{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZZ7DGYIONMAHOYJ6VJVPLOQIKZ","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":"d14aa41911a910b99af1f2b53771d0e812e04c72021e2ce1d3af7b1ed59d2bd2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-22T14:13:54Z","title_canon_sha256":"9c76557bc949683f48b767d2ba80d8ea2c0f6d7c6febb95b9598e939bb707fe5"},"schema_version":"1.0","source":{"id":"1509.06614","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.06614","created_at":"2026-05-18T01:22:50Z"},{"alias_kind":"arxiv_version","alias_value":"1509.06614v3","created_at":"2026-05-18T01:22:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06614","created_at":"2026-05-18T01:22:50Z"},{"alias_kind":"pith_short_12","alias_value":"ZZ7DGYIONMAH","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZZ7DGYIONMAHOYJ6","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZZ7DGYIO","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:7fcba9d18efc87736e0e810287055ff6ca593df576a0d758789157a01af4dda2","target":"graph","created_at":"2026-05-18T01:22:50Z","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":"For a field theory with a gravitational dual, following Susskind's proposal we define holographic complexity for a subsystem. The holographic complexity is proportional to the volume of a co-dimension one time slice in the bulk geometry enclosed by the extremal co-dimension two hyper-surface appearing in the computation of the holographic entanglement entropy. The proportionally constant, up to a numerical order of one factor is G R where G is the Newton constant and R is the curvature of the space time. We study this quantity in certain holographic model. We also explore a possible relation b","authors_text":"Mohsen Alishahiha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-22T14:13:54Z","title":"Holographic Complexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06614","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":"sha256:2fcf91f26b4aea7cd4e72aca4cb25d7c20fe4848122dd61feb1b8e12ccfab8be","target":"record","created_at":"2026-05-18T01:22:50Z","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":"d14aa41911a910b99af1f2b53771d0e812e04c72021e2ce1d3af7b1ed59d2bd2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-22T14:13:54Z","title_canon_sha256":"9c76557bc949683f48b767d2ba80d8ea2c0f6d7c6febb95b9598e939bb707fe5"},"schema_version":"1.0","source":{"id":"1509.06614","kind":"arxiv","version":3}},"canonical_sha256":"ce7e33610e6b0077613eaa6af5ba0856490f075034ec7b457a4d7c37044ed658","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce7e33610e6b0077613eaa6af5ba0856490f075034ec7b457a4d7c37044ed658","first_computed_at":"2026-05-18T01:22:50.424690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:50.424690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JPiARc2fHvxpXc5gvobY2c9AieatWRuLb9gy6ECjha+GV2IIfFjYOnniS1SyaX8ahaMlld071rih0CoMrW7PCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:50.425245Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.06614","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fcf91f26b4aea7cd4e72aca4cb25d7c20fe4848122dd61feb1b8e12ccfab8be","sha256:7fcba9d18efc87736e0e810287055ff6ca593df576a0d758789157a01af4dda2"],"state_sha256":"ecd69d945ebb66d707e749453cf5e64c12560b5f9a68d2164010b4384c910cfa"}