{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NS73TPYJD6LDO5LPVL6O5HLGVE","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":"b5cbf68097f266089a0262a12c2f0e47ab3900bae8cfe022a6c2f0cf8b5585c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-08-20T19:26:59Z","title_canon_sha256":"f16d2a7195e79bab693bed692f0c326887be4e40cb47c17ac81922bf6ec7acb5"},"schema_version":"1.0","source":{"id":"1408.4770","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.4770","created_at":"2026-05-18T01:42:16Z"},{"alias_kind":"arxiv_version","alias_value":"1408.4770v2","created_at":"2026-05-18T01:42:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.4770","created_at":"2026-05-18T01:42:16Z"},{"alias_kind":"pith_short_12","alias_value":"NS73TPYJD6LD","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NS73TPYJD6LDO5LP","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NS73TPYJ","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:adf8b46829aff63500a92f4b43469620e3c6b0a71e0e7ce1a0bf3d4289212bb9","target":"graph","created_at":"2026-05-18T01:42:16Z","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":"Recently, it has been shown by Balasubramanian et al. and Myers et al. that the Bekenstein-Hawking entropy formula evaluated on certain closed surfaces in the bulk of a holographic spacetime has an interpretation as the differential entropy of a particular family of intervals (or strips) in the boundary theory. We first extend this construction to bulk surfaces which vary in time. We then give a general proof of the equality between the gravitational entropy and the differential entropy. This proof applies to a broad class of holographic backgrounds possessing a generalized planar symmetry and","authors_text":"Jason Wien, Matthew Headrick, Robert C. Myers","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-08-20T19:26:59Z","title":"Holographic Holes and Differential Entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.4770","kind":"arxiv","version":2},"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:df8a96ca420cc4c95589f5430359592e43200aa1c6badb3e313b56f35009d275","target":"record","created_at":"2026-05-18T01:42:16Z","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":"b5cbf68097f266089a0262a12c2f0e47ab3900bae8cfe022a6c2f0cf8b5585c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-08-20T19:26:59Z","title_canon_sha256":"f16d2a7195e79bab693bed692f0c326887be4e40cb47c17ac81922bf6ec7acb5"},"schema_version":"1.0","source":{"id":"1408.4770","kind":"arxiv","version":2}},"canonical_sha256":"6cbfb9bf091f9637756faafcee9d66a90d54c9588c3d76a520c20a80dc2e0231","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cbfb9bf091f9637756faafcee9d66a90d54c9588c3d76a520c20a80dc2e0231","first_computed_at":"2026-05-18T01:42:16.618970Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:16.618970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K8MaGK8q0wv5cssqfMlvdyumQn1c52DnKp3maeqxjz2fS+xyvuallIFSKFYQh2qrRvrrFLtoQnH9qcoBMPiBDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:16.619647Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.4770","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df8a96ca420cc4c95589f5430359592e43200aa1c6badb3e313b56f35009d275","sha256:adf8b46829aff63500a92f4b43469620e3c6b0a71e0e7ce1a0bf3d4289212bb9"],"state_sha256":"80e55570dfeb8f438aa5219ab1e4fecf2610125e52152159ec771ab4a7db46c5"}