{"id":"W3132155589","doi":"10.1016/j.dam.2022.11.016","title":"On the foundations and extremal structure of the holographic entropy cone","year":2022,"lang":"en","type":"article","venue":"Discrete Applied Mathematics","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":25,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"Japan Society for the Promotion of Science; University of California, Santa Barbara; National Science Foundation","keywords":"Mathematics; Mathematical proof; Graph; Entropy (arrow of time); Holography; Light cone; Discrete mathematics; Combinatorics; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001507315,0.000592701,0.0008523648,0.001990722,0.002132811,0.003221504,0.001196871,0.001157736,0.004634874],"category_scores_gemma":[0.003878855,0.0004407163,0.0006466953,0.000973259,0.005779052,0.006291309,0.002603869,0.003411397,0.0003173545],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001551334,"about_ca_system_score_gemma":0.001006566,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001682573,"about_ca_topic_score_gemma":0.001447973,"domain_scores_codex":[0.9994935,0.0001663334,0.00002625687,0.00007848046,0.0001380905,0.00009734904],"domain_scores_gemma":[0.9978662,0.0009823665,0.0002561419,0.0002118196,0.000283656,0.0003998272],"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":[0.000008409544,0.000007835717,0.00007805254,0.000008610079,0.000001973313,0.00002201059,0.00004768936,0.000390019,0.000127416,0.9985502,0.0002384905,0.0005192352],"study_design_scores_gemma":[0.000005087658,0.000004165284,0.000149619,0.000005271838,0.000001328257,0.00001477445,0.00001976686,0.002111071,0.00003625115,0.9974057,0.0002427018,0.000004287242],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6548597,0.003976074,0.1202649,0.008678211,0.000467336,0.00006490598,0.0007189809,0.0001932814,0.2107767],"genre_scores_gemma":[0.9851395,0.0009787681,0.006222587,0.0004245062,0.0005227445,0.00002948737,0.0002036316,0.0000477666,0.006431017],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004634874,"threshold_uncertainty_score":0.01550525,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007261936745808826,"score_gpt":0.2144434362785744,"score_spread":0.2071814995327655,"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."}}