{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":4,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":4,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"43abfa20bbf4","filters":{"venue":"Mathematical Proceedings of the Royal Irish Academy"}},"results":[{"id":"W1998964833","doi":"10.3318/pria.2005.105.1.25","title":"Trivial Units in &lt;i&gt;RG&lt;/i&gt;","year":2005,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Royal Irish Academy","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Rank (graph theory); Ring (chemistry); Mathematics; Group (periodic table); Combinatorics; Physics; Chemistry","authors":[{"name":"Jürgen Ritter","is_ca":false},{"name":"Sudarshan K. Sehgal","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04117742004844608,"gpt":0.2822078917919263,"spread":0.2410304717434802,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00160728,0.0004981835,0.0009470501,0.0002217902,0.0001699288,0.0001018282,0.001433573,0.0005241376,0.0003433998],"category_scores_gemma":[0.004361206,0.0003634467,0.0002905258,0.0007825396,0.0003900369,0.0003646782,0.0005309685,0.0009442067,0.0001988134],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001528119,"about_ca_system_score_gemma":0.00005494497,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001379542,"about_ca_topic_score_gemma":0.000002169017,"domain_scores_codex":[0.9961479,0.00003685522,0.001382148,0.0005527965,0.00102884,0.0008514597],"domain_scores_gemma":[0.9980321,0.0006843398,0.0005782006,0.0002557523,0.0002051382,0.0002444632],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001135333,0.001076635,0.0004510493,0.001610539,0.0001199104,0.000002194635,0.002700208,0.0000357931,0.01333472,0.7439719,0.2342498,0.002333709],"study_design_scores_gemma":[0.002267328,0.0001206135,0.001916336,0.001355659,0.0002380349,0.00003730744,0.0002461787,0.008030843,0.03791587,0.9207285,0.02619989,0.0009434514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9045028,0.0001738885,0.0001200544,0.003350473,0.00008916238,0.0008258655,0.00001056201,0.0001883209,0.09073886],"genre_scores_gemma":[0.9807705,0.00001957318,0.009559504,0.0003432575,0.0006794107,0.00007062002,7.062566e-7,0.0001092045,0.008447187],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2080499,"threshold_uncertainty_score":0.9998817,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2043187330","doi":"10.3318/pria.2005.105.1.17","title":"On Some Centre–Like Subsets of Rings","year":2005,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Royal Irish Academy","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Brock University","funders":"","keywords":"Combinatorics; Mathematics; Ring (chemistry); Discrete mathematics; Chemistry","authors":[{"name":"Howard E. Bell","is_ca":true},{"name":"Abraham A. Klein","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03302481499655852,"gpt":0.3062953264727404,"spread":0.2732705114761819,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005818778,0.0003180628,0.0006420641,0.00009355445,0.00009098704,0.00002254502,0.001049501,0.0002922189,0.0003065914],"category_scores_gemma":[0.002683851,0.0002229762,0.0002780262,0.0002284962,0.0003347291,0.0002183646,0.0004021956,0.0007108831,0.0001027162],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009333913,"about_ca_system_score_gemma":0.00001440264,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.598498e-7,"about_ca_topic_score_gemma":6.973774e-8,"domain_scores_codex":[0.9973527,0.00001350684,0.0009465953,0.0003515153,0.0008633236,0.0004723786],"domain_scores_gemma":[0.9980127,0.0008012537,0.0006806897,0.000232525,0.0001363592,0.0001364591],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003502432,0.0003945993,0.000117996,0.000790698,0.00005260336,1.941441e-7,0.000464547,0.00001166586,0.00113743,0.953378,0.04332723,0.000289973],"study_design_scores_gemma":[0.0004391094,0.00003810934,0.0001111383,0.000464979,0.00007593821,0.000003887402,0.00009081145,0.0007627076,0.08307521,0.9137703,0.0009575069,0.0002103292],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9567091,0.00004847991,0.000132684,0.003123203,0.00007496409,0.0005711011,0.00001029243,0.0001202705,0.03920991],"genre_scores_gemma":[0.9560635,0.000005000543,0.03557265,0.0004781667,0.0001936601,0.0000181178,2.280178e-7,0.00007664233,0.007592034],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08193778,"threshold_uncertainty_score":0.9092706,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2282975142","doi":"10.1353/mpr.2015.0006","title":"The Haagerup Property for Drinfeld Doubles","year":2015,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Royal Irish Academy","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; University of Ottawa","keywords":"Quantum; Mathematics; Pure mathematics; Property (philosophy); Group (periodic table); Physics; Quantum mechanics","authors":[{"name":"Sutanu Roy","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1285111089076722,"gpt":0.3873418362955039,"spread":0.2588307273878317,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.004193959,0.0007227469,0.001215932,0.00009165786,0.0005724998,0.0004430237,0.004028717,0.0009892855,0.00005151167],"category_scores_gemma":[0.01476849,0.0003195539,0.0006703387,0.0002672262,0.0009354471,0.0001702311,0.004640749,0.002846337,0.00004199933],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002859966,"about_ca_system_score_gemma":0.0002530738,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004479864,"about_ca_topic_score_gemma":6.902234e-7,"domain_scores_codex":[0.9948182,0.00005164444,0.001515563,0.0008309641,0.001723523,0.001060117],"domain_scores_gemma":[0.9948733,0.002173646,0.0009737948,0.0006237674,0.001023368,0.0003321313],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003387096,0.0004413982,0.00009819214,0.009130877,0.0004510959,5.809413e-7,0.001075511,0.0001135278,0.0003248124,0.3033319,0.68352,0.001173459],"study_design_scores_gemma":[0.0006250686,0.00008296302,0.00001258041,0.001060098,0.0002215021,0.000006463235,0.0003371586,0.007458359,0.009508366,0.9679098,0.01229697,0.0004806727],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5622523,0.002835505,0.008950935,0.09329652,0.002228547,0.04903421,0.0005951557,0.001982376,0.2788244],"genre_scores_gemma":[0.5803797,0.0001858089,0.1939005,0.0008019286,0.003794515,0.009926607,0.00001141865,0.001402919,0.2095965],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.671223,"threshold_uncertainty_score":0.9999257,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2009808233","doi":"10.3318/pria.2005.105.2.103","title":"Bloch's Theorem for Algebroid Multifunctions II","year":2005,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Royal Irish Academy","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Pure mathematics","authors":[{"name":"Dominique Guillot","is_ca":true},{"name":"Thomas Ransford","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01834926328475006,"gpt":0.2552420971023051,"spread":0.236892833817555,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004272581,0.0001652268,0.0002332633,0.00005698034,0.0003308923,0.00008496323,0.001260519,0.0001424735,0.00002320711],"category_scores_gemma":[0.0004494619,0.0001130011,0.0002102632,0.00025002,0.0001300737,0.0003119283,0.0005512369,0.0002983796,0.00003367914],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003669545,"about_ca_system_score_gemma":0.00002894373,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.726517e-7,"about_ca_topic_score_gemma":6.035407e-8,"domain_scores_codex":[0.9986165,0.000007264908,0.0004207792,0.0003081255,0.0003187103,0.0003285871],"domain_scores_gemma":[0.9991919,0.0002780156,0.0002133358,0.0001185994,0.0001113061,0.0000868252],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001235009,0.0001789633,0.00001602734,0.0001046233,0.00003275153,4.406023e-8,0.0006105572,0.0001766521,0.001635805,0.8742535,0.1138456,0.009133134],"study_design_scores_gemma":[0.0005826799,0.0001065242,0.000293801,0.0000887758,0.00004389482,0.00001140069,0.00003606476,0.3261583,0.03013792,0.6146343,0.02764312,0.0002631892],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3743047,0.00009242474,0.2854457,0.2674279,0.000362096,0.002181541,0.00001256219,0.00077147,0.0694015],"genre_scores_gemma":[0.9332785,5.136977e-7,0.06008084,0.00405957,0.0004500052,0.00006451133,2.277324e-7,0.00001582317,0.002049985],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5589738,"threshold_uncertainty_score":0.4608051,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}