005445195,0.0002091996,0.00045211255,0.0019015126,0.9928462,0.00025388488,0.003934414],"study_design_scores_gemma":[0.0000061105147,0.000036492966,0.0014481628,0.000019980997,0.000006725292,0.0003801969,0.00033640832,0.006253767,0.003829704,0.9732415,0.014418459,0.00002241033],"about_ca_topic_score_codex":0.0008716294,"about_ca_topic_score_gemma":0.0009015773,"teacher_disagreement_score":0.006297886,"about_ca_system_score_codex":0.0005503191,"about_ca_system_score_gemma":0.00034566093,"threshold_uncertainty_score":0.021068513},"labels":[],"label_agreement":null},{"id":"W4417156534","doi":"10.1080/00927872.2025.2592838","title":"Canonical bases of the oriented skein category","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Homotopy and Cohomology in 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":"University of Ottawa","funders":"University of Virginia","keywords":"Skein; Morphism; Diagrammatic reasoning; Algebra over a field; Involution (esoterism); Enriched category; Basis (linear algebra); Skein relation","score_opus":0.0434530477903018,"score_gpt":0.35675043926729666,"score_spread":0.31329739147699487,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417156534","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.51179993,0.0005195431,0.34102142,0.00074903935,0.0005378658,0.00008366651,0.00039676513,0.00057574187,0.14431597],"genre_scores_gemma":[0.9369989,0.0004130045,0.040034447,0.00015591057,0.0001853521,0.00007416584,0.00030533757,0.000102727776,0.021730265],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997199,0.0000394563,0.0000137130255,0.000051904804,0.00010761677,0.000067425055],"domain_scores_gemma":[0.99975246,0.00002492675,0.000026954505,0.000024047384,0.00009177095,0.000079890066],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035163917,0.0002906088,0.00027766012,0.001280279,0.0009947645,0.0015375635,0.000551071,0.00043585175,0.005491154],"category_scores_gemma":[0.00046347818,0.00020171954,0.00029716894,0.00052019116,0.001356821,0.0019754977,0.0013987782,0.0010668291,0.001049433],"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":[0.000008351412,0.0000107121405,0.00011647147,0.0000123976315,0.0000017794125,0.00004422462,0.00012382583,0.00029234414,0.001624904,0.99444515,0.00030916883,0.0030108425],"study_design_scores_gemma":[0.000012549299,0.000046225086,0.0005865125,0.000019058141,0.0000066574435,0.00016927278,0.00028863002,0.0054629287,0.0032534332,0.9784509,0.0116853425,0.00001850719],"about_ca_topic_score_codex":0.0004092915,"about_ca_topic_score_gemma":0.0005499248,"teacher_disagreement_score":0.005491154,"about_ca_system_score_codex":0.0003802037,"about_ca_system_score_gemma":0.00038123174,"threshold_uncertainty_score":0.018369794},"labels":[],"label_agreement":null},{"id":"W7117895818","doi":"10.1080/00927872.2025.2593565","title":"Structures of the BMSW <sub>3</sub> algebra","year":2025,"lang":"en","type":"article","venue":"Communications in Algebra","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":"Artificial Intelligence in Medicine (Canada)","funders":"","keywords":"Algebra over a field; Universal algebra; Cellular algebra; Matrix algebra; Algebra representation; Filtered algebra","score_opus":0.05401240739097222,"score_gpt":0.3804095606455705,"score_spread":0.3263971532545983,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7117895818","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73047566,0.0014326847,0.12198871,0.0015546435,0.00032699978,0.000085629996,0.0004763521,0.0003690634,0.14329034],"genre_scores_gemma":[0.9565962,0.0006730227,0.013930993,0.00032458585,0.00033868715,0.000050714487,0.00039943634,0.00013339793,0.027552888],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99972576,0.00003999083,0.000012065336,0.000044509008,0.00010890101,0.000068720154],"domain_scores_gemma":[0.99978346,0.000022389511,0.0000443784,0.00002718168,0.000059797563,0.00006282888],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029837605,0.00039834878,0.00036823982,0.0014130042,0.0011365467,0.001299891,0.00055828225,0.00052180537,0.0076683676],"category_scores_gemma":[0.0004455723,0.00016966504,0.0006608268,0.0009086131,0.0013337617,0.0026414003,0.0010231116,0.0008130807,0.0017322511],"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":[0.000018315874,0.000014010535,0.0003415997,0.000024532968,0.0000050251633,0.00012351874,0.00017378382,0.00045563612,0.0039444226,0.98788714,0.0006822218,0.0063297763],"study_design_scores_gemma":[0.00000851156,0.00002639615,0.0008849769,0.0000068892296,0.000004280893,0.00029648244,0.00009259238,0.0039703315,0.0023107543,0.9867357,0.0056476416,0.000015434889],"about_ca_topic_score_codex":0.0013268257,"about_ca_topic_score_gemma":0.00078747683,"teacher_disagreement_score":0.0076683676,"about_ca_system_score_codex":0.00064371014,"about_ca_system_score_gemma":0.00055737834,"threshold_uncertainty_score":0.025653303},"labels":[],"label_agreement":null}]}