{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:V72MWY2SK4MQWCNTEP7VZWA4XW","short_pith_number":"pith:V72MWY2S","schema_version":"1.0","canonical_sha256":"aff4cb635257190b09b323ff5cd81cbdbcca8b69ddc6baed2a5fff9fa7a7adba","source":{"kind":"arxiv","id":"2002.04558","version":2},"attestation_state":"computed","paper":{"title":"Superbalance of Holographic Entropy Inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","quant-ph"],"primary_cat":"hep-th","authors_text":"Mukund Rangamani, Temple He, Veronika E. Hubeny","submitted_at":"2020-02-11T17:24:44Z","abstract_excerpt":"The domain of allowed von Neumann entropies of a holographic field theory carves out a polyhedral cone -- the holographic entropy cone -- in entropy space. Such polyhedral cones are characterized by their extreme rays. For an arbitrary number of parties, it is known that the so-called perfect tensors are extreme rays. In this work, we constrain the form of the remaining extreme rays by showing that they correspond to geometries with vanishing mutual information between any two parties, ensuring the absence of Bell pair type entanglement between them. This is tantamount to proving that besides "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2002.04558","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-02-11T17:24:44Z","cross_cats_sorted":["math.CO","quant-ph"],"title_canon_sha256":"b2aab2f646b80ef3e3e3154902cbbe074ee94fc5deb0576551b780947679acbd","abstract_canon_sha256":"a7d6e04c3de3bde3180c30723c6edd739f8ca85309df8b22642d3f55111ea808"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:29:52.789458Z","signature_b64":"GQvFapOy7ZqmKMVhQhPETEd3zAxVgvNKAsLdNotxhRE9VopmDTggltuyxXU4pa9OejHfVacIKvA1NGV/vE5UDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aff4cb635257190b09b323ff5cd81cbdbcca8b69ddc6baed2a5fff9fa7a7adba","last_reissued_at":"2026-07-05T01:29:52.789067Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:29:52.789067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Superbalance of Holographic Entropy Inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","quant-ph"],"primary_cat":"hep-th","authors_text":"Mukund Rangamani, Temple He, Veronika E. Hubeny","submitted_at":"2020-02-11T17:24:44Z","abstract_excerpt":"The domain of allowed von Neumann entropies of a holographic field theory carves out a polyhedral cone -- the holographic entropy cone -- in entropy space. Such polyhedral cones are characterized by their extreme rays. For an arbitrary number of parties, it is known that the so-called perfect tensors are extreme rays. In this work, we constrain the form of the remaining extreme rays by showing that they correspond to geometries with vanishing mutual information between any two parties, ensuring the absence of Bell pair type entanglement between them. This is tantamount to proving that besides "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.04558","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2002.04558/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2002.04558","created_at":"2026-07-05T01:29:52.789119+00:00"},{"alias_kind":"arxiv_version","alias_value":"2002.04558v2","created_at":"2026-07-05T01:29:52.789119+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.04558","created_at":"2026-07-05T01:29:52.789119+00:00"},{"alias_kind":"pith_short_12","alias_value":"V72MWY2SK4MQ","created_at":"2026-07-05T01:29:52.789119+00:00"},{"alias_kind":"pith_short_16","alias_value":"V72MWY2SK4MQWCNT","created_at":"2026-07-05T01:29:52.789119+00:00"},{"alias_kind":"pith_short_8","alias_value":"V72MWY2S","created_at":"2026-07-05T01:29:52.789119+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.20790","citing_title":"Complexity Inequalities for Quantum Subsystems","ref_index":43,"is_internal_anchor":false},{"citing_arxiv_id":"2606.20790","citing_title":"Complexity Inequalities for Quantum Subsystems","ref_index":45,"is_internal_anchor":false},{"citing_arxiv_id":"2412.05484","citing_title":"Topological entanglement entropy meets holographic entropy inequalities","ref_index":44,"is_internal_anchor":false},{"citing_arxiv_id":"2601.19979","citing_title":"Exploring the holographic entropy cone via reinforcement learning","ref_index":6,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/V72MWY2SK4MQWCNTEP7VZWA4XW","json":"https://pith.science/pith/V72MWY2SK4MQWCNTEP7VZWA4XW.json","graph_json":"https://pith.science/api/pith-number/V72MWY2SK4MQWCNTEP7VZWA4XW/graph.json","events_json":"https://pith.science/api/pith-number/V72MWY2SK4MQWCNTEP7VZWA4XW/events.json","paper":"https://pith.science/paper/V72MWY2S"},"agent_actions":{"view_html":"https://pith.science/pith/V72MWY2SK4MQWCNTEP7VZWA4XW","download_json":"https://pith.science/pith/V72MWY2SK4MQWCNTEP7VZWA4XW.json","view_paper":"https://pith.science/paper/V72MWY2S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2002.04558&json=true","fetch_graph":"https://pith.science/api/pith-number/V72MWY2SK4MQWCNTEP7VZWA4XW/graph.json","fetch_events":"https://pith.science/api/pith-number/V72MWY2SK4MQWCNTEP7VZWA4XW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V72MWY2SK4MQWCNTEP7VZWA4XW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V72MWY2SK4MQWCNTEP7VZWA4XW/action/storage_attestation","attest_author":"https://pith.science/pith/V72MWY2SK4MQWCNTEP7VZWA4XW/action/author_attestation","sign_citation":"https://pith.science/pith/V72MWY2SK4MQWCNTEP7VZWA4XW/action/citation_signature","submit_replication":"https://pith.science/pith/V72MWY2SK4MQWCNTEP7VZWA4XW/action/replication_record"}},"created_at":"2026-07-05T01:29:52.789119+00:00","updated_at":"2026-07-05T01:29:52.789119+00:00"}