{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:VXO6WE5N5D4ZWISCDJPD52PIP7","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6ee3c25e04296ff7fcbc28e709041abda1e25128320a5e4d2eddf1385561d7ce","cross_cats_sorted":["cs.IT","hep-th","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-02-13T02:45:28Z","title_canon_sha256":"3f80b0daa3a8295b9ec0532a3b0d6fb01c576f0777b83587db0ad4ce1f880ca0"},"schema_version":"1.0","source":{"id":"2002.05317","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.05317","created_at":"2026-07-05T03:22:31Z"},{"alias_kind":"arxiv_version","alias_value":"2002.05317v1","created_at":"2026-07-05T03:22:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.05317","created_at":"2026-07-05T03:22:31Z"},{"alias_kind":"pith_short_12","alias_value":"VXO6WE5N5D4Z","created_at":"2026-07-05T03:22:31Z"},{"alias_kind":"pith_short_16","alias_value":"VXO6WE5N5D4ZWISC","created_at":"2026-07-05T03:22:31Z"},{"alias_kind":"pith_short_8","alias_value":"VXO6WE5N","created_at":"2026-07-05T03:22:31Z"}],"graph_snapshots":[{"event_id":"sha256:8373f51eaa63ebb75a1435b9182586f7262d8e927435c4556b8d73986e2c2617","target":"graph","created_at":"2026-07-05T03:22:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2002.05317/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we generalize the graph-theoretic techniques used for the holographic entropy cone to study hypergraphs and their analogously-defined entropy cone. This allows us to develop a framework to efficiently compute entropies and prove inequalities satisfied by hypergraphs. In doing so, we discover a class of quantum entropy vectors which reach beyond those of holographic states and obey constraints intimately related to the ones obeyed by stabilizer states and linear ranks. We show that, at least up to 4 parties, the hypergraph cone is identical to the stabilizer entropy cone, thus dem","authors_text":"Newton Cheng, Ning Bao, Sergio Hern\\'andez-Cuenca, Vincent P. Su","cross_cats":["cs.IT","hep-th","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-02-13T02:45:28Z","title":"The Quantum Entropy Cone of Hypergraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.05317","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:662db72a321274002428623381dfd21c4665bdf6c686a5f38a16cc46305e9f03","target":"record","created_at":"2026-07-05T03:22:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6ee3c25e04296ff7fcbc28e709041abda1e25128320a5e4d2eddf1385561d7ce","cross_cats_sorted":["cs.IT","hep-th","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-02-13T02:45:28Z","title_canon_sha256":"3f80b0daa3a8295b9ec0532a3b0d6fb01c576f0777b83587db0ad4ce1f880ca0"},"schema_version":"1.0","source":{"id":"2002.05317","kind":"arxiv","version":1}},"canonical_sha256":"adddeb13ade8f99b22421a5e3ee9e87fe63042e62d19ca18e710019305fc39a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"adddeb13ade8f99b22421a5e3ee9e87fe63042e62d19ca18e710019305fc39a1","first_computed_at":"2026-07-05T03:22:31.879548Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:22:31.879548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EZ5K3hepYOgHVy2AFd8B6GblOtE6M2cZJurWiB44SwCVZZnmli4hxapfwJwKxDBTTyTdC7vTAKTlYHWzeAK8Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:22:31.880028Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.05317","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:662db72a321274002428623381dfd21c4665bdf6c686a5f38a16cc46305e9f03","sha256:8373f51eaa63ebb75a1435b9182586f7262d8e927435c4556b8d73986e2c2617"],"state_sha256":"dabcb0de403266845691d6c1a0f788a60dce1906e64b356a527feaa4f56cb84e"}