{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3RI6TN4N62E7PDKW2432EQRLV7","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":"48e3dc7d315e79e4aed60447da8b0ff0a25d49938501e80c941cefa756412860","cross_cats_sorted":["cond-mat.stat-mech","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-04-17T17:11:43Z","title_canon_sha256":"3f9926d7548b8afb4ae0372d7ed175e9fbe5096e461f0fa4a58dc4b52745851a"},"schema_version":"1.0","source":{"id":"1904.08370","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.08370","created_at":"2026-07-05T00:19:59Z"},{"alias_kind":"arxiv_version","alias_value":"1904.08370v3","created_at":"2026-07-05T00:19:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.08370","created_at":"2026-07-05T00:19:59Z"},{"alias_kind":"pith_short_12","alias_value":"3RI6TN4N62E7","created_at":"2026-07-05T00:19:59Z"},{"alias_kind":"pith_short_16","alias_value":"3RI6TN4N62E7PDKW","created_at":"2026-07-05T00:19:59Z"},{"alias_kind":"pith_short_8","alias_value":"3RI6TN4N","created_at":"2026-07-05T00:19:59Z"}],"graph_snapshots":[{"event_id":"sha256:bde245224ba2043f3920620ef5014015a4fd4eab46317beb7ba0f2f82c6d39dc","target":"graph","created_at":"2026-07-05T00:19:59Z","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/1904.08370/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In a quantum system in a pure state, a subsystem generally has a nonzero entropy because of entanglement with the rest of the system. Is the average entanglement entropy of pure states also the typical entropy of the subsystem? We present a method to compute the exact formula of the momenta of the probability $P(S_A) \\mathrm{d}S_A$ that a subsystem has entanglement entropy $S_A$. The method applies to subsystems defined by a subalgebra of observables with a center. In the case of a trivial center, we reobtain the well-known result for the average entropy and the formula for the variance. In th","authors_text":"Eugenio Bianchi, Pietro Dona","cross_cats":["cond-mat.stat-mech","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-04-17T17:11:43Z","title":"Typical entanglement entropy in the presence of a center: Page curve and its variance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.08370","kind":"arxiv","version":3},"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":"sha256:197bbdc141f0841e8143a46b78ba63a86a94ff58d21dbffc29c593668efc001a","target":"record","created_at":"2026-07-05T00:19:59Z","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":"48e3dc7d315e79e4aed60447da8b0ff0a25d49938501e80c941cefa756412860","cross_cats_sorted":["cond-mat.stat-mech","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-04-17T17:11:43Z","title_canon_sha256":"3f9926d7548b8afb4ae0372d7ed175e9fbe5096e461f0fa4a58dc4b52745851a"},"schema_version":"1.0","source":{"id":"1904.08370","kind":"arxiv","version":3}},"canonical_sha256":"dc51e9b78df689f78d56d737a2422bafe2a01eea63373d9d12677d44ec2e4b88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc51e9b78df689f78d56d737a2422bafe2a01eea63373d9d12677d44ec2e4b88","first_computed_at":"2026-07-05T00:19:59.918038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:19:59.918038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hfORhEpausg2wVHr4D+aHyWffoxZ5/tLdxZKMmRWmmFICVn2zR7HuGqDpJZ+MqfbFf91EiVi/S/PrXwjkYu0BA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:19:59.918502Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.08370","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:197bbdc141f0841e8143a46b78ba63a86a94ff58d21dbffc29c593668efc001a","sha256:bde245224ba2043f3920620ef5014015a4fd4eab46317beb7ba0f2f82c6d39dc"],"state_sha256":"4ce1252d457d2e41de490bc8b23306734808b029b2d3a90c33c59405880b8e7b"}