{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:WPN72FEW6YWBY44MH3MMDA32VZ","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":"ad01ca7981c89315fd027878b2bdbab579f62312aa184153d52f1e9d8b145ced","cross_cats_sorted":["gr-qc","math-ph","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-06-22T00:22:20Z","title_canon_sha256":"3aa9ecf09839485cb00b6973c7f0febff0d7f0b469cb120b5e0207596b77185c"},"schema_version":"1.0","source":{"id":"2206.10780","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.10780","created_at":"2026-05-18T03:09:58Z"},{"alias_kind":"arxiv_version","alias_value":"2206.10780v5","created_at":"2026-05-18T03:09:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.10780","created_at":"2026-05-18T03:09:58Z"},{"alias_kind":"pith_short_12","alias_value":"WPN72FEW6YWB","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"WPN72FEW6YWBY44M","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"WPN72FEW","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:108e3506ce9ebead806c0d08c81936d1839a96e5989e8299ff934203f1ac3b26","target":"graph","created_at":"2026-05-18T03:09:58Z","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"},"paper":{"abstract_excerpt":"We describe an algebra of observables for a static patch in de Sitter space, with operators gravitationally dressed to the worldline of an observer. The algebra is a von Neumann algebra of Type II$_1$. There is a natural notion of entropy for a state of such an algebra. There is a maximum entropy state, which corresponds to empty de Sitter space, and the entropy of any semiclassical state of the Type II$_1$ algebras agrees, up to an additive constant independent of the state, with the expected generalized entropy $S_{\\text{gen}}=(A/4G_N)+S_{\\text{out}}$. An arbitrary additive constant is prese","authors_text":"Edward Witten, Geoff Penington, Roberto Longo, Venkatesa Chandrasekaran","cross_cats":["gr-qc","math-ph","math.MP","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-06-22T00:22:20Z","title":"An Algebra of Observables for de Sitter Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.10780","kind":"arxiv","version":5},"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":"sha256:3fb832e20b395d3b630925e131a5b453bfc43862d81412808079cc6377153b00","target":"record","created_at":"2026-05-18T03:09:58Z","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":"ad01ca7981c89315fd027878b2bdbab579f62312aa184153d52f1e9d8b145ced","cross_cats_sorted":["gr-qc","math-ph","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-06-22T00:22:20Z","title_canon_sha256":"3aa9ecf09839485cb00b6973c7f0febff0d7f0b469cb120b5e0207596b77185c"},"schema_version":"1.0","source":{"id":"2206.10780","kind":"arxiv","version":5}},"canonical_sha256":"b3dbfd1496f62c1c738c3ed8c1837aae666d7b8906f068842a691139aef41638","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3dbfd1496f62c1c738c3ed8c1837aae666d7b8906f068842a691139aef41638","first_computed_at":"2026-05-18T03:09:58.888719Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:58.888719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"REQ36Eyg3KHCGIPcdryWeASjoubor1TcJ6hxqr+Cw1BbEeknW+A9F6IOJIOq7N7btk0PD5hdG8kASHVMo2c3AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:58.889426Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.10780","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fb832e20b395d3b630925e131a5b453bfc43862d81412808079cc6377153b00","sha256:108e3506ce9ebead806c0d08c81936d1839a96e5989e8299ff934203f1ac3b26"],"state_sha256":"4576e45e69a4b504f992521459a118c536be8d620e34de1e760aac08a77ba659"}