{"meta":{"query_hash":"f1b0c15ec577","filters":{"venue":"Journal of Algebra and Its Applications"},"cohort_total":148,"direct_labels_cover":0,"predictions_cover":148,"exported":148,"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/f1b0c15ec577","api":"https://metacan.xera.ac/api/v1/cohort?venue=Journal+of+Algebra+and+Its+Applications"},"results":[{"id":"W1576953387","doi":"10.1142/s0219498816501954","title":"On representation theory of total (co)integrals","year":2016,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","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 Windsor","funders":"","keywords":"Hopf algebra; Mathematics; Pure mathematics; Polynomial; Algebra over a field; Representation (politics); Mathematical analysis","score_opus":0.04529292758406683,"score_gpt":0.3426247350265045,"score_spread":0.29733180744243765,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1576953387","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":[0.55916756,0.0034147468,0.26608396,0.001603873,0.00022040943,0.000044263328,0.00018401361,0.00021781314,0.16906336],"genre_scores_gemma":[0.97941256,0.00088110554,0.009932604,0.00016600762,0.00022576001,0.000022745226,0.000093157185,0.000051376963,0.00921469],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994467,0.00010959513,0.000027446824,0.00011111608,0.00019866247,0.00010658205],"domain_scores_gemma":[0.9993555,0.00020541667,0.00009319885,0.00010174267,0.00014534696,0.00009887605],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095250795,0.00041507356,0.00048118233,0.0020573118,0.0010174094,0.0024103434,0.0005928789,0.00073628884,0.0035967662],"category_scores_gemma":[0.001759307,0.00016942433,0.00051336136,0.0016730488,0.0031139986,0.0053477,0.001733797,0.0012989375,0.00039937772],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000002300013,0.0000030871702,0.00009752038,0.000009264704,0.0000017126446,0.000015526533,0.00011144317,0.00022585533,0.0002677345,0.9972817,0.00011920482,0.0018646772],"study_design_scores_gemma":[0.0000025050945,0.000007979942,0.00014633048,0.000010249135,0.00000382857,0.000092021684,0.00006737846,0.0031956092,0.00032008244,0.99380267,0.0023457697,0.000005551931],"about_ca_topic_score_codex":0.00042701917,"about_ca_topic_score_gemma":0.00025711037,"teacher_disagreement_score":0.0035967662,"about_ca_system_score_codex":0.000912712,"about_ca_system_score_gemma":0.00033074972,"threshold_uncertainty_score":0.01203233},"labels":[],"label_agreement":null},{"id":"W1773531050","doi":"10.1142/s0219498814500819","title":"Repeated root constacyclic codes of length mp<sup>s</sup> over 𝔽<sub>p<sup>r</sup></sub> + u𝔽<sub>p<sup>r</sup></sub> + ⋯ + u<sup>e-1</sup>𝔽<sub>p<sup>r</sup></sub>","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Combinatorics; Physics; Duality (order theory); Mathematics","score_opus":0.009540668583239924,"score_gpt":0.2276470803804855,"score_spread":0.21810641179724558,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1773531050","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":[0.7762646,0.001031467,0.12447413,0.00094790175,0.00031405417,0.00012380395,0.0005891122,0.00057692965,0.09567799],"genre_scores_gemma":[0.9523533,0.00036895552,0.025066458,0.0001943979,0.00014542452,0.000098243596,0.0003283164,0.00015805522,0.02128674],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995844,0.0000669371,0.000029482686,0.000091811016,0.00012391218,0.00010348286],"domain_scores_gemma":[0.99858487,0.00049221644,0.00033813235,0.00022596915,0.00024813952,0.000110835776],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003375275,0.00037888144,0.0004018237,0.0008788372,0.00083439075,0.0010741169,0.0006381545,0.0005666572,0.0059208195],"category_scores_gemma":[0.0022032629,0.00020269048,0.0003659633,0.00088917004,0.0012642094,0.001172139,0.0007821311,0.00092294044,0.0011079636],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00034447014,0.000076519835,0.001319392,0.00014345882,0.00002099897,0.0010543762,0.00067006197,0.008656511,0.023796905,0.9212722,0.0033177594,0.03932729],"study_design_scores_gemma":[0.00009537473,0.00042014217,0.0035443918,0.00015295792,0.00006133158,0.0022750988,0.00060640636,0.053462494,0.058104303,0.8526083,0.028547572,0.000121580575],"about_ca_topic_score_codex":0.0005438596,"about_ca_topic_score_gemma":0.0008175148,"teacher_disagreement_score":0.0059208195,"about_ca_system_score_codex":0.00080283644,"about_ca_system_score_gemma":0.0006777214,"threshold_uncertainty_score":0.01980716},"labels":[],"label_agreement":null},{"id":"W1845723101","doi":"10.1142/s0219498816501528","title":"Rings whose cyclics are C3-modules","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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","funders":"Natural Sciences and Engineering Research Council of Canada; Ohio State University","keywords":"Mathematics; Semisimple module; Artinian ring; Ring (chemistry); Noncommutative ring; Pure mathematics; Von Neumann regular ring; Injective module; Injective function; Algebra over a field; Noetherian","score_opus":0.05049355788265519,"score_gpt":0.3017446260897434,"score_spread":0.2512510682070882,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1845723101","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":[0.5252276,0.0049537187,0.07942115,0.0011804919,0.00045858475,0.00017067723,0.002115705,0.0012690963,0.3852029],"genre_scores_gemma":[0.9480698,0.0016300039,0.017065562,0.00051007135,0.00037167306,0.00006900478,0.0012222622,0.00010822556,0.030953353],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956673,0.00005194315,0.00002147618,0.00008742537,0.0001515274,0.000120926336],"domain_scores_gemma":[0.99931085,0.00011595501,0.00014278469,0.000092783295,0.00021179146,0.00012581697],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003526512,0.0003123239,0.0002034006,0.0007636437,0.00069726584,0.0011849361,0.00030128687,0.00027129686,0.011780735],"category_scores_gemma":[0.0008460705,0.0001659125,0.00041879207,0.00079890003,0.0014037064,0.0015145418,0.00098866,0.00059306226,0.0021490157],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011787632,0.000023754048,0.0008773586,0.00018900499,0.00002654263,0.00022404264,0.00050185755,0.000846512,0.01304591,0.938651,0.0055631874,0.039932974],"study_design_scores_gemma":[0.00006476576,0.00015711754,0.005580797,0.00005714239,0.00004714016,0.0012800437,0.00033238097,0.0031291388,0.022324655,0.80777603,0.15915895,0.00009181731],"about_ca_topic_score_codex":0.0009572356,"about_ca_topic_score_gemma":0.0007000954,"teacher_disagreement_score":0.011780735,"about_ca_system_score_codex":0.0006456981,"about_ca_system_score_gemma":0.000662187,"threshold_uncertainty_score":0.039410472},"labels":[],"label_agreement":null},{"id":"W1944303398","doi":"10.1142/s0219498816501115","title":"DC-projective dimensions, Foxby equivalence and SDC-projective modules","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Projective module; Projective test; Projective cover; Injective function; Flat module; Equivalence (formal languages); Injective module; Pure mathematics; Pencil (optics); Discrete mathematics; Algebra over a field; Projective space; Collineation; Physics","score_opus":0.05934000801200586,"score_gpt":0.32436996738323637,"score_spread":0.26502995937123053,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1944303398","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":[0.70922256,0.001806559,0.09072946,0.0013090888,0.0002724424,0.00006902029,0.0004273534,0.00015529018,0.19600824],"genre_scores_gemma":[0.9734029,0.00063076045,0.007740133,0.00012958018,0.00021382261,0.000026690039,0.00020047772,0.000023373139,0.017632201],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99960977,0.00007310162,0.000018620382,0.00010240381,0.00011526807,0.0000809893],"domain_scores_gemma":[0.9993082,0.00013772037,0.0001345637,0.00008368408,0.00017078212,0.00016497691],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005385592,0.0003241749,0.00033431363,0.0011608481,0.00083433464,0.0013738071,0.00027722417,0.0002577662,0.0068092407],"category_scores_gemma":[0.0009881873,0.0001388028,0.00033082446,0.0006952229,0.0019989402,0.003161481,0.0011779324,0.0009527394,0.00038644343],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010442547,0.000009158208,0.0007085816,0.000024235187,0.000004417589,0.000053834043,0.00013202034,0.00030559066,0.000868639,0.9933216,0.00041821788,0.004143217],"study_design_scores_gemma":[0.000016090085,0.000086073975,0.003999477,0.000019637126,0.000018128841,0.00062654616,0.00035553952,0.005255589,0.002919567,0.9640639,0.022615924,0.000023479332],"about_ca_topic_score_codex":0.00078603474,"about_ca_topic_score_gemma":0.0003966338,"teacher_disagreement_score":0.0068092407,"about_ca_system_score_codex":0.0007676705,"about_ca_system_score_gemma":0.00038268915,"threshold_uncertainty_score":0.022779167},"labels":[],"label_agreement":null},{"id":"W1965101337","doi":"10.1142/s0219498806001764","title":"ARTICULATIONS OF ALGEBRAS AND THEIR HOMOLOGICAL PROPERTIES","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","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":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Articulation (sociology); Simple (philosophy); Algebra over a field; Epistemology","score_opus":0.0276446598481326,"score_gpt":0.2512599007106141,"score_spread":0.2236152408624815,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965101337","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":[0.69014424,0.0014581113,0.22495262,0.0005334986,0.0002289467,0.00012653215,0.00023743726,0.00042369566,0.08189488],"genre_scores_gemma":[0.9802997,0.00025318025,0.014018574,0.0000899999,0.00009402236,0.000051965497,0.00016674343,0.00004528851,0.0049804426],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99828655,0.0003306676,0.00016563389,0.00032799263,0.00055828714,0.00033083855],"domain_scores_gemma":[0.99830186,0.0004165134,0.0003623583,0.0002740795,0.00023963752,0.0004054095],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010607808,0.00045992061,0.00058448437,0.0029248567,0.0024464664,0.0035413946,0.00072671607,0.0008615732,0.0053703547],"category_scores_gemma":[0.0034284503,0.000474654,0.0010179431,0.0015579351,0.0046129627,0.004725045,0.004205176,0.0014493646,0.0008934324],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024314284,0.000011976799,0.0004585042,0.000028944893,0.000009313568,0.00018206156,0.0006198319,0.00056893704,0.0019240183,0.9917747,0.00013570074,0.0042616855],"study_design_scores_gemma":[0.000019125402,0.000055497152,0.0007593215,0.000028398366,0.000018850109,0.00046974735,0.00051903643,0.0024173318,0.002308685,0.98796356,0.0054051275,0.000035285284],"about_ca_topic_score_codex":0.00062964065,"about_ca_topic_score_gemma":0.0004989252,"teacher_disagreement_score":0.0053703547,"about_ca_system_score_codex":0.0008196153,"about_ca_system_score_gemma":0.00044105342,"threshold_uncertainty_score":0.017965615},"labels":[],"label_agreement":null},{"id":"W1965900383","doi":"10.1142/s0219498809003631","title":"FINITELY GENERATED LIMIT VARIETIES OF APERIODIC MONOIDS WITH CENTRAL IDEMPOTENTS","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"semigroups and automata theory","field":"Computer Science","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Aperiodic graph; Mathematics; Variety (cybernetics); Limit (mathematics); Finitely-generated abelian group; Pure mathematics; Monoid; Combinatorics; Mathematical analysis","score_opus":0.008782462088680417,"score_gpt":0.21014792739494234,"score_spread":0.20136546530626193,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965900383","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":[0.819174,0.0040462655,0.12894437,0.0007873648,0.00032410712,0.00009193984,0.00031647208,0.0002445811,0.04607093],"genre_scores_gemma":[0.968501,0.00063343585,0.024084372,0.000077543256,0.00012673561,0.00008194638,0.00019643016,0.00002764289,0.006270884],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990559,0.0001853897,0.000101118705,0.00023547199,0.0002840746,0.00013802084],"domain_scores_gemma":[0.99831223,0.00066191657,0.00022704071,0.00018236433,0.00031955185,0.00029691888],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013893084,0.00042663876,0.0006076819,0.0023772223,0.0020291563,0.003869275,0.0008154969,0.00064114627,0.0017906893],"category_scores_gemma":[0.0024542895,0.00043220588,0.0008449088,0.0012495511,0.004146171,0.005338904,0.0022157128,0.001330567,0.00029388038],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007842784,0.000028061226,0.0014991215,0.000073475596,0.000022930291,0.0005928566,0.0013468933,0.00044782952,0.0033725265,0.98657864,0.00030454437,0.005654629],"study_design_scores_gemma":[0.000054484255,0.00008155315,0.0022176155,0.000060942068,0.000049836613,0.0016650661,0.00123921,0.0027177257,0.007822658,0.9688854,0.015147093,0.000058436577],"about_ca_topic_score_codex":0.0002565951,"about_ca_topic_score_gemma":0.00025862877,"teacher_disagreement_score":0.003869275,"about_ca_system_score_codex":0.000946625,"about_ca_system_score_gemma":0.00040190492,"threshold_uncertainty_score":0.0073474646},"labels":[],"label_agreement":null},{"id":"W1966656748","doi":"10.1142/s0219498811005439","title":"ON SOME EMBEDDING OF LIE ALGEBRAS","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Division of Mathematical Sciences; Memorial University of Newfoundland","keywords":"Mathematics; Algebra over a field; Lie algebra; Simple (philosophy); Embedding; Pure mathematics; Lie conformal algebra; Adjoint representation of a Lie algebra; Field (mathematics); Affine Lie algebra; Current algebra; Computer science; Artificial intelligence","score_opus":0.05839637710906627,"score_gpt":0.3314840308754489,"score_spread":0.27308765376638267,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1966656748","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":[0.6297292,0.0011569475,0.23867023,0.0012846552,0.00021111184,0.00006517755,0.00011049645,0.00047988107,0.12829234],"genre_scores_gemma":[0.9604477,0.00041420566,0.024618234,0.00015352329,0.00007708145,0.000025905078,0.00008293571,0.00006565305,0.014114798],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956876,0.00011692528,0.000016210315,0.00008880551,0.00012769797,0.00008158504],"domain_scores_gemma":[0.9994549,0.00015692486,0.00006978476,0.0000794128,0.00012825947,0.00011056099],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005014519,0.00045309585,0.00025693708,0.0005832095,0.00089231454,0.0010865129,0.0003900245,0.0005285887,0.004096794],"category_scores_gemma":[0.0015602665,0.00023361671,0.00035311864,0.00027145856,0.0023623102,0.003945849,0.0021519945,0.0016407555,0.0007110223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011649714,0.00001501129,0.00017417064,0.000018363684,0.000002955309,0.00015743966,0.0006318727,0.0005583729,0.0021211223,0.9933443,0.00015271615,0.0028119264],"study_design_scores_gemma":[0.000011690479,0.00007493457,0.00042512862,0.00003287286,0.000008959719,0.00028285704,0.00048948615,0.007151337,0.0031615784,0.9767247,0.011621805,0.000014649463],"about_ca_topic_score_codex":0.0005788976,"about_ca_topic_score_gemma":0.00046912293,"teacher_disagreement_score":0.004096794,"about_ca_system_score_codex":0.00050531904,"about_ca_system_score_gemma":0.00028800365,"threshold_uncertainty_score":0.013705194},"labels":[],"label_agreement":null},{"id":"W1966956187","doi":"10.1142/s0219498809003229","title":"J-COHERENT RINGS","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Brock University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Finitely-generated abelian group; Ring (chemistry); Injective function; Pure mathematics; Coherent states; Discrete mathematics; Physics; Quantum; Quantum mechanics","score_opus":0.02810831466656817,"score_gpt":0.29271475431625804,"score_spread":0.2646064396496899,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1966956187","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":[0.52373004,0.01001708,0.19691561,0.003772703,0.0011149605,0.0002150143,0.0010861887,0.00073261576,0.26241574],"genre_scores_gemma":[0.9342741,0.002571869,0.041744534,0.0008555129,0.0008469627,0.000099466306,0.0005472114,0.000061194856,0.018999118],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989122,0.00020537569,0.000100783596,0.00025863864,0.00030072246,0.00022237243],"domain_scores_gemma":[0.99783033,0.0005398377,0.0003737938,0.00023877263,0.0006345441,0.00038276045],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001549517,0.00028748103,0.0003395304,0.0010047685,0.0011118562,0.0023268922,0.0004190902,0.00043602253,0.0062680664],"category_scores_gemma":[0.0020976777,0.0003109044,0.0005153042,0.00050103024,0.0022184828,0.0048949635,0.0019135526,0.00093509804,0.001087737],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025347295,0.000026628977,0.0006344435,0.00008551059,0.000012787912,0.0001922255,0.00038362603,0.00021862044,0.0030257213,0.9868047,0.0013332258,0.007257155],"study_design_scores_gemma":[0.000046040313,0.00014971006,0.002451265,0.00006337581,0.00003848467,0.0014912263,0.0006851827,0.00250159,0.0059810113,0.9302814,0.056255743,0.000054942106],"about_ca_topic_score_codex":0.00017470501,"about_ca_topic_score_gemma":0.00016777907,"teacher_disagreement_score":0.0062680664,"about_ca_system_score_codex":0.00052100397,"about_ca_system_score_gemma":0.0005105048,"threshold_uncertainty_score":0.020968735},"labels":[],"label_agreement":null},{"id":"W1977183747","doi":"10.1142/s0219498808002825","title":"ON THE GRASSMANN T-SPACE","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Western University","funders":"","keywords":"Mathematics; Commutator; Exterior algebra; Vector space; Combinatorics; Space (punctuation); Ideal (ethics); Zero (linguistics); Degree (music); Field (mathematics); Basis (linear algebra); Algebra over a field; Pure mathematics; Geometry; Physics","score_opus":0.051476942724956516,"score_gpt":0.3108389093311464,"score_spread":0.2593619666061899,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977183747","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":[0.81303906,0.0019830011,0.115938075,0.0008832624,0.0002808113,0.000089892266,0.00021991381,0.00018645679,0.0673796],"genre_scores_gemma":[0.9730436,0.00090451655,0.016092116,0.00014485231,0.00016154819,0.000043960805,0.00014123067,0.000045788925,0.009422327],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995747,0.00009729671,0.000018436283,0.00007605043,0.00011800307,0.00011550733],"domain_scores_gemma":[0.99968743,0.000043423872,0.00007331194,0.00002663892,0.000059153303,0.00011008353],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058786647,0.0007082553,0.00043668182,0.0013734382,0.0015205395,0.0016026167,0.00062402344,0.0004848186,0.0040323054],"category_scores_gemma":[0.0006953057,0.00019990708,0.00061959267,0.0011435029,0.0034684087,0.002439848,0.0014916657,0.0010849992,0.0009534705],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021173355,0.000016763952,0.00026626966,0.00002949264,0.000007177101,0.0001523383,0.00035235277,0.0017110134,0.0015047122,0.992482,0.00040008844,0.0030565565],"study_design_scores_gemma":[0.000014634397,0.00008511478,0.00051688944,0.000022933094,0.0000083036075,0.00020692726,0.0002600516,0.0130973775,0.0014896311,0.9797381,0.0045404113,0.000019637524],"about_ca_topic_score_codex":0.0016933292,"about_ca_topic_score_gemma":0.000986377,"teacher_disagreement_score":0.0040323054,"about_ca_system_score_codex":0.0008667182,"about_ca_system_score_gemma":0.00078693073,"threshold_uncertainty_score":0.013489425},"labels":[],"label_agreement":null},{"id":"W1981502692","doi":"10.1142/s0219498807002454","title":"QUASI-MORPHIC RINGS","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Principal ideal; Principal ideal ring; Ideal (ethics); Ring (chemistry); Primitive ring; Principal (computer security); Class (philosophy); Combinatorics; Element (criminal law); Artinian ring; Discrete mathematics; Pure mathematics; Algebra over a field; Commutative ring; Prime (order theory); Law","score_opus":0.030400160704505443,"score_gpt":0.2974222005631799,"score_spread":0.26702203985867445,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981502692","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":[0.68102545,0.005421936,0.12937053,0.001973101,0.0005786088,0.00012164324,0.0007123086,0.0005509331,0.18024549],"genre_scores_gemma":[0.96885633,0.0008359166,0.0185032,0.0002203247,0.00031220703,0.00003272911,0.00016688001,0.000025098205,0.011047383],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993691,0.00013010704,0.000059527825,0.00016538851,0.00016142068,0.00011449758],"domain_scores_gemma":[0.99914455,0.00020542445,0.00017640546,0.00015664515,0.00015404241,0.0001629638],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00097404525,0.00022134527,0.00020382072,0.0007237787,0.0008154767,0.0014466564,0.00025338313,0.0002505085,0.00327426],"category_scores_gemma":[0.001073516,0.0001856154,0.00030144723,0.0003069847,0.0022287152,0.0024278343,0.0010709893,0.00051393936,0.00044618113],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052378684,0.0000112589505,0.0009988548,0.000057139507,0.0000073651554,0.00011641162,0.00035958356,0.00030729722,0.004761776,0.98116255,0.00098966,0.011175771],"study_design_scores_gemma":[0.000040993244,0.0002230747,0.007926578,0.00006808516,0.000052659165,0.0022799422,0.0010877389,0.004973112,0.018232724,0.7966403,0.16842502,0.000049747126],"about_ca_topic_score_codex":0.0002802719,"about_ca_topic_score_gemma":0.0003120081,"teacher_disagreement_score":0.00327426,"about_ca_system_score_codex":0.00054916553,"about_ca_system_score_gemma":0.00030875226,"threshold_uncertainty_score":0.010953486},"labels":[],"label_agreement":null},{"id":"W1982645536","doi":"10.1142/s0219498812502167","title":"TABLE ALGEBRAS OF RANK 3 AND ITS APPLICATIONS TO STRONGLY REGULAR GRAPHS","year":2012,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Carleton University","funders":"","keywords":"Mathematics; Rank (graph theory); Table (database); Graph algebra; Combinatorics; Graph; Algebra over a field; Dual (grammatical number); Algebraic number; Discrete mathematics; Pure mathematics; Line graph; Voltage graph","score_opus":0.04544841798488593,"score_gpt":0.33005499529413224,"score_spread":0.2846065773092463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982645536","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":[0.8243789,0.0022136304,0.111104116,0.0016603788,0.0001311871,0.000046096877,0.00015245163,0.00018725332,0.060125995],"genre_scores_gemma":[0.98881,0.00035127485,0.00786256,0.0000692835,0.000091889866,0.000012756276,0.000036599613,0.000013454669,0.0027521034],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994848,0.0001425948,0.000026897274,0.000100093064,0.00014144114,0.00010413432],"domain_scores_gemma":[0.9985116,0.00058583217,0.00027830544,0.00011351406,0.00016833088,0.00034245834],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007577925,0.00024303465,0.00036981623,0.0012697163,0.00094371184,0.0014415536,0.00041779186,0.00049451296,0.0024346705],"category_scores_gemma":[0.0026267348,0.00024136163,0.0005319227,0.0006450222,0.002864974,0.0020897605,0.0014029004,0.0010642477,0.00019909046],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024322695,0.000015010566,0.0004075253,0.000023605862,0.0000031110906,0.00009736253,0.0002563503,0.0018090571,0.0014193901,0.99349725,0.0001479722,0.002299084],"study_design_scores_gemma":[0.000010950306,0.000033998134,0.00037213558,0.000014937021,0.0000061725314,0.00025307387,0.0002214603,0.011268333,0.0016393324,0.98349506,0.0026648913,0.00001961396],"about_ca_topic_score_codex":0.0008154856,"about_ca_topic_score_gemma":0.00078299246,"teacher_disagreement_score":0.0024346705,"about_ca_system_score_codex":0.0010904196,"about_ca_system_score_gemma":0.0005951719,"threshold_uncertainty_score":0.008144796},"labels":[],"label_agreement":null},{"id":"W1982947447","doi":"10.1142/s0219498808003004","title":"REGULAR LOCAL ALGEBRAS OVER VALUATION DOMAINS: WEAK DIMENSION AND REGULAR SEQUENCES","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Commutative Algebra and Its Applications","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":"University of Saskatchewan","keywords":"Mathematics; Regular local ring; Local ring; Noetherian; Maximal ideal; Ideal (ethics); Finitely-generated abelian group; Noetherian ring; Combinatorics; Dimension (graph theory); Global dimension; Regular ring; Discrete mathematics; Pure mathematics; Ring (chemistry); Algebra over a field; Von Neumann regular ring","score_opus":0.03820206252546471,"score_gpt":0.3041165624349927,"score_spread":0.265914499909528,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982947447","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":[0.9335993,0.0014470952,0.051667035,0.00039448033,0.000041634998,0.000017830154,0.000102784674,0.00006956185,0.012660366],"genre_scores_gemma":[0.9930813,0.00024248267,0.0051511107,0.000022367743,0.000050527535,0.000008968502,0.000059349422,0.000006273814,0.0013776125],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994516,0.00012985386,0.000034885226,0.00014432702,0.00013764006,0.00010175351],"domain_scores_gemma":[0.99791294,0.00074482383,0.00043227017,0.0002177807,0.00022693974,0.00046515698],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011304057,0.0002684493,0.00042637935,0.001704651,0.0007148222,0.0016033533,0.0004213427,0.00030506434,0.0014784442],"category_scores_gemma":[0.0022617918,0.00026051333,0.0003701644,0.0007840998,0.0036480504,0.0031743166,0.0018429084,0.00083816116,0.00015374055],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018735684,0.000034304987,0.004688978,0.000103281556,0.000031871703,0.00029276602,0.0010011198,0.0027763334,0.006035775,0.97573847,0.00031700326,0.008792682],"study_design_scores_gemma":[0.000047741803,0.00020948258,0.0052949735,0.000040235307,0.00004281613,0.0008796169,0.0007182391,0.019391727,0.007899967,0.9604442,0.004979348,0.00005154711],"about_ca_topic_score_codex":0.00028495718,"about_ca_topic_score_gemma":0.00020326392,"teacher_disagreement_score":0.001704651,"about_ca_system_score_codex":0.0006848625,"about_ca_system_score_gemma":0.00027417066,"threshold_uncertainty_score":0.0059782267},"labels":[],"label_agreement":null},{"id":"W1991633941","doi":"10.1142/s0219498811005051","title":"POWER MAP PERMUTATIONS AND SYMMETRIC DIFFERENCES IN FINITE GROUPS","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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 British Columbia","funders":"","keywords":"Power (physics); Mathematics; Combinatorics; Symmetric group; Physics; Thermodynamics","score_opus":0.07520564872749458,"score_gpt":0.3073405253377411,"score_spread":0.2321348766102465,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991633941","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":[0.70371705,0.0030609216,0.15272838,0.001951438,0.0006850315,0.000087028806,0.00018677511,0.00029761763,0.13728566],"genre_scores_gemma":[0.9720161,0.00082995126,0.014349328,0.00018586054,0.0002906889,0.000035628706,0.000086368746,0.000030462586,0.012175561],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997532,0.00006262664,0.000011737496,0.000042089785,0.00008571295,0.000044789304],"domain_scores_gemma":[0.9996605,0.00014783154,0.00005392336,0.000042378528,0.00003430782,0.00006110247],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004884073,0.0003839206,0.00037461793,0.00097416766,0.0007083292,0.0014145627,0.000492253,0.0004842962,0.0035794098],"category_scores_gemma":[0.0013436717,0.0001746224,0.00034411837,0.00071462843,0.002864311,0.0022131326,0.001072268,0.00082970463,0.00070095627],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000194668,0.000007854849,0.00011938094,0.000013480221,0.0000015834526,0.00005401883,0.00010648982,0.000627677,0.0007654441,0.99264365,0.0003107899,0.0053301607],"study_design_scores_gemma":[0.000010443602,0.000024534147,0.00016053217,0.0000068317095,0.0000027335554,0.00014618949,0.000050934686,0.0028514639,0.0009994708,0.9915091,0.0042307097,0.0000070675796],"about_ca_topic_score_codex":0.00036575526,"about_ca_topic_score_gemma":0.00036028097,"teacher_disagreement_score":0.0035794098,"about_ca_system_score_codex":0.0009600734,"about_ca_system_score_gemma":0.0005674606,"threshold_uncertainty_score":0.011974335},"labels":[],"label_agreement":null},{"id":"W1994555391","doi":"10.1142/s0219498813500229","title":"SEMIPRIME LEFT QUASI-MORPHIC RINGS","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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 Calgary","funders":"","keywords":"Mathematics; Annihilator; Semiprime ring; Semiprime; Primitive ring; Ideal (ethics); Characterization (materials science); Pure mathematics; Ring (chemistry); Principal ideal ring; Discrete mathematics; Combinatorics; Commutative ring; Algebra over a field; Commutative property; Physics","score_opus":0.023186652521999352,"score_gpt":0.2703648653574915,"score_spread":0.24717821283549213,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994555391","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":[0.77099603,0.0019079448,0.14482144,0.0008843562,0.00038697515,0.000059675072,0.000496013,0.00042732898,0.08002023],"genre_scores_gemma":[0.9759335,0.0003214558,0.016809905,0.00012887802,0.00023041143,0.000024640443,0.00012165288,0.000029788023,0.0063997293],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993548,0.00013615533,0.000056365996,0.00016995639,0.00017488944,0.00010790801],"domain_scores_gemma":[0.9987067,0.00032149232,0.00029901692,0.00023237236,0.00022165154,0.00021868724],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00096944993,0.00023664586,0.0002662186,0.00071863114,0.00070766464,0.0013685315,0.0002880756,0.0002657259,0.002999719],"category_scores_gemma":[0.0012371953,0.00020547226,0.0003416427,0.0003090111,0.0022850274,0.0025479756,0.0014562953,0.0007052144,0.00040885824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012596577,0.000020471538,0.0016280899,0.000085246604,0.000012877642,0.00025950305,0.00052959175,0.00053566607,0.010994446,0.97213215,0.00077376544,0.012902173],"study_design_scores_gemma":[0.000044463457,0.00024860748,0.011013128,0.000066081695,0.00005463391,0.0029093684,0.0006282822,0.007901525,0.026934782,0.88816035,0.06196786,0.000070866576],"about_ca_topic_score_codex":0.00018061604,"about_ca_topic_score_gemma":0.00020125405,"teacher_disagreement_score":0.002999719,"about_ca_system_score_codex":0.0003910838,"about_ca_system_score_gemma":0.00022000371,"threshold_uncertainty_score":0.010035098},"labels":[],"label_agreement":null},{"id":"W1994949996","doi":"10.1142/s021949881100446x","title":"SUBSTRUCTURES OF HOM","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":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":"Mathematics; Ideal (ethics); Maximal ideal; Jacobson radical; Ring (chemistry); Pure mathematics; Combinatorics; Discrete mathematics; Algebra over a field; Epistemology; Philosophy","score_opus":0.04394623782013236,"score_gpt":0.27722587837845286,"score_spread":0.2332796405583205,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994949996","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":[0.8321775,0.0017422471,0.07493201,0.0005325465,0.00040106854,0.000090787566,0.0006451099,0.0008653453,0.088613294],"genre_scores_gemma":[0.9642994,0.00041941172,0.016843062,0.00022865496,0.00021754975,0.00006784834,0.00079251407,0.000106305226,0.017025188],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992113,0.00008050301,0.000082310995,0.00029781926,0.00018461217,0.00014340528],"domain_scores_gemma":[0.998757,0.00030132447,0.00022810027,0.0002783805,0.00020017748,0.00023504352],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007337204,0.00042200251,0.00049783214,0.0019684013,0.0014547374,0.0021738943,0.0007881919,0.00054436264,0.009149322],"category_scores_gemma":[0.0013793665,0.00043169138,0.0006678059,0.0008503967,0.0024966053,0.0040497617,0.0035017342,0.0013650891,0.0013549752],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017149598,0.000080202284,0.0059423777,0.00017728204,0.00007224889,0.0013457659,0.0023317859,0.0003421486,0.011104057,0.9470711,0.0014700661,0.029891603],"study_design_scores_gemma":[0.000037413924,0.00020514448,0.009637443,0.000072479204,0.00006516851,0.0025420974,0.0014791603,0.0018598274,0.013743333,0.9423279,0.027980512,0.00004954309],"about_ca_topic_score_codex":0.000327549,"about_ca_topic_score_gemma":0.00039625022,"teacher_disagreement_score":0.009149322,"about_ca_system_score_codex":0.00060651894,"about_ca_system_score_gemma":0.00026959248,"threshold_uncertainty_score":0.030607522},"labels":[],"label_agreement":null},{"id":"W1996156042","doi":"10.1142/s0219498811005221","title":"ON STRONGLY *-CLEAN RINGS","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":27,"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":"Idempotence; Ring (chemistry); Unit (ring theory); Mathematics; Projection (relational algebra); Element (criminal law); Pure mathematics; Von Neumann regular ring; Von Neumann architecture; Primitive ring; Principal ideal ring; Chemistry; Law; Commutative ring; Political science; Algorithm","score_opus":0.04421556471589603,"score_gpt":0.27735366448550175,"score_spread":0.23313809976960573,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996156042","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":[0.2965544,0.013340527,0.48544416,0.0047775987,0.0010944466,0.00017298305,0.000973759,0.00050760724,0.19713461],"genre_scores_gemma":[0.891497,0.00543986,0.07368101,0.0009830957,0.0015318008,0.0001948462,0.00050444447,0.00011699755,0.026050791],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980203,0.0005346086,0.00012483427,0.00044630174,0.0005478181,0.00032613095],"domain_scores_gemma":[0.997156,0.0009880395,0.00040385503,0.0005553712,0.00058150414,0.00031530196],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002201646,0.00069582934,0.0007018841,0.0013460853,0.0020487772,0.002386704,0.00058926526,0.00085615105,0.0049291574],"category_scores_gemma":[0.0035442777,0.0006010978,0.0010353515,0.0011069187,0.004449427,0.0070211114,0.0041884943,0.0021714785,0.0010945711],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030087782,0.000010714245,0.00028357343,0.00006117647,0.000010166521,0.00011313417,0.00023382598,0.0004419993,0.0016534037,0.9914546,0.0010392667,0.0046680756],"study_design_scores_gemma":[0.000012460473,0.000058335856,0.0007626242,0.000029877041,0.000018545117,0.00035206228,0.00017883707,0.0022943076,0.0017103107,0.97386295,0.020695947,0.00002386412],"about_ca_topic_score_codex":0.00036768627,"about_ca_topic_score_gemma":0.0003081873,"teacher_disagreement_score":0.0049291574,"about_ca_system_score_codex":0.00073081045,"about_ca_system_score_gemma":0.0004737012,"threshold_uncertainty_score":0.016489685},"labels":[],"label_agreement":null},{"id":"W1998316023","doi":"10.1142/s0219498806001594","title":"IDENTITIES RELATING THE JORDAN PRODUCT AND THE ASSOCIATOR IN THE FREE NONASSOCIATIVE ALGEBRA","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Topics in Algebra","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 Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; Iowa State University","keywords":"Mathematics; Identity (music); Variety (cybernetics); Non-associative algebra; Degree (music); Jordan algebra; Pure mathematics; Product (mathematics); Algebra over a field; Algebra representation; Geometry","score_opus":0.017650940978309975,"score_gpt":0.28627291507180724,"score_spread":0.26862197409349725,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1998316023","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":[0.6981112,0.0010746178,0.19672981,0.0007126262,0.0006098401,0.0000823517,0.00014366569,0.00014514847,0.10239081],"genre_scores_gemma":[0.956847,0.00068910973,0.026934182,0.00011201458,0.00020870437,0.000035434106,0.00012923981,0.000043690525,0.015000528],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99942833,0.00012029541,0.000043102926,0.00009710542,0.00019998907,0.00011111531],"domain_scores_gemma":[0.9992465,0.00014790818,0.0001913109,0.000078160236,0.000199506,0.00013661855],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009947849,0.0004820854,0.00037550912,0.0012887217,0.0022672995,0.0021543487,0.00074326433,0.00049029134,0.0033274717],"category_scores_gemma":[0.0017959798,0.00023985101,0.00049261865,0.0010205222,0.0025911557,0.0034414825,0.0020808121,0.0012934327,0.0011746404],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002192438,0.000023901634,0.00053120044,0.000028168408,0.0000038279936,0.00012041953,0.0009002722,0.0009502057,0.0015101142,0.9873885,0.0004922245,0.008029129],"study_design_scores_gemma":[0.0000053999283,0.000024196415,0.00041562397,0.000018963097,0.000010303315,0.00024976578,0.00033769535,0.0045124185,0.0044130096,0.982402,0.007582289,0.000028218985],"about_ca_topic_score_codex":0.00065786456,"about_ca_topic_score_gemma":0.00078369485,"teacher_disagreement_score":0.0033274717,"about_ca_system_score_codex":0.00075063185,"about_ca_system_score_gemma":0.0007087336,"threshold_uncertainty_score":0.011131465},"labels":[],"label_agreement":null},{"id":"W2003218494","doi":"10.1142/s0219498811004616","title":"ON SEMITRANSITIVE JORDAN ALGEBRAS OF MATRICES","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"University of Waterloo","funders":"","keywords":"Mathematics; Jordan algebra; Pure mathematics; Algebraically closed field; Vector space; Triangular matrix; Division algebra; Algebra representation; Nilpotent matrix; Algebra over a field; Field (mathematics); Universal enveloping algebra; Jordan matrix; Invertible matrix; Eigenvalues and eigenvectors; Square matrix; Symmetric matrix","score_opus":0.040781869315087343,"score_gpt":0.30505315165684954,"score_spread":0.2642712823417622,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003218494","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":[0.7585598,0.0010173653,0.17188925,0.00033438703,0.00017564159,0.00016287765,0.00020916658,0.00031286737,0.06733863],"genre_scores_gemma":[0.9738592,0.00064352347,0.016847022,0.00011297414,0.00023097331,0.000092352726,0.0002081411,0.000038907598,0.007966867],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999119,0.00020047264,0.000058401263,0.000116127725,0.00035914584,0.00014690941],"domain_scores_gemma":[0.9988808,0.00025368013,0.0002338605,0.0001132408,0.00030202157,0.00021639207],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009898999,0.0004347401,0.000441393,0.0012169738,0.0010954802,0.001760687,0.0005988768,0.00039368478,0.0042163846],"category_scores_gemma":[0.0017717234,0.00025431733,0.0007108742,0.0008421908,0.002317783,0.0027525625,0.0012827995,0.00079601095,0.0007527465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000067622066,0.00006749566,0.00039831153,0.00006428863,0.00001349043,0.00032380433,0.0005944137,0.0032776732,0.0073626502,0.98073936,0.00045352403,0.006637444],"study_design_scores_gemma":[0.00002534052,0.00015621276,0.0004626913,0.000028330467,0.000016010425,0.00049901305,0.00033794402,0.03440258,0.006733856,0.9527111,0.004593175,0.000033748503],"about_ca_topic_score_codex":0.00055000634,"about_ca_topic_score_gemma":0.00049199286,"teacher_disagreement_score":0.0042163846,"about_ca_system_score_codex":0.0005895281,"about_ca_system_score_gemma":0.000604767,"threshold_uncertainty_score":0.014105201},"labels":[],"label_agreement":null},{"id":"W2006146136","doi":"10.1142/s0219498815500589","title":"A commutativity property for rings","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brock University","funders":"","keywords":"Commutative property; Mathematics; Property (philosophy); Order (exchange); Commutative ring; Ring (chemistry); Pure mathematics; Discrete mathematics; Combinatorics; Chemistry","score_opus":0.03966762221900188,"score_gpt":0.30065120898419,"score_spread":0.2609835867651881,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2006146136","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":[0.30279008,0.0037551636,0.5662839,0.004749752,0.0011121647,0.00019841848,0.0009504941,0.00072336337,0.119436696],"genre_scores_gemma":[0.9243467,0.0010127191,0.06251386,0.0010425213,0.0012803776,0.00021427112,0.0005030754,0.00016498071,0.008921498],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9950531,0.001375621,0.00061038847,0.0015309227,0.0009404814,0.00048944156],"domain_scores_gemma":[0.9793355,0.012302017,0.0013495056,0.0028585594,0.0029283413,0.0012261479],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005764648,0.00041430723,0.0009890539,0.0015200308,0.0027196298,0.0038284953,0.0007676537,0.0011122756,0.008033716],"category_scores_gemma":[0.009610061,0.0005330355,0.0014351098,0.0010216711,0.006492648,0.01096012,0.0028613936,0.0021925026,0.0013766361],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007657748,0.000033428965,0.0011807095,0.00008181171,0.000020623133,0.00022091375,0.0005967422,0.00022508233,0.0031819544,0.987688,0.0012720615,0.005422134],"study_design_scores_gemma":[0.00004209593,0.0001285074,0.00091603224,0.000045196808,0.000035924237,0.000929976,0.00033857563,0.0024466438,0.0058681327,0.97265947,0.01655231,0.000037317837],"about_ca_topic_score_codex":0.00040630208,"about_ca_topic_score_gemma":0.00034332994,"teacher_disagreement_score":0.008033716,"about_ca_system_score_codex":0.0008316792,"about_ca_system_score_gemma":0.0008134151,"threshold_uncertainty_score":0.030486763},"labels":[],"label_agreement":null},{"id":"W2010996848","doi":"10.1142/s0219498806001661","title":"CLIFFORD CLASSES OF PRIMITIVE CENTRAL SIMPLE G-ALGEBRAS","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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 Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Central simple algebra; Abelian extension; Ring (chemistry); Algebra over a field; Simple (philosophy); Group algebra; Pure mathematics; Galois group; Simple module; Cellular algebra; Combinatorics; Algebra representation; Chemistry","score_opus":0.02541469122841177,"score_gpt":0.3127361301032919,"score_spread":0.2873214388748801,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2010996848","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":[0.961657,0.00022001103,0.028211413,0.00012842596,0.000025083398,0.000035551388,0.00012815374,0.00009693249,0.009497465],"genre_scores_gemma":[0.99560165,0.000064272645,0.002980843,0.000021140728,0.000047627007,0.000016638645,0.00014509392,0.000014177588,0.0011086767],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99893385,0.00014445903,0.00008147866,0.00022252744,0.00030327987,0.00031438374],"domain_scores_gemma":[0.9969799,0.0007926485,0.0006718254,0.00035427263,0.0004014871,0.00079982384],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018653106,0.0006279049,0.0008653084,0.005239431,0.0016230976,0.0037673656,0.0013349393,0.00071708637,0.002243677],"category_scores_gemma":[0.0043082726,0.00039836456,0.00069150166,0.0014219561,0.0040883454,0.0046613445,0.0015010572,0.0013225129,0.00028784224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00032190303,0.00020823815,0.009159051,0.00007262445,0.00003975296,0.00023685509,0.001047392,0.0041654427,0.0071655405,0.9563837,0.0007339672,0.020465638],"study_design_scores_gemma":[0.000078715464,0.00014402605,0.0045962147,0.000040470393,0.00002868369,0.00022122201,0.00044368117,0.028363593,0.009089911,0.9548712,0.0020641515,0.000058217767],"about_ca_topic_score_codex":0.0011310353,"about_ca_topic_score_gemma":0.00086419145,"teacher_disagreement_score":0.005239431,"about_ca_system_score_codex":0.0019973647,"about_ca_system_score_gemma":0.0007544362,"threshold_uncertainty_score":0.014491975},"labels":[],"label_agreement":null},{"id":"W2013811236","doi":"10.1142/s0219498807002624","title":"ON THE DERIVED LENGTH OF THE GROUP OF UNITS OF A GROUP ALGEBRA","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Finite Group Theory Research","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":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada; Brock University; Nemzeti Kutatási és Technológiai Hivatal","keywords":"Mathematics; Group (periodic table); Group algebra; Order (exchange); Cyclic group; Algebra over a field; Combinatorics; Field (mathematics); Dicyclic group; Quaternion group; Pure mathematics; Symmetric group; Alternating group; Abelian group; Physics","score_opus":0.053696368939911046,"score_gpt":0.31044353058276625,"score_spread":0.2567471616428552,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2013811236","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":[0.93231946,0.00085126533,0.028594617,0.00087719125,0.00012624919,0.000035266035,0.00029003754,0.00006148482,0.036844417],"genre_scores_gemma":[0.98688394,0.00044442542,0.007925847,0.00007370104,0.00030364256,0.00003435346,0.00027300467,0.000040486026,0.0040206187],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993443,0.00018224114,0.000041328876,0.00012484571,0.00016929573,0.00013803328],"domain_scores_gemma":[0.99597895,0.0019872794,0.0008254462,0.0002448803,0.00037926028,0.00058421586],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00087918015,0.0003884277,0.0005539683,0.0019205697,0.0011158314,0.0014292028,0.00088462536,0.0007278256,0.006060253],"category_scores_gemma":[0.0047771106,0.00020426234,0.00045644536,0.0009870586,0.0032843049,0.0042596725,0.0017984068,0.0016451252,0.0007930721],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002574163,0.00006838146,0.004640869,0.00010092131,0.00002244584,0.00030640862,0.001094146,0.00266455,0.004158637,0.97118795,0.0009374633,0.014560705],"study_design_scores_gemma":[0.000025061794,0.000101467755,0.0025856455,0.000035527886,0.000014285147,0.0002825751,0.00039498322,0.0061089303,0.0032241235,0.98439306,0.002792525,0.000041752435],"about_ca_topic_score_codex":0.00043908405,"about_ca_topic_score_gemma":0.00039318914,"teacher_disagreement_score":0.006060253,"about_ca_system_score_codex":0.0006346034,"about_ca_system_score_gemma":0.0004993208,"threshold_uncertainty_score":0.020273507},"labels":[],"label_agreement":null},{"id":"W2015661390","doi":"10.1142/s0219498812501289","title":"ON SEXTIC TRINOMIALS WITH GALOIS GROUP C<sub>6</sub>, S<sub>3</sub> OR C<sub>3</sub> × S<sub>3</sub>","year":2012,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Trinomial; Mathematics; Galois group; Group (periodic table); Combinatorics; Field (mathematics); Discrete mathematics; Pure mathematics; Physics","score_opus":0.02207160767877166,"score_gpt":0.26095272795962826,"score_spread":0.2388811202808566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2015661390","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":[0.9425447,0.00048538003,0.022495648,0.00026315518,0.000112282956,0.00004109183,0.0001455743,0.000068010624,0.033844247],"genre_scores_gemma":[0.9874107,0.0006145808,0.003973845,0.000036145004,0.00012146004,0.000028147799,0.00018983783,0.00003304444,0.007592206],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995554,0.00007008365,0.000026151009,0.00007825975,0.00012171195,0.00014842454],"domain_scores_gemma":[0.9991683,0.00021173175,0.00029262848,0.00006928629,0.00009461268,0.00016350801],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00055696093,0.0011013377,0.00072178664,0.003002537,0.0017687364,0.0019149283,0.00051496003,0.00062702666,0.004675363],"category_scores_gemma":[0.0018311101,0.00028030665,0.0005800997,0.0021128252,0.004033428,0.0026112401,0.0019519429,0.0011989766,0.00094279385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020492623,0.00009325988,0.0045554885,0.00015040152,0.000015751479,0.001121882,0.0017325901,0.005606434,0.005903032,0.95716363,0.0014366574,0.022015993],"study_design_scores_gemma":[0.000042877164,0.00016785135,0.003862006,0.00012615838,0.000029171946,0.0011887549,0.0010644787,0.0136764385,0.0032810853,0.9687654,0.007718787,0.00007707577],"about_ca_topic_score_codex":0.0010980666,"about_ca_topic_score_gemma":0.0015744736,"teacher_disagreement_score":0.004675363,"about_ca_system_score_codex":0.0010864841,"about_ca_system_score_gemma":0.00047628794,"threshold_uncertainty_score":0.015640616},"labels":[],"label_agreement":null},{"id":"W2022096905","doi":"10.1142/s0219498808003089","title":"LEFT QUASI-MORPHIC RINGS","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","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 Calgary","funders":"","keywords":"Annihilator; Mathematics; Principal ideal ring; Ring (chemistry); Von Neumann regular ring; Primitive ring; Ideal (ethics); Characterization (materials science); Principal ideal; Pure mathematics; Combinatorics; Reduced ring; Discrete mathematics; Commutative ring; Algebra over a field; Commutative property; Physics","score_opus":0.03798971132921438,"score_gpt":0.2797536142752148,"score_spread":0.2417639029460004,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022096905","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":[0.58993196,0.006147082,0.21578401,0.002579079,0.0006814599,0.000097177086,0.00086596643,0.0008131981,0.18310012],"genre_scores_gemma":[0.96441686,0.00079648197,0.023168802,0.00028173192,0.00035755622,0.000032897726,0.0001742859,0.000040595074,0.010730683],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99929106,0.00016269821,0.00005428617,0.00017670395,0.00019483497,0.00012033924],"domain_scores_gemma":[0.9989035,0.0002542044,0.00020875176,0.00022670251,0.00021547214,0.00019146952],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00088104646,0.00020147733,0.00019893164,0.00067727425,0.0006560692,0.0016474326,0.0002772202,0.00025386602,0.003257191],"category_scores_gemma":[0.001060214,0.00018437572,0.00031540773,0.00032928138,0.002245673,0.002780941,0.0013167113,0.0006119279,0.00051910366],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048808957,0.000010720699,0.00078802515,0.000059094447,0.000007989285,0.00010530646,0.0003787919,0.00041514784,0.006019146,0.9804043,0.0010820301,0.010680605],"study_design_scores_gemma":[0.0000307083,0.00014505138,0.004746109,0.00006607366,0.0000432741,0.0016338191,0.000620831,0.0067483373,0.018814929,0.84837204,0.11873165,0.00004723756],"about_ca_topic_score_codex":0.00020225745,"about_ca_topic_score_gemma":0.00021580081,"teacher_disagreement_score":0.003257191,"about_ca_system_score_codex":0.00045975338,"about_ca_system_score_gemma":0.0002635688,"threshold_uncertainty_score":0.010896385},"labels":[],"label_agreement":null},{"id":"W2023402154","doi":"10.1142/s0219498813500825","title":"ON THE GIRTH OF THE UNIT GRAPH OF A RING","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":28,"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; Natural Science Foundation of Guangxi Province; National Natural Science Foundation of China","keywords":"Mathematics; Combinatorics; Injective function; Girth (graph theory); Graph; Unit (ring theory); Simple graph; Ring (chemistry); Discrete mathematics","score_opus":0.030852925530449927,"score_gpt":0.2638000301309676,"score_spread":0.23294710460051765,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023402154","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":[0.95550025,0.00069196726,0.024173047,0.000407165,0.00005782195,0.00001868634,0.00019663673,0.00011491365,0.018839436],"genre_scores_gemma":[0.9917263,0.00053650106,0.005846778,0.00008861774,0.00010647524,0.000022002561,0.00016307834,0.000037902333,0.0014723405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950457,0.00013617845,0.000016445578,0.0001283242,0.00010492742,0.00010952374],"domain_scores_gemma":[0.998075,0.0010478704,0.00025487415,0.00017111245,0.00015921015,0.00029193916],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004500613,0.00030926662,0.0004924064,0.0017163515,0.00083985034,0.0013092707,0.00053209765,0.0004461227,0.002478494],"category_scores_gemma":[0.0020932646,0.0002828287,0.000368197,0.0008808227,0.0031432214,0.0015955877,0.0014948486,0.001119028,0.0003987599],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00044409616,0.000085709966,0.014088631,0.00024764793,0.00009043052,0.0004418439,0.0023571807,0.01845196,0.02455314,0.8893834,0.0028310427,0.04702509],"study_design_scores_gemma":[0.000030229907,0.00015000592,0.010006438,0.00006220985,0.000059507063,0.0006343819,0.00057804637,0.021086408,0.007521422,0.9529576,0.0068552564,0.000058624624],"about_ca_topic_score_codex":0.0005487972,"about_ca_topic_score_gemma":0.000371114,"teacher_disagreement_score":0.002478494,"about_ca_system_score_codex":0.00053053227,"about_ca_system_score_gemma":0.00031693085,"threshold_uncertainty_score":0.008291364},"labels":[],"label_agreement":null},{"id":"W2024277306","doi":"10.1142/s021949880900331x","title":"AN IDENTITY WITH GENERALIZED DERIVATIONS","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":25,"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 Science Council; Natural Sciences and Engineering Research Council of Canada; National Center for Theoretical Sciences","keywords":"Mathematics; Semiprime ring; Prime ring; Quotient; Combinatorics; Commutative ring; Semiprime; Prime (order theory); Commutative property; Identity (music); Ring (chemistry); Quotient ring; Discrete mathematics; Physics","score_opus":0.030829613106806278,"score_gpt":0.3462038688369704,"score_spread":0.31537425573016414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024277306","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":[0.31285504,0.002302543,0.3179316,0.002763232,0.0018209162,0.00023712176,0.00043470392,0.00084352697,0.3608113],"genre_scores_gemma":[0.8936357,0.0010378525,0.055565678,0.00072679424,0.0006854699,0.00011084054,0.0002390227,0.00014734556,0.04785133],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985757,0.00031102938,0.000103132355,0.00041545954,0.00031872242,0.00027602227],"domain_scores_gemma":[0.99891067,0.00023047985,0.00010043131,0.000310175,0.00026062794,0.00018768516],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014602607,0.00039288396,0.00061277795,0.0007432926,0.001852682,0.0020096975,0.0006113012,0.0009563795,0.0053554163],"category_scores_gemma":[0.002916901,0.00035789458,0.00075828336,0.00078040245,0.0030785159,0.0050070547,0.0039391364,0.0016380847,0.001674005],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030834763,0.000016479622,0.00020777363,0.000028690032,0.0000048862976,0.00019309147,0.0002961226,0.00021822262,0.0010737729,0.9890331,0.0009766722,0.007920303],"study_design_scores_gemma":[0.000020292753,0.00003741425,0.0002421704,0.000014691634,0.000013175776,0.0004161667,0.00014332969,0.002340603,0.002107658,0.9739075,0.020742068,0.0000149999],"about_ca_topic_score_codex":0.00082015246,"about_ca_topic_score_gemma":0.0005919433,"teacher_disagreement_score":0.0053554163,"about_ca_system_score_codex":0.00083411013,"about_ca_system_score_gemma":0.001078952,"threshold_uncertainty_score":0.017915666},"labels":[],"label_agreement":null},{"id":"W2024681991","doi":"10.1142/s0219498810003914","title":"UNIQUELY MORPHIC RINGS","year":2010,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","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":"Memorial University of Newfoundland","funders":"National Taiwan University; National Science Council; Natural Sciences and Engineering Research Council of Canada; Türkiye Bilimsel ve Teknolojik Araştırma Kurumu; National Center for Theoretical Sciences","keywords":"Mathematics; Combinatorics; Existential quantification; Property (philosophy); Ring (chemistry); Discrete mathematics; Chemistry","score_opus":0.025228278482068215,"score_gpt":0.28412368352197676,"score_spread":0.25889540503990854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024681991","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":[0.60439944,0.011532807,0.18181841,0.0014682445,0.00063124555,0.00015097056,0.0014541645,0.0005369918,0.1980077],"genre_scores_gemma":[0.94344825,0.0020615575,0.038091674,0.00033161393,0.00038342553,0.00007047645,0.00035750557,0.000050212486,0.015205266],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992073,0.00014936879,0.000059541126,0.00026806962,0.00017778274,0.00013786717],"domain_scores_gemma":[0.9992488,0.00014058268,0.00019891013,0.00017034482,0.00010525983,0.00013605483],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065573223,0.00033857685,0.00035306293,0.0009068456,0.00087085104,0.001462064,0.00031949498,0.0004533039,0.0031128635],"category_scores_gemma":[0.0012346602,0.0002703237,0.0003420196,0.00051729294,0.001843677,0.003264241,0.001619591,0.00067239645,0.00059506437],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029396384,0.000008774477,0.000746628,0.00007703442,0.000010079127,0.00020591058,0.00045967544,0.00059579586,0.0049364865,0.9738995,0.0015852641,0.017445367],"study_design_scores_gemma":[0.000024307275,0.00014123227,0.004702504,0.000087685425,0.000057749126,0.0039498936,0.00091431016,0.0036493684,0.015008782,0.80739564,0.16399191,0.000076746466],"about_ca_topic_score_codex":0.00014124774,"about_ca_topic_score_gemma":0.00021865737,"teacher_disagreement_score":0.0031128635,"about_ca_system_score_codex":0.00040620237,"about_ca_system_score_gemma":0.00030660446,"threshold_uncertainty_score":0.0104135275},"labels":[],"label_agreement":null},{"id":"W2028291148","doi":"10.1142/s021949881550084x","title":"Generalized Artin–Schreier polynomials","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Indecomposable module; Tensor product; Irreducibility; Field (mathematics); Pure mathematics; Irreducible polynomial; Polynomial; Combinatorics; Finite field; Field extension; Discrete mathematics; Matrix polynomial; Mathematical analysis","score_opus":0.02299614597718757,"score_gpt":0.28935151261545855,"score_spread":0.266355366638271,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028291148","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":[0.8679974,0.0010270723,0.055135623,0.0007871624,0.00010960393,0.000055429315,0.00018421772,0.00020796114,0.074495494],"genre_scores_gemma":[0.9833069,0.0004294948,0.007968013,0.00005807748,0.00010744192,0.000015079524,0.00012118397,0.000013361961,0.007980356],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996922,0.000040948,0.000011153992,0.00007176935,0.000109375185,0.00007452355],"domain_scores_gemma":[0.9996551,0.00006810167,0.000077227305,0.000053654738,0.000052709973,0.0000932099],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040194593,0.00037399025,0.00041985797,0.0011135835,0.00071317557,0.0009808653,0.00035878175,0.00027749973,0.003133288],"category_scores_gemma":[0.0013008261,0.00015431746,0.000416792,0.00055151473,0.0014188517,0.0016770014,0.00079768564,0.0009408708,0.0003133857],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000358197,0.000015914082,0.0006686056,0.000034996345,0.0000063641546,0.00032926307,0.00033235253,0.0016435279,0.0032802804,0.98491096,0.00046168908,0.008280199],"study_design_scores_gemma":[0.000023352677,0.00006137515,0.0018833769,0.000022841363,0.0000103513485,0.0007361745,0.00021952679,0.010271563,0.0026222717,0.9726443,0.011483064,0.000021860744],"about_ca_topic_score_codex":0.0006657385,"about_ca_topic_score_gemma":0.000812523,"teacher_disagreement_score":0.003133288,"about_ca_system_score_codex":0.00065677357,"about_ca_system_score_gemma":0.00042465358,"threshold_uncertainty_score":0.010481894},"labels":[],"label_agreement":null},{"id":"W2032758875","doi":"10.1142/s0219498809003485","title":"THE HOPF ALGEBRAS OF SYMMETRIC FUNCTIONS AND QUASI-SYMMETRIC FUNCTIONS IN NON-COMMUTATIVE VARIABLES ARE FREE AND CO-FREE","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":41,"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":"Hopf algebra; Representation theory of Hopf algebras; Coproduct; Symmetric function; Basis (linear algebra); Algebra over a field; Monomial; Product (mathematics); Ring of symmetric functions","score_opus":0.01945149051198161,"score_gpt":0.28804752458313004,"score_spread":0.2685960340711484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032758875","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":[0.50904375,0.0025765286,0.39004165,0.0013717767,0.0005977278,0.00012269735,0.00038158364,0.00029266952,0.09557153],"genre_scores_gemma":[0.9439974,0.00084095437,0.02906506,0.00018526262,0.0002215777,0.000076926546,0.00021773342,0.00007466279,0.025320455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990625,0.00015428026,0.000060313567,0.00016721318,0.00037774074,0.00017795795],"domain_scores_gemma":[0.99871755,0.00031517202,0.0002125809,0.00016979619,0.00033947534,0.0002454265],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012113278,0.0007703203,0.00077540136,0.0016049462,0.0015479648,0.0027597619,0.0008345032,0.0005317666,0.0064094705],"category_scores_gemma":[0.0015319596,0.00033938332,0.0007279925,0.0010689436,0.004180483,0.005202688,0.0022704275,0.0016499048,0.0012252231],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002044349,0.000014596906,0.0001780942,0.000025639558,0.000008440311,0.0000878116,0.00021595976,0.00034560202,0.0015836944,0.99231625,0.00017810063,0.0050253617],"study_design_scores_gemma":[0.000009938209,0.000017933924,0.00025591315,0.000010752163,0.000012335531,0.0001141361,0.00014986363,0.0020553132,0.0038416416,0.9894469,0.004070479,0.0000147614155],"about_ca_topic_score_codex":0.00072159304,"about_ca_topic_score_gemma":0.00084267964,"teacher_disagreement_score":0.0064094705,"about_ca_system_score_codex":0.00068662176,"about_ca_system_score_gemma":0.0009743673,"threshold_uncertainty_score":0.021441817},"labels":[],"label_agreement":null},{"id":"W2039248112","doi":"10.1142/s0219498808002989","title":"POLYNOMIAL AND GROUP IDENTITIES IN ALTERNATIVE LOOP ALGEBRAS","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Mathematics and Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Universidade de São Paulo; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Mathematics; Loop (graph theory); Identity (music); Polynomial; Unit (ring theory); Group (periodic table); Pure mathematics; Polynomial ring; Algebra over a field; Discrete mathematics; Combinatorics; Mathematical analysis; Mathematics education","score_opus":0.04196262097333326,"score_gpt":0.2997813200211047,"score_spread":0.25781869904777144,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039248112","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":[0.7957025,0.00030849493,0.16060193,0.00047749106,0.00011431864,0.00004459971,0.00008775761,0.00009742039,0.042565525],"genre_scores_gemma":[0.980981,0.00011760873,0.012669057,0.00006230738,0.000102181504,0.000022773134,0.00005213797,0.000022538321,0.0059703095],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986357,0.00028638126,0.00005656487,0.00023345352,0.00045701186,0.00033083372],"domain_scores_gemma":[0.9982369,0.00044836637,0.00040156953,0.00019312276,0.0004146179,0.00030533518],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014142919,0.0003988816,0.0004676665,0.0013230426,0.0015100827,0.0016981328,0.00092183665,0.0007591434,0.0038779855],"category_scores_gemma":[0.0032352465,0.00018255833,0.00058537757,0.0009830015,0.0028950805,0.004683423,0.0015963918,0.0009674997,0.00059430744],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002051067,0.000015435517,0.00033383653,0.000011039244,0.0000030207862,0.00010313467,0.00022635692,0.0008434824,0.00083612854,0.99516606,0.00014118459,0.0022997977],"study_design_scores_gemma":[0.000014029262,0.000041423365,0.00030290915,0.000006030902,0.0000067229284,0.00018990527,0.00015965021,0.012767134,0.0014636726,0.98301214,0.0020204682,0.000015806909],"about_ca_topic_score_codex":0.0007734634,"about_ca_topic_score_gemma":0.000572947,"teacher_disagreement_score":0.0038779855,"about_ca_system_score_codex":0.00076766976,"about_ca_system_score_gemma":0.00046377894,"threshold_uncertainty_score":0.012973189},"labels":[],"label_agreement":null},{"id":"W2039390804","doi":"10.1142/s0219498815400058","title":"Field generators in two variables and birational endomorphisms of 𝔸<sup>2</sup>","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Endomorphism; Mathematics; Field (mathematics); Affine plane (incidence geometry); Pure mathematics; Affine transformation; Plane (geometry); Algebra over a field; Geometry; Plane curve","score_opus":0.03767390886934942,"score_gpt":0.31621003173428003,"score_spread":0.2785361228649306,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039390804","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":[0.5363032,0.011579686,0.19961242,0.004929126,0.0016644011,0.00015460333,0.000694626,0.00038877502,0.24467325],"genre_scores_gemma":[0.93596625,0.0034029628,0.031319946,0.0006762983,0.0010730899,0.00013133993,0.00040509945,0.00013227412,0.026892684],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995734,0.00011423151,0.00003493303,0.00008474955,0.000115368464,0.000077387755],"domain_scores_gemma":[0.9993356,0.00029603823,0.00013211585,0.00004547342,0.000100344376,0.00009047783],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010070801,0.0003546635,0.00035857863,0.0013488348,0.00083927315,0.001872699,0.00034024863,0.000438109,0.007952513],"category_scores_gemma":[0.0011734539,0.00018846238,0.00043584846,0.00096069375,0.0020535258,0.0040129395,0.0009214226,0.0013324096,0.0011000464],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011230192,0.000014280563,0.0003001556,0.00002459001,0.000001981933,0.00007333069,0.00021507568,0.00017979382,0.00059175777,0.9884792,0.0009214617,0.009187232],"study_design_scores_gemma":[0.000013070131,0.00004485518,0.0009296776,0.000020797164,0.000003550972,0.00040033623,0.00020856663,0.0009877805,0.0009613811,0.9767095,0.019705249,0.000015340296],"about_ca_topic_score_codex":0.0002586872,"about_ca_topic_score_gemma":0.00014791334,"teacher_disagreement_score":0.007952513,"about_ca_system_score_codex":0.00065059104,"about_ca_system_score_gemma":0.0004035069,"threshold_uncertainty_score":0.026603818},"labels":[],"label_agreement":null},{"id":"W2042675474","doi":"10.1142/s0219498806001879","title":"NORMALITY OF f-UNITARY UNITS IN AN ALTERNATIVE LOOP RING","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Mathematics and 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":"Memorial University of Newfoundland","funders":"","keywords":"Loop (graph theory); Mathematics; Unitary state; Ring (chemistry); Homomorphism; Unit (ring theory); Combinatorics; Associative property; Pure mathematics; Discrete mathematics","score_opus":0.051834480792605976,"score_gpt":0.3218638188396683,"score_spread":0.2700293380470623,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042675474","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":[0.9062,0.00022463039,0.06272913,0.00035507555,0.000100370715,0.00004428388,0.00016685599,0.00021370943,0.029965939],"genre_scores_gemma":[0.98787886,0.00007751301,0.008838966,0.00006009573,0.00010365594,0.000032941174,0.00015934365,0.00002829726,0.002820318],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972458,0.00057894125,0.00019109016,0.0006700463,0.0008100991,0.0005042066],"domain_scores_gemma":[0.9956671,0.0014774011,0.0005845696,0.00046440147,0.0009930871,0.0008134705],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001653059,0.00029356393,0.00067564286,0.0013264278,0.0011619881,0.0026074615,0.00073469954,0.0005695734,0.0029867156],"category_scores_gemma":[0.006194017,0.0002707653,0.0006144292,0.00047712587,0.0050823637,0.004992776,0.0018858955,0.0012608609,0.0005237228],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021789118,0.00007483654,0.0023820314,0.000042699263,0.000013511383,0.00035430086,0.00077056023,0.0009960732,0.0052954354,0.9820827,0.0006619073,0.0071081333],"study_design_scores_gemma":[0.0000879726,0.0002751238,0.0016196964,0.000020036281,0.000020031275,0.00085189607,0.00049785525,0.0173396,0.011064463,0.96286035,0.005296547,0.00006640241],"about_ca_topic_score_codex":0.0005353405,"about_ca_topic_score_gemma":0.00029605784,"teacher_disagreement_score":0.0029867156,"about_ca_system_score_codex":0.00083173305,"about_ca_system_score_gemma":0.0007275615,"threshold_uncertainty_score":0.009991586},"labels":[],"label_agreement":null},{"id":"W2047974109","doi":"10.1142/s0219498812501277","title":"ON RINGS OVER WHICH THE INJECTIVE HULL OF EACH CYCLIC MODULE IS Σ-EXTENDING","year":2012,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","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":"Mathematics; Injective function; Hull; Ring (chemistry); Class (philosophy); Injective module; Von Neumann regular ring; Combinatorics; Pure mathematics; Computer science; Artificial intelligence; Composite material","score_opus":0.027753614959499538,"score_gpt":0.3025897242793623,"score_spread":0.2748361093198628,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2047974109","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":[0.6454551,0.00536598,0.20227425,0.0014258552,0.00018408567,0.000146164,0.0004973632,0.00015098983,0.1445003],"genre_scores_gemma":[0.9507038,0.0025626402,0.030559517,0.00037540914,0.0005062244,0.00007862308,0.00042678788,0.000047383444,0.014739644],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99854505,0.00035790706,0.00007078077,0.00031106255,0.0003598711,0.00035533067],"domain_scores_gemma":[0.9966001,0.0013911189,0.00061862386,0.00046202907,0.00039922926,0.0005290311],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019836966,0.00077121385,0.00066083187,0.002722127,0.0017660754,0.0018042626,0.00054611586,0.0008086479,0.0038539483],"category_scores_gemma":[0.0030444462,0.0005126802,0.001211074,0.0016404892,0.0070640496,0.008697477,0.00333846,0.0020356227,0.0006536987],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006311066,0.00003853347,0.0020517618,0.00009525382,0.00001712112,0.00024717895,0.0010592487,0.0013137908,0.0040080296,0.98210996,0.00056362787,0.0084323995],"study_design_scores_gemma":[0.000037081678,0.00026810053,0.0074015055,0.000098362194,0.000044287895,0.0012622954,0.0008403533,0.0068658944,0.004857571,0.96159375,0.016637973,0.000092753326],"about_ca_topic_score_codex":0.0009811952,"about_ca_topic_score_gemma":0.0005290023,"teacher_disagreement_score":0.0038539483,"about_ca_system_score_codex":0.0012446507,"about_ca_system_score_gemma":0.00038035112,"threshold_uncertainty_score":0.012892723},"labels":[],"label_agreement":null},{"id":"W2051851961","doi":"10.1142/s0219498804000691","title":"ENDOMORPHISM ALGEBRAS OF PROJECTIVE MODULES OVER LAURA ALGEBRAS","year":2004,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"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; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Mathematics; Endomorphism; Idempotence; Pure mathematics; Projective test; Algebra over a field; Finitely-generated abelian group; Endomorphism ring","score_opus":0.021937853226351677,"score_gpt":0.28747704390587764,"score_spread":0.26553919067952597,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2051851961","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":[0.86630785,0.0008546302,0.07674824,0.00045614692,0.00012011694,0.0000791027,0.00019991913,0.0002709522,0.05496306],"genre_scores_gemma":[0.980273,0.00036482007,0.009665336,0.00010498854,0.00013475654,0.00006196168,0.0001491397,0.000030608644,0.00921533],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952483,0.00008691726,0.000033983993,0.00009622267,0.00012574697,0.00013240628],"domain_scores_gemma":[0.9992943,0.00013964009,0.00013445459,0.0000884922,0.000113981565,0.00022905678],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057781354,0.00038595745,0.00039312616,0.001368671,0.0010457968,0.0023494062,0.0004347486,0.00034520187,0.003985784],"category_scores_gemma":[0.0009217471,0.00037734208,0.00056388543,0.0006431218,0.0019247971,0.0036627618,0.002008512,0.0010098933,0.00063966954],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006023228,0.00005306059,0.0009901123,0.000046500947,0.000016544458,0.00037537786,0.00076257077,0.00053033605,0.008738645,0.98035175,0.00041891207,0.0076560252],"study_design_scores_gemma":[0.000046005065,0.00010586247,0.0035203458,0.000029295157,0.000027409014,0.00081823365,0.00059742323,0.005175146,0.008599806,0.9729619,0.008084111,0.000034398938],"about_ca_topic_score_codex":0.00028761372,"about_ca_topic_score_gemma":0.00036437204,"teacher_disagreement_score":0.003985784,"about_ca_system_score_codex":0.00051699294,"about_ca_system_score_gemma":0.0003424065,"threshold_uncertainty_score":0.013333797},"labels":[],"label_agreement":null},{"id":"W2057589930","doi":"10.1142/s0219498815501170","title":"Global crystal bases and q-Schur algebras","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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 Winnipeg","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Schur algebra; Mathematics; Schur's lemma; Basis (linear algebra); Invertible matrix; Schur decomposition; Schur complement; Schur's theorem; Triangular matrix; Schur product theorem; Pure mathematics; Algebra over a field; Combinatorics; Geometry; Physics; Eigenvalues and eigenvectors; Orthogonal polynomials","score_opus":0.015883901144183418,"score_gpt":0.27856590716453633,"score_spread":0.2626820060203529,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057589930","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":[0.4576842,0.00044402285,0.4711368,0.00046776666,0.00022407033,0.00010794665,0.00026815405,0.00033470226,0.06933241],"genre_scores_gemma":[0.94936895,0.00025762428,0.035963915,0.00013970037,0.00011350001,0.000085424894,0.00020039648,0.0000954124,0.013775084],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999701,0.000054904816,0.00001170131,0.00005815908,0.00009848967,0.00007577246],"domain_scores_gemma":[0.9997427,0.00004333505,0.00004020313,0.000042316908,0.000075529606,0.00005597825],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003900944,0.00040032418,0.00045518612,0.0009290928,0.001218531,0.0012805747,0.0006330274,0.00038615012,0.008018769],"category_scores_gemma":[0.00082230056,0.00016591519,0.00042354324,0.00068580266,0.0015981757,0.0019083114,0.0013774341,0.0009982883,0.0010132929],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014785813,0.000016462487,0.00017907725,0.00002042765,0.0000041647986,0.000065807064,0.00012281512,0.0019064276,0.0025935906,0.9890087,0.00051897566,0.0055486714],"study_design_scores_gemma":[0.000011454693,0.00004122728,0.00018725076,0.000015560518,0.0000063070634,0.00009884064,0.00018337298,0.019978972,0.004099295,0.9710859,0.004270494,0.000021432166],"about_ca_topic_score_codex":0.0009404016,"about_ca_topic_score_gemma":0.0011225187,"teacher_disagreement_score":0.008018769,"about_ca_system_score_codex":0.00042556543,"about_ca_system_score_gemma":0.00049203646,"threshold_uncertainty_score":0.026825428},"labels":[],"label_agreement":null},{"id":"W2063446704","doi":"10.1142/s0219498808002928","title":"THE BOUND QUIVER OF A SPLIT EXTENSION","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"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; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo; Université de Sherbrooke","keywords":"Quiver; Extension (predicate logic); Mathematics; Compatibility (geochemistry); Ideal (ethics); Pure mathematics; Algebra over a field; Set (abstract data type); Computer science","score_opus":0.036722371508802844,"score_gpt":0.2897455879647435,"score_spread":0.2530232164559406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063446704","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":[0.76949507,0.00077589665,0.116268754,0.0004374366,0.00015417243,0.000067834415,0.00022636025,0.00022533805,0.11234911],"genre_scores_gemma":[0.98202527,0.00012102569,0.008592411,0.00014788762,0.000049149905,0.000030855026,0.00018690719,0.00004203537,0.008804449],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994035,0.00007361018,0.00003686268,0.00015151943,0.00020157892,0.00013301919],"domain_scores_gemma":[0.9993273,0.00014070398,0.000052953987,0.00007719683,0.00017160561,0.0002300925],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009555876,0.00028308443,0.0004905772,0.0012557871,0.0018038481,0.0026513,0.00040968246,0.0004569837,0.0068067964],"category_scores_gemma":[0.001033984,0.00035570355,0.0003856154,0.00050991925,0.0022637479,0.004598292,0.0019392541,0.0013340522,0.00076571753],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000409443,0.000024953199,0.0005564011,0.000025626003,0.0000107409205,0.00020400314,0.00027157195,0.0002843326,0.003673694,0.9903257,0.00044119422,0.00414082],"study_design_scores_gemma":[0.000025553029,0.0000834254,0.0014564309,0.00004407582,0.000030969335,0.000563908,0.00030254773,0.0047531896,0.0050706733,0.9779555,0.009689878,0.000023859873],"about_ca_topic_score_codex":0.00057703315,"about_ca_topic_score_gemma":0.00065999007,"teacher_disagreement_score":0.0068067964,"about_ca_system_score_codex":0.00059847825,"about_ca_system_score_gemma":0.00044813083,"threshold_uncertainty_score":0.022771},"labels":[],"label_agreement":null},{"id":"W2068773776","doi":"10.1142/s0219498811004859","title":"TWO-SIDED IDEALS IN LEAVITT PATH ALGEBRAS","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Noetherian; Graph; Vertex (graph theory); Path (computing); Combinatorics; Ideal (ethics); Discrete mathematics; Pure mathematics; Algebra over a field; Computer science","score_opus":0.07672218496625417,"score_gpt":0.3592960748464357,"score_spread":0.28257388988018156,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068773776","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":[0.52312356,0.000635302,0.34434566,0.00055256987,0.00018819509,0.000119396354,0.00026924312,0.00052524154,0.13024084],"genre_scores_gemma":[0.95855737,0.00018153721,0.02778827,0.00009763133,0.000050877086,0.000052253206,0.00011632017,0.000049457813,0.013106254],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99955696,0.000070248105,0.000023889226,0.00006690099,0.00014955552,0.00013252259],"domain_scores_gemma":[0.9996227,0.00007175785,0.00006694936,0.00005692582,0.00008921241,0.00009231561],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004788607,0.00032422127,0.00022669965,0.0009315605,0.0010050088,0.0014240078,0.00059049035,0.00035135253,0.0052988175],"category_scores_gemma":[0.0005608832,0.0001928265,0.00048975204,0.0006451362,0.0018980895,0.003232397,0.0013786836,0.00080560596,0.0009184189],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025468342,0.000020798036,0.00031673908,0.00002898845,0.0000037980103,0.00022403605,0.00045485745,0.00094697333,0.004646229,0.9903869,0.00029614556,0.002649073],"study_design_scores_gemma":[0.00001384963,0.00005375993,0.00035392048,0.00001806446,0.000009007384,0.00037900318,0.00041534353,0.0094367275,0.007865841,0.9685588,0.012871762,0.000023913837],"about_ca_topic_score_codex":0.00063309376,"about_ca_topic_score_gemma":0.0008440917,"teacher_disagreement_score":0.0052988175,"about_ca_system_score_codex":0.00067141,"about_ca_system_score_gemma":0.00046667122,"threshold_uncertainty_score":0.017726302},"labels":[],"label_agreement":null},{"id":"W2075553718","doi":"10.1142/s0219498812501204","title":"IN PRAISE OF ORDER UNITS","year":2012,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Polyhedron; Praise; Order (exchange); Property (philosophy); Regular polygon; Unit (ring theory); Mathematics; Combinatorics; Pure mathematics; Geometry; Business; Psychology; Mathematics education; Epistemology; Philosophy; Social psychology","score_opus":0.05677963508652921,"score_gpt":0.3311110253868101,"score_spread":0.27433139030028086,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2075553718","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":[0.14523704,0.002823319,0.39903373,0.010600404,0.0019224336,0.000052141422,0.00024715147,0.00036899076,0.43971476],"genre_scores_gemma":[0.8707668,0.0012171081,0.04432138,0.0014720712,0.000733107,0.000060305254,0.0001260937,0.00023468786,0.08106848],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992072,0.00024247883,0.000028164071,0.0001788539,0.00023819355,0.000105142884],"domain_scores_gemma":[0.99879634,0.00045256392,0.00011434121,0.00028749462,0.00022485649,0.0001243425],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009903394,0.00034554774,0.00040401306,0.00047891293,0.002106936,0.0028418123,0.0005931064,0.0009827234,0.009360903],"category_scores_gemma":[0.0034684385,0.00027613525,0.0005702779,0.00043863017,0.005136708,0.006244821,0.0023922771,0.0028855707,0.0015807119],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012301434,0.0000031653888,0.0000626019,0.000017478595,0.0000017225502,0.000033306238,0.00016442977,0.00023050183,0.00047740276,0.9947895,0.0010025533,0.0032048984],"study_design_scores_gemma":[0.0000041651497,0.000011543751,0.00009272007,0.000012666124,0.0000029210369,0.00011136717,0.0001230886,0.0015518046,0.0012242238,0.97511816,0.021740334,0.000006962446],"about_ca_topic_score_codex":0.0005145746,"about_ca_topic_score_gemma":0.0006218473,"teacher_disagreement_score":0.009360903,"about_ca_system_score_codex":0.0006515619,"about_ca_system_score_gemma":0.00034168785,"threshold_uncertainty_score":0.031315386},"labels":[],"label_agreement":null},{"id":"W2076050689","doi":"10.1142/s0219498811005713","title":"TWO-SIDED CHAIN CONDITIONS IN LEAVITT PATH ALGEBRAS OVER ARBITRARY GRAPHS","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Noetherian; Mathematics; Path (computing); Ideal (ethics); Discrete mathematics; Chain (unit); Combinatorics; Pure mathematics; Algebra over a field; Computer science","score_opus":0.04721070286114164,"score_gpt":0.3398882062483474,"score_spread":0.2926775033872058,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076050689","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":[0.8956891,0.00042945694,0.048897784,0.00036137612,0.000063428866,0.000058806345,0.00018996521,0.0001709595,0.054139208],"genre_scores_gemma":[0.99008906,0.00013904819,0.005720869,0.000060830538,0.000033037708,0.000026746411,0.00013449242,0.000015338415,0.0037805457],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994418,0.00009416306,0.000046158457,0.000095982534,0.00014233065,0.0001795899],"domain_scores_gemma":[0.9990722,0.00022797496,0.00017270156,0.00011002082,0.00016437986,0.0002526848],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00069839245,0.00026074742,0.00030308779,0.0012716497,0.0013962872,0.0023861988,0.00047670695,0.00061341544,0.004232281],"category_scores_gemma":[0.0011088781,0.00025096466,0.00045739856,0.0008999067,0.002726004,0.003907237,0.0012736104,0.0008892438,0.000625147],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039501327,0.000021744063,0.00067953084,0.000029018707,0.000004003293,0.00013226373,0.00032241442,0.00077439885,0.0024755783,0.9921821,0.00023410044,0.003105247],"study_design_scores_gemma":[0.00002167602,0.0000355747,0.00066734984,0.000022900662,0.0000073851133,0.00018148642,0.0004351628,0.0041609127,0.0029642603,0.98889995,0.0025824993,0.000020710602],"about_ca_topic_score_codex":0.0010478606,"about_ca_topic_score_gemma":0.0013567887,"teacher_disagreement_score":0.004232281,"about_ca_system_score_codex":0.00085126626,"about_ca_system_score_gemma":0.0006479708,"threshold_uncertainty_score":0.014158428},"labels":[],"label_agreement":null},{"id":"W2080172690","doi":"10.1142/s0219498816500286","title":"Units on the Gauss extension of a Galois ring","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Science Foundation of Guangxi Province; National Natural Science Foundation of China; National Science Foundation","keywords":"Mathematics; Extension (predicate logic); Ring (chemistry); Gauss; Galois extension; Unit (ring theory); Galois group; Primitive ring; Pure mathematics; Discrete mathematics; Principal ideal ring; Commutative ring; Computer science; Mathematics education; Physics; Programming language","score_opus":0.0888931510045288,"score_gpt":0.30676954083071845,"score_spread":0.21787638982618965,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2080172690","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":[0.90891445,0.0013106333,0.041962173,0.0005542684,0.00013837655,0.00006582021,0.00013921654,0.000096622294,0.04681835],"genre_scores_gemma":[0.9835238,0.00049889943,0.0068754293,0.00007871228,0.00022626619,0.000026664982,0.00009015409,0.00002603753,0.008654067],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961084,0.00011237767,0.000018613655,0.00007863158,0.000091403264,0.00008823224],"domain_scores_gemma":[0.99916196,0.0002502677,0.0001725442,0.00007009429,0.000106608204,0.00023849937],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063675625,0.0005562943,0.00047295965,0.00127967,0.001111253,0.001757582,0.0005342833,0.00036976355,0.0043457476],"category_scores_gemma":[0.001323299,0.0002914309,0.0004065983,0.00062378653,0.003235325,0.0041806316,0.0019528517,0.0011050828,0.0006958167],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005866032,0.00003669234,0.0010745628,0.000052653977,0.000008705319,0.00026005163,0.0008920212,0.00071133196,0.002172651,0.9856066,0.0003638478,0.0087623205],"study_design_scores_gemma":[0.000035177258,0.0001658666,0.0022449235,0.000042706146,0.000019551459,0.0005617588,0.0006699984,0.0039085415,0.0041078017,0.97753215,0.010678955,0.000032562264],"about_ca_topic_score_codex":0.0003301716,"about_ca_topic_score_gemma":0.00021575451,"teacher_disagreement_score":0.0043457476,"about_ca_system_score_codex":0.00047470967,"about_ca_system_score_gemma":0.00030062266,"threshold_uncertainty_score":0.01453799},"labels":[],"label_agreement":null},{"id":"W2081061619","doi":"10.1142/s0219498807002466","title":"CLEAN, ALMOST CLEAN, POTENT COMMUTATIVE RINGS","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Commutative ring; Local ring; Commutative property; Noncommutative ring; Pure mathematics; Topology (electrical circuits); Ring (chemistry); Class (philosophy); Von Neumann regular ring; Base (topology); Discrete mathematics; Combinatorics; Mathematical analysis; Chemistry; Computer science","score_opus":0.03197850694407988,"score_gpt":0.3064248645006021,"score_spread":0.2744463575565222,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081061619","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":[0.7854151,0.004436334,0.14795783,0.0011397436,0.00024368211,0.00007657158,0.0011449779,0.00033131836,0.05925437],"genre_scores_gemma":[0.97384906,0.001013158,0.017097564,0.00017125631,0.00024886036,0.00004379078,0.00032877445,0.000025406207,0.007222217],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99926263,0.0001047254,0.00006551361,0.00017725387,0.00024426068,0.0001455379],"domain_scores_gemma":[0.9980824,0.0003732482,0.0004420049,0.0003832778,0.00035089062,0.00036819326],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011408759,0.0003893386,0.0004994941,0.0013375564,0.0011765755,0.0019416237,0.00038798878,0.0004604744,0.0024673175],"category_scores_gemma":[0.0016231625,0.0002678184,0.0005233231,0.00054273644,0.0025829463,0.0032991248,0.0018767134,0.0008880384,0.0004947258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001322093,0.00005548626,0.0036253205,0.0001398857,0.00003614064,0.00039750265,0.00063115585,0.0012642195,0.014186815,0.96706307,0.0021393003,0.010328972],"study_design_scores_gemma":[0.00005069712,0.0004025422,0.014938952,0.00008240019,0.00015035048,0.0035289181,0.00096609443,0.01177904,0.03263139,0.87198544,0.06335769,0.00012648615],"about_ca_topic_score_codex":0.00022694553,"about_ca_topic_score_gemma":0.00022024402,"teacher_disagreement_score":0.0024673175,"about_ca_system_score_codex":0.00035273522,"about_ca_system_score_gemma":0.0002822689,"threshold_uncertainty_score":0.008253932},"labels":[],"label_agreement":null},{"id":"W2082954953","doi":"10.1142/s0219498808003077","title":"NEAR-DIAGONAL REPRESENTATIVES OF CONJUGACY CLASSES OF ORTHOGONAL MATRICES","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"graph theory and CDMA systems","field":"Engineering","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":"Wilfrid Laurier University; University of Waterloo","funders":"","keywords":"Mathematics; Algebraically closed field; Conjugacy class; Zigzag; Combinatorics; Diagonal; Conjecture; Transpose; Matrix (chemical analysis); Orthogonal group; Triangular matrix; Orthogonal matrix; Group (periodic table); Field (mathematics); Pure mathematics; Invertible matrix; Orthogonal basis; Eigenvalues and eigenvectors; Geometry; Physics","score_opus":0.012690240558932486,"score_gpt":0.23927532375060845,"score_spread":0.22658508319167597,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082954953","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":[0.9588555,0.000061326835,0.0110217,0.00018828377,0.000050427127,0.0000326842,0.000062992985,0.00006542068,0.029661698],"genre_scores_gemma":[0.9923574,0.00005566651,0.0029961036,0.000055850178,0.00004262864,0.000029729605,0.000109963934,0.000016660772,0.004336071],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99953437,0.000064529355,0.00002948689,0.0000995437,0.00010492074,0.00016721721],"domain_scores_gemma":[0.9995134,0.00014137721,0.00009176353,0.000064088155,0.000043511274,0.00014593653],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003007026,0.0002570699,0.000301222,0.0015497494,0.001524075,0.0019680967,0.00029749973,0.0006339194,0.00574438],"category_scores_gemma":[0.0013580407,0.00025732297,0.00031044648,0.00056127086,0.0015817569,0.0012110578,0.001400183,0.00071284396,0.0005882577],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000248604,0.00012997967,0.0041675265,0.00002456347,0.000011155022,0.00072356896,0.0008248843,0.00071593747,0.01830131,0.9558835,0.0011154985,0.017853409],"study_design_scores_gemma":[0.0001715097,0.00025208853,0.006948539,0.000049438153,0.000029659934,0.001892727,0.0014293356,0.015797293,0.01993537,0.9389341,0.014502939,0.000056983823],"about_ca_topic_score_codex":0.00039093933,"about_ca_topic_score_gemma":0.000412853,"teacher_disagreement_score":0.00574438,"about_ca_system_score_codex":0.0006950794,"about_ca_system_score_gemma":0.00030469664,"threshold_uncertainty_score":0.019216835},"labels":[],"label_agreement":null},{"id":"W2083019430","doi":"10.1142/s0219498802000082","title":"AUTOMORPHISMS OF TOROIDAL LIE ALGEBRAS AND THEIR CENTRAL QUOTIENTS","year":2002,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"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; Automorphism; Quotient; Conjugacy class; Pure mathematics; Automorphisms of the symmetric and alternating groups; Lie algebra; Group (periodic table); Algebra over a field; Physics","score_opus":0.027397487840848236,"score_gpt":0.24972560186380183,"score_spread":0.2223281140229536,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2083019430","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":[0.9228749,0.0006768029,0.028400572,0.00042261573,0.00020571442,0.00008646322,0.000080995545,0.00019143082,0.047060557],"genre_scores_gemma":[0.99102646,0.0002049633,0.002932789,0.000046209967,0.00010150581,0.000030799474,0.000051473326,0.000023460812,0.0055824895],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99965286,0.000081234844,0.00001942515,0.000056915702,0.00008817084,0.00010141475],"domain_scores_gemma":[0.9995016,0.000098970406,0.000122022895,0.000067642475,0.00007205671,0.00013771484],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005488613,0.00045148554,0.00041246082,0.0012307036,0.0014318764,0.0017588633,0.00043295804,0.00045447773,0.0028853004],"category_scores_gemma":[0.0012430033,0.00019571967,0.0004845042,0.00060766394,0.0031541171,0.0019990287,0.0014870897,0.000748033,0.0005172175],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005004484,0.000025125782,0.00047382247,0.00002186539,0.0000060492007,0.00026825507,0.00083970826,0.0013715753,0.0026241746,0.98902726,0.00034596963,0.0049460838],"study_design_scores_gemma":[0.000019321553,0.00004916899,0.00050189067,0.000014097137,0.000009206248,0.0002442223,0.0003923679,0.0062898835,0.0030748267,0.98442763,0.0049614166,0.000015942796],"about_ca_topic_score_codex":0.0013228763,"about_ca_topic_score_gemma":0.0007708718,"teacher_disagreement_score":0.0028853004,"about_ca_system_score_codex":0.00094901456,"about_ca_system_score_gemma":0.00049568334,"threshold_uncertainty_score":0.009652317},"labels":[],"label_agreement":null},{"id":"W2084931854","doi":"10.1142/s0219498809003394","title":"LOOP RINGS SATISFYING IDENTITIES OF BOL–MOUFANG TYPE","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Mathematics and Applications","field":"Mathematics","cited_by":5,"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":"Associative property; Mathematics; Loop (graph theory); Identity (music); Pure mathematics; Type (biology); Algebra over a field; Combinatorics; Philosophy; Aesthetics","score_opus":0.03868653578030344,"score_gpt":0.32719563895612097,"score_spread":0.2885091031758175,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2084931854","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":[0.8031094,0.0006957948,0.14265773,0.00054275914,0.00020404541,0.00009029875,0.00021979028,0.00031210107,0.052168097],"genre_scores_gemma":[0.98024637,0.00017831914,0.013865846,0.00021482272,0.0001342384,0.00004771328,0.00013004518,0.000033741177,0.005148984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976937,0.0005074905,0.00016891636,0.00039788187,0.00064405764,0.0005879573],"domain_scores_gemma":[0.9960186,0.0012752914,0.0008520579,0.0006249617,0.0008371993,0.00039189466],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022988184,0.00032261177,0.00068746874,0.00092617876,0.0021379741,0.0021661082,0.00054634985,0.0009790545,0.0034423987],"category_scores_gemma":[0.006023404,0.00025704442,0.00072684936,0.00061076984,0.003257897,0.004874839,0.0022913062,0.0011201415,0.00062575744],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012319985,0.00003111236,0.0023757087,0.000069925154,0.000019821158,0.00030796186,0.00075954664,0.0005833176,0.003393917,0.9823914,0.0006959517,0.009248051],"study_design_scores_gemma":[0.00005984634,0.0001538403,0.0023270466,0.000034515324,0.0000403532,0.0010590465,0.00066917937,0.0036550835,0.014633097,0.9636497,0.013662707,0.00005560001],"about_ca_topic_score_codex":0.00028266103,"about_ca_topic_score_gemma":0.00022823473,"teacher_disagreement_score":0.0034423987,"about_ca_system_score_codex":0.00059866393,"about_ca_system_score_gemma":0.000695354,"threshold_uncertainty_score":0.01215744},"labels":[],"label_agreement":null},{"id":"W2090095148","doi":"10.1142/s0219498808003120","title":"MODULAR REDUCTION OF THE STEINBERG LATTICE OF THE GENERAL LINEAR GROUP","year":2008,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","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":"University of Regina","funders":"","keywords":"Modular design; Multiplicity (mathematics); Reduction (mathematics); Mathematics; General linear group; Lattice (music); Pure mathematics; Dimensional reduction; Algebra over a field; Computer science; Physics; Mathematical analysis; Symmetric group; Mathematical physics; Geometry","score_opus":0.034693752929838034,"score_gpt":0.2949135661830601,"score_spread":0.2602198132532221,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090095148","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":[0.9071761,0.00037127652,0.041994724,0.00079179904,0.0002048607,0.00004959596,0.00010941628,0.00023373704,0.049068518],"genre_scores_gemma":[0.9783781,0.00015078683,0.006213106,0.00011494331,0.0001648067,0.000026735326,0.0001312352,0.000051911335,0.014768397],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99947184,0.00010155431,0.000018530414,0.00009936893,0.00015073706,0.00015800152],"domain_scores_gemma":[0.9997303,0.00004177961,0.000045780624,0.000038394228,0.000038631053,0.000105147476],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058838696,0.0006734366,0.0007626353,0.0010379179,0.0014170646,0.0021223633,0.00063702516,0.00048627553,0.004342308],"category_scores_gemma":[0.00088161,0.0002888812,0.0010335541,0.0004450071,0.00274702,0.0019798751,0.001620974,0.0014485167,0.0006424136],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016809016,0.000079042366,0.0008127046,0.000052665666,0.000023991608,0.0004131795,0.0004938923,0.0039175632,0.007880892,0.9767992,0.0011321804,0.008226684],"study_design_scores_gemma":[0.0000598918,0.00011074988,0.00097601797,0.000013042676,0.000019360794,0.00040474403,0.00019850275,0.015882635,0.006308461,0.9718677,0.004122769,0.000036089823],"about_ca_topic_score_codex":0.0011556058,"about_ca_topic_score_gemma":0.0011948489,"teacher_disagreement_score":0.004342308,"about_ca_system_score_codex":0.0011999552,"about_ca_system_score_gemma":0.0007618687,"threshold_uncertainty_score":0.014526486},"labels":[],"label_agreement":null},{"id":"W2092048937","doi":"10.1142/s0219498813501260","title":"JORDAN *-DERIVATIONS OF PRIME RINGS","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":24,"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 Science Council; Natural Sciences and Engineering Research Council of Canada; National Center for Theoretical Sciences","keywords":"Mathematics; Prime ring; Involution (esoterism); Prime (order theory); Quotient; Commutative ring; Combinatorics; Ring (chemistry); Commutative property; Pure mathematics; Chemistry","score_opus":0.026513134847422466,"score_gpt":0.30250097708559776,"score_spread":0.2759878422381753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2092048937","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":[0.6048513,0.0032445178,0.15192866,0.0013590256,0.0005016351,0.00010688508,0.00028449108,0.00037116543,0.23735234],"genre_scores_gemma":[0.94691473,0.0011279306,0.025720716,0.00025317652,0.00033180392,0.000034433797,0.00015138276,0.0000628419,0.025403017],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993772,0.00017040553,0.00004321201,0.0000916404,0.00020748688,0.00011003667],"domain_scores_gemma":[0.99907994,0.00022253918,0.00012016841,0.00008801684,0.00030774673,0.00018159136],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009398781,0.00031414643,0.00028827452,0.00057085627,0.0008245225,0.0010060497,0.00037446935,0.0002186676,0.004030734],"category_scores_gemma":[0.0017551148,0.00024428102,0.00035163917,0.0004109447,0.0018288541,0.00203177,0.0017525401,0.0009977601,0.0015639703],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000527727,0.000029595689,0.00051659305,0.00006762475,0.000009952322,0.00031527242,0.0005698142,0.00081580866,0.0034968671,0.9788954,0.0013411485,0.0138890445],"study_design_scores_gemma":[0.000028567538,0.00009886664,0.000770739,0.000024959763,0.000011524335,0.0007615428,0.0002506674,0.0037592312,0.008196337,0.9546802,0.031395584,0.000021777396],"about_ca_topic_score_codex":0.00016651094,"about_ca_topic_score_gemma":0.00018353714,"teacher_disagreement_score":0.004030734,"about_ca_system_score_codex":0.0004389058,"about_ca_system_score_gemma":0.00047274152,"threshold_uncertainty_score":0.01348412},"labels":[],"label_agreement":null},{"id":"W2092354042","doi":"10.1142/s0219498815500024","title":"Finite commutative rings with higher genus unit graphs","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":18,"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; Natural Science Foundation of Guangxi Province; National Natural Science Foundation of China","keywords":"Mathematics; Combinatorics; Commutative ring; Vertex (graph theory); Isomorphism (crystallography); Unit (ring theory); Graph; Discrete mathematics; Genus; Commutative property; Chemistry; Crystallography","score_opus":0.030289507316525712,"score_gpt":0.27818665354361166,"score_spread":0.24789714622708595,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2092354042","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":[0.9830813,0.0002464689,0.008256166,0.000046638157,0.000009709289,0.000009200323,0.000059524384,0.00009401295,0.008196962],"genre_scores_gemma":[0.9967944,0.00012218278,0.0022997512,0.000015474756,0.000012247636,0.000007708077,0.000061375584,0.000012132697,0.00067485427],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995858,0.00007470104,0.000025946532,0.00008126845,0.00007700735,0.00015525472],"domain_scores_gemma":[0.9986492,0.00051407097,0.00035697263,0.00015622236,0.00007065238,0.0002529773],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040646456,0.00032576083,0.0003673741,0.0014365955,0.0005969873,0.0014713618,0.0005908247,0.00038066957,0.0025044482],"category_scores_gemma":[0.0015612667,0.00023059994,0.0004420364,0.00063975214,0.0015422308,0.0019643996,0.0012483239,0.0005518069,0.000231037],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002837899,0.00010540681,0.011884874,0.00015316474,0.00004198335,0.0012603292,0.001901916,0.008183692,0.017683154,0.93152326,0.00088756235,0.026090914],"study_design_scores_gemma":[0.000095793264,0.00021341727,0.03446013,0.000113751776,0.0001679801,0.0035002634,0.002580765,0.030444447,0.03175984,0.8803792,0.016184505,0.000099879006],"about_ca_topic_score_codex":0.0005513936,"about_ca_topic_score_gemma":0.00044580043,"teacher_disagreement_score":0.0025044482,"about_ca_system_score_codex":0.0005203692,"about_ca_system_score_gemma":0.00020181572,"threshold_uncertainty_score":0.008378208},"labels":[],"label_agreement":null},{"id":"W2092677430","doi":"10.1142/s0219498816500298","title":"Classification of linked indecomposable modules of a family of solvable Lie algebras over an arbitrary field of characteristic 0","year":2015,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Advanced Topics in Algebra","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; Consejo Nacional de Investigaciones Científicas y Técnicas","keywords":"Indecomposable module; Mathematics; Lie algebra; Nilpotent; Combinatorics; Field (mathematics); Abelian group; Space (punctuation); Series (stratigraphy); Algebra over a field; Pure mathematics","score_opus":0.07860344399928222,"score_gpt":0.3628218571736185,"score_spread":0.28421841317433627,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2092677430","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":[0.9951336,0.00017805597,0.003202218,0.000051781666,0.000005172587,0.000008959258,0.00004207155,0.000026152382,0.0013520068],"genre_scores_gemma":[0.99590945,0.00020185992,0.0018699843,0.000019221576,0.000029730783,0.000016396725,0.00029337942,0.000007802483,0.001652279],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99972266,0.00003480751,0.000026503501,0.00006858402,0.000072616305,0.00007492346],"domain_scores_gemma":[0.9993036,0.00011442197,0.00023676721,0.00003581755,0.00006543986,0.00024399663],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033409984,0.00037528257,0.00034488854,0.0034491774,0.000877462,0.0013308281,0.0005480113,0.00037314816,0.0014331534],"category_scores_gemma":[0.0010680453,0.0002394388,0.00038757993,0.00093963044,0.0012803839,0.0016111088,0.0010320732,0.00042961657,0.00015326485],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008151744,0.0005749214,0.16137172,0.0004486331,0.00025465444,0.0045502973,0.0075586913,0.010831915,0.0588941,0.6600732,0.002534404,0.09209226],"study_design_scores_gemma":[0.00016216507,0.0008387254,0.114591785,0.0002711493,0.0002548637,0.00876293,0.0034744118,0.06468911,0.028900858,0.7567198,0.021140115,0.00019403695],"about_ca_topic_score_codex":0.00032237105,"about_ca_topic_score_gemma":0.00027373707,"teacher_disagreement_score":0.0034491774,"about_ca_system_score_codex":0.00053898315,"about_ca_system_score_gemma":0.00031698975,"threshold_uncertainty_score":0.004794419},"labels":[],"label_agreement":null},{"id":"W2094168838","doi":"10.1142/s0219498811005105","title":"I-COMPACT RIGHT CHAIN DOMAINS","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"","keywords":"Mathematics; Valuation ring; Krull dimension; Valuation (finance); Commutative ring; Minimal ideal; Associated prime; Invariant (physics); Regular local ring; Pure mathematics; Discrete mathematics; Prime (order theory); Ideal (ethics); Commutative property; Maximal ideal; Combinatorics; Noetherian; Algebra over a field; Field (mathematics)","score_opus":0.03908584576356859,"score_gpt":0.27949475324135126,"score_spread":0.24040890747778265,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2094168838","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":[0.9147884,0.0016164999,0.045273796,0.00023001217,0.0000321029,0.000057476234,0.00027821097,0.00009531944,0.037628155],"genre_scores_gemma":[0.98665446,0.00038794914,0.008555927,0.000045535602,0.00004078248,0.000028836132,0.00030619345,0.000011353975,0.003969062],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99941444,0.000067914574,0.00005219731,0.00015961078,0.00019054455,0.00011537169],"domain_scores_gemma":[0.998531,0.0002961815,0.00038283566,0.00015387956,0.00030504962,0.00033102752],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065545423,0.00025934956,0.00034285762,0.0012971337,0.0005819347,0.0018868309,0.00031880912,0.00032030928,0.002334264],"category_scores_gemma":[0.0013993963,0.00014645669,0.0002953832,0.00051410275,0.0024115695,0.003444935,0.0018527834,0.0007192841,0.0003057253],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016136175,0.00006654312,0.008065003,0.00015248137,0.000020611722,0.00034684682,0.0010217407,0.0026794067,0.013357862,0.9533665,0.0005486341,0.020212945],"study_design_scores_gemma":[0.000115652496,0.00049580424,0.018202832,0.00026102242,0.00005325078,0.0026947993,0.0031758598,0.027812174,0.030871874,0.88439083,0.031855535,0.000070304035],"about_ca_topic_score_codex":0.0003693957,"about_ca_topic_score_gemma":0.00020248242,"teacher_disagreement_score":0.002334264,"about_ca_system_score_codex":0.0006505524,"about_ca_system_score_gemma":0.0003850185,"threshold_uncertainty_score":0.0078089237},"labels":[],"label_agreement":null},{"id":"W2095273393","doi":"10.1142/s0219498815500048","title":"On *-clean group rings","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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; Brock University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Group ring; Cyclic group; Polynomial ring; Involution (esoterism); Commutative ring; Pure mathematics; Principal ideal ring; Cyclotomic polynomial; Factorization; Group algebra; Ring (chemistry); Algebra over a field; Commutative property; Group (periodic table); Combinatorics; Polynomial; Chemistry; Mathematical analysis; Abelian group; Law","score_opus":0.02059420235646917,"score_gpt":0.26984902273245603,"score_spread":0.24925482037598687,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2095273393","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":[0.66554457,0.010933102,0.23227994,0.003612224,0.0004293031,0.00013755423,0.0006606817,0.00040280283,0.08599988],"genre_scores_gemma":[0.9636208,0.0024130952,0.025632491,0.00027052124,0.00072998117,0.00005516241,0.000297984,0.00006200243,0.0069178543],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99817896,0.00046992904,0.00013355172,0.00038151784,0.0004208373,0.0004152137],"domain_scores_gemma":[0.9961003,0.001425253,0.0008149211,0.00072935695,0.0004951644,0.00043494836],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024852597,0.0005182474,0.00080123567,0.0020938723,0.002632917,0.002327086,0.00049421866,0.0008950735,0.0037853802],"category_scores_gemma":[0.0038101259,0.00061159005,0.0010831837,0.0014923562,0.0056587732,0.007690333,0.0033323476,0.001750985,0.00062437],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000085928055,0.000028786328,0.0011365335,0.000097348995,0.000016507878,0.00031255413,0.0005924485,0.0013009671,0.0025194748,0.9871602,0.00079996686,0.005949151],"study_design_scores_gemma":[0.000021991526,0.00008920867,0.0018207541,0.000038223836,0.000031374075,0.0006305583,0.00044177775,0.004082041,0.0030772574,0.97544724,0.014278124,0.000041511288],"about_ca_topic_score_codex":0.0006136666,"about_ca_topic_score_gemma":0.00038966665,"teacher_disagreement_score":0.0037853802,"about_ca_system_score_codex":0.00088022917,"about_ca_system_score_gemma":0.00046828698,"threshold_uncertainty_score":0.01314348},"labels":[],"label_agreement":null},{"id":"W2099453139","doi":"10.1142/s0219498812501241","title":"A CLASS OF ASSOCIATION SCHEMES IN WHICH ALL BASIS RELATIONS HAVE VALENCY 1 OR λ &gt; 2","year":2012,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Carleton University","funders":"","keywords":"Valency; Association scheme; Mathematics; Basis (linear algebra); Commutative property; Isomorphism (crystallography); Association (psychology); Order (exchange); Relation (database); Pure mathematics; Property (philosophy); Class (philosophy); Scheme (mathematics); Product (mathematics); Discrete mathematics; Combinatorics; Mathematical analysis; Computer science; Geometry; Data mining","score_opus":0.06272279105418209,"score_gpt":0.35174935599846985,"score_spread":0.28902656494428774,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2099453139","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":[0.89951354,0.000781187,0.061479643,0.00026009124,0.000114396666,0.00007523281,0.0003158217,0.00021011151,0.03724988],"genre_scores_gemma":[0.97965986,0.0002818995,0.013093808,0.000068532165,0.000072429764,0.00003725688,0.00035381495,0.000026389116,0.0064059547],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99888605,0.00015156799,0.00010653202,0.00028542907,0.00029659952,0.0002737442],"domain_scores_gemma":[0.99775237,0.0005892902,0.0005221011,0.0005539022,0.0002283797,0.0003539029],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00092562253,0.00028842737,0.0003830036,0.0014174938,0.0017702549,0.002059652,0.00051231694,0.000539912,0.0041316855],"category_scores_gemma":[0.0020923563,0.00028702177,0.00059661845,0.0013601927,0.0022437698,0.0037626638,0.002109957,0.0008599484,0.00054403616],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014151608,0.00006808937,0.008868583,0.00011729476,0.000031746047,0.00044624513,0.0009810805,0.0007832545,0.0064226924,0.9546172,0.001038579,0.026483811],"study_design_scores_gemma":[0.00008720638,0.0002671545,0.018053697,0.00012735577,0.0001027023,0.0044630016,0.0015846906,0.005293233,0.011618073,0.875726,0.08255718,0.00011973611],"about_ca_topic_score_codex":0.0005110764,"about_ca_topic_score_gemma":0.00041031154,"teacher_disagreement_score":0.0041316855,"about_ca_system_score_codex":0.00053934,"about_ca_system_score_gemma":0.00080538343,"threshold_uncertainty_score":0.01382184},"labels":[],"label_agreement":null},{"id":"W2103141452","doi":"10.1142/s0219498812501265","title":"STRONGLY CLEAN MATRICES OVER COMMUTATIVE LOCAL RINGS","year":2012,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"Natural Science Foundation of Zhejiang Province; Türkiye Bilimsel ve Teknolojik Araştırma Kurumu","keywords":"Mathematics; Idempotence; Generalization; Commutative algebra; Local ring; Commutative ring; Pure mathematics; Noncommutative ring; Ring (chemistry); Commutative property; Von Neumann regular ring; Algebra over a field; Combinatorics; Chemistry; Mathematical analysis","score_opus":0.02746183495070879,"score_gpt":0.30275366035412976,"score_spread":0.27529182540342095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2103141452","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":[0.57011193,0.0027125403,0.39736575,0.0009036003,0.00028892746,0.00010262424,0.0006251289,0.0005094051,0.027380098],"genre_scores_gemma":[0.9423601,0.0011053459,0.045791194,0.00020480313,0.0004233393,0.000082873674,0.00031306784,0.00008564449,0.009633692],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974981,0.0005687142,0.00022253823,0.0006381135,0.0007409616,0.0003315854],"domain_scores_gemma":[0.9945682,0.0012562863,0.0012932401,0.0010854272,0.0011010572,0.0006957574],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019995368,0.0005746528,0.000595642,0.0016010214,0.001661435,0.0027730246,0.00059554557,0.0005930592,0.0033300095],"category_scores_gemma":[0.0039671245,0.0006162205,0.0006361403,0.0012333591,0.0033333425,0.0057050227,0.0026238894,0.0013476029,0.0007165557],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012535784,0.000030859588,0.0014932802,0.00013579539,0.000042785825,0.00023291961,0.0009515757,0.0014755157,0.009983505,0.97363156,0.0009554709,0.010941296],"study_design_scores_gemma":[0.000022953729,0.00017558172,0.0022997267,0.0000373654,0.00006819605,0.0008146816,0.0005594992,0.0067309793,0.016355999,0.9520013,0.020874582,0.000059043196],"about_ca_topic_score_codex":0.0003867161,"about_ca_topic_score_gemma":0.00038682105,"teacher_disagreement_score":0.0033300095,"about_ca_system_score_codex":0.00053798663,"about_ca_system_score_gemma":0.0005611248,"threshold_uncertainty_score":0.0111400485},"labels":[],"label_agreement":null},{"id":"W2105665846","doi":"10.1142/s0219498807002107","title":"FULLY BOUNDED NOETHERIAN RINGS AND FROBENIUS EXTENSIONS","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Mount Allison University","keywords":"Mathematics; Morphism; Noetherian; Bounded function; Noetherian ring; Ring (chemistry); TRACE (psycholinguistics); Pure mathematics; Frobenius group; Frobenius algebra; Element (criminal law); Local ring; Commutative property; Discrete mathematics; Algebra over a field; Mathematical analysis; Algebra representation","score_opus":0.021875428908289574,"score_gpt":0.29996341140177657,"score_spread":0.278087982493487,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2105665846","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":[0.8430321,0.0019953842,0.069174215,0.00077466643,0.00008134946,0.0000309277,0.00017118455,0.00012848696,0.08461165],"genre_scores_gemma":[0.98559695,0.00043676968,0.0072148456,0.000056180754,0.000069184745,0.000016607537,0.000075039185,0.00001071,0.006523617],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99957496,0.000100148405,0.000024531166,0.00009234774,0.00011771895,0.00009029829],"domain_scores_gemma":[0.9993024,0.00017479407,0.0001499704,0.00012370781,0.00010339558,0.00014569826],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057987915,0.0002866031,0.00022587093,0.0005067825,0.00053161784,0.0010771604,0.00029605447,0.00030958967,0.0020832662],"category_scores_gemma":[0.0012497546,0.0001940275,0.0003257857,0.00037721262,0.0019324734,0.002844826,0.001306844,0.0006196771,0.00026998448],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035046633,0.000015018326,0.0005086551,0.000029003211,0.0000065941294,0.00018744849,0.00044400906,0.0011713482,0.0029673625,0.988361,0.00024182498,0.0060326722],"study_design_scores_gemma":[0.000017732684,0.000059445705,0.0016016059,0.000021764448,0.000008081789,0.00041375723,0.0002589666,0.0042448863,0.0025397555,0.9821508,0.008666942,0.000016148626],"about_ca_topic_score_codex":0.00075714866,"about_ca_topic_score_gemma":0.00057347916,"teacher_disagreement_score":0.0020832662,"about_ca_system_score_codex":0.0005369183,"about_ca_system_score_gemma":0.00033848116,"threshold_uncertainty_score":0.0069692135},"labels":[],"label_agreement":null},{"id":"W2107833717","doi":"10.1142/s0219498811005464","title":"ON A PROBLEM OF A. V. GRISHIN","year":2011,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","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":"Western University","funders":"","keywords":"Mathematics; Field (mathematics); Ideal (ethics); Integer (computer science); Combinatorics; Space (punctuation); Perfect field; Finitely-generated abelian group; Discrete mathematics; Physics; Pure mathematics; Computer science; Law","score_opus":0.05526290705362055,"score_gpt":0.32856076448110827,"score_spread":0.2732978574274877,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2107833717","genre_codex":"commentary","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":[0.019354459,0.042106874,0.076366015,0.6520993,0.03260166,0.000074280695,0.0007292276,0.0007901971,0.17587802],"genre_scores_gemma":[0.5670465,0.033906307,0.061868418,0.13539517,0.06420757,0.00038943643,0.001136542,0.0020391596,0.134011],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99541724,0.0018250088,0.00018328647,0.0010928896,0.0010113891,0.00047012125],"domain_scores_gemma":[0.9903831,0.006731804,0.00032097558,0.000834241,0.0011249827,0.00060486706],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0057750093,0.001114348,0.0022423752,0.0018649527,0.006084589,0.004134567,0.0026466553,0.0066467933,0.012715002],"category_scores_gemma":[0.021580288,0.0008834145,0.00129349,0.002147317,0.010938474,0.019235492,0.00678845,0.014168336,0.0047692773],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006261066,0.000051756047,0.00019556032,0.0000931147,0.0000164972,0.000103547696,0.00029885836,0.00054840784,0.00009679027,0.89162123,0.096901156,0.010010526],"study_design_scores_gemma":[0.000033892615,0.000022191818,0.00012150881,0.000069804264,0.0000054461298,0.00013634127,0.0001226293,0.00091746607,0.0001266777,0.90711564,0.09130551,0.000022989121],"about_ca_topic_score_codex":0.0026808556,"about_ca_topic_score_gemma":0.0011180994,"teacher_disagreement_score":0.012715002,"about_ca_system_score_codex":0.004156917,"about_ca_system_score_gemma":0.0027620331,"threshold_uncertainty_score":0.04253596},"labels":[],"label_agreement":null},{"id":"W2108611868","doi":"10.1142/s0219498802000252","title":"ON SEMIREGULAR NILPOTENT ORBITS IN SIMPLE LIE ALGEBRAS OF TYPE <b>D</b>","year":2002,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Cartan subalgebra; Lie algebra; Subalgebra; Type (biology); Simple (philosophy); Nilpotent; Basis (linear algebra); Orbit (dynamics); Intersection (aeronautics); Pure mathematics; Combinatorics; Algebra over a field; Lie conformal algebra; Adjoint representation of a Lie algebra; Geometry","score_opus":0.03386690970890335,"score_gpt":0.2958229717586078,"score_spread":0.26195606204970445,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2108611868","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":[0.8823781,0.0007374052,0.072804935,0.00032897442,0.00014003523,0.00006805008,0.00018245829,0.00016961759,0.043190494],"genre_scores_gemma":[0.98206115,0.00040788224,0.012115089,0.0000733401,0.000100012665,0.000044675733,0.00012709225,0.000042565254,0.005028197],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99968505,0.000069530826,0.000016322598,0.00004473439,0.0001236331,0.00006085466],"domain_scores_gemma":[0.9993001,0.00016030014,0.00022871475,0.00004868072,0.000103822385,0.00015833681],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005644559,0.0005507573,0.00058271864,0.003341671,0.0012953238,0.0016300994,0.0006499977,0.0007905373,0.0027384444],"category_scores_gemma":[0.001376722,0.00033859623,0.00043607823,0.0015313005,0.0028033613,0.0025593184,0.0015454635,0.0008271608,0.00085798115],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007361835,0.000027962767,0.0009429568,0.000079709505,0.000008396874,0.00045667385,0.0006853045,0.002368862,0.0032826033,0.98291636,0.00076050754,0.008397028],"study_design_scores_gemma":[0.000023576438,0.00004925805,0.001110599,0.00003408948,0.0000065447616,0.00030858326,0.0003182385,0.017132018,0.001711457,0.97708875,0.0021877543,0.00002903931],"about_ca_topic_score_codex":0.001300901,"about_ca_topic_score_gemma":0.0017389108,"teacher_disagreement_score":0.003341671,"about_ca_system_score_codex":0.0013629625,"about_ca_system_score_gemma":0.00045098292,"threshold_uncertainty_score":0.009889066},"labels":[],"label_agreement":null},{"id":"W2108905056","doi":"10.1142/s0219498816501486","title":"Rings in which every element is either a sum or a difference of a nilpotent and an idempotent","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":39,"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":"Mathematics; Idempotence; Matrix ring; Division ring; Ring (chemistry); Nilpotent; Pure mathematics; Noncommutative ring; Element (criminal law); Primitive ring; Unital; Reduced ring; Principal ideal ring; Abelian group; Commutative property; Algebra over a field; Commutative ring; Division (mathematics); Arithmetic; Chemistry; Invertible matrix; Law","score_opus":0.06152216526202526,"score_gpt":0.32040916747279036,"score_spread":0.2588870022107651,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2108905056","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":[0.30185047,0.0039643133,0.5910338,0.0009540024,0.001251731,0.00017804287,0.0008522134,0.00069010333,0.09922526],"genre_scores_gemma":[0.8719285,0.0011767811,0.09646804,0.00049151346,0.0008230254,0.0001609811,0.00047206454,0.00016445562,0.02831466],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986093,0.00031602388,0.0001504102,0.00031166105,0.00040197265,0.00021061348],"domain_scores_gemma":[0.9975963,0.0005236088,0.00057114667,0.0005723238,0.00044191146,0.00029467477],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016885817,0.00047142123,0.0005194081,0.001363402,0.0017782054,0.002503962,0.0008195247,0.00043866172,0.0040843287],"category_scores_gemma":[0.0029874486,0.0004033004,0.00072029175,0.00093834085,0.0031273554,0.005796577,0.0035967473,0.0015488465,0.001730214],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001680598,0.000030217503,0.00092876743,0.00015077936,0.00005615695,0.00039433577,0.0008609008,0.00066229893,0.009363563,0.97106254,0.0013045525,0.015017728],"study_design_scores_gemma":[0.000026192047,0.00013390744,0.00095129653,0.00003850235,0.000075339594,0.0011230462,0.00036713455,0.0021835004,0.012716554,0.9365362,0.045799177,0.00004924812],"about_ca_topic_score_codex":0.00019334992,"about_ca_topic_score_gemma":0.00025205043,"teacher_disagreement_score":0.0040843287,"about_ca_system_score_codex":0.00038283056,"about_ca_system_score_gemma":0.0005246341,"threshold_uncertainty_score":0.013663411},"labels":[],"label_agreement":null},{"id":"W2109498994","doi":"10.1142/s0219498813500692","title":"ON A FORMULA FOR THE PI-EXPONENT OF LIE ALGEBRAS","year":2013,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","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":"Vlaamse regering; Memorial University of Newfoundland; Fonds Wetenschappelijk Onderzoek","keywords":"Mathematics; Exponent; Lie algebra; Pure mathematics; Nilpotent; Automorphism; Hopf algebra; Lie group; Simple Lie group; Nilpotent group; Algebra over a field","score_opus":0.0534985842795777,"score_gpt":0.3410355020291383,"score_spread":0.2875369177495606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2109498994","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":[0.4328046,0.0038264322,0.38670832,0.0039198417,0.0017439063,0.0001828258,0.00048395828,0.0005041761,0.16982585],"genre_scores_gemma":[0.93506414,0.0018313103,0.045858663,0.00063566706,0.0014924918,0.00011009197,0.00027965495,0.00018128123,0.014546783],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994855,0.00008787271,0.00003668145,0.00007902192,0.00021282634,0.0000980693],"domain_scores_gemma":[0.9985073,0.0004992243,0.00021366266,0.00013800005,0.00045171686,0.00019007301],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013630431,0.00090816646,0.00077241566,0.0027877064,0.0012149903,0.0021745565,0.0008879001,0.0008365924,0.005639197],"category_scores_gemma":[0.006221773,0.00025186833,0.00058961526,0.0014011199,0.003129214,0.0061666006,0.0021668258,0.0024474475,0.0015428865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025222944,0.000019231362,0.0006376487,0.000055756533,0.000005823355,0.0002438592,0.00023340863,0.00065086444,0.0016079427,0.98583126,0.0010192215,0.009669668],"study_design_scores_gemma":[0.000014470683,0.000047510934,0.0005827235,0.000045759716,0.000009867161,0.0002822474,0.00009889992,0.006545476,0.0013904904,0.98487407,0.0060904045,0.000017968621],"about_ca_topic_score_codex":0.00035293036,"about_ca_topic_score_gemma":0.0003016729,"teacher_disagreement_score":0.005639197,"about_ca_system_score_codex":0.000986424,"about_ca_system_score_gemma":0.00044333827,"threshold_uncertainty_score":0.01886499},"labels":[],"label_agreement":null},{"id":"W2113235275","doi":"10.1142/s0219498815501182","title":"On B(4, 14) non-2-groups","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brock University","funders":"","keywords":"Mathematics; Group (periodic table); Combinatorics; Characterization (materials science); Element (criminal law); Discrete mathematics; Algebra over a field; Pure mathematics; Chemistry; Physics","score_opus":0.030232307883453834,"score_gpt":0.3214647559232776,"score_spread":0.2912324480398238,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2113235275","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":[0.82802814,0.0018378656,0.08121442,0.0027022555,0.00025985984,0.00009645094,0.0004152517,0.000093979295,0.08535179],"genre_scores_gemma":[0.95647335,0.0008060102,0.026324734,0.00039350713,0.00041555028,0.00012358314,0.0006425935,0.000042269017,0.014778368],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986228,0.00048555003,0.00008207945,0.0002872638,0.00024355849,0.00027881702],"domain_scores_gemma":[0.9978873,0.0009146418,0.000489991,0.00017694374,0.00021327456,0.00031785696],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013044538,0.0009609542,0.0008692362,0.0022930498,0.002260529,0.0024179122,0.00094714103,0.0011089441,0.0057101366],"category_scores_gemma":[0.001867054,0.00033365807,0.00066341215,0.0017382634,0.0041153156,0.005670774,0.00267377,0.0017165894,0.00087368983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013395149,0.00006965302,0.0009866438,0.000110866094,0.000013823672,0.0002850612,0.00063614943,0.003250646,0.0018453451,0.98322684,0.0011878728,0.008253106],"study_design_scores_gemma":[0.000027325368,0.00009585089,0.0008413492,0.00003419292,0.000008850022,0.0002713511,0.00039001938,0.0050636693,0.000881172,0.9853035,0.0070607737,0.000022036727],"about_ca_topic_score_codex":0.00061259547,"about_ca_topic_score_gemma":0.000736684,"teacher_disagreement_score":0.0057101366,"about_ca_system_score_codex":0.0010404771,"about_ca_system_score_gemma":0.00052414474,"threshold_uncertainty_score":0.019102275},"labels":[],"label_agreement":null},{"id":"W2119438923","doi":"10.1142/s0219498815500486","title":"Additive maps having a generalized derivation expansion","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Topics in Algebra","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":"National Science Council; McMaster University; National Center for Theoretical Sciences","keywords":"Mathematics; Generalization; Prime ring; Centroid; Prime (order theory); Pure mathematics; Noether's theorem; Simple (philosophy); Algebra over a field; Ring (chemistry); Combinatorics; Mathematical analysis; Geometry; Lagrangian","score_opus":0.028091407097897012,"score_gpt":0.3077713851309847,"score_spread":0.27967997803308764,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2119438923","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":[0.5404678,0.0021323534,0.37110105,0.0008800179,0.00040272868,0.00008605629,0.00024606023,0.0008438509,0.08384014],"genre_scores_gemma":[0.94271904,0.00075359235,0.04103678,0.00024693075,0.00029034266,0.000046304795,0.00010692882,0.00009971967,0.014700296],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994199,0.00012611241,0.000038923587,0.00016354046,0.00015981164,0.00009170054],"domain_scores_gemma":[0.9994735,0.00011163326,0.00008071073,0.00010406635,0.0001306612,0.0000995009],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005445072,0.0004407077,0.00041799343,0.00080231746,0.0005533253,0.0010631664,0.00043186202,0.00036603745,0.0028541256],"category_scores_gemma":[0.0010530169,0.00018742801,0.0004686514,0.0006002946,0.0015786364,0.002259056,0.0018758551,0.0011891723,0.0011486597],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005077966,0.000027549666,0.0002948692,0.00007187833,0.000013527088,0.00046479295,0.0003697325,0.0010987069,0.013967033,0.967369,0.00051276106,0.015759435],"study_design_scores_gemma":[0.000035617453,0.00020974386,0.0010717497,0.000037856484,0.00004409218,0.0014358257,0.000279553,0.011508853,0.022788156,0.93122035,0.031300392,0.00006786456],"about_ca_topic_score_codex":0.00018501111,"about_ca_topic_score_gemma":0.00014713852,"teacher_disagreement_score":0.0028541256,"about_ca_system_score_codex":0.0003281432,"about_ca_system_score_gemma":0.00028551003,"threshold_uncertainty_score":0.009548068},"labels":[],"label_agreement":null},{"id":"W2121168471","doi":"10.1142/s0219498811004653","title":"FROM TRISECTIONS IN MODULE CATEGORIES TO QUASI-DIRECTED COMPONENTS","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Consejo Nacional de Investigaciones Científicas y Técnicas; Fundação de Amparo à Pesquisa do Estado de São Paulo; Université de Sherbrooke","keywords":"Computer science; Programming language","score_opus":0.051739541278110056,"score_gpt":0.2859045865862893,"score_spread":0.23416504530817925,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2121168471","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":[0.49791554,0.004073766,0.4402965,0.0006107,0.00023540719,0.00012672346,0.0002589437,0.0004416007,0.056040887],"genre_scores_gemma":[0.96007466,0.0013928314,0.029279167,0.00019057868,0.0002052439,0.00008852233,0.00015817513,0.00011072859,0.008500149],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99938166,0.00014014219,0.000051875715,0.00014749238,0.00018609696,0.00009273387],"domain_scores_gemma":[0.99853575,0.00043537898,0.00025189706,0.00018472223,0.00030822304,0.00028414288],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00091162126,0.00058747944,0.00032097538,0.0020121387,0.0010332632,0.0024625512,0.0007779585,0.000524154,0.003549322],"category_scores_gemma":[0.0021967334,0.00042191197,0.00052691984,0.001445943,0.0033499347,0.007040329,0.0024620688,0.0011592441,0.0004561652],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010223318,0.000005830607,0.00048014172,0.000041568357,0.000006172607,0.00012152428,0.000525659,0.00048380045,0.0013077557,0.99339175,0.00015034796,0.0034753],"study_design_scores_gemma":[0.000009849859,0.00005137876,0.0009753524,0.000031839885,0.00002139862,0.0006672189,0.0006080441,0.0040537436,0.0035345796,0.97783226,0.012185681,0.000028595223],"about_ca_topic_score_codex":0.00057294156,"about_ca_topic_score_gemma":0.000570257,"teacher_disagreement_score":0.003549322,"about_ca_system_score_codex":0.0007561975,"about_ca_system_score_gemma":0.00046314675,"threshold_uncertainty_score":0.011873603},"labels":[],"label_agreement":null},{"id":"W2124663376","doi":"10.1142/s0219498810004282","title":"JORDAN ISOMORPHISMS OF RADICAL FINITARY MATRIX RINGS","year":2010,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":5,"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; McMaster University","keywords":"Finitary; Mathematics; Ring (chemistry); Associative property; Matrix ring; Pure mathematics; Matrix (chemical analysis); Noncommutative ring; Algebra over a field; Chemistry","score_opus":0.020911253074464897,"score_gpt":0.3186574754822568,"score_spread":0.2977462224077919,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2124663376","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":[0.85946614,0.00050308666,0.07112724,0.000465676,0.00014681864,0.00006122033,0.00012777532,0.00023163151,0.06787033],"genre_scores_gemma":[0.9736317,0.00026194679,0.009054008,0.00009557125,0.00017871296,0.000035146128,0.00013074608,0.000052552237,0.016559575],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993455,0.00013288874,0.000030756455,0.00012098861,0.00018811887,0.00018177895],"domain_scores_gemma":[0.99865997,0.00036792512,0.00024247734,0.00011985906,0.0002580646,0.00035166653],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000742343,0.0003675261,0.00032752776,0.0011549388,0.0012959463,0.0019365711,0.0005457581,0.0003580485,0.0075434414],"category_scores_gemma":[0.0019092471,0.0002518597,0.00046353473,0.0005979144,0.0018156541,0.0041291574,0.0015595542,0.001133839,0.00085331633],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000740409,0.000073741205,0.0007430114,0.000040554976,0.000008528996,0.00023486927,0.0008267698,0.0007498927,0.004753976,0.98478574,0.0005636879,0.0071451],"study_design_scores_gemma":[0.000038032795,0.00015675032,0.001075665,0.0000179363,0.000015641797,0.00061069004,0.00071468495,0.0073334714,0.008398086,0.9750958,0.006512235,0.000030904757],"about_ca_topic_score_codex":0.00030812266,"about_ca_topic_score_gemma":0.00035657678,"teacher_disagreement_score":0.0075434414,"about_ca_system_score_codex":0.0004980932,"about_ca_system_score_gemma":0.00035297358,"threshold_uncertainty_score":0.025235355},"labels":[],"label_agreement":null},{"id":"W2128174431","doi":"10.1142/s0219498807002168","title":"THE pp CONJECTURE FOR SPACES OF ORDERINGS OF RATIONAL CONICS","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Differential Equations and Dynamical Systems","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 Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjecture; Counterexample; Conic section; Rational function; Combinatorics; Field (mathematics); Space (punctuation); Subspace topology; Product (mathematics); Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.02151080537664972,"score_gpt":0.3199648066355018,"score_spread":0.2984540012588521,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2128174431","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":[0.80041057,0.0015384933,0.11386052,0.007722015,0.0003444258,0.00005686699,0.000602956,0.00035865165,0.075105436],"genre_scores_gemma":[0.9874286,0.0004241807,0.0068003316,0.0004140863,0.00029558386,0.000040622956,0.00042811956,0.00003239906,0.0041359677],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99876523,0.00030990012,0.00008521409,0.00024635062,0.00036513573,0.00022813739],"domain_scores_gemma":[0.99759585,0.0012423884,0.00026293923,0.00040305295,0.00029145414,0.0002043029],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011682893,0.0004941885,0.0007079995,0.0012169142,0.0018299678,0.0028048053,0.00083396037,0.0012095222,0.006277361],"category_scores_gemma":[0.0047172406,0.00026889093,0.0007955737,0.0014077398,0.0051926947,0.009248995,0.0037818877,0.0025454708,0.00029937678],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039594248,0.000011973892,0.0005965184,0.00004023825,0.000005260944,0.00014241734,0.00025245844,0.0007995021,0.00029021595,0.99354255,0.0008524668,0.0034268324],"study_design_scores_gemma":[0.000011184671,0.000021279053,0.00041594138,0.000011415803,0.000003854158,0.00016402698,0.00017557699,0.002963232,0.00036430877,0.993887,0.0019751734,0.0000070776414],"about_ca_topic_score_codex":0.00061346544,"about_ca_topic_score_gemma":0.00031506963,"teacher_disagreement_score":0.006277361,"about_ca_system_score_codex":0.0006542737,"about_ca_system_score_gemma":0.00040031387,"threshold_uncertainty_score":0.020999849},"labels":[],"label_agreement":null},{"id":"W2131692926","doi":"10.1142/s0219498810003896","title":"ON B(4,k) GROUPS","year":2010,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Finite Group Theory Research","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":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Group (periodic table); Chemistry","score_opus":0.03395707112540674,"score_gpt":0.33632838093352674,"score_spread":0.30237130980812,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2131692926","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":[0.7505199,0.003565453,0.09573973,0.0016171996,0.00035101775,0.00015776228,0.00063860154,0.00016920161,0.14724123],"genre_scores_gemma":[0.9548423,0.0015561036,0.024389379,0.00040620496,0.00051173905,0.00020461746,0.00073550816,0.000050552615,0.017303608],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99810743,0.0005784631,0.00016252101,0.00037401938,0.00035785956,0.00041965095],"domain_scores_gemma":[0.99781007,0.00072605093,0.0005704132,0.0002456051,0.0002965155,0.00035138952],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013881669,0.0009162653,0.0006302816,0.0038847185,0.0021051674,0.0026816272,0.0005115011,0.0009459475,0.005377863],"category_scores_gemma":[0.0023652979,0.00035101402,0.00051583303,0.0027894287,0.004682887,0.0063167405,0.002916034,0.0012657781,0.0014263586],"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":[0.00024359512,0.00004481996,0.0012896768,0.00010809159,0.000011855241,0.00026273585,0.0016793571,0.0023796416,0.0052218884,0.9708601,0.0014346791,0.016463613],"study_design_scores_gemma":[0.0000313976,0.00014827422,0.0016478096,0.00007922798,0.00001306131,0.00040568347,0.00088524615,0.0049421117,0.0019933886,0.97060704,0.019194957,0.000051901137],"about_ca_topic_score_codex":0.00090828666,"about_ca_topic_score_gemma":0.0006455431,"teacher_disagreement_score":0.005377863,"about_ca_system_score_codex":0.0011146988,"about_ca_system_score_gemma":0.0004857768,"threshold_uncertainty_score":0.017990708},"labels":[],"label_agreement":null},{"id":"W2144460980","doi":"10.1142/s0219498811005798","title":"GAUGE DEFORMATIONS FOR HOPF ALGEBRAS WITH THE DUAL CHEVALLEY PROPERTY","year":2011,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","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":"Mount Allison University","funders":"Natural Sciences and Engineering Research Council of Canada; Università degli Studi di Ferrara","keywords":"Hopf algebra; Bialgebra; Bosonization; Mathematics; Zero (linguistics); Quasitriangular Hopf algebra; Gauge theory; Dual (grammatical number); Duality (order theory); Pure mathematics; Mathematical physics; Physics; Algebra over a field; Division algebra; Filtered algebra; Quantum mechanics","score_opus":0.048344484294934986,"score_gpt":0.2861027279046372,"score_spread":0.2377582436097022,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2144460980","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":[0.8797805,0.00080858,0.054022495,0.0012676044,0.00021111798,0.00006734775,0.00014061343,0.0001527368,0.063549004],"genre_scores_gemma":[0.9873569,0.0002723557,0.0050218347,0.00012976318,0.00017067773,0.00003787819,0.00009278259,0.000021800044,0.006896066],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966896,0.00007520593,0.000016712465,0.00006472697,0.00010214271,0.0000722499],"domain_scores_gemma":[0.9996358,0.00008918304,0.00007366641,0.00004283467,0.000037501177,0.00012099872],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006752612,0.00044884303,0.00045417587,0.0012333327,0.0012351755,0.0020758968,0.00043936732,0.0007485196,0.0037661793],"category_scores_gemma":[0.0010751684,0.00029973776,0.0006090039,0.00074062875,0.0024234278,0.0033262197,0.0019533862,0.0014282593,0.00042471127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036845737,0.000024563802,0.00029366137,0.000014092721,0.0000048688653,0.00011032674,0.00013940744,0.0006890748,0.0019561981,0.9939248,0.00022750748,0.0025786983],"study_design_scores_gemma":[0.000026950771,0.000025874047,0.00035578193,0.000006084787,0.000005237446,0.0001459412,0.000082513885,0.0048077283,0.0007446881,0.9926885,0.0010999643,0.000010739699],"about_ca_topic_score_codex":0.0004942493,"about_ca_topic_score_gemma":0.000556464,"teacher_disagreement_score":0.0037661793,"about_ca_system_score_codex":0.0009398704,"about_ca_system_score_gemma":0.00044388272,"threshold_uncertainty_score":0.012599111},"labels":[],"label_agreement":null},{"id":"W2145871751","doi":"10.1142/s0219498815500139","title":"Maximal subalgebras for Lie superalgebras of Cartan type","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","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":"Western University","funders":"","keywords":"Mathematics; Isomorphism (crystallography); Pure mathematics; Cartan matrix; Type (biology); Constructive; Cartan decomposition; Lie superalgebra; Dimension (graph theory); Kac–Moody algebra; Field (mathematics); Lie algebra; Algebra over a field; Fundamental representation; Adjoint representation of a Lie algebra; Weight; Affine Lie algebra","score_opus":0.028264458468152,"score_gpt":0.2981988866862572,"score_spread":0.2699344282181052,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2145871751","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":[0.9092328,0.0010933989,0.046174094,0.00037423905,0.00006551168,0.00004720623,0.00014858542,0.00013324447,0.042731095],"genre_scores_gemma":[0.98274523,0.0003170241,0.011275424,0.00004553383,0.00005761293,0.000028635372,0.00016974418,0.000015720698,0.0053450493],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999622,0.00008800951,0.0000258669,0.00004163357,0.00014587057,0.00007667093],"domain_scores_gemma":[0.9995314,0.00010161665,0.00010738571,0.00004349061,0.00011268897,0.00010344117],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045672018,0.00031047696,0.00025635742,0.0016096283,0.0015021303,0.0011454991,0.00034759342,0.00024919902,0.0022958706],"category_scores_gemma":[0.00090747396,0.00021914745,0.00048843015,0.00070739386,0.0015881389,0.0015967756,0.0007718035,0.0005814665,0.0003546114],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000337102,0.000019870382,0.0018668645,0.0000573221,0.000013107544,0.00024953118,0.0007018082,0.0011363666,0.005679501,0.9812013,0.0004274365,0.0086131375],"study_design_scores_gemma":[0.0000091610655,0.000029706178,0.0022832998,0.000038184724,0.000024132856,0.0005465129,0.0006797381,0.007017937,0.0056437785,0.9773203,0.006384565,0.000022682245],"about_ca_topic_score_codex":0.00081901136,"about_ca_topic_score_gemma":0.0011213052,"teacher_disagreement_score":0.0022958706,"about_ca_system_score_codex":0.0008393344,"about_ca_system_score_gemma":0.0006600963,"threshold_uncertainty_score":0.0076804757},"labels":[],"label_agreement":null},{"id":"W2148706510","doi":"10.1142/s0219498806002009","title":"TRIVIAL TORSION UNITS IN G-ADAPTED GROUP RINGS","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Brock University; University of Regina","funders":"","keywords":"Mathematics; Torsion (gastropod); Group ring; Quaternion; Pure mathematics; Combinatorics; Group (periodic table); Geometry; Physics","score_opus":0.041410078758553556,"score_gpt":0.30493895606417926,"score_spread":0.2635288773056257,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2148706510","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":[0.93263876,0.0011230259,0.043731783,0.00034171238,0.0001230752,0.000034411638,0.00008747002,0.00015758275,0.021762202],"genre_scores_gemma":[0.99298495,0.00018333168,0.005087331,0.000052912586,0.00007571064,0.000017476546,0.00006304961,0.000020752925,0.0015143931],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989221,0.00032900184,0.000096674434,0.00022655242,0.00016559572,0.00026006682],"domain_scores_gemma":[0.9983462,0.0005963912,0.00031800466,0.00019298978,0.00019689153,0.00034954867],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012357756,0.00044904096,0.0004900586,0.00093160314,0.0007236059,0.0019667784,0.0006939026,0.00053673814,0.0036937655],"category_scores_gemma":[0.0029374994,0.00029889622,0.00041889033,0.00059831084,0.0032033143,0.0040034465,0.0020648087,0.000793396,0.0005559434],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013116142,0.000035048488,0.001641177,0.00008192404,0.000018056837,0.0006343717,0.0007627288,0.0012767903,0.01036565,0.976598,0.00049165887,0.007963378],"study_design_scores_gemma":[0.00007676533,0.0002133585,0.0017865684,0.000030780444,0.000029586587,0.000586683,0.00082420354,0.0053305244,0.015420943,0.9718108,0.0038442984,0.000045464738],"about_ca_topic_score_codex":0.00024452756,"about_ca_topic_score_gemma":0.00021745899,"teacher_disagreement_score":0.0036937655,"about_ca_system_score_codex":0.0005870269,"about_ca_system_score_gemma":0.00038887473,"threshold_uncertainty_score":0.012356877},"labels":[],"label_agreement":null},{"id":"W2152294742","doi":"10.1142/s0219498803000404","title":"REPRESENTING Ω<sub>(l∞)</sub> FOR REAL ABELIAN FIELDS","year":2003,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic Geometry and Number Theory","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 Alberta","funders":"","keywords":"Mathematics; Iwasawa theory; Abelian group; Conjecture; Equivariant map; Algebraic number field; Prime (order theory); Real number; Pure mathematics; Order (exchange); Prime number; Equivalence (formal languages); Field (mathematics); Discrete mathematics; Combinatorics","score_opus":0.028045357151450484,"score_gpt":0.299021549802756,"score_spread":0.27097619265130557,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2152294742","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":[0.6920268,0.000609636,0.16062649,0.001846789,0.0005961437,0.00007863624,0.00028456768,0.00074146444,0.14318961],"genre_scores_gemma":[0.962711,0.00021883076,0.013888654,0.00022959286,0.0001823882,0.000037057413,0.0001569742,0.00015215493,0.022423374],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996307,0.00007734114,0.000018964289,0.000083218765,0.00007337933,0.000116421674],"domain_scores_gemma":[0.9993636,0.00013699639,0.00013994654,0.00016970588,0.00008860898,0.00010109912],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066171226,0.00049935555,0.0002615721,0.0011201004,0.00080012204,0.0026922491,0.0005904881,0.00056920166,0.008203438],"category_scores_gemma":[0.0014143041,0.00020631052,0.00042553621,0.00046766293,0.0022061435,0.0041762153,0.0022760266,0.0014731501,0.001788741],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000092464266,0.00003014659,0.0007227717,0.000056469955,0.000006130308,0.00031270535,0.00094905077,0.00062018225,0.0042479956,0.97868925,0.0013647921,0.012908168],"study_design_scores_gemma":[0.00003145425,0.00007514904,0.0008231447,0.000038836737,0.000012736851,0.00046567945,0.0006470747,0.0057316083,0.0054067206,0.9640555,0.022684531,0.000027608743],"about_ca_topic_score_codex":0.00027657475,"about_ca_topic_score_gemma":0.00024166697,"teacher_disagreement_score":0.008203438,"about_ca_system_score_codex":0.0009154271,"about_ca_system_score_gemma":0.00027316844,"threshold_uncertainty_score":0.02744329},"labels":[],"label_agreement":null},{"id":"W2154157897","doi":"10.1142/s0219498812501599","title":"MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS","year":2012,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":95,"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":"Automorphism; Injective function; Mathematics; Invariant (physics); Horizontal line test; Injective module; Divisible group; Pure mathematics; Discrete mathematics; Geometry; Cyclic group","score_opus":0.03945046491031283,"score_gpt":0.2802798820632766,"score_spread":0.24082941715296374,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2154157897","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":[0.8613964,0.0006755463,0.105799444,0.00015607839,0.000111400586,0.000057687084,0.000416456,0.00044846296,0.030938545],"genre_scores_gemma":[0.9795052,0.00045530518,0.009267026,0.00006974432,0.0001970508,0.000051234532,0.00049221306,0.000085180276,0.009877058],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99924195,0.000102202335,0.000058070866,0.00015948327,0.00022228064,0.0002159818],"domain_scores_gemma":[0.9982578,0.0004242358,0.00045985146,0.00033182054,0.0002591845,0.00026713664],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00069420255,0.00037999032,0.0003626784,0.0012080249,0.00041264153,0.0015470344,0.00044054407,0.00025814617,0.0030930114],"category_scores_gemma":[0.0019003693,0.00031510237,0.00067380315,0.0006984134,0.0019716674,0.0031520368,0.00101896,0.00061602355,0.0005735813],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015112324,0.00008989888,0.0068431296,0.00013369434,0.00008454163,0.00071380124,0.0012966722,0.0028581212,0.031201009,0.91817504,0.0010086688,0.037444353],"study_design_scores_gemma":[0.000056889745,0.00032118763,0.015708275,0.00004761397,0.00012944225,0.0023298962,0.00050193083,0.015261526,0.03458654,0.90673286,0.024216974,0.00010693871],"about_ca_topic_score_codex":0.00020883449,"about_ca_topic_score_gemma":0.00016623252,"teacher_disagreement_score":0.0030930114,"about_ca_system_score_codex":0.0003143858,"about_ca_system_score_gemma":0.00037146,"threshold_uncertainty_score":0.010347128},"labels":[],"label_agreement":null},{"id":"W2156136629","doi":"10.1142/s021949880500123x","title":"PYTHAGOREAN TRIPLES AND UNITS IN INTEGRAL GROUP RINGS","year":2005,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Mount Allison University","funders":"","keywords":"Mathematics; Dihedral group; Group (periodic table); Combinatorics; Hyperboloid; Pythagorean triple; Abelian group; Non-abelian group; Cyclic group; Group ring; Order (exchange); Automorphism; Integer (computer science); Pure mathematics; Pythagorean theorem; Geometry","score_opus":0.05646152749253354,"score_gpt":0.32855674287282244,"score_spread":0.2720952153802889,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2156136629","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":[0.71642685,0.0023245313,0.18287185,0.0011069742,0.00031166564,0.00009500956,0.0002265329,0.00035935448,0.096277334],"genre_scores_gemma":[0.9699897,0.00048309335,0.02232037,0.00008751383,0.00012055147,0.00004815848,0.00008438433,0.000048422364,0.0068177455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999345,0.00018431422,0.0000520142,0.00012429127,0.00018282024,0.00011139623],"domain_scores_gemma":[0.9995857,0.000114922404,0.000084557396,0.00009579242,0.000043490774,0.00007547455],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00080264173,0.00029247638,0.00051789876,0.0013207531,0.002221247,0.0022810793,0.0005128163,0.00046769058,0.0048360764],"category_scores_gemma":[0.0014872716,0.0003137603,0.0004939667,0.001168758,0.0043861456,0.0052733836,0.0024938234,0.001236981,0.0006961553],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027063083,0.000006605003,0.00015720428,0.00001891278,0.000003013836,0.0000696287,0.00038261784,0.00039060047,0.00054379617,0.99319756,0.0002469609,0.0049560727],"study_design_scores_gemma":[0.0000120483855,0.0000228422,0.00019699462,0.000011972971,0.0000068041777,0.00010766563,0.0002677354,0.0012949808,0.0012419954,0.9916563,0.0051707677,0.000009935261],"about_ca_topic_score_codex":0.0005869575,"about_ca_topic_score_gemma":0.00047881916,"teacher_disagreement_score":0.0048360764,"about_ca_system_score_codex":0.0008264844,"about_ca_system_score_gemma":0.00036035618,"threshold_uncertainty_score":0.01617831},"labels":[],"label_agreement":null},{"id":"W2166950142","doi":"10.1142/s0219498808002758","title":"CLEAN CLASSICAL RINGS OF QUOTIENTS OF COMMUTATIVE RINGS, WITH APPLICATIONS TO C(X)","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":false,"ca_institutions":"Concordia University; University of Ottawa","funders":"","keywords":"Mathematics; Idempotence; Commutative ring; Noncommutative ring; Pure mathematics; Ring (chemistry); Quotient; Commutative property; Unit (ring theory); Von Neumann regular ring; Local ring; Commutative algebra; Principal ideal ring; Category of rings; Discrete mathematics; Chemistry","score_opus":0.036619323090856595,"score_gpt":0.29430226118757735,"score_spread":0.25768293809672077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2166950142","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":[0.50873977,0.0721825,0.2742854,0.008117063,0.00148767,0.00017714415,0.0006643739,0.0002984559,0.13404761],"genre_scores_gemma":[0.9111639,0.011952125,0.06397951,0.00052627426,0.0016662269,0.000076188466,0.00019195398,0.000051657702,0.010392181],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991284,0.00032081292,0.00007212432,0.00021612867,0.00016719903,0.00009527804],"domain_scores_gemma":[0.99639684,0.0016580437,0.00063962303,0.0002598868,0.0005135003,0.00053212204],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019840836,0.0006451919,0.00066310016,0.002863031,0.002209955,0.0028807316,0.0004910298,0.00073006004,0.0023021246],"category_scores_gemma":[0.003786105,0.00037140865,0.00079170725,0.0025922982,0.0060809595,0.0067324787,0.0026126055,0.0016931044,0.00025494467],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003308663,0.00001598958,0.00095597154,0.000100298865,0.000014663396,0.00017166552,0.0006437337,0.00064169907,0.00090187404,0.9860029,0.0008687261,0.009649373],"study_design_scores_gemma":[0.000009415881,0.000087544184,0.0019096999,0.00004799835,0.00002783397,0.0005940703,0.0008536556,0.003536525,0.0017003592,0.97181904,0.0193814,0.00003243107],"about_ca_topic_score_codex":0.000854859,"about_ca_topic_score_gemma":0.0010428582,"teacher_disagreement_score":0.0028807316,"about_ca_system_score_codex":0.0010841603,"about_ca_system_score_gemma":0.00051507,"threshold_uncertainty_score":0.0104929805},"labels":[],"label_agreement":null},{"id":"W2169601018","doi":"10.1142/s0219498812501319","title":"ORIENTED INVOLUTIONS AND SKEW-SYMMETRIC ELEMENTS IN GROUP RINGS","year":2012,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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","funders":"Universidade de São Paulo; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Mathematics; Involution (esoterism); Subring; Combinatorics; Skew; Symmetric group; Homomorphism; Pure mathematics; Ring (chemistry); Physics","score_opus":0.04641024509762517,"score_gpt":0.33485160144708975,"score_spread":0.2884413563494646,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2169601018","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":[0.9102622,0.0025814455,0.05427537,0.0006719034,0.000111297704,0.000028606739,0.00010912149,0.000070311566,0.031889778],"genre_scores_gemma":[0.9866774,0.0009045193,0.009228657,0.00010123032,0.0002028432,0.000020251644,0.00009872306,0.000019160418,0.0027471606],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872905,0.00037871682,0.00011806887,0.0002273557,0.00030497953,0.00024172201],"domain_scores_gemma":[0.99812144,0.00072930055,0.00038635722,0.000254534,0.00020933103,0.0002990139],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014868552,0.00033391805,0.00045902203,0.0017096293,0.0011853278,0.002173944,0.0004931864,0.00052871165,0.0015876166],"category_scores_gemma":[0.0027098467,0.0003208579,0.0005610612,0.0013533199,0.0047575906,0.004001253,0.001587108,0.0008166746,0.00034857783],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060003633,0.000025322568,0.0015726275,0.000034170298,0.000008149577,0.00019845826,0.0009993017,0.00089461915,0.0023228698,0.9868128,0.00027724347,0.006794532],"study_design_scores_gemma":[0.0000149421285,0.000053423646,0.0011978776,0.00001962155,0.000012577256,0.00029268343,0.0006290787,0.0029877222,0.0027926385,0.98845184,0.003529391,0.00001825016],"about_ca_topic_score_codex":0.0005144113,"about_ca_topic_score_gemma":0.00044419614,"teacher_disagreement_score":0.002173944,"about_ca_system_score_codex":0.0008015697,"about_ca_system_score_gemma":0.00048455477,"threshold_uncertainty_score":0.007863343},"labels":[],"label_agreement":null},{"id":"W2181605084","doi":"10.1142/s0219498816501000","title":"Transfer of derived equivalences from subalgebras to endomorphism algebras","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Université de Sherbrooke; Bishop's University","funders":"","keywords":"Endomorphism; Mathematics; Idempotence; Pure mathematics; Class (philosophy); Construct (python library); Transfer (computing); Algebra over a field; Computer science","score_opus":0.06432885680836001,"score_gpt":0.3081526952175964,"score_spread":0.2438238384092364,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2181605084","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":[0.3951229,0.00041181289,0.553496,0.00037540105,0.0003977584,0.00021258337,0.00021349009,0.0005054549,0.049264513],"genre_scores_gemma":[0.91130865,0.00038253452,0.07516812,0.00022001662,0.00016840872,0.0001332149,0.00047603057,0.00021018372,0.011933002],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988896,0.00018979178,0.00007117789,0.00022154335,0.00048764344,0.00014020779],"domain_scores_gemma":[0.99903345,0.00019439912,0.00011000942,0.00018175581,0.00028885968,0.00019157716],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008465967,0.0003285708,0.000487197,0.0009820932,0.0012222566,0.001277856,0.0009810934,0.000603674,0.005655439],"category_scores_gemma":[0.0022877238,0.00027863283,0.0010881418,0.0005680838,0.0017522766,0.004939375,0.0024450703,0.0025219184,0.00089410774],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031783773,0.00006977905,0.00039765067,0.000043269483,0.000012874914,0.00035330362,0.0006825486,0.0009828217,0.0058960333,0.9786556,0.00033914723,0.012535244],"study_design_scores_gemma":[0.000021409664,0.00009497968,0.00059150974,0.000022512197,0.000023279366,0.00056041783,0.000536206,0.010685413,0.012098458,0.96526027,0.010077237,0.000028374885],"about_ca_topic_score_codex":0.0005215033,"about_ca_topic_score_gemma":0.00044678166,"teacher_disagreement_score":0.005655439,"about_ca_system_score_codex":0.00068666565,"about_ca_system_score_gemma":0.00047637167,"threshold_uncertainty_score":0.018919349},"labels":[],"label_agreement":null},{"id":"W2183627517","doi":"10.1142/s0219498816501899","title":"Class-preserving coleman automorphisms of permutational wreath products with 2-closed base groups","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Brock University","funders":"","keywords":"Mathematics; Wreath product; Centralizer and normalizer; Automorphism; Combinatorics; Order (exchange); Permutation group; Base (topology); Class (philosophy); Nilpotent; Nilpotent group; Group (periodic table); Permutation (music); Product (mathematics); Geometry; Mathematical analysis","score_opus":0.08506055704393549,"score_gpt":0.32239062178243766,"score_spread":0.23733006473850216,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2183627517","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":[0.82744676,0.00043185952,0.0890269,0.0002967186,0.00032901924,0.0001028043,0.0001448735,0.0004747991,0.08174627],"genre_scores_gemma":[0.9637836,0.00025609118,0.01542831,0.000110497254,0.00025361235,0.00008110369,0.0001826576,0.00017001692,0.019734137],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999154,0.00015393416,0.000055433582,0.00016259417,0.00023122254,0.00024288063],"domain_scores_gemma":[0.99899703,0.00024722272,0.00024911063,0.0001782393,0.0001161357,0.00021231841],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007238342,0.0006322107,0.0005026387,0.001266308,0.0012575638,0.0022596074,0.00058063713,0.0005029919,0.005269593],"category_scores_gemma":[0.0019233704,0.00040309457,0.0010429149,0.0005290252,0.0026471487,0.0034780356,0.0020001982,0.0012471089,0.00102325],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012855636,0.00006996732,0.0006167632,0.00004053547,0.000014564726,0.0003492562,0.000874533,0.0018622815,0.0063707517,0.9771627,0.00066182064,0.011848269],"study_design_scores_gemma":[0.00004102748,0.0001298313,0.0008168146,0.0000186534,0.000018684057,0.00036337937,0.00030153134,0.0059605553,0.009594218,0.9733334,0.009381197,0.000040729523],"about_ca_topic_score_codex":0.0007566697,"about_ca_topic_score_gemma":0.00060247094,"teacher_disagreement_score":0.005269593,"about_ca_system_score_codex":0.00092101673,"about_ca_system_score_gemma":0.0006497224,"threshold_uncertainty_score":0.01762855},"labels":[],"label_agreement":null},{"id":"W2188712683","doi":"10.1142/s0219498816501887","title":"Associative subalgebras of the octonians","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Universidade Federal do Rio de Janeiro","keywords":"Mathematics; Isomorphism (crystallography); Associative property; Invertible matrix; Context (archaeology); Dimension (graph theory); Algebra over a field; Pure mathematics","score_opus":0.0564163588665108,"score_gpt":0.3338931412551959,"score_spread":0.2774767823886851,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2188712683","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":[0.89773,0.0011947145,0.019864453,0.0004649945,0.00008534265,0.000021273268,0.00009690919,0.00004380722,0.08049857],"genre_scores_gemma":[0.9912367,0.00019575002,0.002986788,0.00006585764,0.00004716635,0.00001010474,0.0000641008,0.000004072247,0.005389442],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996853,0.000057811445,0.000022325356,0.000051079176,0.00008043864,0.00010315129],"domain_scores_gemma":[0.99962795,0.00006761833,0.0000829641,0.00002741813,0.00009873346,0.00009526806],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031334566,0.00017414088,0.00018638175,0.00087813026,0.0010531583,0.0012448877,0.0001818731,0.00019419352,0.001930056],"category_scores_gemma":[0.00075371796,0.00010444762,0.00024345536,0.00039087524,0.0018347289,0.0015670456,0.0009539711,0.000577761,0.00024479209],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040829014,0.000008386199,0.0009470497,0.000020908541,0.0000051895895,0.000064348205,0.0005297979,0.00035633935,0.0015609356,0.9909808,0.00032867808,0.0051567056],"study_design_scores_gemma":[0.000011008653,0.000050313673,0.003057763,0.000039771603,0.0000139876,0.0002327397,0.0007477379,0.0029704666,0.0029367737,0.974603,0.015318258,0.000018107152],"about_ca_topic_score_codex":0.0018059477,"about_ca_topic_score_gemma":0.0018754936,"teacher_disagreement_score":0.001930056,"about_ca_system_score_codex":0.0008424489,"about_ca_system_score_gemma":0.00043289096,"threshold_uncertainty_score":0.006456673},"labels":[],"label_agreement":null},{"id":"W2199503895","doi":"10.1142/s0219498816501504","title":"On *-clean non-commutative group rings","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada; Natural Science Foundation of Guangxi Province","keywords":"Mathematics; Group ring; Pure mathematics; Algebra over a field; Group (periodic table)","score_opus":0.040118487397397956,"score_gpt":0.3034328863667002,"score_spread":0.2633143989693022,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2199503895","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":[0.85150987,0.0045598205,0.09975322,0.000876875,0.00025952508,0.00008772828,0.0003236431,0.0002648768,0.04236439],"genre_scores_gemma":[0.9809543,0.0010742162,0.012203951,0.000111259425,0.00036433764,0.00004594194,0.00017747493,0.000043839525,0.005024727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99775153,0.00060940476,0.00018517731,0.00037110396,0.0006357175,0.00044704898],"domain_scores_gemma":[0.9961576,0.0010205146,0.0011097646,0.0006415983,0.00046306252,0.00060762744],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028077369,0.0007982346,0.0011376912,0.0026070708,0.0023866822,0.0031513327,0.0007457646,0.00065510883,0.003467422],"category_scores_gemma":[0.003214505,0.00071077805,0.000966775,0.002159324,0.0056041875,0.006888118,0.0029138334,0.0012839803,0.00084888045],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011744138,0.00004856683,0.00079166517,0.00009294693,0.000024627967,0.00034754825,0.00073058245,0.001598401,0.002850155,0.9875524,0.00032081635,0.005524804],"study_design_scores_gemma":[0.00003981074,0.00012606625,0.0014081718,0.000031574054,0.0000346116,0.00042865286,0.00033149877,0.0050419318,0.002730375,0.9843844,0.005398479,0.000044376782],"about_ca_topic_score_codex":0.0007222394,"about_ca_topic_score_gemma":0.0005188746,"teacher_disagreement_score":0.003467422,"about_ca_system_score_codex":0.0010029514,"about_ca_system_score_gemma":0.0006694091,"threshold_uncertainty_score":0.014848888},"labels":[],"label_agreement":null},{"id":"W2234953642","doi":"10.1142/s0219498818500111","title":"Graded Betti numbers of path ideals of cycles and lines","year":2017,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Commutative Algebra and Its Applications","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":"Dalhousie University","funders":"","keywords":"Betti number; Mathematics; Path (computing); Mathematical proof; Line (geometry); Projective test; Combinatorics; Pure mathematics; Computer science; Geometry","score_opus":0.06339853633777051,"score_gpt":0.3654093293583114,"score_spread":0.3020107930205409,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2234953642","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":[0.7383368,0.0012823272,0.1627546,0.00075308717,0.0003663012,0.000091754024,0.00066829013,0.00037284748,0.09537396],"genre_scores_gemma":[0.9713713,0.00046085747,0.019355066,0.00009266042,0.000275307,0.00006726745,0.00031899943,0.00010032041,0.00795826],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99941254,0.000059237394,0.000031160263,0.00013781188,0.00023291768,0.00012623856],"domain_scores_gemma":[0.9990036,0.00038487162,0.00014989253,0.000099507066,0.00015909027,0.00020303817],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00078754214,0.0006463527,0.0006849268,0.0037224265,0.0010854355,0.0024628218,0.0012229623,0.0005247179,0.0062836222],"category_scores_gemma":[0.004566545,0.00047526907,0.00059634616,0.0016033333,0.0027804703,0.005652852,0.0019987614,0.0020046341,0.00068644126],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006374052,0.000035258072,0.0026383402,0.000096156225,0.000019248437,0.00012816007,0.00039265724,0.0016467328,0.0033656808,0.97406775,0.0010008697,0.016545337],"study_design_scores_gemma":[0.0000107337955,0.000023440922,0.0021376985,0.00002459114,0.000017998402,0.00019031424,0.00009538486,0.008121376,0.0032106973,0.9831066,0.0030417293,0.000019411866],"about_ca_topic_score_codex":0.00056336325,"about_ca_topic_score_gemma":0.00076781685,"teacher_disagreement_score":0.0062836222,"about_ca_system_score_codex":0.0010522517,"about_ca_system_score_gemma":0.00026610846,"threshold_uncertainty_score":0.02102077},"labels":[],"label_agreement":null},{"id":"W2249732016","doi":"10.1142/s0219498816500845","title":"Leavitt path algebras satisfying a polynomial identity","year":2015,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Algebraic number; Combinatorics; Graph; Path (computing); Polynomial; Dimension (graph theory); Identity (music); Discrete mathematics; Finite graph; Zero (linguistics); Computer science","score_opus":0.08169201862838298,"score_gpt":0.3921109642519084,"score_spread":0.3104189456235254,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2249732016","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":[0.6466261,0.0006364823,0.17760113,0.0012099807,0.00018873415,0.000109798384,0.00060488225,0.0008280247,0.17219493],"genre_scores_gemma":[0.97059625,0.00020032888,0.012003524,0.00020960296,0.000079451755,0.00004305039,0.00029808917,0.00007645794,0.016493203],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992101,0.000110648136,0.00003770107,0.00015966901,0.00022493827,0.0002568753],"domain_scores_gemma":[0.9991116,0.00017336746,0.00016711284,0.000116076146,0.00027011018,0.00016167006],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005306888,0.00043386695,0.00055273937,0.0012156339,0.0014379451,0.0022682413,0.0006530439,0.0006287292,0.006168334],"category_scores_gemma":[0.0018973418,0.00024796423,0.0006403152,0.0009938338,0.002158305,0.004329705,0.0013630133,0.0012449672,0.0009441395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023066035,0.0000098695255,0.00016326885,0.000015141682,0.0000033137019,0.00006568434,0.000120553486,0.00059269165,0.00076901115,0.99545515,0.00046411535,0.002318177],"study_design_scores_gemma":[0.000012013923,0.000014381115,0.00019041394,0.000008569578,0.0000059104295,0.000118086005,0.00012250089,0.0057638963,0.0015312559,0.98816746,0.0040505854,0.000014945782],"about_ca_topic_score_codex":0.0021917378,"about_ca_topic_score_gemma":0.0014211459,"teacher_disagreement_score":0.006168334,"about_ca_system_score_codex":0.0015016568,"about_ca_system_score_gemma":0.0011270328,"threshold_uncertainty_score":0.020635128},"labels":[],"label_agreement":null},{"id":"W2280576574","doi":"10.1142/s0219498818500056","title":"Infinite groups admitting a faithful irreducible representation","year":2017,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"","keywords":"Faithful representation; Representation (politics); Irreducible representation; Mathematics; Pure mathematics; Algebra over a field; Political science; Law","score_opus":0.07184435082655982,"score_gpt":0.37593510239223876,"score_spread":0.30409075156567894,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2280576574","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":[0.9220567,0.00013403004,0.044235464,0.0007771928,0.00009522642,0.000042235482,0.00014890627,0.00028989994,0.03222039],"genre_scores_gemma":[0.9964373,0.00003482831,0.0019557541,0.000039621507,0.00006132054,0.000014236373,0.00010710475,0.000014103617,0.0013358615],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989962,0.0001581981,0.00008201295,0.0002078119,0.0002075754,0.00034812168],"domain_scores_gemma":[0.9934802,0.002902289,0.0009097903,0.0008561242,0.0005369248,0.0013146074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001243345,0.0005473507,0.00073700066,0.0012685528,0.0017765878,0.0027735073,0.0006294568,0.0012952683,0.004939286],"category_scores_gemma":[0.007178632,0.00033707666,0.0007436993,0.000630524,0.004787277,0.0034189764,0.0027612848,0.0014030802,0.00053037505],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000117600015,0.00007853875,0.0021286602,0.000071743074,0.000014562888,0.00071736274,0.00090227317,0.0015075515,0.0053497446,0.9832479,0.0005364126,0.0053277165],"study_design_scores_gemma":[0.00003541576,0.00014516775,0.0010378063,0.000029298151,0.000021493632,0.000615864,0.00072554854,0.006717229,0.0034324692,0.9850133,0.0021994319,0.000026944943],"about_ca_topic_score_codex":0.00033457956,"about_ca_topic_score_gemma":0.00041547022,"teacher_disagreement_score":0.004939286,"about_ca_system_score_codex":0.00056158367,"about_ca_system_score_gemma":0.00075269485,"threshold_uncertainty_score":0.01652354},"labels":[],"label_agreement":null},{"id":"W2344370623","doi":"10.1142/s0219498817500840","title":"Bouquets, vertex covers and edge ideals","year":2016,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Dalhousie University","funders":"","keywords":"Mathematics; Monomial; Square-free integer; Monomial ideal; Combinatorics; Vertex (graph theory); Ideal (ethics); Projective test; Characterization (materials science); Dimension (graph theory); Enhanced Data Rates for GSM Evolution; Discrete mathematics; Pure mathematics; Graph; Mathematical analysis","score_opus":0.030308554370011967,"score_gpt":0.3108369870485307,"score_spread":0.28052843267851874,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2344370623","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":[0.7767682,0.0026477196,0.11441949,0.0016808484,0.00036666615,0.00004554072,0.00046706016,0.00042265488,0.10318181],"genre_scores_gemma":[0.9826142,0.00050903426,0.007911222,0.0001162927,0.00026312796,0.000021876333,0.00018648071,0.000067616755,0.008310292],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996258,0.000045228167,0.00001292474,0.00008181364,0.000089406116,0.0001448366],"domain_scores_gemma":[0.99896264,0.00036566707,0.00012935846,0.00007698343,0.000088603236,0.00037674425],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042972123,0.0004936457,0.0005587467,0.0025793433,0.0017635302,0.0025589094,0.0007157759,0.0004770165,0.0053815655],"category_scores_gemma":[0.0012997382,0.00047231972,0.0004881388,0.0011950453,0.0030905849,0.003686686,0.0026157768,0.0019295141,0.0006208074],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056666533,0.000016797017,0.0009492063,0.000044424658,0.000008288841,0.00012235781,0.00021725196,0.00089735107,0.0025917124,0.9897054,0.0009847243,0.0044059237],"study_design_scores_gemma":[0.000014810148,0.00003934321,0.001712975,0.000021507823,0.000020742558,0.00034101243,0.00030177613,0.0082728,0.0033862803,0.9806147,0.005246835,0.000027115855],"about_ca_topic_score_codex":0.0007402301,"about_ca_topic_score_gemma":0.00091901154,"teacher_disagreement_score":0.0053815655,"about_ca_system_score_codex":0.000765331,"about_ca_system_score_gemma":0.00023868983,"threshold_uncertainty_score":0.018003106},"labels":[],"label_agreement":null},{"id":"W2369607096","doi":"10.1142/s0219498817500955","title":"A note on division algebras of dimension four","year":2016,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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 Toronto","funders":"","keywords":"Mathematics; Division algebra; Division (mathematics); Dimension (graph theory); Quaternion; Algebra over a field; Pure mathematics; Identity (music); Construct (python library); Quaternion algebra; Algebra representation; Arithmetic; Computer science; Geometry","score_opus":0.03591134906996006,"score_gpt":0.3247337419236112,"score_spread":0.28882239285365113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2369607096","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":[0.50273997,0.013678707,0.07059905,0.009390832,0.0024623757,0.00006362195,0.00021815418,0.0003792993,0.40046793],"genre_scores_gemma":[0.95658046,0.0036957972,0.019777462,0.001087399,0.0006156725,0.000030100991,0.000096504315,0.000037266527,0.01807939],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997125,0.00007952088,0.000020385369,0.00003501531,0.000099693134,0.000052835403],"domain_scores_gemma":[0.9996692,0.00011734445,0.00005076561,0.000047393904,0.000057583922,0.000057729965],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058417785,0.00033387792,0.00033938218,0.0006596734,0.0013113493,0.00112965,0.000542514,0.00039761697,0.0043726354],"category_scores_gemma":[0.0008540514,0.00015756603,0.0003699199,0.00074448506,0.0020963456,0.0023560894,0.0015657151,0.0010903099,0.00069501286],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020267667,0.00001401185,0.00035441428,0.000058008365,0.0000050316635,0.00024561526,0.00035354926,0.0006353253,0.0014723999,0.9892046,0.0015545059,0.0060822954],"study_design_scores_gemma":[0.000007960027,0.000031004536,0.00023113277,0.000026092708,0.0000048598386,0.0002585759,0.00013319895,0.0015392548,0.00090076827,0.9611619,0.035691977,0.000013156498],"about_ca_topic_score_codex":0.00079060433,"about_ca_topic_score_gemma":0.00068109646,"teacher_disagreement_score":0.0043726354,"about_ca_system_score_codex":0.0008730286,"about_ca_system_score_gemma":0.0005157418,"threshold_uncertainty_score":0.014627874},"labels":[],"label_agreement":null},{"id":"W2377383549","doi":"10.1142/s021949881750092x","title":"A commutativity condition on subsets of rings","year":2016,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Brock University","funders":"","keywords":"Mathematics; Noncommutative geometry; Commutative property; Ring (chemistry); Commutative ring; Pure mathematics; Combinatorics; Algebra over a field","score_opus":0.03285264544329926,"score_gpt":0.3071153777001858,"score_spread":0.2742627322568866,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2377383549","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":[0.573349,0.0031104288,0.23351973,0.0021659825,0.001183117,0.00030016733,0.0019440235,0.0010625153,0.18336502],"genre_scores_gemma":[0.9393677,0.00061143155,0.040399946,0.0005893739,0.0007537539,0.00036994382,0.0013010453,0.00020308788,0.016403843],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99535,0.0012182768,0.00077236147,0.0012653766,0.00082792935,0.000566015],"domain_scores_gemma":[0.98776186,0.005805506,0.0006523612,0.001871453,0.0028365452,0.0010723452],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00439408,0.0005341595,0.0013043061,0.0015963165,0.0032207952,0.004157213,0.00089571375,0.0010358528,0.012625389],"category_scores_gemma":[0.0073417104,0.00093210343,0.0012333591,0.0010816432,0.004701089,0.010100771,0.0029678815,0.0015640751,0.002092214],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002759243,0.000063074265,0.001179977,0.00015582396,0.000037705264,0.00034264964,0.0011935754,0.00027199753,0.0065185437,0.97936684,0.0017704036,0.00882356],"study_design_scores_gemma":[0.00014454505,0.0002533218,0.00207639,0.00012182608,0.00009081978,0.0014400947,0.0012223668,0.003884781,0.020525606,0.9262334,0.043918673,0.000088265886],"about_ca_topic_score_codex":0.00055129954,"about_ca_topic_score_gemma":0.00056439196,"teacher_disagreement_score":0.012625389,"about_ca_system_score_codex":0.00092033466,"about_ca_system_score_gemma":0.0010640596,"threshold_uncertainty_score":0.04223615},"labels":[],"label_agreement":null},{"id":"W2460772595","doi":"10.1142/s0219498817501353","title":"Nil-clean group rings","year":2016,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Guangxi Teachers Education University; Türkiye Bilimsel ve Teknolojik Araştırma Kurumu; National Natural Science Foundation of China","keywords":"Group ring; Mathematics; Ring (chemistry); Group (periodic table); Nilpotent; Abelian group; Commutative ring; Combinatorics; Algebra over a field; Commutative property; Pure mathematics; Physics; Chemistry; Quantum mechanics","score_opus":0.025470520253817183,"score_gpt":0.27428767956154554,"score_spread":0.24881715930772835,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2460772595","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":[0.32775572,0.01086649,0.420349,0.0044005536,0.0017509637,0.00037610024,0.0020942066,0.0034133738,0.22899362],"genre_scores_gemma":[0.9005304,0.002084828,0.058493856,0.000811054,0.0012072724,0.00018051194,0.0009101658,0.00034274248,0.03543923],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980732,0.00038525392,0.00015569125,0.00040268397,0.0006701087,0.000312945],"domain_scores_gemma":[0.9965571,0.00069471804,0.0005666231,0.000850053,0.000804428,0.0005270954],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018946391,0.00048445503,0.0005962032,0.0016409517,0.0025952787,0.0034603851,0.0007816368,0.000571457,0.01031728],"category_scores_gemma":[0.003518836,0.0005418228,0.0007912713,0.00081532483,0.004204683,0.006152167,0.0053913034,0.0017580037,0.002655113],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010839156,0.000030188108,0.000536965,0.00020816531,0.000039121605,0.00030855424,0.0010836076,0.0004642982,0.0049299165,0.9748942,0.0028843686,0.014512137],"study_design_scores_gemma":[0.000040750303,0.00007433354,0.00092024624,0.00004392984,0.000057333567,0.0007066675,0.0005287428,0.0012123901,0.010749246,0.88924056,0.09637328,0.000052666408],"about_ca_topic_score_codex":0.00038033296,"about_ca_topic_score_gemma":0.00035361756,"teacher_disagreement_score":0.01031728,"about_ca_system_score_codex":0.0007505321,"about_ca_system_score_gemma":0.0008571244,"threshold_uncertainty_score":0.034514666},"labels":[],"label_agreement":null},{"id":"W2501721175","doi":"10.1142/s0219498817501523","title":"On ∗-clean group rings over abelian groups","year":2016,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Brock University; University of California, Santa Cruz","keywords":"Mathematics; Abelian group; Idempotence; Group ring; Group (periodic table); Pure mathematics; Order (exchange); Cyclic group; Combinatorics; Physics","score_opus":0.020190557701440372,"score_gpt":0.2704971962967581,"score_spread":0.25030663859531777,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2501721175","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":[0.5948945,0.014521987,0.2766321,0.0027513676,0.0006840392,0.00016640591,0.0006498694,0.0005403452,0.10915943],"genre_scores_gemma":[0.9355124,0.0058213994,0.043356452,0.0004924624,0.0024819002,0.00011360275,0.00044620532,0.00011737477,0.011658194],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9979023,0.00058788166,0.00015017416,0.00045145347,0.0005084112,0.00039980467],"domain_scores_gemma":[0.99662006,0.0011981631,0.00077734137,0.00057301053,0.0003999808,0.00043142654],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023044946,0.00098759,0.000928779,0.003129885,0.002300676,0.002632186,0.0007313305,0.0007860868,0.0044270265],"category_scores_gemma":[0.0034275528,0.0007109996,0.0012795213,0.003057353,0.0059680887,0.0111522665,0.0036577135,0.0018668213,0.001123899],"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":[0.00009080804,0.000041143954,0.0007291438,0.00011825576,0.000018556462,0.00027327775,0.00068898697,0.0013168966,0.0024693264,0.9854988,0.0007664874,0.007988472],"study_design_scores_gemma":[0.000026267999,0.000120102,0.0014202006,0.000043874523,0.000031317544,0.00047903895,0.00028388112,0.00395651,0.0018890337,0.97878414,0.01291241,0.00005315748],"about_ca_topic_score_codex":0.0006209627,"about_ca_topic_score_gemma":0.00039963576,"teacher_disagreement_score":0.0044270265,"about_ca_system_score_codex":0.00088910566,"about_ca_system_score_gemma":0.00058611814,"threshold_uncertainty_score":0.014809847},"labels":[],"label_agreement":null},{"id":"W2541077386","doi":"10.1142/s0219498820501212","title":"Fano schemes for generic sums of products of linear forms","year":2019,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Tensor decomposition 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":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hyperplane; Pfaffian; Linear subspace; Fano plane; Mathematics; Dimension (graph theory); Hypersurface; Product (mathematics); Upper and lower bounds; Tensor product; Rank (graph theory); Combinatorics; Pure mathematics; Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.05930994424995299,"score_gpt":0.3392514718352186,"score_spread":0.2799415275852656,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2541077386","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":[0.8444991,0.0006009814,0.08630681,0.0005300831,0.0001181582,0.000050077866,0.00023446807,0.00017140526,0.06748893],"genre_scores_gemma":[0.97495097,0.00024784214,0.012794244,0.000053926018,0.000077659235,0.000030295281,0.00019342448,0.00005872177,0.01159292],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994134,0.00009874739,0.000029290617,0.00010643346,0.00017581746,0.0001763355],"domain_scores_gemma":[0.99934644,0.00014891535,0.00017213718,0.00007863312,0.00007370544,0.00018010446],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008045323,0.00070670125,0.0005084438,0.0025377704,0.001554393,0.0023606834,0.00057145563,0.0005125409,0.007522134],"category_scores_gemma":[0.0017324572,0.0003050184,0.0005319359,0.00082351564,0.002359305,0.0039755143,0.0019731638,0.0010900955,0.0006475056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028876804,0.0000092335695,0.0005177709,0.000020095493,0.0000044782055,0.00006836036,0.00015939662,0.0011988285,0.0013007184,0.992622,0.00033645067,0.0037338089],"study_design_scores_gemma":[0.000017016826,0.00004683009,0.0012812626,0.00004246466,0.000014243754,0.00038218783,0.0002687904,0.019209182,0.0033393211,0.9675239,0.007838182,0.00003663868],"about_ca_topic_score_codex":0.0006925077,"about_ca_topic_score_gemma":0.0007088981,"teacher_disagreement_score":0.007522134,"about_ca_system_score_codex":0.001127261,"about_ca_system_score_gemma":0.00025293732,"threshold_uncertainty_score":0.025164068},"labels":[],"label_agreement":null},{"id":"W2551897362","doi":"10.1142/s0219498817502103","title":"Right ADA algebras","year":2016,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Indecomposable module; Mathematics; Pure mathematics; Left and right; Section (typography); Algebra over a field; Class (philosophy); Projective test; Computer science","score_opus":0.01910822081098837,"score_gpt":0.27827780060768853,"score_spread":0.2591695797967002,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2551897362","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":[0.45435336,0.0036194609,0.1609555,0.000882766,0.00060843705,0.00013186652,0.00087380875,0.00081854715,0.3777563],"genre_scores_gemma":[0.94566303,0.0006641729,0.02282876,0.00030876222,0.00032136735,0.000046085464,0.00042181343,0.00008681059,0.029659143],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995628,0.000038272065,0.000023532055,0.00009513637,0.00016948348,0.0001108374],"domain_scores_gemma":[0.9995529,0.00005355105,0.00007359914,0.00007145416,0.00013822336,0.00011018173],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029249088,0.00031958972,0.00029597234,0.00077653566,0.0008470184,0.0014574502,0.00052160176,0.00038592378,0.009702088],"category_scores_gemma":[0.0007123693,0.0001771526,0.00033805548,0.00030663982,0.0012360853,0.0026026715,0.0013295853,0.0009841725,0.0015470728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027841508,0.000020141923,0.0014713143,0.0000464531,0.000005131624,0.00019127007,0.00022538626,0.0004570052,0.0056974217,0.98155344,0.0010118374,0.009292721],"study_design_scores_gemma":[0.000023780805,0.000067436195,0.0039892355,0.000061725565,0.00002652794,0.0020779015,0.0004578032,0.010392891,0.010496694,0.84684205,0.12552361,0.000040372583],"about_ca_topic_score_codex":0.0006224577,"about_ca_topic_score_gemma":0.0004205592,"teacher_disagreement_score":0.009702088,"about_ca_system_score_codex":0.00034977324,"about_ca_system_score_gemma":0.0003171385,"threshold_uncertainty_score":0.032456696},"labels":[],"label_agreement":null},{"id":"W2580737443","doi":"10.1142/s0219498818500093","title":"Rings in which elements are sums of nilpotents, idempotents and tripotents","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":36,"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; Nilpotent; Idempotence; Element (criminal law); Pure mathematics; Combinatorics; Discrete mathematics; Law","score_opus":0.03932145611525034,"score_gpt":0.3096087231542141,"score_spread":0.2702872670389638,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2580737443","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":[0.4462737,0.002843024,0.41299063,0.00052653864,0.0009264345,0.00018965805,0.00078621204,0.00055809296,0.13490564],"genre_scores_gemma":[0.8718752,0.0021819277,0.09626331,0.00029447078,0.0008327594,0.00014468933,0.0005441682,0.00019724644,0.02766621],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979962,0.00040627876,0.00023312922,0.0004205035,0.0006147722,0.00032916802],"domain_scores_gemma":[0.9979547,0.00047028586,0.0005295196,0.00026952123,0.00047912233,0.00029683945],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020522869,0.0006435816,0.0006466552,0.0018368607,0.0014454136,0.0030401712,0.00083881785,0.00035224395,0.0053947587],"category_scores_gemma":[0.0030508833,0.00044913,0.00086348393,0.00096369284,0.002660738,0.0081955725,0.002626415,0.0011604583,0.0023552116],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001357037,0.000053240645,0.001080353,0.00017974303,0.000070872426,0.00043963574,0.00091758254,0.00089345407,0.00872246,0.9673543,0.0013979139,0.018754708],"study_design_scores_gemma":[0.000025812247,0.00019994657,0.0015684245,0.00006704069,0.0001291828,0.0015090111,0.0008119148,0.002686819,0.016050234,0.9415312,0.035329644,0.00009077666],"about_ca_topic_score_codex":0.00017491638,"about_ca_topic_score_gemma":0.0002252174,"teacher_disagreement_score":0.0053947587,"about_ca_system_score_codex":0.00031160176,"about_ca_system_score_gemma":0.00042827582,"threshold_uncertainty_score":0.018047273},"labels":[],"label_agreement":null},{"id":"W2587541374","doi":"10.1142/s0219498818500159","title":"Orders of torsion units of integral reality-based algebras with rational multiplicities","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; TRACE (psycholinguistics); Pure mathematics; Algebraic number; Torsion (gastropod); Integer (computer science); Algebra over a field; Inverse; Rational number; Mathematical analysis; Geometry","score_opus":0.062446636278216054,"score_gpt":0.34131695950008606,"score_spread":0.27887032322187,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2587541374","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":[0.908702,0.00033657436,0.03872762,0.0004058834,0.0001099003,0.00005271118,0.00013674157,0.00019247898,0.051336102],"genre_scores_gemma":[0.9893854,0.000100568584,0.005122921,0.000044598364,0.000104476385,0.000021355694,0.00008399125,0.0000411877,0.0050954865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987447,0.00023485959,0.00011462987,0.00017212512,0.0003694402,0.00036415402],"domain_scores_gemma":[0.9982571,0.00041402038,0.00041211984,0.00020233577,0.00021138541,0.0005030415],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009295634,0.00053759885,0.00048407054,0.0018583747,0.0014817565,0.0031546392,0.0008989778,0.00058766705,0.0073491237],"category_scores_gemma":[0.0029683812,0.00048560483,0.00062173465,0.0006987203,0.0035802056,0.0049338588,0.0022277653,0.0016877066,0.0008319589],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008286991,0.000029452016,0.00062423194,0.000027054773,0.000006588174,0.0002098132,0.00063511817,0.0006327371,0.003612982,0.9901334,0.00022037968,0.0037853767],"study_design_scores_gemma":[0.000027011758,0.000080611535,0.00088307454,0.000021457094,0.000013480754,0.00036509233,0.00043706916,0.005548445,0.005739958,0.9840715,0.0027745268,0.000037856273],"about_ca_topic_score_codex":0.0005876245,"about_ca_topic_score_gemma":0.0006610448,"teacher_disagreement_score":0.0073491237,"about_ca_system_score_codex":0.0013611704,"about_ca_system_score_gemma":0.00056215696,"threshold_uncertainty_score":0.024585307},"labels":[],"label_agreement":null},{"id":"W2593951976","doi":"10.1142/s0219498815500425","title":"On the relative Cohen–Macaulay modules","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Commutative Algebra and Its Applications","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 Calgary","keywords":"Mathematics; Noetherian ring; Local cohomology; Noetherian; Generalization; Local ring; Ideal (ethics); Commutative property; Commutative ring; Pure mathematics; Discrete mathematics; Combinatorics; Ring (chemistry); Algebra over a field; Finitely-generated abelian group; Mathematical analysis","score_opus":0.031953123556258844,"score_gpt":0.2999747701209694,"score_spread":0.26802164656471056,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2593951976","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":[0.6360282,0.010214471,0.16648588,0.0022340114,0.0004294936,0.00011323621,0.00042487704,0.0002981201,0.18377164],"genre_scores_gemma":[0.9665159,0.002101899,0.013374173,0.00025108724,0.00044261815,0.000077094985,0.0001877129,0.00004908828,0.01700042],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991135,0.00024288078,0.000038647737,0.00020877036,0.00023917477,0.00015709552],"domain_scores_gemma":[0.9990404,0.00032493638,0.00017705516,0.00009394302,0.00019088532,0.00017265951],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016602072,0.000741348,0.00084467256,0.0025255939,0.0015020202,0.0017554574,0.0008734676,0.00068166817,0.0063704154],"category_scores_gemma":[0.002387441,0.00044492504,0.0006172292,0.0013878471,0.0038096916,0.0054383003,0.0024786382,0.0016410664,0.00080254115],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000367637,0.000012044246,0.00020584791,0.00005401544,0.00001000004,0.00009593892,0.0002943317,0.0007562946,0.0012605691,0.99328583,0.00021671447,0.003771605],"study_design_scores_gemma":[0.000024999164,0.000086744396,0.0009386174,0.00003749256,0.000019419744,0.00026480423,0.000120602184,0.004191654,0.0011944338,0.98625386,0.0068374327,0.000029947145],"about_ca_topic_score_codex":0.00070923904,"about_ca_topic_score_gemma":0.00036837044,"teacher_disagreement_score":0.0063704154,"about_ca_system_score_codex":0.0013466931,"about_ca_system_score_gemma":0.0006732813,"threshold_uncertainty_score":0.021311224},"labels":[],"label_agreement":null},{"id":"W2607003136","doi":"10.1142/s0219498818500640","title":"Maximal T-spaces of free associative algebras over a finite field","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Western University","funders":"","keywords":"Mathematics; Ideal (ethics); Field (mathematics); Space (punctuation); Conjecture; Combinatorics; Pure mathematics","score_opus":0.03655749155788541,"score_gpt":0.3399959878446772,"score_spread":0.3034384962867918,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2607003136","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":[0.71037567,0.0037670687,0.2100055,0.0010333906,0.00037515536,0.00013621344,0.0006745009,0.000570852,0.07306161],"genre_scores_gemma":[0.9570678,0.00057968014,0.028141266,0.00015603917,0.00019073428,0.000110200046,0.00047525467,0.00005770136,0.013221382],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986155,0.0003212255,0.00013411949,0.00031552115,0.00032034257,0.00029326344],"domain_scores_gemma":[0.9981158,0.00053671777,0.00038207383,0.00013440775,0.00031561838,0.00051540905],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011112505,0.00065866666,0.0006139945,0.002101828,0.0021652952,0.00344576,0.00094219175,0.00057458953,0.0080372775],"category_scores_gemma":[0.0021302162,0.0004487143,0.0014091388,0.0012741976,0.0043438957,0.007955305,0.0028439711,0.0015610221,0.0008373397],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000111339294,0.000022505648,0.00052676233,0.00008405373,0.000018632038,0.00015454127,0.0006560864,0.00090844417,0.001194083,0.99061245,0.00047795483,0.0052330624],"study_design_scores_gemma":[0.000034202265,0.00010250845,0.00060139236,0.00003954085,0.000019245746,0.00036971818,0.0005373812,0.0049348557,0.0036042633,0.9836046,0.006120111,0.000032221615],"about_ca_topic_score_codex":0.0005510527,"about_ca_topic_score_gemma":0.00036115941,"teacher_disagreement_score":0.0080372775,"about_ca_system_score_codex":0.0013482929,"about_ca_system_score_gemma":0.0008874163,"threshold_uncertainty_score":0.026887357},"labels":[],"label_agreement":null},{"id":"W2608112541","doi":"10.1142/s0219498821500638","title":"Rational Conjugacy Classes of Maximal Tori in Groups of Type Dn","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic Geometry and Number Theory","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 Lethbridge","funders":"Fields Institute for Research in Mathematical Sciences; Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Conjugacy class; Torus; Type (biology); Pure mathematics; Simply connected space; Combinatorics; Geometry","score_opus":0.03847774442069879,"score_gpt":0.29549330562037973,"score_spread":0.25701556119968094,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2608112541","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":[0.9348252,0.00021553953,0.013252982,0.0003407897,0.000061745865,0.000068408524,0.00014993925,0.00009396911,0.0509915],"genre_scores_gemma":[0.99403715,0.00011580898,0.00153827,0.00002840377,0.00006262315,0.000036206704,0.00013279174,0.00002694218,0.004021786],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99942845,0.00007874434,0.000036076137,0.00012378552,0.00012057118,0.00021227867],"domain_scores_gemma":[0.9994241,0.00018415434,0.000112514404,0.000053941516,0.00003933197,0.00018602273],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006066889,0.0006567862,0.00050988916,0.0032333282,0.0017680774,0.003740609,0.000616104,0.00058245653,0.0067629763],"category_scores_gemma":[0.0016435339,0.00034847547,0.00048014068,0.00085017475,0.00424816,0.0027782207,0.00233129,0.001045226,0.0005039085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019803994,0.00007519013,0.0043987473,0.00007719626,0.000014256645,0.0005740502,0.0021211975,0.0014107843,0.004739411,0.9725189,0.0008186356,0.013053422],"study_design_scores_gemma":[0.000091761554,0.000120096265,0.009266821,0.00008323554,0.000037139216,0.0009292706,0.0016883152,0.016597169,0.008439987,0.9526746,0.010010462,0.00006109077],"about_ca_topic_score_codex":0.0011014222,"about_ca_topic_score_gemma":0.0006695584,"teacher_disagreement_score":0.0067629763,"about_ca_system_score_codex":0.0024048346,"about_ca_system_score_gemma":0.0003627403,"threshold_uncertainty_score":0.022624433},"labels":[],"label_agreement":null},{"id":"W2608232999","doi":"10.1142/s0219498818502183","title":"Split t-structures and torsion pairs in hereditary categories","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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 de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Investigaciones Científicas y Técnicas; Université de Sherbrooke","keywords":"Mathematics; Torsion (gastropod); Bijection; Pure mathematics; Algebra over a field; Combinatorics","score_opus":0.02624941157501878,"score_gpt":0.298128967303285,"score_spread":0.2718795557282662,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2608232999","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":[0.8502489,0.0008569031,0.1082253,0.00032210967,0.00018676603,0.000054257347,0.00027635574,0.00040149654,0.03942784],"genre_scores_gemma":[0.9843948,0.000219442,0.010061295,0.000077405704,0.00007336576,0.000033772605,0.00021092806,0.000048404112,0.004880518],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994287,0.00009190069,0.000044392913,0.00013743388,0.00015271165,0.00014477008],"domain_scores_gemma":[0.9990369,0.00020021983,0.0001914562,0.00010591048,0.00015811631,0.0003072959],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005445928,0.00043313036,0.00040764522,0.0025626426,0.0015380065,0.0027008385,0.0008552081,0.0007361753,0.0073702824],"category_scores_gemma":[0.001374606,0.00032576796,0.0005476517,0.0018567384,0.0029799205,0.006231277,0.0024390009,0.0011180498,0.0008416136],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042096017,0.000033892262,0.0019200845,0.000047644204,0.000012227225,0.00032720363,0.0006918157,0.00059757655,0.0018905561,0.98541355,0.00064803933,0.008375334],"study_design_scores_gemma":[0.000018583594,0.00007914166,0.0018284181,0.000028810351,0.0000266441,0.0010676242,0.0006794499,0.003949788,0.004026563,0.9839962,0.0042640767,0.00003467498],"about_ca_topic_score_codex":0.0005565016,"about_ca_topic_score_gemma":0.00058314647,"teacher_disagreement_score":0.0073702824,"about_ca_system_score_codex":0.00078690186,"about_ca_system_score_gemma":0.00043428488,"threshold_uncertainty_score":0.024656057},"labels":[],"label_agreement":null},{"id":"W2735179317","doi":"10.1142/s0219498818501451","title":"Antiautomorphisms with quasi-generalized Engel condition","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Carleton University","funders":"","keywords":"Mathematics; Order (exchange); Integer (computer science); Combinatorics; Computer science","score_opus":0.04023236604582379,"score_gpt":0.34222690727577176,"score_spread":0.30199454122994795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2735179317","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":[0.55171573,0.0008848555,0.3048526,0.0014429806,0.0010250515,0.00015055582,0.0006196439,0.0016485903,0.13765994],"genre_scores_gemma":[0.94947654,0.00028755688,0.032665797,0.00047830146,0.0004508103,0.00010383589,0.00026395053,0.00016991359,0.016103305],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979519,0.00043151475,0.00020342066,0.0005449352,0.0004628961,0.00040529756],"domain_scores_gemma":[0.99736017,0.00082539674,0.00032098417,0.00059842796,0.0005275843,0.00036739893],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020168696,0.00032535952,0.00052571483,0.00092085917,0.0013156333,0.0019903972,0.0006495713,0.000620015,0.007834051],"category_scores_gemma":[0.002943571,0.00035785398,0.00091481983,0.0005903066,0.003325178,0.0046630795,0.0023899262,0.0013332454,0.0015208372],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044108772,0.000021548234,0.00035432528,0.000032046053,0.000005096115,0.00012831618,0.00025523538,0.00021377782,0.0017254913,0.9904847,0.00062705594,0.0061083846],"study_design_scores_gemma":[0.00005766274,0.000075674034,0.0006202889,0.000015836413,0.000015652286,0.00034263742,0.00018106193,0.0041975626,0.0043167616,0.97888786,0.011256178,0.000032951415],"about_ca_topic_score_codex":0.00047419954,"about_ca_topic_score_gemma":0.00039115423,"teacher_disagreement_score":0.007834051,"about_ca_system_score_codex":0.0007631901,"about_ca_system_score_gemma":0.0008263454,"threshold_uncertainty_score":0.026207507},"labels":[],"label_agreement":null},{"id":"W2755598055","doi":"10.1142/s0219498818501785","title":"A characterization of rings whose unitary Cayley graphs are planar","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Combinatorics; Cayley graph; Unitary state; Vertex (graph theory); Planar graph; Vertex-transitive graph; Graph; Discrete mathematics; Voltage graph; Line graph","score_opus":0.035142666345473715,"score_gpt":0.3087536870973714,"score_spread":0.2736110207518977,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2755598055","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":[0.8899092,0.0006289417,0.074569665,0.0004973709,0.000055003453,0.00008077415,0.0005733924,0.00032255246,0.033363104],"genre_scores_gemma":[0.98735875,0.0002766637,0.009308407,0.00010286113,0.00006975361,0.000025510639,0.00046272084,0.00003871636,0.0023565658],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991148,0.00016918214,0.000052373005,0.0002757313,0.00017301027,0.00021478112],"domain_scores_gemma":[0.997003,0.000919868,0.0009642942,0.00033752498,0.00037467937,0.00040073597],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004840456,0.00041372568,0.00047287182,0.0014066751,0.001118915,0.0019523732,0.00083631504,0.0005806424,0.0039504096],"category_scores_gemma":[0.003664894,0.00038413054,0.0004497232,0.0014115202,0.002277804,0.003130608,0.0014643499,0.0007682918,0.00042031592],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001696888,0.000051526124,0.0022428187,0.00011909941,0.000024314812,0.00035312228,0.0005092075,0.0034354075,0.007382216,0.96608,0.0016474283,0.017985255],"study_design_scores_gemma":[0.00006742454,0.00027518487,0.0047127698,0.000050025545,0.00011534632,0.0016401281,0.0015560339,0.021943204,0.012412055,0.93721735,0.019884413,0.00012609868],"about_ca_topic_score_codex":0.0007898735,"about_ca_topic_score_gemma":0.0006134044,"teacher_disagreement_score":0.0039504096,"about_ca_system_score_codex":0.0006010884,"about_ca_system_score_gemma":0.0004005536,"threshold_uncertainty_score":0.013215482},"labels":[],"label_agreement":null},{"id":"W2765858428","doi":"10.1142/s0219498818501979","title":"The index of a quartic field defined by a trinomial X4 + aX + b","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Quartic function; Trinomial; Mathematics; Prime (order theory); Combinatorics; Field (mathematics); Congruence (geometry); Polynomial; Order (exchange); Prime power; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.019448651802525373,"score_gpt":0.29735456566054347,"score_spread":0.2779059138580181,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2765858428","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":[0.85979044,0.00042657266,0.032783613,0.00052006845,0.0004144177,0.000068597896,0.00016750314,0.00017177113,0.10565712],"genre_scores_gemma":[0.9804664,0.00029634606,0.0068977973,0.00008494069,0.0002407593,0.00003759312,0.00013511903,0.000076330674,0.011764664],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996137,0.00004239089,0.000017741415,0.00007266596,0.00010880047,0.00014470589],"domain_scores_gemma":[0.9995247,0.000089077424,0.00010103821,0.00003707433,0.00008735152,0.00016078496],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005961512,0.00052082445,0.000649866,0.0016612523,0.0013337306,0.0019412874,0.0006406909,0.0004829931,0.006550513],"category_scores_gemma":[0.0011380374,0.0002327139,0.00035763028,0.00074200775,0.0024578562,0.0025901687,0.0011318836,0.0013769233,0.0012127686],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00032470477,0.00011763498,0.0014369865,0.000097109645,0.000011835793,0.00069933955,0.0010098119,0.0010693615,0.0125737805,0.9633301,0.0017278877,0.017601501],"study_design_scores_gemma":[0.00014947895,0.000323251,0.0035115748,0.00009748827,0.00003356027,0.001196087,0.0008683439,0.010034552,0.01356457,0.94816923,0.02195316,0.000098645425],"about_ca_topic_score_codex":0.000587613,"about_ca_topic_score_gemma":0.00046098058,"teacher_disagreement_score":0.006550513,"about_ca_system_score_codex":0.00096619484,"about_ca_system_score_gemma":0.00047762186,"threshold_uncertainty_score":0.021913648},"labels":[],"label_agreement":null},{"id":"W2777750777","doi":"10.1142/s021949881850216x","title":"Derived class of m-cluster tilted algebras of type 𝔸","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"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":"Université de Sherbrooke","keywords":"Mathematics; Type (biology); Class (philosophy); Pure mathematics; Cluster (spacecraft); Cluster algebra; Algebra over a field; Physics; Quantum mechanics; Computer science; Quantum","score_opus":0.0360802396664232,"score_gpt":0.31591899430064996,"score_spread":0.27983875463422675,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2777750777","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":[0.8578538,0.000755013,0.08244007,0.00037121744,0.00022719167,0.000119014425,0.00055456144,0.00021335497,0.05746583],"genre_scores_gemma":[0.9833704,0.00019489904,0.008561017,0.00012244299,0.00016608075,0.00004589432,0.00062309485,0.00002100554,0.006895062],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994043,0.000071931805,0.000039492967,0.00012568482,0.00022700054,0.00013168792],"domain_scores_gemma":[0.9993315,0.00007753537,0.00014065224,0.000087960274,0.00020506275,0.00015738879],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038764664,0.00032805372,0.0005133183,0.0009655341,0.0014132956,0.0016717185,0.00096920517,0.00043419364,0.0067650266],"category_scores_gemma":[0.001135861,0.00018343146,0.0007311009,0.00077423366,0.0016297766,0.0025172194,0.0013029154,0.0014396454,0.0006029159],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010767506,0.00004048021,0.0017814427,0.00005187654,0.000028679127,0.00042239472,0.0002829133,0.00075321837,0.0038363137,0.9866659,0.000772146,0.005257006],"study_design_scores_gemma":[0.000095121235,0.00012388412,0.0052498505,0.000036803816,0.00005659768,0.001179925,0.000557485,0.010482428,0.009667862,0.9628162,0.009651967,0.00008204718],"about_ca_topic_score_codex":0.00084369804,"about_ca_topic_score_gemma":0.00081983407,"teacher_disagreement_score":0.0067650266,"about_ca_system_score_codex":0.0009812139,"about_ca_system_score_gemma":0.000845142,"threshold_uncertainty_score":0.022631288},"labels":[],"label_agreement":null},{"id":"W2787181105","doi":"10.1142/s0219498820502060","title":"Algebraic construction of quasi-split algebraic tori","year":2019,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","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":"Western University; University of Waterloo","funders":"","keywords":"Mathematics; Combinatorics; Quotient; Permutation group; Algebraic number; Algebraic group; Algebraically closed field; Invariant (physics); Discrete mathematics; Permutation (music); Physics; Mathematical physics","score_opus":0.027932937435265353,"score_gpt":0.29809708616930153,"score_spread":0.27016414873403616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2787181105","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":[0.5032281,0.0012858267,0.21163106,0.0018740926,0.0011627227,0.00024795785,0.0004911123,0.0010689307,0.27901012],"genre_scores_gemma":[0.94632107,0.00036648184,0.03058778,0.00018207166,0.00020742098,0.000097575896,0.00022091347,0.00016839805,0.021848317],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993469,0.00013884218,0.000033808574,0.00010060289,0.00025440674,0.00012536839],"domain_scores_gemma":[0.9996226,0.00007520187,0.000049314494,0.000054465578,0.00007572507,0.00012266565],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005217606,0.00044266385,0.00038847714,0.0014505915,0.0013073649,0.0024100512,0.00085222715,0.00043855282,0.008096009],"category_scores_gemma":[0.0008400633,0.00040599698,0.00051898987,0.0006466192,0.0031674495,0.0028889794,0.0028494694,0.0016179619,0.0009787211],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010258147,0.0000132128625,0.000107084474,0.000029866738,0.000002853351,0.00011814743,0.00026705803,0.00027478748,0.001013375,0.99551636,0.00042832686,0.0022187033],"study_design_scores_gemma":[0.000039137918,0.00005683655,0.0007342091,0.000032516044,0.00001696173,0.0005825613,0.0006293429,0.007172125,0.003755517,0.9598065,0.0271451,0.000029066778],"about_ca_topic_score_codex":0.0004890558,"about_ca_topic_score_gemma":0.0006376617,"teacher_disagreement_score":0.008096009,"about_ca_system_score_codex":0.0012360705,"about_ca_system_score_gemma":0.0005288868,"threshold_uncertainty_score":0.027083874},"labels":[],"label_agreement":null},{"id":"W2876248549","doi":"10.1142/s0219498819502268","title":"Betti numbers of toric ideals of graphs: A case study","year":2018,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Betti number; Ideal (ethics); Bipartite graph; Hilbert–Poincaré series; Hilbert series and Hilbert polynomial","score_opus":0.048147172998330684,"score_gpt":0.3653774344256135,"score_spread":0.31723026142728283,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2876248549","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":[0.9698796,0.00022343601,0.01577501,0.0001833035,0.00004236758,0.000027129527,0.00008777369,0.00010918748,0.013672257],"genre_scores_gemma":[0.9936599,0.00009121326,0.004419798,0.000008934702,0.00001925366,0.000009281358,0.000053672156,0.000021366906,0.0017165241],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997588,0.000042949938,0.000007904107,0.000039090068,0.000077359015,0.000074003976],"domain_scores_gemma":[0.9991247,0.00040614995,0.00011720395,0.0000822618,0.00007795413,0.00019178973],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00070299464,0.00051262445,0.000595757,0.0024234934,0.0011931447,0.0015147756,0.0011222524,0.0005221009,0.0035748156],"category_scores_gemma":[0.0027157292,0.00017154292,0.00041704433,0.0012678293,0.0025139314,0.0016534062,0.00097163033,0.0009538134,0.0002653899],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00031682503,0.00018711173,0.011327502,0.00015819188,0.00003899875,0.001818818,0.0011146946,0.059686534,0.004665655,0.9054176,0.0019012439,0.01336686],"study_design_scores_gemma":[0.000040555216,0.00014872331,0.006049906,0.00006720621,0.000051767824,0.001269918,0.0010633374,0.44292054,0.012370415,0.5313155,0.0046137893,0.000088317225],"about_ca_topic_score_codex":0.00193129,"about_ca_topic_score_gemma":0.0023417764,"teacher_disagreement_score":0.0035748156,"about_ca_system_score_codex":0.001241043,"about_ca_system_score_gemma":0.00025597322,"threshold_uncertainty_score":0.011958957},"labels":[],"label_agreement":null},{"id":"W2886450973","doi":"10.1142/s0219498820501029","title":"Polynomial equations over octonion algebras","year":2019,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":2,"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":"Institut Périmètre de physique théorique","keywords":"Monic polynomial; Mathematics; Eigenvalues and eigenvectors; Conjugacy class; Characteristic polynomial; Matrix polynomial; Combinatorics; Polynomial; Matrix (chemical analysis); Pure mathematics; Algebra over a field; Mathematical analysis; Physics","score_opus":0.036656272167633196,"score_gpt":0.31966449563877464,"score_spread":0.28300822347114146,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2886450973","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":[0.46511286,0.0011593212,0.4609393,0.0009638294,0.00042255424,0.00013611143,0.00045230676,0.00035159534,0.07046218],"genre_scores_gemma":[0.90278405,0.0007706555,0.064204544,0.00028884015,0.00032643403,0.00006671506,0.00040460506,0.00016883668,0.030985365],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932826,0.0001124886,0.000038743736,0.000110912995,0.00028847516,0.000121161334],"domain_scores_gemma":[0.9995389,0.0001788389,0.00006963705,0.00006468301,0.00008700739,0.000061002876],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044723018,0.00051182084,0.0007587402,0.0010085328,0.000853529,0.0015886289,0.0006197569,0.00056463084,0.0071367184],"category_scores_gemma":[0.0020945927,0.00024518472,0.00057573937,0.0009794123,0.00094764656,0.0031380143,0.0014232431,0.0015334389,0.0012721816],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057331792,0.00004230293,0.0004333464,0.0000794914,0.000012254419,0.0002433994,0.00028821264,0.005698081,0.004702915,0.9672828,0.0011686124,0.019991212],"study_design_scores_gemma":[0.00003110093,0.000025837904,0.00028909236,0.000016531354,0.000010350139,0.00023658302,0.00010616943,0.0396228,0.0036909226,0.94852555,0.0074211755,0.000023912957],"about_ca_topic_score_codex":0.0011120135,"about_ca_topic_score_gemma":0.0018257987,"teacher_disagreement_score":0.0071367184,"about_ca_system_score_codex":0.0009514001,"about_ca_system_score_gemma":0.0006581866,"threshold_uncertainty_score":0.02387476},"labels":[],"label_agreement":null},{"id":"W2889054032","doi":"10.1142/s0219498819501676","title":"Open questions concerning antiautomorphisms of division rings with quasi-generalized Engel conditions","year":2018,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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; Order (exchange); Noncommutative geometry; Combinatorics; Algebra over a field; Pure mathematics","score_opus":0.04885823015033626,"score_gpt":0.3621500671113724,"score_spread":0.31329183696103613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2889054032","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":[0.63459206,0.0055819894,0.2359502,0.008478233,0.0013796214,0.0001475507,0.0008425847,0.0007253075,0.11230249],"genre_scores_gemma":[0.95181894,0.0015401623,0.03290387,0.0011310767,0.0015008159,0.0001170431,0.00046597398,0.00013716193,0.010384958],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965257,0.0009550514,0.00029128118,0.00090292934,0.00072484365,0.00060008036],"domain_scores_gemma":[0.99177825,0.0046793157,0.000796997,0.0011460624,0.0008650768,0.00073434715],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0036161954,0.0005297018,0.0009661558,0.0011146979,0.0020685242,0.003411122,0.0015324018,0.001518065,0.0099907415],"category_scores_gemma":[0.008749962,0.0005926484,0.0015004212,0.0011229005,0.0069907214,0.011675808,0.0032718934,0.0029391353,0.0013275777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030849133,0.000020885831,0.00028419946,0.00005218817,0.0000059953954,0.0000762221,0.00034346347,0.00021643839,0.00048816067,0.9939892,0.00039001997,0.0041024284],"study_design_scores_gemma":[0.000021049123,0.000029022232,0.00031999455,0.000018062123,0.000005823375,0.00013551167,0.00019434174,0.0011583981,0.00052894437,0.9935231,0.0040484625,0.000017226354],"about_ca_topic_score_codex":0.00058382633,"about_ca_topic_score_gemma":0.000349362,"teacher_disagreement_score":0.0099907415,"about_ca_system_score_codex":0.0011348007,"about_ca_system_score_gemma":0.0010514606,"threshold_uncertainty_score":0.03342241},"labels":[],"label_agreement":null},{"id":"W2890547159","doi":"10.1142/s0219498820500942","title":"Decomposing Frobenius Heisenberg categories","year":2019,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","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":"Wilfrid Laurier University; University of Ottawa","funders":"","keywords":"Morphism; Mathematics; Tensor product; Envelope (radar); Frobenius algebra; Subcategory; Combinatorics; Pure mathematics; Algebra over a field; Computer science","score_opus":0.03005617849578846,"score_gpt":0.30704988529141386,"score_spread":0.2769937067956254,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2890547159","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":[0.6123707,0.0014032786,0.167117,0.0013621565,0.00028075432,0.00013059782,0.00041723863,0.0005107183,0.21640752],"genre_scores_gemma":[0.9437829,0.0006615207,0.026521549,0.0002788089,0.000221301,0.0000903866,0.00031696822,0.00012484871,0.028001701],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990609,0.00011316782,0.00004781866,0.00016637148,0.00036708429,0.00024462742],"domain_scores_gemma":[0.9994837,0.000076133925,0.0000562387,0.00010633512,0.0001590288,0.000118461925],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006861243,0.0006963677,0.0004972936,0.002124294,0.0012028791,0.0027188086,0.0007796506,0.0008463818,0.006965197],"category_scores_gemma":[0.0010667731,0.00039429078,0.0006606823,0.0008630571,0.0027890974,0.0074882745,0.0032298507,0.0015462722,0.0010286934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000081405715,0.000006012473,0.0001217973,0.0000130670105,0.00000357422,0.00007047319,0.00035522747,0.0002948503,0.0011092081,0.9950596,0.00022207975,0.0027360534],"study_design_scores_gemma":[0.00000465292,0.000013067743,0.00032891255,0.000010940949,0.0000056010713,0.00018975892,0.00025557174,0.0022702499,0.0011398981,0.9882908,0.0074768607,0.000013753329],"about_ca_topic_score_codex":0.0017779921,"about_ca_topic_score_gemma":0.0013827948,"teacher_disagreement_score":0.006965197,"about_ca_system_score_codex":0.0012758177,"about_ca_system_score_gemma":0.0006648483,"threshold_uncertainty_score":0.023300886},"labels":[],"label_agreement":null},{"id":"W2902859808","doi":"10.1142/s0219498819502219","title":"A characterization of 2-primal and NI rings over skew inverse Laurent series rings","year":2018,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":5,"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 Alberta","keywords":"Mathematics; Laurent series; Skew; Inverse; Automorphism; Ring (chemistry); Series (stratigraphy); Power series; Pure mathematics; Characterization (materials science); Formal power series; Combinatorics; Algebra over a field; Mathematical analysis; Geometry","score_opus":0.018973935388479704,"score_gpt":0.26353844447771374,"score_spread":0.24456450908923405,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2902859808","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":[0.74197805,0.0014172475,0.1008004,0.00076510705,0.0002526588,0.00008585419,0.00047464197,0.00031271356,0.15391336],"genre_scores_gemma":[0.9721192,0.00042571835,0.014131737,0.00010821732,0.00031455111,0.000040880204,0.00023662682,0.00004439172,0.012578799],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99907625,0.00016602389,0.000070150796,0.0002458042,0.00025842738,0.00018329997],"domain_scores_gemma":[0.997759,0.00047979644,0.0005850262,0.00022901413,0.0004299047,0.00051728234],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014167696,0.0004543118,0.0005452574,0.0015471089,0.0011762589,0.0026060876,0.0007415101,0.00049779913,0.006209264],"category_scores_gemma":[0.0026707735,0.0003632547,0.000434949,0.00088464643,0.0024371292,0.0057825353,0.0019090315,0.0016428635,0.0010170145],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000100358426,0.0000359439,0.0016606792,0.00007518513,0.0000064833507,0.00021743157,0.00057331636,0.0006005144,0.0041996217,0.9854037,0.00056823774,0.006558506],"study_design_scores_gemma":[0.000032298463,0.00017439798,0.0049111545,0.000067162255,0.000041214702,0.0027659107,0.00087654137,0.011269703,0.012371157,0.9328828,0.034526538,0.00008127317],"about_ca_topic_score_codex":0.00018060689,"about_ca_topic_score_gemma":0.00014027023,"teacher_disagreement_score":0.006209264,"about_ca_system_score_codex":0.0007927604,"about_ca_system_score_gemma":0.00041125237,"threshold_uncertainty_score":0.02077204},"labels":[],"label_agreement":null},{"id":"W2918730042","doi":"10.1142/s0219498820500711","title":"Fat points, partial intersections and Hamming distance","year":2019,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Intersection (aeronautics); Hamming distance; Set (abstract data type); Point (geometry); Combinatorics; Hilbert series and Hilbert polynomial; Hamming code; Function (biology); Degree (music); Discrete mathematics; Pure mathematics; Hilbert space; Algorithm; Geometry; Decoding methods; Block code","score_opus":0.021714421771146204,"score_gpt":0.29549028207905137,"score_spread":0.2737758603079052,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2918730042","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":[0.78619134,0.0006729282,0.19658451,0.00071178144,0.00006547421,0.000020064179,0.00018341273,0.000118567754,0.015451882],"genre_scores_gemma":[0.98414177,0.00018267789,0.013338326,0.00004836611,0.00004943961,0.000016687738,0.00008296705,0.000023500896,0.0021162743],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99905163,0.00021309011,0.00004784066,0.00020132221,0.00029831173,0.00018778988],"domain_scores_gemma":[0.99659157,0.0017302281,0.00049251784,0.00042243692,0.000334823,0.0004284776],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00082922133,0.00029803344,0.00063820987,0.0017096172,0.0011338093,0.001400537,0.0010720396,0.0006571643,0.002852671],"category_scores_gemma":[0.0047901045,0.00020529836,0.00041708926,0.0012040443,0.003811779,0.0036737374,0.0027721254,0.001329265,0.00031781103],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009179236,0.000016856082,0.0015047718,0.00004610432,0.000014578767,0.00005951896,0.00022469206,0.005467661,0.0020654632,0.9815191,0.0003638151,0.008625637],"study_design_scores_gemma":[0.000013396046,0.00006453692,0.00093547796,0.000011200086,0.0000072425205,0.00013917036,0.00016567888,0.01823449,0.0029946074,0.9761874,0.0012231258,0.00002354784],"about_ca_topic_score_codex":0.00060787745,"about_ca_topic_score_gemma":0.00037442474,"teacher_disagreement_score":0.002852671,"about_ca_system_score_codex":0.00089799106,"about_ca_system_score_gemma":0.00032289117,"threshold_uncertainty_score":0.0095431805},"labels":[],"label_agreement":null},{"id":"W2942644606","doi":"10.1142/s0219498820500656","title":"Rings with xn − x nilpotent","year":2019,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":16,"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; Gebze Teknik Üniversitesi","keywords":"Mathematics; Nilpotent; Combinatorics","score_opus":0.017828240648193844,"score_gpt":0.257576558162111,"score_spread":0.23974831751391715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2942644606","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":[0.44643065,0.00701829,0.1705847,0.0021300518,0.0017243569,0.00027511266,0.0012940948,0.0013992096,0.3691435],"genre_scores_gemma":[0.8928109,0.0018031155,0.036159534,0.0005737955,0.00066648057,0.00023795733,0.0007225311,0.00014061874,0.06688508],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986273,0.0003753454,0.0001444227,0.0003287915,0.00023848479,0.00028575739],"domain_scores_gemma":[0.9989673,0.00027993007,0.00032604465,0.00014410501,0.00015236963,0.0001302998],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012667025,0.00092621276,0.0005231874,0.0011039517,0.002158307,0.0027952231,0.0007249007,0.00039909533,0.007898782],"category_scores_gemma":[0.0017191014,0.00038230175,0.00051775784,0.00087484316,0.0028913072,0.0046281232,0.0035663855,0.0010502087,0.002700484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013693477,0.000027653605,0.00075169036,0.00017722129,0.000021828077,0.00039359156,0.00066013256,0.00045226156,0.0036474746,0.9770995,0.0018074116,0.014824463],"study_design_scores_gemma":[0.000059242895,0.00014405398,0.0019542663,0.00012472802,0.000057705805,0.0017323437,0.0005305966,0.0022447342,0.010986732,0.8765543,0.105540685,0.000070706345],"about_ca_topic_score_codex":0.00047038027,"about_ca_topic_score_gemma":0.00040551383,"teacher_disagreement_score":0.007898782,"about_ca_system_score_codex":0.0011129169,"about_ca_system_score_gemma":0.00095844525,"threshold_uncertainty_score":0.02642405},"labels":[],"label_agreement":null},{"id":"W2943067960","doi":"10.1142/s0219498821501590","title":"Solving linear systems over tropical semirings through normalization method and its applications","year":2020,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Capilano University","funders":"","keywords":"Normalization (sociology); Flowchart; Rank (graph theory); Computer science; Algorithm; Mathematics; Combinatorics","score_opus":0.025457994887977033,"score_gpt":0.29821185023536173,"score_spread":0.2727538553473847,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2943067960","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.006069201,0.0003887607,0.9891551,0.0001253145,0.00004783651,0.000027605736,0.000028107585,0.00021424815,0.003943802],"genre_scores_gemma":[0.14234227,0.0011352538,0.8510249,0.00012665076,0.00015774574,0.00012491384,0.00011165598,0.0003104464,0.0046661184],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983997,0.0004923019,0.00011303728,0.00026480306,0.00060307916,0.00012711668],"domain_scores_gemma":[0.99891627,0.00047666594,0.000094261755,0.00020253212,0.00024623828,0.0000639444],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020857211,0.0006531582,0.0006625796,0.00089168176,0.0009719882,0.0008657265,0.0007331434,0.00033993102,0.0042328998],"category_scores_gemma":[0.0035873316,0.00033701336,0.0012728731,0.0012030458,0.0015849778,0.0024077834,0.0016593017,0.0013739137,0.0010011009],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000871231,0.00008785231,0.0010368472,0.00041518785,0.00007241305,0.00020145261,0.00074724125,0.06118501,0.021726532,0.7122306,0.00303636,0.1991733],"study_design_scores_gemma":[0.000031696807,0.00010864499,0.00051663344,0.00010682227,0.00004351479,0.00049520994,0.0002025715,0.38898778,0.019839594,0.5585855,0.03099517,0.000086832144],"about_ca_topic_score_codex":0.0023870002,"about_ca_topic_score_gemma":0.0029024966,"teacher_disagreement_score":0.0042328998,"about_ca_system_score_codex":0.0007990158,"about_ca_system_score_gemma":0.0013660223,"threshold_uncertainty_score":0.014160514},"labels":[],"label_agreement":null},{"id":"W2955456460","doi":"10.1142/s0219498820501509","title":"Additive decompositions of polynomials over unique factorization domains","year":2019,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Factorization; Factorization of polynomials; Decomposition; Pure mathematics; Finite field; Unique factorization domain; Algebra over a field; Discrete mathematics; Combinatorics; Polynomial; Mathematical analysis; Algorithm; Matrix polynomial","score_opus":0.004977955045630473,"score_gpt":0.23256817190012807,"score_spread":0.2275902168544976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2955456460","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":[0.42704478,0.005151006,0.49770248,0.0014230463,0.00064794347,0.00008674878,0.00048824662,0.00022156302,0.06723424],"genre_scores_gemma":[0.9356364,0.0022161687,0.04503436,0.00021725084,0.00061089103,0.000052440657,0.00041043395,0.00008049475,0.015741562],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987073,0.00023218486,0.00006515429,0.000217656,0.00044768592,0.00033014288],"domain_scores_gemma":[0.9982338,0.0005399148,0.00033223623,0.00020322969,0.00042745416,0.0002633843],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001333309,0.0007529968,0.0007876036,0.002408488,0.0011996665,0.0022472858,0.0006602344,0.0003855303,0.0039037203],"category_scores_gemma":[0.0028003317,0.00032460445,0.0010285205,0.0016264074,0.00247091,0.0043634363,0.0023976967,0.0021363338,0.00084680656],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030511086,0.000021664404,0.00031333228,0.000057965837,0.000011718285,0.00010620814,0.00021602542,0.0013121454,0.0011674265,0.9848257,0.00071942096,0.011217767],"study_design_scores_gemma":[0.0000128493575,0.00006143324,0.00038095762,0.00004425908,0.000018998124,0.00041788226,0.00020262097,0.0077072373,0.0021815116,0.9824348,0.006514766,0.000022578351],"about_ca_topic_score_codex":0.0006113257,"about_ca_topic_score_gemma":0.0005730663,"teacher_disagreement_score":0.0039037203,"about_ca_system_score_codex":0.00087725336,"about_ca_system_score_gemma":0.0006638846,"threshold_uncertainty_score":0.013059258},"labels":[],"label_agreement":null},{"id":"W2963627099","doi":"10.1142/s0219498812500697","title":"POSITIVITY FOR REGULAR CLUSTER CHARACTERS IN ACYCLIC CLUSTER ALGEBRAS","year":2012,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Quiver; Indecomposable module; Algebraically closed field; Mathematics; Cluster algebra; Cluster (spacecraft); Combinatorics; Path (computing); Field (mathematics); Simple (philosophy); Discrete mathematics; Algebra over a field; Pure mathematics; Physics; Computer science","score_opus":0.02597681442868847,"score_gpt":0.30547222003073166,"score_spread":0.27949540560204317,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963627099","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":[0.83409804,0.00031125557,0.077673234,0.0008662479,0.00014992112,0.000072793715,0.00020690833,0.00024133097,0.08638032],"genre_scores_gemma":[0.98973596,0.00009695379,0.0036156157,0.000102301026,0.00007590927,0.000034671033,0.00007322289,0.00003883194,0.006226525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99934906,0.00017484975,0.00003043363,0.000117128904,0.00016206714,0.00016661463],"domain_scores_gemma":[0.9983891,0.0006095982,0.00019818672,0.00010484752,0.00036719273,0.0003310758],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009205359,0.0003820145,0.00043737193,0.0012997363,0.0018802482,0.00208184,0.0005887892,0.00065737386,0.006629534],"category_scores_gemma":[0.002907874,0.00034561445,0.00051380123,0.00065376697,0.0034872978,0.0032729965,0.0016876431,0.0012506215,0.0006572965],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045390596,0.000018238628,0.00062502106,0.000035259625,0.0000054434363,0.00019576272,0.000439946,0.0005469236,0.002899056,0.9930126,0.0005307245,0.0016456561],"study_design_scores_gemma":[0.000019574745,0.000033546185,0.0008617559,0.000016841655,0.000012470202,0.00035519645,0.00023144462,0.007661009,0.0034149627,0.9850751,0.002287412,0.0000305688],"about_ca_topic_score_codex":0.000637914,"about_ca_topic_score_gemma":0.0006315344,"teacher_disagreement_score":0.006629534,"about_ca_system_score_codex":0.0010859858,"about_ca_system_score_gemma":0.00060771586,"threshold_uncertainty_score":0.022177994},"labels":[],"label_agreement":null},{"id":"W2964079202","doi":"10.1142/s021949881350093x","title":"UNITARY GROUPS OVER LOCAL RINGS","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Algebra and Geometry","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 Regina","funders":"","keywords":"Mathematics; Unitary state; Pure mathematics; Local ring; Involution (esoterism); Commutative ring; Hermitian matrix; Ring (chemistry); Unitary group; Group ring; Sesquilinear form; Unitary matrix; Algebra over a field; Commutative property; Group (periodic table)","score_opus":0.015057526434372463,"score_gpt":0.27825402744840394,"score_spread":0.26319650101403147,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964079202","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":[0.9270804,0.0007825228,0.04120671,0.00030319704,0.000065824905,0.000035471352,0.00006360916,0.00011399247,0.030348351],"genre_scores_gemma":[0.9915931,0.00021173882,0.0036064321,0.000023789242,0.000078133104,0.000010807513,0.000031965308,0.000013346669,0.004430637],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951935,0.00010714545,0.000018970533,0.00007938551,0.000103982726,0.00017117255],"domain_scores_gemma":[0.9993316,0.00018068083,0.0001405415,0.00007373064,0.00006764265,0.00020573898],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007791778,0.0004933686,0.000420464,0.0011698145,0.0009439492,0.0017205528,0.0005092914,0.00038507703,0.0045110816],"category_scores_gemma":[0.0015522321,0.00018379105,0.00032768206,0.00072155043,0.002701261,0.0032633257,0.001688974,0.00080954214,0.0005318421],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049679296,0.00004422489,0.0010750585,0.000041596817,0.0000072803996,0.00021274945,0.0010193962,0.0025866753,0.003204872,0.98561007,0.00027387743,0.00587454],"study_design_scores_gemma":[0.000055194778,0.000179233,0.0012562927,0.00003278232,0.000021763784,0.00040752356,0.00096399157,0.015722638,0.0066447933,0.96758527,0.0071000545,0.000030430218],"about_ca_topic_score_codex":0.0003866131,"about_ca_topic_score_gemma":0.000280654,"teacher_disagreement_score":0.0045110816,"about_ca_system_score_codex":0.0005757797,"about_ca_system_score_gemma":0.00027672402,"threshold_uncertainty_score":0.015091121},"labels":[],"label_agreement":null},{"id":"W2970492033","doi":"10.1142/s0219498820501790","title":"An associative left brace is a ring","year":2019,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Brace; Associative property; Mathematics; Ring (chemistry); Jacobson radical; Combinatorics; Pure mathematics; Engineering; Structural engineering","score_opus":0.016689753807383412,"score_gpt":0.30393390165194806,"score_spread":0.28724414784456465,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2970492033","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":[0.272194,0.012608076,0.17284293,0.0103418855,0.0042503714,0.00011659619,0.00069216243,0.0008639548,0.5260899],"genre_scores_gemma":[0.91333336,0.0031743883,0.026863359,0.0017979443,0.001340875,0.00005437714,0.0002870902,0.000096073796,0.053052556],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99924785,0.00014292431,0.000053121494,0.0002054498,0.00021964243,0.00013093802],"domain_scores_gemma":[0.9992077,0.00029487672,0.00009620654,0.00013301722,0.00018603247,0.000082109436],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00079788174,0.0004296815,0.0005371688,0.0008985419,0.0010662453,0.002482816,0.0004571553,0.00055087224,0.01106238],"category_scores_gemma":[0.0011743652,0.00026341178,0.0004951377,0.00097608345,0.004163859,0.004512808,0.0014146516,0.0011861303,0.0017680512],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029860004,0.000014536389,0.00015586698,0.00009588575,0.000012819929,0.00009287275,0.00016968501,0.00016534094,0.0015847667,0.98599756,0.0030426055,0.00863815],"study_design_scores_gemma":[0.000026944437,0.00005586959,0.00039708233,0.00003557548,0.000023463263,0.00045139907,0.0002257089,0.0013179365,0.004998699,0.90937155,0.08307048,0.000025304162],"about_ca_topic_score_codex":0.00034285896,"about_ca_topic_score_gemma":0.00034618413,"teacher_disagreement_score":0.01106238,"about_ca_system_score_codex":0.00063286937,"about_ca_system_score_gemma":0.0006213739,"threshold_uncertainty_score":0.03700733},"labels":[],"label_agreement":null},{"id":"W3004827764","doi":"10.1142/s0219498821500687","title":"2-Local derivations on Witt algebras","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Rank (graph theory); Witt algebra; Algebra over a field; Pure mathematics; Virasoro algebra; Algebra representation; Combinatorics; Cellular algebra","score_opus":0.050413403014691306,"score_gpt":0.3184957968678939,"score_spread":0.2680823938532026,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3004827764","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":[0.67566425,0.0017521408,0.19368067,0.00077171583,0.00058061455,0.000099602265,0.0002507346,0.00058035244,0.12661995],"genre_scores_gemma":[0.9614924,0.0005520875,0.0145843625,0.00032580883,0.00029604384,0.000029335297,0.00012314913,0.00010236105,0.022494426],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996556,0.00007425826,0.000020793626,0.00007418005,0.00011166243,0.00006359616],"domain_scores_gemma":[0.99972874,0.000036979658,0.00004507019,0.000042439056,0.00008318368,0.00006359632],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039659842,0.0003901164,0.0003761795,0.0006674643,0.00079280575,0.0007308773,0.00042698823,0.0004158579,0.0064505585],"category_scores_gemma":[0.0007348585,0.00018489614,0.0004079881,0.00044741947,0.0013675512,0.002723375,0.0013966896,0.00096212217,0.0015858767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023344986,0.000025991456,0.00028032114,0.00006680256,0.00001131058,0.00045757266,0.00032685528,0.0014195563,0.0068885256,0.98157376,0.0009459234,0.007980137],"study_design_scores_gemma":[0.000012331943,0.000040269715,0.0003094964,0.0000122833735,0.000006293869,0.00045735628,0.00007441994,0.004127768,0.003189164,0.9861093,0.005643607,0.000017562881],"about_ca_topic_score_codex":0.00018030406,"about_ca_topic_score_gemma":0.00029746853,"teacher_disagreement_score":0.0064505585,"about_ca_system_score_codex":0.00031491887,"about_ca_system_score_gemma":0.0003653902,"threshold_uncertainty_score":0.021579266},"labels":[],"label_agreement":null},{"id":"W3028832908","doi":"10.1142/s0219498821501772","title":"Schur indices for reality-based algebras with two nonreal basis elements","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Topics in Algebra","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":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Noncommutative geometry; Mathematics; Division algebra; Field (mathematics); Central simple algebra; Rank (graph theory); Noncommutative algebraic geometry; Algebra over a field; Basis (linear algebra); Algebra representation; Quaternion; Pure mathematics; Dimension (graph theory); Non-associative algebra; Representation theory; Noncommutative quantum field theory; Combinatorics; Geometry","score_opus":0.06609895024017401,"score_gpt":0.3576414462191822,"score_spread":0.29154249597900816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3028832908","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":[0.46191865,0.0018141632,0.28629315,0.00159551,0.000916722,0.000156578,0.00037884363,0.00030067752,0.24662574],"genre_scores_gemma":[0.9436526,0.0005017503,0.030073715,0.00027848023,0.0003935941,0.00008542117,0.00023707427,0.00008233304,0.024695046],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921024,0.00018311838,0.000049769114,0.000116408235,0.00029514136,0.00014522913],"domain_scores_gemma":[0.99931324,0.0001306496,0.00013612695,0.00009095274,0.00017973779,0.00014929334],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00093687937,0.00052984396,0.00043994212,0.0019006667,0.0013105902,0.0026275907,0.0008395643,0.000670118,0.0074680373],"category_scores_gemma":[0.0015079201,0.00023758998,0.00058103516,0.0009129163,0.0022250111,0.004192846,0.00138217,0.0016396983,0.0013926207],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008033563,0.000007808332,0.00004864544,0.000011461175,0.0000015312245,0.00003744248,0.00010349684,0.00021255805,0.00063548895,0.997177,0.00023389504,0.0015225548],"study_design_scores_gemma":[0.000009915875,0.000022370205,0.00018166228,0.000012564546,0.000004204187,0.00013867984,0.00010309714,0.0056257336,0.0010274287,0.98867047,0.0041821436,0.00002165539],"about_ca_topic_score_codex":0.0006516594,"about_ca_topic_score_gemma":0.0007532573,"teacher_disagreement_score":0.0074680373,"about_ca_system_score_codex":0.0011097547,"about_ca_system_score_gemma":0.0007126891,"threshold_uncertainty_score":0.024983108},"labels":[],"label_agreement":null},{"id":"W3036081150","doi":"10.1142/s0219498821502005","title":"The reduced ring order and lower semi-lattices II","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"semigroups and automata theory","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University; University of Ottawa","funders":"","keywords":"Mathematics; Bijection, injection and surjection; Commutative ring; Order (exchange); Ring (chemistry); Noncommutative ring; Power series; Von Neumann regular ring; Pure mathematics; Lattice (music); Category of rings; Polynomial ring; Commutative property; Series (stratigraphy); Combinatorics; Primitive ring; Principal ideal ring; Mathematical analysis; Chemistry","score_opus":0.013251322748289102,"score_gpt":0.23975800265973038,"score_spread":0.22650667991144127,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3036081150","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":[0.55657405,0.0045160674,0.1980772,0.003326718,0.000916567,0.000104307575,0.00039542373,0.00042193552,0.23566781],"genre_scores_gemma":[0.9543074,0.001024393,0.022665672,0.00025203408,0.00036051637,0.000035607045,0.00015218374,0.000049154638,0.021153104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993591,0.0001534265,0.000038016125,0.00012928706,0.00020786161,0.00011236051],"domain_scores_gemma":[0.99906355,0.0002695712,0.00013007547,0.0001863588,0.00019109974,0.00015938471],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007889471,0.00020304947,0.0003392942,0.00072838634,0.0008009437,0.0023429953,0.00035410537,0.00025479108,0.005947045],"category_scores_gemma":[0.0012152276,0.00018826642,0.00043976496,0.00038064615,0.002813754,0.0032144897,0.0014039597,0.0012249151,0.00096987066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002778783,0.000013626086,0.00025890648,0.000038128223,0.0000038034473,0.00007632743,0.0002525821,0.0006332339,0.0015937522,0.9917687,0.00052448036,0.0048086434],"study_design_scores_gemma":[0.000012380778,0.00008621784,0.00067352515,0.000034728648,0.000010208967,0.0003697612,0.00033947267,0.005968509,0.004152497,0.9601608,0.028164491,0.000027520502],"about_ca_topic_score_codex":0.0005078645,"about_ca_topic_score_gemma":0.00036672308,"teacher_disagreement_score":0.005947045,"about_ca_system_score_codex":0.00072273583,"about_ca_system_score_gemma":0.0004883673,"threshold_uncertainty_score":0.019894898},"labels":[],"label_agreement":null},{"id":"W3039597935","doi":"10.1142/s0219498822500359","title":"Frobenius W-algebras and traces of Frobenius Heisenberg categories","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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 Ottawa","funders":"","keywords":"Isomorphism (crystallography); Frobenius algebra; Conjecture; TRACE (psycholinguistics); Superalgebra; Algebra over a field; Tensor product","score_opus":0.03832869210477489,"score_gpt":0.3005739286149085,"score_spread":0.2622452365101336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3039597935","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":[0.7794058,0.00060822524,0.13963662,0.001178999,0.0001716262,0.00008551333,0.00023632389,0.00028105054,0.0783959],"genre_scores_gemma":[0.96558785,0.00031307634,0.013282448,0.00014384909,0.00015241324,0.000068085006,0.00017180432,0.000063333,0.020217171],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932873,0.000091999085,0.00003339392,0.000116982854,0.0002700393,0.00015894289],"domain_scores_gemma":[0.9992668,0.00013105608,0.00010027874,0.00010077582,0.00018628493,0.000214789],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007607819,0.00037160487,0.0003887176,0.0014176943,0.0012591712,0.0017601639,0.0010987254,0.0006322676,0.0043342933],"category_scores_gemma":[0.001765109,0.00031930342,0.0007015299,0.0006958824,0.0034148523,0.005468087,0.0021878164,0.0018047187,0.0005980423],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009593735,0.000013918459,0.0001844182,0.000009979788,0.0000030915676,0.000050064828,0.00028534306,0.0002507743,0.0009580766,0.99636674,0.00013980818,0.0017280949],"study_design_scores_gemma":[0.0000069361727,0.000020037374,0.00030291668,0.0000062304075,0.0000025146344,0.000099090896,0.00013465865,0.002247512,0.0011437392,0.99406296,0.0019635705,0.000009839514],"about_ca_topic_score_codex":0.0022928775,"about_ca_topic_score_gemma":0.0014820993,"teacher_disagreement_score":0.0043342933,"about_ca_system_score_codex":0.0010954761,"about_ca_system_score_gemma":0.0010011285,"threshold_uncertainty_score":0.014499664},"labels":[],"label_agreement":null},{"id":"W3045119470","doi":"10.1142/s0219498821400119","title":"Group gradings and actions of pointed Hopf algebras","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Hopf algebra; Quantum group; Pure mathematics; Associative property; Group (periodic table); Algebra over a field; Matrix (chemical analysis); Nest algebra; Non-associative algebra; Universal enveloping algebra","score_opus":0.04505814250029573,"score_gpt":0.2919613500864157,"score_spread":0.24690320758612,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3045119470","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":[0.8209707,0.0013986352,0.0981191,0.0006590971,0.0003098219,0.0000650005,0.00011762013,0.00019157308,0.078168534],"genre_scores_gemma":[0.9762815,0.00081922766,0.009836345,0.000071787654,0.00023019616,0.000029257983,0.000090381545,0.000024522407,0.01261679],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99964595,0.00007366337,0.00002064901,0.000049671682,0.000116292285,0.000093824056],"domain_scores_gemma":[0.999335,0.0001202023,0.00017332504,0.00006804766,0.00011193801,0.000191437],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005149043,0.00056552625,0.00030137625,0.0015413505,0.00093169586,0.0018101395,0.0006389067,0.0006448046,0.0036526204],"category_scores_gemma":[0.0011926696,0.00020557415,0.00057861157,0.0007647331,0.0019104679,0.002387557,0.001285982,0.00083427585,0.00070188736],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016722563,0.000036460355,0.00045197166,0.000027485967,0.00000662252,0.00016687937,0.00056679896,0.0022032624,0.0033412417,0.9879887,0.00032414673,0.0048697493],"study_design_scores_gemma":[0.000009669358,0.0000445338,0.00043631915,0.000014922903,0.000008675678,0.000113145325,0.00017692585,0.006440113,0.0012689725,0.9892175,0.0022512956,0.000017951426],"about_ca_topic_score_codex":0.00090374297,"about_ca_topic_score_gemma":0.00078596175,"teacher_disagreement_score":0.0036526204,"about_ca_system_score_codex":0.00058371894,"about_ca_system_score_gemma":0.00033889106,"threshold_uncertainty_score":0.01221925},"labels":[],"label_agreement":null},{"id":"W3083632620","doi":"10.1142/s021949882250013x","title":"Rings with fine idempotents","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Idempotence; Ring (chemistry); Simple ring; Primitive ring; Von Neumann regular ring; Unit (ring theory); Simple (philosophy); Diagonal; Integer (computer science); Combinatorics; Matrix ring; Pure mathematics; Nilpotent; Principal ideal ring; Matrix (chemical analysis); Commutative ring; Invertible matrix; Geometry","score_opus":0.03448564168472027,"score_gpt":0.2716022581226765,"score_spread":0.23711661643795626,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3083632620","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":[0.61039555,0.004356712,0.19088788,0.0009116223,0.0005336802,0.00009482125,0.0005927173,0.00054822204,0.19167887],"genre_scores_gemma":[0.96033746,0.0008707991,0.021764914,0.00017475545,0.00049444655,0.000029504608,0.00019727912,0.000056109646,0.016074749],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99931085,0.000120002165,0.00004603407,0.00019675013,0.00019467261,0.00013181305],"domain_scores_gemma":[0.99851745,0.0003273344,0.00030356887,0.00032609928,0.0002427479,0.00028286208],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008239921,0.00033548076,0.00041458322,0.0010251631,0.000948633,0.002095113,0.0003170197,0.00032946758,0.003974778],"category_scores_gemma":[0.002322105,0.00033118294,0.0004274586,0.0005930467,0.0018169708,0.0037791186,0.0017862117,0.0009308117,0.00096127106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001335856,0.000029133917,0.0007144256,0.00011087634,0.00001591113,0.00033532982,0.00037336393,0.001342553,0.008717088,0.9699978,0.0018106375,0.016419275],"study_design_scores_gemma":[0.000034180117,0.00011336395,0.0018655325,0.000042311676,0.000025137644,0.0012193914,0.00019290812,0.004385948,0.008464612,0.94824356,0.03537184,0.00004119698],"about_ca_topic_score_codex":0.000116233365,"about_ca_topic_score_gemma":0.00011131205,"teacher_disagreement_score":0.003974778,"about_ca_system_score_codex":0.00033448995,"about_ca_system_score_gemma":0.0002376219,"threshold_uncertainty_score":0.013296902},"labels":[],"label_agreement":null},{"id":"W3088910248","doi":"10.1142/s0219498821400090","title":"Graded-division algebras over arbitrary fields","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Topics in Algebra","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; Division algebra; Abelian group; Division (mathematics); Invertible matrix; Isomorphism (crystallography); Pure mathematics; Group (periodic table); Algebra over a field; Algebra representation; Arithmetic","score_opus":0.04486630424046445,"score_gpt":0.3213288737129614,"score_spread":0.276462569472497,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3088910248","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":[0.7399998,0.002214023,0.11146751,0.00079284405,0.00043005092,0.00015612502,0.00047568852,0.00044785437,0.14401609],"genre_scores_gemma":[0.969907,0.0007054631,0.015332433,0.00012661424,0.00017311907,0.000031991392,0.0002489738,0.00002279807,0.013451685],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995982,0.000056360044,0.000032836546,0.00006963779,0.00013549929,0.00010739166],"domain_scores_gemma":[0.99966204,0.00004656411,0.00006692863,0.000047965717,0.00008308181,0.0000934171],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005877863,0.0004269142,0.0003313655,0.0008391816,0.00080594345,0.0016220293,0.00045819016,0.00025545855,0.0034638054],"category_scores_gemma":[0.00080568006,0.000116663316,0.000340386,0.00092037144,0.0023292622,0.0027841707,0.0010935357,0.00062657445,0.00070525],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002514614,0.000020337377,0.00052214164,0.000040008475,0.000004855611,0.00008876946,0.00029146243,0.0005043479,0.0030737398,0.9873406,0.0004554138,0.007633084],"study_design_scores_gemma":[0.00001741058,0.00003829055,0.00072690385,0.000030227497,0.000014696624,0.0002884357,0.0002710652,0.0028188685,0.004984456,0.9760182,0.014775782,0.000015716823],"about_ca_topic_score_codex":0.000802061,"about_ca_topic_score_gemma":0.00071995484,"teacher_disagreement_score":0.0034638054,"about_ca_system_score_codex":0.00090768415,"about_ca_system_score_gemma":0.0005959535,"threshold_uncertainty_score":0.01158756},"labels":[],"label_agreement":null},{"id":"W3088932472","doi":"10.1142/s0219498823500512","title":"Feedback linearly extended discrete functions","year":2021,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bijection; Mathematics; Linear space; System of linear equations; Cryptography; Extension (predicate logic); Linear equation; Mathematical proof; Block cipher; Linear algebra; Discrete mathematics; Algebra over a field; Pure mathematics; Computer science; Algorithm; Mathematical analysis","score_opus":0.013034073725008904,"score_gpt":0.2499844969864728,"score_spread":0.2369504232614639,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3088932472","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":[0.1564224,0.00026000242,0.81991184,0.0003702567,0.0001125504,0.00009317294,0.00012568821,0.00045686672,0.022247247],"genre_scores_gemma":[0.8732421,0.0002734585,0.10371409,0.00021424759,0.0001251847,0.00017408673,0.00011465113,0.00013106014,0.022011098],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993656,0.00016920282,0.000028906828,0.00013940893,0.00020134034,0.000095529416],"domain_scores_gemma":[0.9989447,0.00047639298,0.000114999624,0.00023076506,0.00013263087,0.00010048647],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00062832364,0.0005194326,0.00049180555,0.00044525045,0.0005356187,0.00095812295,0.00063096255,0.00050730933,0.0058903624],"category_scores_gemma":[0.0025922218,0.00021729007,0.00063976494,0.00030937366,0.0014811934,0.0024363652,0.0015205098,0.0013306602,0.0009875863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001989132,0.00009079879,0.00043859912,0.00009716942,0.000019308263,0.00021995502,0.0002946306,0.05716781,0.017485198,0.8769842,0.0009928697,0.04601053],"study_design_scores_gemma":[0.00006313327,0.00022718975,0.00025840985,0.000034129833,0.000017231587,0.00031536186,0.0001019434,0.44550776,0.012848567,0.5295801,0.010999254,0.00004696282],"about_ca_topic_score_codex":0.0003970363,"about_ca_topic_score_gemma":0.00036222127,"teacher_disagreement_score":0.0058903624,"about_ca_system_score_codex":0.0008157888,"about_ca_system_score_gemma":0.0004075879,"threshold_uncertainty_score":0.019705236},"labels":[],"label_agreement":null},{"id":"W3094300156","doi":"10.1142/s0219498810004075","title":"THE CENTRAL POLYNOMIALS OF THE INFINITE-DIMENSIONAL UNITARY AND NONUNITARY GRASSMANN ALGEBRAS","year":2010,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Western University","funders":"","keywords":"Unitary state; Mathematics; Algebra over a field; Field (mathematics); Exterior algebra; Pure mathematics; Space (punctuation); Circular ensemble; Unitary matrix; Computer science","score_opus":0.017406255555963614,"score_gpt":0.2815735759106548,"score_spread":0.2641673203546912,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3094300156","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":[0.8417919,0.0012946011,0.105410844,0.0007448312,0.00032675048,0.00007777746,0.0002544385,0.0001823725,0.0499164],"genre_scores_gemma":[0.98455805,0.00032808832,0.007927156,0.00006888164,0.00016433673,0.000040403243,0.0000838537,0.000034258144,0.0067950077],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99942756,0.0001403292,0.000021074093,0.000074603224,0.0001469328,0.0001895956],"domain_scores_gemma":[0.9993118,0.00016199327,0.00013388063,0.000062016305,0.00012606825,0.0002042392],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00082758575,0.0006265697,0.0006217844,0.001900446,0.0012366594,0.0025080147,0.0012473261,0.0008089168,0.004640009],"category_scores_gemma":[0.0020458533,0.0002551942,0.0007943602,0.0013895062,0.003337889,0.0034698714,0.001776597,0.0015524876,0.00064697483],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051661376,0.00002450834,0.000117720265,0.00003240257,0.0000053992335,0.0001828246,0.00021351523,0.0013462494,0.0016880744,0.99238825,0.00025461646,0.00369479],"study_design_scores_gemma":[0.000033309672,0.00007331459,0.0005017966,0.000015263171,0.000007310935,0.00035740546,0.00020272675,0.0154288765,0.0021332956,0.97955453,0.0016554655,0.000036719768],"about_ca_topic_score_codex":0.0011525452,"about_ca_topic_score_gemma":0.0007421195,"teacher_disagreement_score":0.004640009,"about_ca_system_score_codex":0.0008405481,"about_ca_system_score_gemma":0.0012469563,"threshold_uncertainty_score":0.015522361},"labels":[],"label_agreement":null},{"id":"W3094592764","doi":"10.1142/s0219498822501638","title":"Isotropy groups of free racks and quandles","year":2021,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"University of Ottawa","keywords":"Automorphism; Isotropy; Mathematics; Covariant transformation; Functor; Group (periodic table); Identity (music); Pure mathematics; Finitely-generated abelian group; Geometry; Physics","score_opus":0.034496738148685695,"score_gpt":0.30348892356446744,"score_spread":0.26899218541578174,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3094592764","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":[0.930561,0.0002504894,0.050938617,0.00015105559,0.000052396335,0.000025411891,0.00006208734,0.000113174254,0.017845886],"genre_scores_gemma":[0.9870881,0.00012929273,0.0055639725,0.00003367766,0.000054800104,0.00001884034,0.00010381931,0.000035299472,0.0069722333],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993279,0.00008007692,0.00004228366,0.00017423581,0.00021560358,0.00015988975],"domain_scores_gemma":[0.99913174,0.00015911827,0.00024105894,0.00017737893,0.0001473183,0.00014338345],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000534503,0.00032189288,0.00025804382,0.0012751409,0.0008121151,0.0014077016,0.00037186992,0.00031802774,0.0039077625],"category_scores_gemma":[0.001164702,0.00017064858,0.00039345984,0.00032855573,0.0018065537,0.00447628,0.0021485013,0.00067419535,0.00039756842],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056363024,0.00003777843,0.0025556232,0.000039434206,0.000009239322,0.00022955696,0.0019054069,0.00070557295,0.011320157,0.9683555,0.00030479298,0.014480545],"study_design_scores_gemma":[0.000026708247,0.00020604167,0.007869093,0.000031917272,0.00003489986,0.0011527844,0.0014546629,0.009036386,0.024320463,0.93141514,0.024383822,0.00006806622],"about_ca_topic_score_codex":0.00035199555,"about_ca_topic_score_gemma":0.00024011022,"teacher_disagreement_score":0.0039077625,"about_ca_system_score_codex":0.00042316673,"about_ca_system_score_gemma":0.00021304045,"threshold_uncertainty_score":0.013072789},"labels":[],"label_agreement":null},{"id":"W3110854812","doi":"10.1142/s0219498822500608","title":"Generalized fine rings","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","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":"Mathematics; Ring (chemistry); Nilpotent; Simple ring; Unit (ring theory); Von Neumann regular ring; Matrix ring; Pure mathematics; Simple (philosophy); Noncommutative ring; Generalization; Element (criminal law); Primitive ring; Matrix (chemical analysis); Combinatorics; Principal ideal ring; Mathematical analysis; Commutative ring; Chemistry; Law","score_opus":0.042141560717171976,"score_gpt":0.28700754530989486,"score_spread":0.24486598459272288,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3110854812","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":[0.48070985,0.011109674,0.23624024,0.0022289492,0.0011783226,0.000269988,0.0013860168,0.000594066,0.26628283],"genre_scores_gemma":[0.92314494,0.0024215982,0.041954037,0.00058958953,0.0005794276,0.00007460598,0.000360507,0.000051945117,0.03082335],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939656,0.00010133653,0.000032466018,0.00018865004,0.00017585795,0.00010510646],"domain_scores_gemma":[0.99929214,0.00009323721,0.00014213886,0.00017039721,0.00015826535,0.00014374731],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00070140866,0.00035784903,0.0004160925,0.0010397458,0.0009867233,0.0016994261,0.00039452803,0.00033661426,0.00457518],"category_scores_gemma":[0.0013246799,0.0002212927,0.0004964316,0.00059709686,0.0014446602,0.0037271124,0.0018961609,0.0008694983,0.0006121659],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042399162,0.000010836131,0.00048445363,0.00007215643,0.0000126899795,0.00018712528,0.00028344482,0.0007439958,0.0025463712,0.9806306,0.0016448331,0.013341],"study_design_scores_gemma":[0.00003194919,0.00012768748,0.0028346153,0.00006998706,0.00003704383,0.0017259171,0.00040650443,0.0047564902,0.0025161197,0.86001134,0.12743273,0.000049692804],"about_ca_topic_score_codex":0.0004997734,"about_ca_topic_score_gemma":0.00051059946,"teacher_disagreement_score":0.00457518,"about_ca_system_score_codex":0.00050855946,"about_ca_system_score_gemma":0.00028795312,"threshold_uncertainty_score":0.015305519},"labels":[],"label_agreement":null},{"id":"W3111729457","doi":"10.1142/s0219498822500773","title":"Nil 𝒢-cleanness and strongly nil 𝒢-cleanness of rings","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","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":"Mathematics; Combinatorics; Quotient; Category of rings; Pure mathematics; Commutative ring; Principal ideal ring","score_opus":0.033999880513887734,"score_gpt":0.27516044851346083,"score_spread":0.24116056799957308,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3111729457","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":[0.54080445,0.0054140193,0.3830546,0.0019210315,0.0006411703,0.00013650255,0.0011416441,0.0010141828,0.06587234],"genre_scores_gemma":[0.9443761,0.001156742,0.042226136,0.00033388022,0.00055131287,0.000096785785,0.00055047806,0.00012965877,0.01057886],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99686277,0.000619119,0.00029471627,0.00076687214,0.00095504476,0.0005014708],"domain_scores_gemma":[0.9918282,0.0024157686,0.0012323791,0.0015647867,0.0019194906,0.0010393758],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026158888,0.0005008195,0.00086888584,0.00167572,0.0025154015,0.0029646312,0.000915591,0.0006565039,0.0050096377],"category_scores_gemma":[0.0062829615,0.0007175787,0.0011998969,0.0009722892,0.0057149744,0.0065865763,0.0043539363,0.0021141788,0.0010650206],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019986393,0.00005672005,0.0018769099,0.00023763171,0.000063929416,0.00031269807,0.0013146087,0.0010979237,0.005961873,0.9726168,0.0015348973,0.014726205],"study_design_scores_gemma":[0.000036413625,0.0001377925,0.0026093207,0.000042926655,0.00006918038,0.00079947885,0.00046268693,0.0028410235,0.010945771,0.9617065,0.020269476,0.000079329315],"about_ca_topic_score_codex":0.00040724085,"about_ca_topic_score_gemma":0.0003160525,"teacher_disagreement_score":0.0050096377,"about_ca_system_score_codex":0.00060301414,"about_ca_system_score_gemma":0.00084266166,"threshold_uncertainty_score":0.016758978},"labels":[],"label_agreement":null},{"id":"W3115719742","doi":"10.1142/s0219498822500852","title":"On clean, weakly clean and feebly clean commutative group rings","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Brock University","funders":"Young Scientists Fund; Natural Sciences and Engineering Research Council of Canada","keywords":"Unit (ring theory); Noncommutative ring; Ring (chemistry); Group ring; Group (periodic table); Abelian group; Element (criminal law); Principal ideal ring; Ideal (ethics)","score_opus":0.033604930424139305,"score_gpt":0.2838287924932512,"score_spread":0.2502238620691119,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3115719742","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":[0.7621912,0.008553924,0.1637541,0.0021339105,0.00045260787,0.00013496373,0.00080956623,0.0005510607,0.06141875],"genre_scores_gemma":[0.9541018,0.0021015725,0.028333869,0.00035615588,0.0007752587,0.000078216035,0.0005147323,0.00013536782,0.0136030745],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978154,0.0005717184,0.00015358989,0.0004791363,0.0005472738,0.0004329517],"domain_scores_gemma":[0.9950187,0.0016646016,0.0011288616,0.0007886313,0.00057659106,0.0008225274],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023651246,0.0008502833,0.0010513358,0.0026055907,0.002995122,0.0029182702,0.00073125627,0.0010274079,0.0058364347],"category_scores_gemma":[0.005614363,0.00082788,0.0011858903,0.0016549771,0.007060843,0.009599527,0.0037599101,0.0021664598,0.001048619],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022968007,0.000048460068,0.0014283545,0.00013736081,0.000032133314,0.00044491026,0.0012584104,0.0018869758,0.004280501,0.9827237,0.0010333287,0.0064960564],"study_design_scores_gemma":[0.000040559167,0.00014597006,0.0026116623,0.000039906943,0.000053842352,0.0005269086,0.00065842917,0.005016805,0.0030825422,0.97769105,0.010060266,0.00007205624],"about_ca_topic_score_codex":0.0008983514,"about_ca_topic_score_gemma":0.0006053708,"teacher_disagreement_score":0.0058364347,"about_ca_system_score_codex":0.00093651563,"about_ca_system_score_gemma":0.000645764,"threshold_uncertainty_score":0.019524813},"labels":[],"label_agreement":null},{"id":"W3117285346","doi":"10.1142/s0219498822500633","title":"Duplication methods for embeddings of real division algebras","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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 Toronto","funders":"","keywords":"Unital; Mathematics; Division (mathematics); Division algebra; Algebra over a field; Pure mathematics; Combinatorics; Discrete mathematics; Algebra representation; Arithmetic","score_opus":0.05645804835658415,"score_gpt":0.3928678668745761,"score_spread":0.33640981851799195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3117285346","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":[0.21435219,0.0023578494,0.710245,0.00094854145,0.0004113992,0.00013143868,0.00016593047,0.0005031314,0.07088453],"genre_scores_gemma":[0.79893595,0.0010333088,0.15684003,0.00033162106,0.00022230131,0.00016963338,0.00019691049,0.00025376133,0.04201647],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990252,0.00024611794,0.0000674834,0.00021737425,0.00031322733,0.00013049066],"domain_scores_gemma":[0.99897313,0.00032926127,0.00015390308,0.00025534202,0.00014858301,0.00013981237],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011545456,0.0004910083,0.00039817265,0.0013828303,0.000840185,0.0018605598,0.0010661219,0.0006363088,0.007213632],"category_scores_gemma":[0.0030044974,0.0003769353,0.0007081338,0.000618926,0.0022423954,0.0036743574,0.0031267519,0.0013590623,0.001252761],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016105301,0.000014151435,0.00013791717,0.000036825873,0.000005189466,0.00007995908,0.00021860441,0.00088839827,0.0015602049,0.9869959,0.00031710198,0.009729604],"study_design_scores_gemma":[0.000021941929,0.00004637444,0.0001526029,0.000024774086,0.000012067364,0.00026879285,0.00019803426,0.012980558,0.0049044793,0.9672947,0.014073006,0.000022632177],"about_ca_topic_score_codex":0.00032131153,"about_ca_topic_score_gemma":0.0003294902,"teacher_disagreement_score":0.007213632,"about_ca_system_score_codex":0.0014815073,"about_ca_system_score_gemma":0.0005573661,"threshold_uncertainty_score":0.024131954},"labels":[],"label_agreement":null},{"id":"W3130058887","doi":"10.1142/s021949882250133x","title":"Well-rounded twists of ideal lattices from imaginary quadratic fields","year":2021,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Mathematical Dynamics and Fractals","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":"Concordia University of Edmonton","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lattice (music); Quadratic equation; Twist; Ideal (ethics); The Imaginary; Pure mathematics; Geometry; Physics; Law","score_opus":0.026001961499318015,"score_gpt":0.3127362997404951,"score_spread":0.2867343382411771,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3130058887","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":[0.8780175,0.0002614749,0.10350208,0.00017674519,0.00016001362,0.000069605616,0.00034175487,0.00032214547,0.017148625],"genre_scores_gemma":[0.9737719,0.0001364653,0.020892892,0.000048115315,0.00010285943,0.00004457206,0.00043425077,0.00012738223,0.004441574],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993917,0.00009426975,0.000036872127,0.00006713495,0.0002562119,0.0001538271],"domain_scores_gemma":[0.99845636,0.00041186946,0.00029393425,0.00023619678,0.00021843839,0.00038320574],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000704953,0.00048900314,0.00052687165,0.0016092951,0.0009552831,0.0018446504,0.0006938795,0.0003331441,0.009751001],"category_scores_gemma":[0.0027113755,0.00045221607,0.0006058037,0.00054371427,0.0021636703,0.0037823622,0.0016668942,0.0014076415,0.0010504598],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000688247,0.00010034742,0.0040674615,0.00022957072,0.00002230137,0.0007440972,0.0007929225,0.019684618,0.015312336,0.93308866,0.0021579328,0.023111487],"study_design_scores_gemma":[0.00007517115,0.0003082787,0.0016513964,0.000052712054,0.00001920367,0.0005606315,0.0007085353,0.06659739,0.013726504,0.9105831,0.0056268247,0.000090235146],"about_ca_topic_score_codex":0.0003147751,"about_ca_topic_score_gemma":0.00041838232,"teacher_disagreement_score":0.009751001,"about_ca_system_score_codex":0.00054783345,"about_ca_system_score_gemma":0.00028485042,"threshold_uncertainty_score":0.03262031},"labels":[],"label_agreement":null},{"id":"W3189966870","doi":"10.1142/s021949882250205x","title":"The fineness properties of Morita contexts","year":2021,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Unit (ring theory); Mathematics; Context (archaeology); Simple (philosophy); Matrix (chemical analysis); Combinatorics; Physics; Chemistry","score_opus":0.03695144660083069,"score_gpt":0.2767608033422322,"score_spread":0.2398093567414015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3189966870","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":[0.6449564,0.004324568,0.16998108,0.0015492375,0.0003542611,0.0001523616,0.0007510781,0.00060038525,0.17733063],"genre_scores_gemma":[0.9741833,0.00056986,0.016749466,0.00029561803,0.00027115902,0.000075699536,0.0002694972,0.00007550221,0.007509827],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99726784,0.00067028805,0.00027796807,0.0007604165,0.00057603954,0.00044751758],"domain_scores_gemma":[0.99540496,0.0018365007,0.00054584764,0.00067661767,0.00091851834,0.00061756035],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019707922,0.0006275767,0.000743298,0.0026379442,0.002565262,0.0029257608,0.00068877375,0.00080637936,0.0070101162],"category_scores_gemma":[0.00671635,0.00091434876,0.001107406,0.0011039281,0.0038023675,0.0072031426,0.0038261663,0.0019165485,0.00066504255],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007697695,0.000017182532,0.00093468465,0.00010960954,0.000028172966,0.00023255537,0.00092061237,0.00059170974,0.0027729443,0.98579246,0.000704808,0.007818283],"study_design_scores_gemma":[0.000034760862,0.000076545155,0.0028271705,0.00010841104,0.000058111375,0.00053346413,0.0006203816,0.0035021207,0.0024714747,0.9750601,0.014629973,0.000077403354],"about_ca_topic_score_codex":0.0009812233,"about_ca_topic_score_gemma":0.0010028644,"teacher_disagreement_score":0.0070101162,"about_ca_system_score_codex":0.0009975034,"about_ca_system_score_gemma":0.00040277347,"threshold_uncertainty_score":0.02345115},"labels":[],"label_agreement":null},{"id":"W3197404907","doi":"10.1142/s0219498822502292","title":"Graded torsion-free 𝔰𝔩2(ℂ)-modules of rank 2","year":2021,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Simple module; Simple (philosophy); Pure mathematics; Torsion (gastropod); Rank (graph theory); Algebra over a field; Lie algebra; Combinatorics","score_opus":0.023034863609839473,"score_gpt":0.28359877189149646,"score_spread":0.260563908281657,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3197404907","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":[0.9042548,0.0007243239,0.032494437,0.0003846072,0.00028919982,0.000062478444,0.00016965967,0.00026521084,0.061355267],"genre_scores_gemma":[0.9701717,0.00024929078,0.0046483176,0.00012010724,0.00015215372,0.000019783976,0.00012922383,0.000019520061,0.024489809],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99982303,0.000027598975,0.000009273214,0.00002374407,0.00006351328,0.00005288137],"domain_scores_gemma":[0.99965274,0.000038805178,0.00008391211,0.000035737037,0.00006339379,0.00012547866],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032284867,0.0006284303,0.0004011761,0.0010215713,0.00063678634,0.001550091,0.00066823734,0.00040387735,0.006682234],"category_scores_gemma":[0.0005658177,0.00021818088,0.000314218,0.00054368284,0.0011296985,0.002239264,0.0009703255,0.0005688385,0.000963233],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000076120705,0.000097655386,0.0015200016,0.00014330079,0.00002519416,0.0010085871,0.0009988131,0.001853414,0.018116968,0.9639553,0.00151814,0.010686549],"study_design_scores_gemma":[0.00005389394,0.00024812898,0.00312465,0.000041372386,0.000036002584,0.0014275298,0.00034297752,0.0073404843,0.0114351045,0.96157014,0.014315045,0.00006463659],"about_ca_topic_score_codex":0.00027807022,"about_ca_topic_score_gemma":0.00062091625,"teacher_disagreement_score":0.006682234,"about_ca_system_score_codex":0.0004412165,"about_ca_system_score_gemma":0.00026631635,"threshold_uncertainty_score":0.022354364},"labels":[],"label_agreement":null},{"id":"W4213099163","doi":"10.1142/s0219498823500925","title":"A non-commutative Nullstellensatz","year":2022,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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 British Columbia","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Quaternion; Commutative ring; Commutative property; Field (mathematics); Ring (chemistry); Polynomial ring; Pure mathematics; Algebra over a field; Combinatorics; Polynomial; Geometry; Mathematical analysis","score_opus":0.03209179438442857,"score_gpt":0.3233467015503469,"score_spread":0.29125490716591834,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4213099163","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":[0.5542207,0.0017951285,0.19844139,0.008726842,0.0015453539,0.00016856226,0.00069898245,0.0011700575,0.23323312],"genre_scores_gemma":[0.96536356,0.0003808834,0.012963214,0.000877416,0.0005708298,0.000066608,0.0004902768,0.00012075296,0.019166479],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974522,0.000697286,0.00013461051,0.0005336942,0.00080602104,0.00037612475],"domain_scores_gemma":[0.9926779,0.003658934,0.0005132575,0.0008624361,0.0014755246,0.00081194536],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033353993,0.00073994166,0.0008089542,0.0012677738,0.0020289575,0.0023197378,0.0014869608,0.0011124982,0.016352756],"category_scores_gemma":[0.00840412,0.0005645154,0.0010688987,0.0007731801,0.0079366835,0.006513375,0.0045057978,0.0029308093,0.002933978],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000072286675,0.00006477252,0.00043121062,0.00007259839,0.000012075385,0.000273015,0.00033855587,0.00045634763,0.00163065,0.99118465,0.0020427266,0.0034211196],"study_design_scores_gemma":[0.00009315522,0.00006486849,0.00032373832,0.000030259662,0.0000100897805,0.00041652928,0.00017124997,0.0049666604,0.0038296399,0.9805329,0.009534142,0.000026805248],"about_ca_topic_score_codex":0.0006989927,"about_ca_topic_score_gemma":0.00034114296,"teacher_disagreement_score":0.016352756,"about_ca_system_score_codex":0.0011762892,"about_ca_system_score_gemma":0.0014419524,"threshold_uncertainty_score":0.05470538},"labels":[],"label_agreement":null},{"id":"W4213415220","doi":"10.1142/s0219498823501025","title":"Generalizations of UU-rings, UJ-rings and UNJ-rings","year":2022,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Mathematics; Quotient; Category of rings; Combinatorics; Ring (chemistry); Pure mathematics; Principal ideal ring; Commutative ring","score_opus":0.026315453879002502,"score_gpt":0.2734593878197683,"score_spread":0.2471439339407658,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4213415220","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":[0.4542605,0.024913363,0.26667365,0.0018238316,0.0017326977,0.00018897901,0.00141252,0.001038588,0.24795586],"genre_scores_gemma":[0.92488354,0.005722616,0.051806353,0.00048679652,0.001042356,0.00011048206,0.00045886703,0.00010619182,0.015382732],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99886525,0.00032967908,0.00011567384,0.00030879147,0.00022249902,0.00015809307],"domain_scores_gemma":[0.9982089,0.00044557118,0.00036155086,0.000460749,0.00026411447,0.00025910902],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013361062,0.00040448265,0.00046596356,0.0016142318,0.0012551036,0.0022282063,0.0007341929,0.0002823281,0.0031844915],"category_scores_gemma":[0.0029440373,0.0002784793,0.00085972843,0.0015658797,0.0022313592,0.0049579386,0.0019853096,0.0012918125,0.0005432677],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000067269524,0.0000247187,0.0012576,0.00019841957,0.000024573326,0.00023626159,0.00057285145,0.0012732496,0.001626464,0.96409446,0.0016746977,0.028949466],"study_design_scores_gemma":[0.000015378628,0.00010494352,0.0033683104,0.000066891596,0.00007148572,0.0011071857,0.000576064,0.0060494756,0.0029603448,0.9259919,0.0596372,0.000050679708],"about_ca_topic_score_codex":0.000712611,"about_ca_topic_score_gemma":0.00061877596,"teacher_disagreement_score":0.0031844915,"about_ca_system_score_codex":0.00072903844,"about_ca_system_score_gemma":0.0005307933,"threshold_uncertainty_score":0.010653198},"labels":[],"label_agreement":null},{"id":"W4235035434","doi":"10.1142/s0219498818500755","title":"Comorphic rings","year":2017,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","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 Calgary","funders":"Akdeniz Üniversitesi; Türkiye Bilimsel ve Teknolojik Araştırma Kurumu","keywords":"Mathematics; Ideal (ethics); Combinatorics","score_opus":0.0458252242905948,"score_gpt":0.3101833333524807,"score_spread":0.2643581090618859,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4235035434","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":[0.36779,0.0066963164,0.13853826,0.0016265068,0.000795813,0.00025201775,0.0011217349,0.001473517,0.4817058],"genre_scores_gemma":[0.9306789,0.0012996383,0.02519232,0.00052376173,0.0005836101,0.00008685401,0.0004640692,0.00013679087,0.04103415],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99905044,0.0001504627,0.000074081145,0.00027450587,0.00028428936,0.00016627835],"domain_scores_gemma":[0.9990075,0.00019626845,0.0001896383,0.00023823793,0.00021563603,0.00015268938],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066528877,0.00039400786,0.00035541947,0.0010815535,0.0014713618,0.0019064042,0.00060182274,0.0003748687,0.013055091],"category_scores_gemma":[0.0013499014,0.00032263238,0.00040551307,0.00066045695,0.0030408637,0.0039146007,0.002071561,0.0008522872,0.0019670161],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004957677,0.0000147795145,0.00033312233,0.00011969301,0.00000846666,0.00018582807,0.0004635866,0.00034141616,0.0032552662,0.98055375,0.0020185853,0.012655945],"study_design_scores_gemma":[0.000032408996,0.0001566619,0.0024979198,0.00007123614,0.000044478216,0.0013846232,0.000678414,0.0028539656,0.01584606,0.81759,0.15878408,0.00006026736],"about_ca_topic_score_codex":0.00043117115,"about_ca_topic_score_gemma":0.00039816354,"teacher_disagreement_score":0.013055091,"about_ca_system_score_codex":0.00067060423,"about_ca_system_score_gemma":0.00042113726,"threshold_uncertainty_score":0.043673635},"labels":[],"label_agreement":null},{"id":"W4237247119","doi":"10.1142/s0219498817501845","title":"Rings whose cyclics are D3-modules","year":2016,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","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":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Memorial University of Newfoundland; Ohio State University","keywords":"Mathematics; Pure mathematics; Algebra over a field","score_opus":0.0280042288873953,"score_gpt":0.2822373803204132,"score_spread":0.2542331514330179,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4237247119","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":[0.6220343,0.0035173688,0.06621869,0.0016848353,0.00034022794,0.00006419621,0.00048742376,0.00030264744,0.30535024],"genre_scores_gemma":[0.9692369,0.0014842424,0.010670836,0.00044733187,0.0002878438,0.000021703703,0.0002521351,0.000041447398,0.017557576],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997156,0.00006806741,0.000017001572,0.000055728895,0.000066913715,0.000076624594],"domain_scores_gemma":[0.99865806,0.0004572675,0.0002475656,0.00014943113,0.000228871,0.00025878745],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006624016,0.00027348168,0.0002563166,0.00087595964,0.0010189508,0.0017246931,0.00033397914,0.00032334894,0.008387978],"category_scores_gemma":[0.0016598919,0.0001992118,0.00041231222,0.0011411738,0.0019190978,0.0024683024,0.0010555318,0.00056900067,0.0011133368],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004675028,0.000010196471,0.0008663046,0.00005133686,0.000007828597,0.00010707197,0.0002817811,0.0003910715,0.0012917112,0.98601717,0.0018821578,0.009046505],"study_design_scores_gemma":[0.000029870414,0.00009651009,0.0020993548,0.000049323757,0.000035365396,0.0009809439,0.00049170834,0.004315176,0.0037274957,0.94015706,0.04798162,0.00003549856],"about_ca_topic_score_codex":0.0006722615,"about_ca_topic_score_gemma":0.00056504866,"teacher_disagreement_score":0.008387978,"about_ca_system_score_codex":0.000629737,"about_ca_system_score_gemma":0.0005290981,"threshold_uncertainty_score":0.028060615},"labels":[],"label_agreement":null},{"id":"W4256640869","doi":"10.1142/s0219498817501663","title":"D4-Modules","year":2016,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":21,"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; Homomorphism; Property (philosophy); Class (philosophy); Algebra over a field; Combinatorics; Discrete mathematics; Pure mathematics; Computer science","score_opus":0.029118292497922766,"score_gpt":0.2857179695451374,"score_spread":0.25659967704721465,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4256640869","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":[0.2606994,0.0021538122,0.21214978,0.0022231725,0.00084901747,0.00025365586,0.002753972,0.0012495624,0.5176676],"genre_scores_gemma":[0.8131354,0.00079663517,0.041609123,0.0007594252,0.00029355113,0.00015619992,0.0016973057,0.0002032523,0.14134921],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994536,0.00009857842,0.000042507563,0.00012912025,0.00015453875,0.00012165243],"domain_scores_gemma":[0.99946195,0.00007760852,0.000066364875,0.000098686476,0.00019227776,0.00010308449],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053229247,0.00037951896,0.0002358966,0.001079395,0.000905077,0.0014994272,0.0005293672,0.00036950578,0.020724807],"category_scores_gemma":[0.0008466327,0.00023658946,0.00050524535,0.00052413525,0.0013732277,0.0022696326,0.0026028263,0.0007501174,0.0032832592],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006880985,0.000027043125,0.00073263043,0.00011142929,0.000017668985,0.00014255925,0.0002586718,0.00028147618,0.0042859702,0.9692648,0.0038397545,0.020969102],"study_design_scores_gemma":[0.00004565106,0.00006296735,0.0016497187,0.000020642843,0.000026369404,0.00061821373,0.00029564305,0.002297981,0.010315399,0.7852889,0.19934599,0.00003245454],"about_ca_topic_score_codex":0.00036271315,"about_ca_topic_score_gemma":0.0002463026,"teacher_disagreement_score":0.020724807,"about_ca_system_score_codex":0.00083350233,"about_ca_system_score_gemma":0.00038213615,"threshold_uncertainty_score":0},"labels":[],"label_agreement":null},{"id":"W4309323263","doi":"10.1142/s0219498824500683","title":"Symbolic power decompositions of disjoint cycle graphs","year":2022,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Commutative Algebra and Its Applications","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 Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Disjoint sets; Ideal (ethics); Combinatorics; Symbolic power; Simple (philosophy); Graph; Connection (principal bundle); Enhanced Data Rates for GSM Evolution; Discrete mathematics; Computer science; Geometry","score_opus":0.018780463198359156,"score_gpt":0.2992342573575756,"score_spread":0.28045379415921645,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4309323263","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":[0.59569556,0.0012773193,0.2835109,0.0006761118,0.0003365838,0.00010078562,0.00028904725,0.00034463158,0.117769025],"genre_scores_gemma":[0.9554403,0.0005833121,0.024067812,0.00017474298,0.00020121637,0.000066729604,0.00028018787,0.00021306057,0.01897266],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951315,0.00008401538,0.000022688879,0.00007553906,0.00018635698,0.00011833353],"domain_scores_gemma":[0.9991227,0.00027368244,0.00013768469,0.000105803265,0.00018738318,0.00017280848],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045478347,0.0005808165,0.00044721656,0.0027183974,0.000799475,0.0013347073,0.0006626106,0.00035203513,0.008504465],"category_scores_gemma":[0.0018892571,0.0003049893,0.00057307945,0.00097611774,0.0022607022,0.0033430215,0.0014285207,0.0012207446,0.00088799745],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004492972,0.000018222108,0.00024129887,0.00004042566,0.000006284391,0.00013842588,0.00027941682,0.0022128592,0.002215565,0.9857556,0.00063721347,0.008409738],"study_design_scores_gemma":[0.000011575838,0.000014325612,0.00020131528,0.000016738788,0.0000070376054,0.00007314948,0.00010019568,0.011439547,0.0014729939,0.98326164,0.003390321,0.000011225113],"about_ca_topic_score_codex":0.0007807963,"about_ca_topic_score_gemma":0.00085296034,"teacher_disagreement_score":0.008504465,"about_ca_system_score_codex":0.0008461742,"about_ca_system_score_gemma":0.0003503596,"threshold_uncertainty_score":0.02845031},"labels":[],"label_agreement":null},{"id":"W4315574855","doi":"10.1142/s0219498825500094","title":"Normality and associated primes of closed neighborhood ideals and dominating ideals","year":2023,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Commutative Algebra and Its Applications","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":"Queen's University","funders":"","keywords":"Mathematics; Normality; Bipartite graph; Torsion (gastropod); Associated prime; Monomial ideal; Combinatorics; Monomial; Pure mathematics; Discrete mathematics; Graph; Polynomial ring; Polynomial; Mathematical analysis; Prime (order theory); Statistics","score_opus":0.03775178616960688,"score_gpt":0.3351878345995634,"score_spread":0.2974360484299565,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4315574855","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":[0.81235844,0.00050453824,0.12300333,0.0009130489,0.00023109427,0.000099916426,0.0004634405,0.00029306643,0.062133174],"genre_scores_gemma":[0.98147005,0.00017672793,0.011496941,0.000074294665,0.00019623042,0.00004313168,0.00030772734,0.000056287157,0.006178694],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988669,0.00019246555,0.000081387625,0.00031167633,0.00034727124,0.00020033741],"domain_scores_gemma":[0.9968862,0.001231499,0.00038656194,0.0002554139,0.0006599558,0.0005804299],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010672936,0.00030625358,0.00055508246,0.0010698941,0.0013986662,0.0020353913,0.0005862092,0.00039165234,0.0041080522],"category_scores_gemma":[0.0038405766,0.00031746883,0.0005328887,0.0004601688,0.004101448,0.0044679856,0.0018325556,0.0014758685,0.00061084115],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013500251,0.00003911193,0.0021769102,0.000049491693,0.000008446103,0.0002767455,0.0006161025,0.000807637,0.005181702,0.9844779,0.0006221898,0.005608845],"study_design_scores_gemma":[0.000039288392,0.00008250375,0.0015157117,0.000016437798,0.0000134206575,0.0006954085,0.00056891906,0.0078804465,0.00894362,0.9752818,0.004928061,0.00003446521],"about_ca_topic_score_codex":0.0005704005,"about_ca_topic_score_gemma":0.0005000086,"teacher_disagreement_score":0.0041080522,"about_ca_system_score_codex":0.0009381223,"about_ca_system_score_gemma":0.0006258923,"threshold_uncertainty_score":0.013742745},"labels":[],"label_agreement":null},{"id":"W4321322006","doi":"10.1142/s0219498825502214","title":"Study of a division-like property","year":2024,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Divisibility rule; Mathematics; Noncommutative geometry; Noetherian; Division (mathematics); Division ring; Property (philosophy); Pure mathematics; Construct (python library); Ring (chemistry); Noetherian ring; Discrete mathematics; Algebra over a field; Finitely-generated abelian group; Arithmetic; Computer science","score_opus":0.043986958942633776,"score_gpt":0.3138447821775114,"score_spread":0.2698578232348776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4321322006","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":[0.8216911,0.002253822,0.08225243,0.0021670165,0.00023552809,0.000068605106,0.00017501177,0.00012643162,0.09103018],"genre_scores_gemma":[0.98640823,0.00046000877,0.0074615157,0.00010629687,0.00019183043,0.00002156545,0.00010483319,0.0000203684,0.0052252966],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993662,0.00016140513,0.000036016412,0.00017019709,0.00018869255,0.00007748218],"domain_scores_gemma":[0.9968541,0.0017194689,0.0004177708,0.00038947054,0.00034961008,0.0002695595],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014181081,0.00046081803,0.00061388017,0.00083767803,0.001171042,0.0016414383,0.0008056037,0.00064529397,0.004251269],"category_scores_gemma":[0.0048234644,0.00025710522,0.00044890784,0.0007692548,0.0031723029,0.00474045,0.001564595,0.0013701707,0.00034295965],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028436993,0.000032711585,0.0010160871,0.000089225796,0.0000099216195,0.00019876726,0.00020646695,0.0012033491,0.0019744947,0.991458,0.00045655773,0.0033259932],"study_design_scores_gemma":[0.000033777793,0.000120608944,0.0012909549,0.00004717006,0.000021734873,0.00073644664,0.000285322,0.01763865,0.0059047462,0.9656413,0.008259692,0.00001948883],"about_ca_topic_score_codex":0.00025929368,"about_ca_topic_score_gemma":0.00013592522,"teacher_disagreement_score":0.004251269,"about_ca_system_score_codex":0.00093963405,"about_ca_system_score_gemma":0.00037608517,"threshold_uncertainty_score":0.014221907},"labels":[],"label_agreement":null},{"id":"W4363676830","doi":"10.1142/s0219498824501743","title":"On the structure of ideals in a family of skew polynomial rings","year":2023,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Simon Fraser University","funders":"","keywords":"Mathematics; Polynomial ring; Quotient; Prime (order theory); Ring (chemistry); Skew; Prime ring; Combinatorics; Principal ideal ring; Polynomial; Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.03653175537533565,"score_gpt":0.3168169645869991,"score_spread":0.28028520921166344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4363676830","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":[0.8277204,0.001817376,0.13535592,0.00096139684,0.00009611599,0.00007887398,0.00018603115,0.00018520835,0.033598695],"genre_scores_gemma":[0.9592631,0.0005925579,0.0346451,0.00006689572,0.00015208844,0.000031256663,0.00017829811,0.00003666611,0.005034067],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99936885,0.00016310644,0.000027733897,0.00014312114,0.00020203518,0.00009508436],"domain_scores_gemma":[0.998103,0.0006858209,0.0003467387,0.00014765782,0.0003403868,0.00037632606],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016093634,0.00034008827,0.00046196085,0.0017599192,0.0021607298,0.0018971891,0.0005871396,0.0003828488,0.0031759825],"category_scores_gemma":[0.0024740915,0.0003009992,0.0004889817,0.001079594,0.0031850534,0.0054164166,0.0015405237,0.0009522044,0.00041819367],"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":[0.00008483639,0.00004124427,0.0022036766,0.000059186616,0.000011273793,0.00038857214,0.0012817343,0.0015696838,0.002563723,0.9835491,0.00049051945,0.0077564158],"study_design_scores_gemma":[0.000040843017,0.00012973521,0.0019376423,0.000034751592,0.00002619313,0.0008631653,0.00082359376,0.01625512,0.0043037473,0.9671532,0.008397488,0.000034589346],"about_ca_topic_score_codex":0.00038319186,"about_ca_topic_score_gemma":0.00025338915,"teacher_disagreement_score":0.0031759825,"about_ca_system_score_codex":0.00079842826,"about_ca_system_score_gemma":0.0005540195,"threshold_uncertainty_score":0.010624707},"labels":[],"label_agreement":null},{"id":"W4383041039","doi":"10.1142/s0219498825500033","title":"On (distance) Laplacian characteristic polynomials of power graphs","year":2023,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Graph theory and applications","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":"Polytechnique Montréal; Group for Research in Decision Analysis","funders":"","keywords":"Mathematics; Laplace operator; Combinatorics; Characteristic polynomial; Discrete mathematics; Pure mathematics; Polynomial; Mathematical analysis","score_opus":0.023456976945466685,"score_gpt":0.2993328147377801,"score_spread":0.27587583779231345,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4383041039","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":[0.7094486,0.0012346697,0.1735599,0.00199491,0.00031779995,0.00004209332,0.00033786343,0.00020975387,0.112854406],"genre_scores_gemma":[0.9856507,0.00076741975,0.005671289,0.00012251012,0.0002791996,0.000020358853,0.00009359206,0.00004366829,0.007351305],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99964535,0.00006867853,0.0000075109356,0.00007533501,0.00010623636,0.000096911856],"domain_scores_gemma":[0.9980672,0.0010080456,0.00026639676,0.000100573474,0.0003053345,0.00025255032],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00056966674,0.0005432835,0.00033513474,0.0021032868,0.0006703432,0.0014028236,0.0005835876,0.00042819802,0.006351142],"category_scores_gemma":[0.0050255735,0.00019990059,0.0002950567,0.0015692628,0.002637534,0.0026750178,0.0012198427,0.0014619672,0.0008292102],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000480456,0.000016618153,0.00043747394,0.0000458911,0.0000029157907,0.00010355813,0.00020879056,0.0047355387,0.002043285,0.981614,0.0011278256,0.00961606],"study_design_scores_gemma":[0.000010567554,0.000024779498,0.0006676429,0.000018408307,0.000004714219,0.00014306666,0.000140658,0.022114426,0.0011053631,0.9738173,0.0019332941,0.000019917283],"about_ca_topic_score_codex":0.001669231,"about_ca_topic_score_gemma":0.0012721531,"teacher_disagreement_score":0.006351142,"about_ca_system_score_codex":0.001062817,"about_ca_system_score_gemma":0.00051384827,"threshold_uncertainty_score":0.021246672},"labels":[],"label_agreement":null},{"id":"W4385606191","doi":"10.1142/s0219498825500185","title":"On non-counital Frobenius algebras","year":2023,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Algebraic structures and combinatorial models","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":"Division of Mathematical Sciences","keywords":"Mathematics; Frobenius algebra; Bimodule; Injective function; Conjecture; Pure mathematics; Frobenius theorem (differential topology); Hopf algebra; Algebra over a field; Algebra representation; Geometry","score_opus":0.024590697460734764,"score_gpt":0.29854472192492126,"score_spread":0.2739540244641865,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385606191","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":[0.858414,0.0014423935,0.070524685,0.0005656138,0.00013922778,0.000049115675,0.00010297331,0.00015202789,0.06860991],"genre_scores_gemma":[0.9744232,0.0007372892,0.010916388,0.00009008279,0.000186878,0.000038068665,0.00008300906,0.000025832349,0.013499069],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996462,0.00007820516,0.000019911176,0.000060147362,0.00012206801,0.00007355535],"domain_scores_gemma":[0.99948955,0.00014745134,0.000082356375,0.00007935256,0.000097172786,0.00010406702],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00076102227,0.0005068026,0.00033042542,0.00089012325,0.0009104212,0.0013727263,0.0005392475,0.00040783916,0.0026308305],"category_scores_gemma":[0.001228453,0.00021185627,0.00036532662,0.00065958285,0.0020280771,0.0036462399,0.001336126,0.0008882098,0.00047071624],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001899757,0.000020599673,0.00043064138,0.000034975154,0.000004915441,0.00020747197,0.00025520023,0.0010513655,0.0032852376,0.9903521,0.00019131925,0.004147295],"study_design_scores_gemma":[0.000006528431,0.000037272115,0.00058802695,0.000016689386,0.0000061604683,0.00031823927,0.00014801857,0.008986664,0.0034320464,0.982192,0.0042521143,0.000016226077],"about_ca_topic_score_codex":0.00050017255,"about_ca_topic_score_gemma":0.0004810124,"teacher_disagreement_score":0.0026308305,"about_ca_system_score_codex":0.00068535417,"about_ca_system_score_gemma":0.00043891245,"threshold_uncertainty_score":0.008800983},"labels":[],"label_agreement":null},{"id":"W4386422429","doi":"10.1142/s0219498825500513","title":"On hypercyclic rings","year":2023,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","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":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Injective function; Ring (chemistry); Pure mathematics; Subject (documents); Discrete mathematics; Computer science; Library science","score_opus":0.03755353928556367,"score_gpt":0.3009496514129907,"score_spread":0.26339611212742703,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386422429","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":[0.07838377,0.11707877,0.19608776,0.010905227,0.003857704,0.00016403914,0.00096997875,0.0002701197,0.59228265],"genre_scores_gemma":[0.6761262,0.14919059,0.058155302,0.010430751,0.01882533,0.0002670122,0.0010516115,0.0002917453,0.08566156],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99796486,0.00060006615,0.00010948462,0.00040721265,0.00062763866,0.00029076973],"domain_scores_gemma":[0.9978022,0.0010760672,0.00025339075,0.00028667678,0.00040824406,0.00017350158],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020537055,0.0010087423,0.0007857427,0.0034733238,0.0018967196,0.00322244,0.0009461553,0.0014274917,0.008679932],"category_scores_gemma":[0.0034149822,0.00044887813,0.0007393088,0.0039364058,0.006943276,0.01333381,0.0039591757,0.0028442985,0.002205113],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009760499,0.000009028967,0.0001630232,0.000105005434,0.0000052819005,0.00010003333,0.00038387693,0.00051801256,0.00064603135,0.98738086,0.0022463745,0.008432626],"study_design_scores_gemma":[0.0000059487575,0.00003240021,0.00046205777,0.00014114818,0.000010093395,0.00028066945,0.00018924134,0.00082401774,0.0005353902,0.9262412,0.07124966,0.000028250479],"about_ca_topic_score_codex":0.0016572406,"about_ca_topic_score_gemma":0.00108015,"teacher_disagreement_score":0.008679932,"about_ca_system_score_codex":0.0015942317,"about_ca_system_score_gemma":0.000812677,"threshold_uncertainty_score":0.029037237},"labels":[],"label_agreement":null},{"id":"W4392559846","doi":"10.1142/s0219498825502366","title":"On characteristic classes modulo torsion for spin groups","year":2024,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Homotopy and Cohomology in 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":"University of Alberta","funders":"","keywords":"Mathematics; Modulo; Torsion (gastropod); Pure mathematics; Torsion subgroup; Algebra over a field; Discrete mathematics; Abelian group","score_opus":0.026916014457042014,"score_gpt":0.3343042085005401,"score_spread":0.3073881940434981,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392559846","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":[0.9436409,0.0011615644,0.013383729,0.00091962784,0.00015631385,0.00003676996,0.000113497445,0.00010951654,0.040478118],"genre_scores_gemma":[0.99273914,0.00039109672,0.001917493,0.000059268972,0.0002908102,0.000020025182,0.000093626164,0.000026116091,0.0044625136],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990429,0.00016326299,0.000034521152,0.00020799789,0.00025754972,0.0002937047],"domain_scores_gemma":[0.9982864,0.00058658863,0.00031418898,0.00011321001,0.00016599994,0.0005336164],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011950663,0.000639807,0.0008922691,0.004027674,0.0019133267,0.0032621578,0.0008478162,0.00060677214,0.0065715173],"category_scores_gemma":[0.002695634,0.0003270429,0.0005818695,0.0017234957,0.0044625527,0.006084964,0.002812502,0.001586823,0.00054033],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010233481,0.000079839934,0.003189131,0.00008325571,0.00001815889,0.00042191462,0.0012381787,0.0012344,0.0024806405,0.9790837,0.00081294373,0.011255494],"study_design_scores_gemma":[0.00007874451,0.00014853913,0.006109676,0.000054289918,0.000048651804,0.00079833483,0.00086871244,0.010159635,0.0027551418,0.9719498,0.006970871,0.00005760786],"about_ca_topic_score_codex":0.0010733533,"about_ca_topic_score_gemma":0.0006889753,"teacher_disagreement_score":0.0065715173,"about_ca_system_score_codex":0.0021275168,"about_ca_system_score_gemma":0.0007684599,"threshold_uncertainty_score":0.021983981},"labels":[],"label_agreement":null},{"id":"W4399374800","doi":"10.1142/s0219498825503207","title":"Products and powers of principal symmetric ideals","year":2024,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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 Toronto","funders":"National Science Foundation","keywords":"Mathematics; Principal (computer security); Pure mathematics; Computer science","score_opus":0.03489394494518113,"score_gpt":0.3278358595439231,"score_spread":0.29294191459874197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399374800","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":[0.6574202,0.0017753382,0.25548637,0.0010684759,0.0004585205,0.000098936776,0.00025153274,0.00028341063,0.08315712],"genre_scores_gemma":[0.9678279,0.00052193884,0.019724056,0.000096322554,0.00034588977,0.000032402404,0.0001476879,0.00007876687,0.011225045],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99857056,0.00027760508,0.00010198223,0.00033175742,0.00047825536,0.0002397585],"domain_scores_gemma":[0.99798155,0.00066760613,0.00036139923,0.00031180924,0.00034120856,0.00033642002],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016288776,0.00040770834,0.0004877325,0.0010783894,0.0011770839,0.0021083078,0.0005402981,0.00037620132,0.0043058638],"category_scores_gemma":[0.0034752437,0.0004431211,0.0008148992,0.0005562678,0.0041819126,0.007128121,0.0024968444,0.0013578262,0.0007767728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000441954,0.00001471455,0.00039927274,0.00003705756,0.000006747402,0.00016723416,0.0003920972,0.00046601542,0.0026362562,0.9914159,0.00036609746,0.004054274],"study_design_scores_gemma":[0.000015691896,0.000054174463,0.0004969323,0.0000147976825,0.000010061786,0.0003882008,0.0002615254,0.0040738755,0.0064810407,0.97967166,0.008516109,0.000015920277],"about_ca_topic_score_codex":0.00021707636,"about_ca_topic_score_gemma":0.00016750558,"teacher_disagreement_score":0.0043058638,"about_ca_system_score_codex":0.00056906574,"about_ca_system_score_gemma":0.00045520742,"threshold_uncertainty_score":0.014404595},"labels":[],"label_agreement":null},{"id":"W4400794568","doi":"10.1142/s0219498825503608","title":"Exceptional sequences in semidistributive lattices and the poset topology of wide subcategories","year":2024,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; Université de Sherbrooke","funders":"","keywords":"Partially ordered set; Mathematics; Topology (electrical circuits); Pure mathematics; Combinatorics; Discrete mathematics","score_opus":0.010182981918892898,"score_gpt":0.26558169717650815,"score_spread":0.25539871525761526,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400794568","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":[0.63965356,0.0012957356,0.26015,0.00091619923,0.00021487073,0.00008270187,0.0003440613,0.00048736812,0.09685546],"genre_scores_gemma":[0.9552019,0.0003640732,0.031001296,0.00013734431,0.00013352743,0.000095034055,0.00031094358,0.00008279584,0.012672996],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987527,0.00031877647,0.00008832573,0.00023013001,0.00039024916,0.00021972587],"domain_scores_gemma":[0.9981515,0.0005617121,0.00023568257,0.00019203774,0.00035946793,0.0004995347],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011777718,0.0004501055,0.0003763529,0.002433252,0.0019393067,0.0033725472,0.0008581942,0.0005728531,0.004630696],"category_scores_gemma":[0.0024221463,0.00040332368,0.0007692578,0.001307858,0.0049108528,0.006604447,0.0027403254,0.0014453166,0.0006537255],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011283567,0.000009742155,0.00022724444,0.0000141843,0.0000019963782,0.000094077404,0.0005821509,0.00052103796,0.00070951914,0.9952878,0.00012489359,0.0024161814],"study_design_scores_gemma":[0.000007849084,0.000025313871,0.00040736012,0.000015298303,0.0000042744177,0.00020260921,0.0004566372,0.0038734917,0.0019031069,0.98681074,0.006275326,0.000017994083],"about_ca_topic_score_codex":0.0010714674,"about_ca_topic_score_gemma":0.0010176809,"teacher_disagreement_score":0.004630696,"about_ca_system_score_codex":0.0015058345,"about_ca_system_score_gemma":0.0006797043,"threshold_uncertainty_score":0.015491188},"labels":[],"label_agreement":null},{"id":"W4400987004","doi":"10.1142/s0219498825503621","title":"The h-vectors of edge rings of odd cycle compositions","year":2024,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"McMaster University","funders":"Japan Society for the Promotion of Science; Mitacs","keywords":"Mathematics; Enhanced Data Rates for GSM Evolution; Combinatorics; Pure mathematics; Computer science; Artificial intelligence","score_opus":0.019901312749971964,"score_gpt":0.28903966805792924,"score_spread":0.26913835530795727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400987004","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":[0.9537523,0.00033405362,0.030507045,0.00009507625,0.000056836652,0.000034848177,0.00029613523,0.00015017796,0.014773559],"genre_scores_gemma":[0.9900428,0.00015923781,0.006534986,0.00003701199,0.00004624103,0.000021321881,0.00024547058,0.00005308426,0.0028597922],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99959165,0.00009047676,0.000020726884,0.0000868215,0.000082698985,0.0001276281],"domain_scores_gemma":[0.99944144,0.00010648294,0.00018805891,0.000049758135,0.00008448338,0.0001298528],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042935496,0.0003534209,0.0002798607,0.0018290203,0.00073230267,0.0014668284,0.00055266643,0.00031137874,0.0047486285],"category_scores_gemma":[0.0011307639,0.0002493119,0.00032440832,0.00077112456,0.0012049021,0.0021134575,0.0007929614,0.00045668276,0.0005047137],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023080813,0.00006366392,0.004918641,0.00012318772,0.00003433753,0.00034000448,0.0004042924,0.0045925383,0.01113725,0.9541153,0.0015853291,0.022454698],"study_design_scores_gemma":[0.000077575365,0.0002534699,0.013341809,0.000063177526,0.00008572368,0.0009596418,0.0010333472,0.035469,0.029146852,0.90451133,0.014908281,0.00014976291],"about_ca_topic_score_codex":0.00044969228,"about_ca_topic_score_gemma":0.00039145938,"teacher_disagreement_score":0.0047486285,"about_ca_system_score_codex":0.00042790076,"about_ca_system_score_gemma":0.00036128113,"threshold_uncertainty_score":0.01588577},"labels":[],"label_agreement":null},{"id":"W4407425296","doi":"10.1142/s0219498826501677","title":"Nil clean group rings over metacyclic groups","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brock University","funders":"Natural Science Foundation of Anhui Province; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Group (periodic table); Pure mathematics; Chemistry","score_opus":0.01989243033532409,"score_gpt":0.2894779275135603,"score_spread":0.2695854971782362,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407425296","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":[0.8933849,0.001032727,0.054499365,0.00030541432,0.00014370376,0.00007456526,0.00032198307,0.00032420372,0.049913194],"genre_scores_gemma":[0.98371696,0.00024726274,0.011455453,0.000060504437,0.00013955883,0.000018902516,0.00012599435,0.00003223304,0.004203098],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932456,0.00009238538,0.00004913209,0.00011032435,0.00023861784,0.00018510243],"domain_scores_gemma":[0.99866915,0.0002056271,0.00044901483,0.00022976562,0.0002008107,0.00024563284],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007021948,0.0002889652,0.0003095262,0.0013452402,0.0009906372,0.0015438645,0.0003371996,0.00025452476,0.004072717],"category_scores_gemma":[0.0012825944,0.00022170729,0.00027051062,0.0007762793,0.001870927,0.002230716,0.0015183483,0.0005701271,0.00061045267],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023469576,0.00003678661,0.0028841353,0.00015517489,0.000026675098,0.00041362923,0.00079436466,0.0014730454,0.023954948,0.9478219,0.0013169742,0.020887626],"study_design_scores_gemma":[0.00005334889,0.0002748478,0.006382299,0.000050223294,0.00006704488,0.0015524117,0.00085212477,0.0054931697,0.059686568,0.88362044,0.041865803,0.00010180615],"about_ca_topic_score_codex":0.00022813659,"about_ca_topic_score_gemma":0.00026745044,"teacher_disagreement_score":0.004072717,"about_ca_system_score_codex":0.00031937895,"about_ca_system_score_gemma":0.0003218677,"threshold_uncertainty_score":0.0136246085},"labels":[],"label_agreement":null},{"id":"W4408676954","doi":"10.1142/s0219498826502063","title":"Generalized derivations of ω-Lie algebras","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"Concordia University of Edmonton; University of Saskatchewan","funders":"University of Saskatchewan","keywords":"Mathematics; Pure mathematics; Lie algebra; Algebra over a field","score_opus":0.031725844178972826,"score_gpt":0.33894948632313965,"score_spread":0.3072236421441668,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408676954","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":[0.6554336,0.0015756784,0.2684689,0.00076608465,0.0002828203,0.00009043265,0.00015827,0.0002616279,0.07296266],"genre_scores_gemma":[0.96100336,0.0007048214,0.02738795,0.00015798486,0.0001337481,0.00003220468,0.00008145449,0.000070989394,0.010427488],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995704,0.000099049656,0.000030060493,0.000087824126,0.00016447045,0.00004820817],"domain_scores_gemma":[0.9996358,0.000069789276,0.000058644728,0.00006666875,0.00010858043,0.000060471353],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047906174,0.00042003553,0.0003114408,0.0006738658,0.00074212375,0.0011448669,0.00055727904,0.00042133126,0.0034043316],"category_scores_gemma":[0.0014487642,0.00025137173,0.000467574,0.00048929336,0.0017320425,0.0038523613,0.0013964223,0.0008984516,0.0007046618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006422322,0.0000056715176,0.00015154344,0.00001638659,0.000004114113,0.00009786536,0.00014031847,0.0008827152,0.001247151,0.99380094,0.00014488705,0.0035019473],"study_design_scores_gemma":[0.000005459248,0.000013609952,0.00014506723,0.000009972849,0.0000031882557,0.0001126889,0.00006210549,0.0049183066,0.0010765127,0.99065584,0.0029893692,0.000008019754],"about_ca_topic_score_codex":0.0004730501,"about_ca_topic_score_gemma":0.00047479814,"teacher_disagreement_score":0.0034043316,"about_ca_system_score_codex":0.0005115282,"about_ca_system_score_gemma":0.0004548771,"threshold_uncertainty_score":0.0113886},"labels":[],"label_agreement":null},{"id":"W4408802253","doi":"10.1142/s0219498825420010","title":"Zero-divisors and eversible rings: Examples and counter-examples","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Rings, Modules, and Algebras","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":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Zero divisor; Zero (linguistics); Combinatorics; Pure mathematics; Linguistics","score_opus":0.03020793135154281,"score_gpt":0.28598897074897794,"score_spread":0.25578103939743513,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408802253","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":[0.21737671,0.032058056,0.1554311,0.010933997,0.0021580092,0.00021004274,0.00039208142,0.0009193129,0.5805206],"genre_scores_gemma":[0.8792639,0.018516745,0.055305585,0.0014184157,0.001041003,0.00012802877,0.00024985455,0.00012256853,0.04395388],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987739,0.00037134788,0.00009140525,0.00015064458,0.00046428203,0.00014848342],"domain_scores_gemma":[0.99759907,0.0014750735,0.00021325078,0.0002427653,0.0002947037,0.00017521533],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017467337,0.00068340206,0.00059111905,0.0023486665,0.0023061826,0.002493895,0.0007989009,0.0015798467,0.009747918],"category_scores_gemma":[0.0059869494,0.00032447668,0.0006776891,0.0024910304,0.004797475,0.0067216647,0.003663724,0.0022023825,0.0012600188],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050361676,0.000029229273,0.00039829753,0.0001771864,0.000010976627,0.0005306554,0.0005739646,0.0003175034,0.0004081442,0.98529136,0.0037329234,0.00847944],"study_design_scores_gemma":[0.000043760116,0.000038916376,0.0005653858,0.00019460621,0.000034370714,0.0024725082,0.0010425032,0.0015304971,0.0016972924,0.9007882,0.09155432,0.000037666563],"about_ca_topic_score_codex":0.000248121,"about_ca_topic_score_gemma":0.0003797799,"teacher_disagreement_score":0.009747918,"about_ca_system_score_codex":0.0005924527,"about_ca_system_score_gemma":0.00036161262,"threshold_uncertainty_score":0.03261006},"labels":[],"label_agreement":null},{"id":"W4410325722","doi":"10.1142/s0219498826502154","title":"Algebraic properties of finite simple groups via the (r,k)-bonacci sequence and more","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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 Victoria","funders":"","keywords":"Mathematics; Simple (philosophy); Sequence (biology); Algebraic number; Pure mathematics; Classification of finite simple groups; Simple group; Algebra over a field; Combinatorics; Discrete mathematics; Group of Lie type; Group theory; Mathematical analysis","score_opus":0.05869782138084314,"score_gpt":0.33507605385461564,"score_spread":0.2763782324737725,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410325722","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":[0.8333734,0.0018597414,0.047641624,0.0008330383,0.00021663088,0.000049437076,0.00016813776,0.0001404297,0.1157174],"genre_scores_gemma":[0.98574114,0.00042053728,0.006336989,0.00010767883,0.00018501602,0.000025239937,0.00008826254,0.000022640215,0.0070723933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996841,0.0000692138,0.000020492891,0.00007208285,0.000079391626,0.00007480591],"domain_scores_gemma":[0.9993223,0.00019959746,0.00019262252,0.00007177139,0.00008846776,0.00012518586],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046193117,0.00045368558,0.00032617166,0.0015316498,0.0009172859,0.0015188153,0.00032332024,0.00047409444,0.006342623],"category_scores_gemma":[0.001571612,0.0001481478,0.00040713703,0.0006900892,0.0016961957,0.0024466407,0.000685752,0.00063370133,0.00067908235],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000103430204,0.000032676748,0.0014324457,0.00011746596,0.000009645826,0.00024370798,0.00088788,0.0025658333,0.007863113,0.9651483,0.00047324208,0.021122208],"study_design_scores_gemma":[0.00002341068,0.00020404997,0.0041295025,0.00005816583,0.000016579648,0.00097621145,0.0004198139,0.008085012,0.005969707,0.96591425,0.014146131,0.000057147412],"about_ca_topic_score_codex":0.00053025596,"about_ca_topic_score_gemma":0.00043891417,"teacher_disagreement_score":0.006342623,"about_ca_system_score_codex":0.00077638996,"about_ca_system_score_gemma":0.00044294624,"threshold_uncertainty_score":0.02121818},"labels":[],"label_agreement":null},{"id":"W4413432818","doi":"10.1142/s0219498827500162","title":"Principal well-rounded ideals of real quadratic fields","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Commutative Algebra and Its Applications","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; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Principal (computer security); Quadratic equation; Pure mathematics; Geometry; Computer science","score_opus":0.029619908218110527,"score_gpt":0.34564525794698264,"score_spread":0.31602534972887214,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413432818","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":[0.49569055,0.0005201481,0.48162776,0.0006689454,0.00012194838,0.00035417514,0.0002518401,0.0015032969,0.019261312],"genre_scores_gemma":[0.81740755,0.00025925427,0.1767857,0.0001012573,0.00013401535,0.00008126551,0.00036506655,0.0001541722,0.0047117053],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979234,0.0003532965,0.0001925456,0.00058833463,0.00070510566,0.00023723932],"domain_scores_gemma":[0.9911568,0.0043554413,0.0013411762,0.0016019371,0.0008512482,0.0006934076],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033186546,0.00043996517,0.00072209525,0.0011047439,0.0012462182,0.0025280674,0.0006743521,0.00039173805,0.0058320593],"category_scores_gemma":[0.011083976,0.0008083524,0.001144161,0.00058958493,0.003427561,0.005879352,0.0021433013,0.0016801778,0.0014841775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010341292,0.00021589405,0.0107291555,0.00061374926,0.00006101872,0.001272602,0.0024282602,0.018564647,0.045457482,0.8229892,0.002750948,0.09388291],"study_design_scores_gemma":[0.00014366738,0.0005379089,0.0035002271,0.00013218583,0.000080513346,0.0023094185,0.0010002201,0.08650691,0.1031766,0.7868849,0.015621561,0.000105824125],"about_ca_topic_score_codex":0.00016897275,"about_ca_topic_score_gemma":0.00022384238,"teacher_disagreement_score":0.0058320593,"about_ca_system_score_codex":0.0006466398,"about_ca_system_score_gemma":0.00072564237,"threshold_uncertainty_score":0.01951015},"labels":[],"label_agreement":null},{"id":"W4414393610","doi":"10.1142/s0219498827500423","title":"A generalization of (D + M)-construction","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Constraint Satisfaction and Optimization","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":"St. Francis Xavier University","funders":"","keywords":"Subring; Multiplicative function; Prime ideal; Algebra over a field; Valuation ring; Ideal (ethics); Integral domain; Von Neumann architecture; Commutative algebra","score_opus":0.0055575224939623255,"score_gpt":0.238142682624167,"score_spread":0.23258516013020467,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414393610","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":[0.040211134,0.0015468011,0.716372,0.0023722842,0.0014557616,0.0002522317,0.0012020385,0.0033410985,0.23324661],"genre_scores_gemma":[0.56335896,0.0011907935,0.3289821,0.0025895548,0.0005496507,0.0005082008,0.001711751,0.0014443838,0.09966466],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870324,0.0002611637,0.00010077865,0.0005078185,0.00019171083,0.00023536284],"domain_scores_gemma":[0.9991856,0.000119186974,0.000038537717,0.00041459463,0.00014048118,0.000101514874],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011239584,0.0006340082,0.0007617943,0.0015173005,0.0020515574,0.0021071776,0.001826774,0.001051077,0.018650863],"category_scores_gemma":[0.001476767,0.00060701685,0.0016101443,0.0013622254,0.0028934043,0.00524028,0.0077506765,0.002205308,0.005732586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000711371,0.000035952537,0.0005926778,0.00018990257,0.00001778007,0.0002839512,0.0005120162,0.00061316177,0.00371663,0.9466708,0.008843874,0.038452018],"study_design_scores_gemma":[0.000055499288,0.00008946857,0.0007846066,0.00006826796,0.00006092702,0.0014683321,0.00041075333,0.008710572,0.007537757,0.7072258,0.27352205,0.00006609171],"about_ca_topic_score_codex":0.0010687832,"about_ca_topic_score_gemma":0.00085874996,"teacher_disagreement_score":0.018650863,"about_ca_system_score_codex":0.0014760246,"about_ca_system_score_gemma":0.0009022416,"threshold_uncertainty_score":0.062393367},"labels":[],"label_agreement":null},{"id":"W4415737522","doi":"10.1142/s0219498827500666","title":"Essential dimension of small finite groups","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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 British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Dimension (graph theory); Finite group; Order (exchange); Group (periodic table); Algebra over a field; Classification of finite simple groups; Effective dimension; Lebesgue covering dimension","score_opus":0.031194198375027377,"score_gpt":0.3235469670764949,"score_spread":0.29235276870146754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415737522","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":[0.9677105,0.00028664817,0.019660627,0.00014943417,0.000039885632,0.000009589381,0.00009003499,0.0000666443,0.011986625],"genre_scores_gemma":[0.9974987,0.000060417275,0.0016755263,0.000009274528,0.000018640338,0.0000041133844,0.000044573386,0.0000072424123,0.0006814721],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99982977,0.000036871443,0.0000061757555,0.000025423455,0.000053554493,0.00004823494],"domain_scores_gemma":[0.9991774,0.00036266068,0.00010891552,0.00009412379,0.00007396376,0.00018292334],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029384758,0.00022309365,0.00029692793,0.0013829548,0.0004268159,0.0007795365,0.00039085248,0.00023139501,0.0024627612],"category_scores_gemma":[0.0015295008,0.0000974713,0.00022487559,0.00030320315,0.0015297141,0.0016697906,0.0010904606,0.00047429043,0.00014745201],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025082167,0.00006228024,0.008197299,0.00014284915,0.000028820032,0.00022776953,0.00062417984,0.006364725,0.008786551,0.96231294,0.0010728415,0.011929053],"study_design_scores_gemma":[0.00003059888,0.00008455304,0.007889873,0.00003590342,0.000024440265,0.0003372247,0.0003751478,0.03181485,0.0077444413,0.9472844,0.0043493784,0.000029114295],"about_ca_topic_score_codex":0.00034368184,"about_ca_topic_score_gemma":0.00039131162,"teacher_disagreement_score":0.0024627612,"about_ca_system_score_codex":0.00035095614,"about_ca_system_score_gemma":0.00022062592,"threshold_uncertainty_score":0.008238792},"labels":[],"label_agreement":null},{"id":"W7106343978","doi":"10.1142/s0219498827501039","title":"When every S-finite ideal is finitely generated","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","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":"St. Francis Xavier University","funders":"","keywords":"Ideal (ethics); Finitely-generated abelian group; Class (philosophy); Property (philosophy); Ring (chemistry); Commutative ring; Commutative property; Algebra over a field; Noetherian ring","score_opus":0.03417723154699224,"score_gpt":0.29385597501028776,"score_spread":0.2596787434632955,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7106343978","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":[0.59756464,0.0017960717,0.1314594,0.0024951913,0.00091104634,0.000114644834,0.00044554446,0.001127657,0.26408583],"genre_scores_gemma":[0.97921705,0.00025680807,0.009752537,0.00017595757,0.00022497418,0.000037509715,0.00019759155,0.000039623068,0.010097991],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870944,0.00024982417,0.0001112374,0.00033835263,0.00031071494,0.00028043758],"domain_scores_gemma":[0.9984084,0.00060326327,0.00028774908,0.00022869096,0.00022451334,0.00024742176],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017172784,0.00026411115,0.00037809016,0.00082858664,0.0010476301,0.0026609316,0.0004804488,0.00053356134,0.005681035],"category_scores_gemma":[0.0028000907,0.00018411624,0.00051505235,0.00046448724,0.0039321673,0.0069107036,0.0015618369,0.0007044261,0.0011537496],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015689046,0.00003733554,0.001994237,0.000111496076,0.000015537385,0.0008173502,0.001052562,0.00069659867,0.004099649,0.9788152,0.0017228475,0.010480223],"study_design_scores_gemma":[0.0000533207,0.00016039981,0.0013693405,0.00004909566,0.000028672117,0.002063297,0.0013647352,0.005293606,0.011558986,0.9482175,0.0298086,0.000032495092],"about_ca_topic_score_codex":0.00025628947,"about_ca_topic_score_gemma":0.00021347945,"teacher_disagreement_score":0.005681035,"about_ca_system_score_codex":0.00080782565,"about_ca_system_score_gemma":0.0005124662,"threshold_uncertainty_score":0.019004941},"labels":[],"label_agreement":null}]}