{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:3RI6TN4N62E7PDKW2432EQRLV7","short_pith_number":"pith:3RI6TN4N","canonical_record":{"source":{"id":"1904.08370","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-04-17T17:11:43Z","cross_cats_sorted":["cond-mat.stat-mech","gr-qc"],"title_canon_sha256":"3f9926d7548b8afb4ae0372d7ed175e9fbe5096e461f0fa4a58dc4b52745851a","abstract_canon_sha256":"48e3dc7d315e79e4aed60447da8b0ff0a25d49938501e80c941cefa756412860"},"schema_version":"1.0"},"canonical_sha256":"dc51e9b78df689f78d56d737a2422bafe2a01eea63373d9d12677d44ec2e4b88","source":{"kind":"arxiv","id":"1904.08370","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:3RI6TN4N62E7PDKW2432EQRLV7","target":"record","payload":{"canonical_record":{"source":{"id":"1904.08370","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-04-17T17:11:43Z","cross_cats_sorted":["cond-mat.stat-mech","gr-qc"],"title_canon_sha256":"3f9926d7548b8afb4ae0372d7ed175e9fbe5096e461f0fa4a58dc4b52745851a","abstract_canon_sha256":"48e3dc7d315e79e4aed60447da8b0ff0a25d49938501e80c941cefa756412860"},"schema_version":"1.0"},"canonical_sha256":"dc51e9b78df689f78d56d737a2422bafe2a01eea63373d9d12677d44ec2e4b88","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:19:59.918502Z","signature_b64":"hfORhEpausg2wVHr4D+aHyWffoxZ5/tLdxZKMmRWmmFICVn2zR7HuGqDpJZ+MqfbFf91EiVi/S/PrXwjkYu0BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc51e9b78df689f78d56d737a2422bafe2a01eea63373d9d12677d44ec2e4b88","last_reissued_at":"2026-07-05T00:19:59.918038Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:19:59.918038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.08370","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:19:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WLgKJfs0g0eVRhDlBISgNsu1Am0ZKX8xLCYo6Cz6xMeqJov29uHFHluYIImMxp3GGtgWg0xFSroR02Z0/qdLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T10:56:23.270119Z"},"content_sha256":"197bbdc141f0841e8143a46b78ba63a86a94ff58d21dbffc29c593668efc001a","schema_version":"1.0","event_id":"sha256:197bbdc141f0841e8143a46b78ba63a86a94ff58d21dbffc29c593668efc001a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:3RI6TN4N62E7PDKW2432EQRLV7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Typical entanglement entropy in the presence of a center: Page curve and its variance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","gr-qc"],"primary_cat":"hep-th","authors_text":"Eugenio Bianchi, Pietro Dona","submitted_at":"2019-04-17T17:11:43Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.08370","kind":"arxiv","version":3},"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/1904.08370/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:19:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pYW9vggNTlGkyqzxMl1TAC4HkZKkqxoVUQ/xmUgwREMiGt1Ck4nopWgownhH39Fp65851hhUAV9w3prNFjLNDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T10:56:23.270618Z"},"content_sha256":"bde245224ba2043f3920620ef5014015a4fd4eab46317beb7ba0f2f82c6d39dc","schema_version":"1.0","event_id":"sha256:bde245224ba2043f3920620ef5014015a4fd4eab46317beb7ba0f2f82c6d39dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3RI6TN4N62E7PDKW2432EQRLV7/bundle.json","state_url":"https://pith.science/pith/3RI6TN4N62E7PDKW2432EQRLV7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3RI6TN4N62E7PDKW2432EQRLV7/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-01T10:56:23Z","links":{"resolver":"https://pith.science/pith/3RI6TN4N62E7PDKW2432EQRLV7","bundle":"https://pith.science/pith/3RI6TN4N62E7PDKW2432EQRLV7/bundle.json","state":"https://pith.science/pith/3RI6TN4N62E7PDKW2432EQRLV7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3RI6TN4N62E7PDKW2432EQRLV7/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fLbmBueW9LnL5ofPvj24Uc+GmwFM8QK0Eiu1UQ3rcgwwgVujOyl2HKj4lYNzw/ACeXcrjuN6Bz+wm1g1eoliAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T10:56:23.281481Z","bundle_sha256":"efc6c59a83ba33ec67eca8ea05bfd91fc37f4cd2198498bd5520129a9c071787"}}