{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:ZEKV3KE7U6V2PMOCS3M2OU5FTI","short_pith_number":"pith:ZEKV3KE7","canonical_record":{"source":{"id":"2002.05734","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-02-13T19:00:03Z","cross_cats_sorted":["gr-qc","nlin.CD","quant-ph"],"title_canon_sha256":"256aab9dce44f35cde64e92bb71bf48bbcfbc18e659fa93047bb2be467c8d4ee","abstract_canon_sha256":"73310f67bee656eee8d626ca703c7fc464dfa2af12eed2e055dd8a07f1aea18f"},"schema_version":"1.0"},"canonical_sha256":"c9155da89fa7aba7b1c296d9a753a59a26736ebba7c6aa94b512a0c8b4ebb924","source":{"kind":"arxiv","id":"2002.05734","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.05734","created_at":"2026-07-05T02:27:19Z"},{"alias_kind":"arxiv_version","alias_value":"2002.05734v1","created_at":"2026-07-05T02:27:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.05734","created_at":"2026-07-05T02:27:19Z"},{"alias_kind":"pith_short_12","alias_value":"ZEKV3KE7U6V2","created_at":"2026-07-05T02:27:19Z"},{"alias_kind":"pith_short_16","alias_value":"ZEKV3KE7U6V2PMOC","created_at":"2026-07-05T02:27:19Z"},{"alias_kind":"pith_short_8","alias_value":"ZEKV3KE7","created_at":"2026-07-05T02:27:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:ZEKV3KE7U6V2PMOCS3M2OU5FTI","target":"record","payload":{"canonical_record":{"source":{"id":"2002.05734","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-02-13T19:00:03Z","cross_cats_sorted":["gr-qc","nlin.CD","quant-ph"],"title_canon_sha256":"256aab9dce44f35cde64e92bb71bf48bbcfbc18e659fa93047bb2be467c8d4ee","abstract_canon_sha256":"73310f67bee656eee8d626ca703c7fc464dfa2af12eed2e055dd8a07f1aea18f"},"schema_version":"1.0"},"canonical_sha256":"c9155da89fa7aba7b1c296d9a753a59a26736ebba7c6aa94b512a0c8b4ebb924","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:27:19.198080Z","signature_b64":"noyNuwSe3q/GkaijWpWiUqhgOXYLE9fLB2Rc5QhIPbIlCBcTkdvGlhLUSGjZe9U+JSuvDBQffjGqDqtelfSBBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9155da89fa7aba7b1c296d9a753a59a26736ebba7c6aa94b512a0c8b4ebb924","last_reissued_at":"2026-07-05T02:27:19.197619Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:27:19.197619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2002.05734","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:27:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yeEQKSlIvwnEhGxWozjI2J/f6JeAaoob0xXKwjFHsJ41Qc9nLrZCdNeuiMu59xsnPvk4ha29fCCuXP3mjaw6BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T07:02:01.875169Z"},"content_sha256":"e486c44b33917b521d1d306a84be4150d6481f767fc5dc8467c17d9ff47f9213","schema_version":"1.0","event_id":"sha256:e486c44b33917b521d1d306a84be4150d6481f767fc5dc8467c17d9ff47f9213"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:ZEKV3KE7U6V2PMOCS3M2OU5FTI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A dynamical mechanism for the Page curve from quantum chaos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","nlin.CD","quant-ph"],"primary_cat":"hep-th","authors_text":"Hong Liu, Shreya Vardhan","submitted_at":"2020-02-13T19:00:03Z","abstract_excerpt":"If the evaporation of a black hole formed from a pure state is unitary, the entanglement entropy of the Hawking radiation should follow the Page curve, increasing from zero until near the halfway point of the evaporation, and then decreasing back to zero. The general argument for the Page curve is based on the assumption that the quantum state of the black hole plus radiation during the evaporation process is typical. In this paper, we show that the Page curve can result from a simple dynamical input in the evolution of the black hole, based on a recently proposed signature of quantum chaos, w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.05734","kind":"arxiv","version":1},"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/2002.05734/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":"2026-07-05T02:27:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IKMWqV9EMv9Xa1j9itw1iD72t/+Vr94UQL/ZqEqgqZwaKkjOb2uoDot3NwbChFQWeiH72h9WV+ORzmQsKv9OBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T07:02:01.875745Z"},"content_sha256":"9294528604a37d866f66d00fa7fb334ac4a6ee06ba28c5e3636c49c9d46ec3ef","schema_version":"1.0","event_id":"sha256:9294528604a37d866f66d00fa7fb334ac4a6ee06ba28c5e3636c49c9d46ec3ef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZEKV3KE7U6V2PMOCS3M2OU5FTI/bundle.json","state_url":"https://pith.science/pith/ZEKV3KE7U6V2PMOCS3M2OU5FTI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZEKV3KE7U6V2PMOCS3M2OU5FTI/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":"2026-08-08T07:02:01Z","links":{"resolver":"https://pith.science/pith/ZEKV3KE7U6V2PMOCS3M2OU5FTI","bundle":"https://pith.science/pith/ZEKV3KE7U6V2PMOCS3M2OU5FTI/bundle.json","state":"https://pith.science/pith/ZEKV3KE7U6V2PMOCS3M2OU5FTI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZEKV3KE7U6V2PMOCS3M2OU5FTI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:ZEKV3KE7U6V2PMOCS3M2OU5FTI","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":"73310f67bee656eee8d626ca703c7fc464dfa2af12eed2e055dd8a07f1aea18f","cross_cats_sorted":["gr-qc","nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-02-13T19:00:03Z","title_canon_sha256":"256aab9dce44f35cde64e92bb71bf48bbcfbc18e659fa93047bb2be467c8d4ee"},"schema_version":"1.0","source":{"id":"2002.05734","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.05734","created_at":"2026-07-05T02:27:19Z"},{"alias_kind":"arxiv_version","alias_value":"2002.05734v1","created_at":"2026-07-05T02:27:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.05734","created_at":"2026-07-05T02:27:19Z"},{"alias_kind":"pith_short_12","alias_value":"ZEKV3KE7U6V2","created_at":"2026-07-05T02:27:19Z"},{"alias_kind":"pith_short_16","alias_value":"ZEKV3KE7U6V2PMOC","created_at":"2026-07-05T02:27:19Z"},{"alias_kind":"pith_short_8","alias_value":"ZEKV3KE7","created_at":"2026-07-05T02:27:19Z"}],"graph_snapshots":[{"event_id":"sha256:9294528604a37d866f66d00fa7fb334ac4a6ee06ba28c5e3636c49c9d46ec3ef","target":"graph","created_at":"2026-07-05T02:27:19Z","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/2002.05734/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"If the evaporation of a black hole formed from a pure state is unitary, the entanglement entropy of the Hawking radiation should follow the Page curve, increasing from zero until near the halfway point of the evaporation, and then decreasing back to zero. The general argument for the Page curve is based on the assumption that the quantum state of the black hole plus radiation during the evaporation process is typical. In this paper, we show that the Page curve can result from a simple dynamical input in the evolution of the black hole, based on a recently proposed signature of quantum chaos, w","authors_text":"Hong Liu, Shreya Vardhan","cross_cats":["gr-qc","nlin.CD","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-02-13T19:00:03Z","title":"A dynamical mechanism for the Page curve from quantum chaos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.05734","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:e486c44b33917b521d1d306a84be4150d6481f767fc5dc8467c17d9ff47f9213","target":"record","created_at":"2026-07-05T02:27:19Z","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":"73310f67bee656eee8d626ca703c7fc464dfa2af12eed2e055dd8a07f1aea18f","cross_cats_sorted":["gr-qc","nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-02-13T19:00:03Z","title_canon_sha256":"256aab9dce44f35cde64e92bb71bf48bbcfbc18e659fa93047bb2be467c8d4ee"},"schema_version":"1.0","source":{"id":"2002.05734","kind":"arxiv","version":1}},"canonical_sha256":"c9155da89fa7aba7b1c296d9a753a59a26736ebba7c6aa94b512a0c8b4ebb924","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9155da89fa7aba7b1c296d9a753a59a26736ebba7c6aa94b512a0c8b4ebb924","first_computed_at":"2026-07-05T02:27:19.197619Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:27:19.197619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"noyNuwSe3q/GkaijWpWiUqhgOXYLE9fLB2Rc5QhIPbIlCBcTkdvGlhLUSGjZe9U+JSuvDBQffjGqDqtelfSBBg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:27:19.198080Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.05734","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e486c44b33917b521d1d306a84be4150d6481f767fc5dc8467c17d9ff47f9213","sha256:9294528604a37d866f66d00fa7fb334ac4a6ee06ba28c5e3636c49c9d46ec3ef"],"state_sha256":"f1074c49c144dbafbb9006ac45870f56130e4e6c8886a73289222f7c96d90b2e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fa15c5B1xDqXCNsCZg3sSDFGMKCcSK7FXhhL9J59Pj4EFLmjqh3J3fZZ9korzez7siwb+J9ZHBwKVErdnFRIAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T07:02:01.880244Z","bundle_sha256":"327ab11eced3ee4a037b5e6688dba3cfdf33d321849d8d6665abc32fbf29ff3d"}}