{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MWTWGHEN5EOLGWWYVQ4JRPGG7Q","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":"bd4910ddd90fc205dc00e6666876eda023d38f07243ada6a77eff869ca7116a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-22T20:00:00Z","title_canon_sha256":"a4bdc333117a78bf6b18e60ff145ae2408b5e80c19a95a223280ee5c05ea2ea4"},"schema_version":"1.0","source":{"id":"1608.06282","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.06282","created_at":"2026-05-18T00:49:16Z"},{"alias_kind":"arxiv_version","alias_value":"1608.06282v1","created_at":"2026-05-18T00:49:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.06282","created_at":"2026-05-18T00:49:16Z"},{"alias_kind":"pith_short_12","alias_value":"MWTWGHEN5EOL","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MWTWGHEN5EOLGWWY","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MWTWGHEN","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:eaf5abd6767d24031cd4378f9ab8f6372e25585eb81afca9c7810b510bbc68b1","target":"graph","created_at":"2026-05-18T00:49:16Z","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":"We demonstrate an equivalence between the wave equation obeyed by the entanglement entropy of CFT subregions and the linearized bulk Einstein equation in Anti-de Sitter pace. In doing so, we make use of the formalism of kinematic space [arXiv:1505.05515] and fields on this space, introduced in [arXiv:1604.03110]. We show that the gravitational dynamics are equivalent to a gauge invariant wave-equation on kinematic space and that this equation arises in natural correspondence to the conformal Casimir equation in the CFT.","authors_text":"Bartlomiej Czech, Benjamin Mosk, James Sully, Lampros Lamprou, Samuel McCandlish","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-22T20:00:00Z","title":"Equivalent Equations of Motion for Gravity and Entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.06282","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":"sha256:41685a7a33d87b930a7cd7b88d10a4a043907b944d955ae5a62816bccc57286e","target":"record","created_at":"2026-05-18T00:49:16Z","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":"bd4910ddd90fc205dc00e6666876eda023d38f07243ada6a77eff869ca7116a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-22T20:00:00Z","title_canon_sha256":"a4bdc333117a78bf6b18e60ff145ae2408b5e80c19a95a223280ee5c05ea2ea4"},"schema_version":"1.0","source":{"id":"1608.06282","kind":"arxiv","version":1}},"canonical_sha256":"65a7631c8de91cb35ad8ac3898bcc6fc21e3dd4daf15dc6b921da27892867100","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65a7631c8de91cb35ad8ac3898bcc6fc21e3dd4daf15dc6b921da27892867100","first_computed_at":"2026-05-18T00:49:16.062517Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:16.062517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wBboPn+xjUp4NDCtMQl+9kZhZn6oXxEsUx55MIy/MnU7xg8NLG/TPnMawsYrCtcaRiosvuLKnnK+G05PKIPfBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:16.063210Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.06282","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41685a7a33d87b930a7cd7b88d10a4a043907b944d955ae5a62816bccc57286e","sha256:eaf5abd6767d24031cd4378f9ab8f6372e25585eb81afca9c7810b510bbc68b1"],"state_sha256":"3034d6e32653edf275bd057a573b453409baafec7e04a9ffce7b8219b5782b0f"}