{"id":"W2730334356","doi":"10.4153/cjm-2018-008-1","title":"Unperforated Pairs of Operator Spaces and Hyperrigidity of Operator Systems","year":2018,"lang":"en","type":"preprint","venue":"Canadian Journal of Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Linear subspace; Operator (biology); Algebra over a field; Operator algebra; Extension (predicate logic); Ideal (ethics); Computer science; Mathematics; Property (philosophy); Pure mathematics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002571092,0.0004966051,0.0019027,0.0007007603,0.0001390675,0.0002085831,0.001097308,0.0005144571,0.0001486981],"category_scores_gemma":[0.003253614,0.0004075107,0.0002251479,0.0003372999,0.0007041682,0.0002106603,0.0002577699,0.001008044,0.000006201011],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003328254,"about_ca_system_score_gemma":0.005154878,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001086316,"about_ca_topic_score_gemma":0.003769871,"domain_scores_codex":[0.9959511,0.0002799691,0.002067665,0.0003129684,0.0008532398,0.0005350417],"domain_scores_gemma":[0.9927411,0.0005802146,0.001812573,0.000898527,0.002963995,0.00100361],"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":[0.0006441514,0.004845124,0.06682559,0.2300075,0.01722306,0.003358344,0.1127813,0.01086268,0.03064606,0.3685241,0.1518199,0.002462187],"study_design_scores_gemma":[0.01774105,0.0102012,0.002315966,0.1069658,0.006686003,0.006628646,0.1041168,0.07092282,0.2225394,0.4250342,0.01574123,0.01110689],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9936681,0.00236291,0.001536393,0.0001229327,0.0007131153,0.0007820237,0.0004134045,0.00001210237,0.000389024],"genre_scores_gemma":[0.9442841,0.0002039682,0.05483951,0.00001442138,0.0003075789,0.00001340533,0.000006360418,0.000128549,0.000202057],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1918933,"threshold_uncertainty_score":0.9998377,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08126754211040822,"score_gpt":0.3311554292335898,"score_spread":0.2498878871231816,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}