{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":1,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":1,"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":"6bfc350f56d5","filters":{"venue":"Mathematics online first collections"}},"results":[{"id":"W4377078708","doi":"10.1007/16618_2023_46","title":"Matrices over Quaternion Algebras","year":2023,"lang":"en","type":"book-chapter","venue":"Mathematics online first collections","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"","keywords":"Quaternion; Mathematics; Algebra over a field; Eigenvalues and eigenvectors; Matrix (chemical analysis); Singular value decomposition; Pure mathematics; Sylvester matrix; Applied mathematics; Mathematical analysis; Algorithm; Geometry; Physics","authors":[{"name":"Xin Liu","is_ca":false},{"name":"Yang Zhang","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02564084793719139,"gpt":0.2577561190613643,"spread":0.2321152711241729,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002284694,0.001092281,0.0005680851,0.00184643,0.0008903574,0.003427913,0.000699038,0.0004668336,0.09286267],"category_scores_gemma":[0.000684997,0.0004674601,0.0002913281,0.0029159,0.0009248895,0.003468086,0.001093829,0.001803982,0.03959202],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001055216,"about_ca_system_score_gemma":0.000652356,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007764705,"about_ca_topic_score_gemma":0.001537574,"domain_scores_codex":[0.9997472,0.00003109626,0.000009465211,0.00003172301,0.0001617539,0.00001886424],"domain_scores_gemma":[0.9998241,0.00004011681,0.00001345276,0.00003283113,0.00006156025,0.00002803855],"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":[0.00001188911,0.00002249122,0.0000375344,0.0001764058,0.000005659857,0.00002773727,0.0001750699,0.0007453179,0.001271254,0.6175607,0.2203266,0.1596392],"study_design_scores_gemma":[0.000004462721,0.00001336849,0.0001053238,0.0000770436,0.000003680336,0.00009500776,0.0000536317,0.001299586,0.0008982258,0.2294663,0.7679735,0.00000993001],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.001939435,0.008611288,0.03915939,0.001351795,0.003531556,0.00003372354,0.0003735308,0.0007723936,0.9442268],"genre_scores_gemma":[0.02428227,0.01021632,0.01210567,0.0003731391,0.002151139,0.00005423401,0.0005465231,0.0005259138,0.9497448],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.09286267,"threshold_uncertainty_score":0.3106565,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}