{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EL3MJAYXPIRX3CPKVDQRO7BTVS","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":"29337ed401850db4cfd84e370f9197064fc773a248a30002d90a65e1ae0b7c3a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-17T03:22:29Z","title_canon_sha256":"cf6d5532f3cdff1c900f3c6256d797343a2c62ea2dbb79e05645856214b16e60"},"schema_version":"1.0","source":{"id":"2606.18639","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.18639","created_at":"2026-06-19T16:11:43Z"},{"alias_kind":"arxiv_version","alias_value":"2606.18639v1","created_at":"2026-06-19T16:11:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.18639","created_at":"2026-06-19T16:11:43Z"},{"alias_kind":"pith_short_12","alias_value":"EL3MJAYXPIRX","created_at":"2026-06-19T16:11:43Z"},{"alias_kind":"pith_short_16","alias_value":"EL3MJAYXPIRX3CPK","created_at":"2026-06-19T16:11:43Z"},{"alias_kind":"pith_short_8","alias_value":"EL3MJAYX","created_at":"2026-06-19T16:11:43Z"}],"graph_snapshots":[{"event_id":"sha256:7d199e880242ed900f2f0b9b62e5b769db435f222a0c7375c1b54a3e19ca169f","target":"graph","created_at":"2026-06-19T16:11:43Z","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/2606.18639/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"If entanglement wedge reconstruction is exact, then (under certain assumptions) the area term in the RT formula is a c-number, indicating that the choice of a bulk quantum state does not influence the geometry. Recently Cao, Cheng, Karthikeyan, Li, and Preskill considered a generic perturbation away from exact entanglement wedge reconstruction. The optimal reconstruction was defined; based on this, an effective area function that depends nontrivially on the quantum state was defined and its properties were analyzed. Here we make one aspect of this picture more quantitative, by showing that if ","authors_text":"Edward Witten","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-17T03:22:29Z","title":"A Note on Corrections to Entanglement Wedge Reconstruction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.18639","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":"sha256:59a318834c765a66ceebab099cc39723157cdcdc97706a88807fea9cb7869e6e","target":"record","created_at":"2026-06-19T16:11:43Z","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":"29337ed401850db4cfd84e370f9197064fc773a248a30002d90a65e1ae0b7c3a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-17T03:22:29Z","title_canon_sha256":"cf6d5532f3cdff1c900f3c6256d797343a2c62ea2dbb79e05645856214b16e60"},"schema_version":"1.0","source":{"id":"2606.18639","kind":"arxiv","version":1}},"canonical_sha256":"22f6c483177a237d89eaa8e1177c33ac8273a11fff62875ae34fac03f20522f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22f6c483177a237d89eaa8e1177c33ac8273a11fff62875ae34fac03f20522f3","first_computed_at":"2026-06-19T16:11:43.239523Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:11:43.239523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qaLzxLta7CqNXaAJq+zcHCdT0mGoLHntjkMQ/41kcXBSQ/AtQRAyIbNG4x30WtBwJ6uZOBJkK+dt8XiCg1ZtDQ==","signature_status":"signed_v1","signed_at":"2026-06-19T16:11:43.239886Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.18639","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59a318834c765a66ceebab099cc39723157cdcdc97706a88807fea9cb7869e6e","sha256:7d199e880242ed900f2f0b9b62e5b769db435f222a0c7375c1b54a3e19ca169f"],"state_sha256":"72e560856de532abf9a66189ec1350824a9261c57794f2013cc3eb54e84dfd7b"}