{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:M64BYNWITHGBTB4IPFZ2TAI2BX","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":"5d1945b7129efa4d9b6bdd7cc34882ab27d7d58635e904fc5d27cc10e0973354","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-18T07:33:53Z","title_canon_sha256":"3ad153c8f14a4aa485f3ec092a0203746d149f2f046c552342b54da156bcbd55"},"schema_version":"1.0","source":{"id":"2210.09647","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.09647","created_at":"2026-07-05T05:41:31Z"},{"alias_kind":"arxiv_version","alias_value":"2210.09647v1","created_at":"2026-07-05T05:41:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.09647","created_at":"2026-07-05T05:41:31Z"},{"alias_kind":"pith_short_12","alias_value":"M64BYNWITHGB","created_at":"2026-07-05T05:41:31Z"},{"alias_kind":"pith_short_16","alias_value":"M64BYNWITHGBTB4I","created_at":"2026-07-05T05:41:31Z"},{"alias_kind":"pith_short_8","alias_value":"M64BYNWI","created_at":"2026-07-05T05:41:31Z"}],"graph_snapshots":[{"event_id":"sha256:223a7135ef061953b057dbabec61148264c389b40ee13ca27412e4e9f49d9c08","target":"graph","created_at":"2026-07-05T05:41:31Z","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/2210.09647/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We expand on our results in arXiv:2111.02429 to present a broad new class of gravitational observables in asymptotically Anti-de Sitter space living on general codimension-zero regions of the bulk spacetime. By taking distinct limits, these observables can reduce to well-studied holographic complexity proposals, e.g., the volume of the maximal slice and the action or spacetime volume of the Wheeler-DeWitt patch. As with the codimension-one family found in arXiv:2111.02429, these new observables display two key universal features for the thermofield double state: they grow linearly in time at l","authors_text":"Alexandre Belin, Antony J. Speranza, G\\'abor S\\'arosi, Robert C. Myers, Shan-Ming Ruan","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-18T07:33:53Z","title":"Complexity Equals Anything II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.09647","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:bcac1fe09bc12c5dee51087b860a4a267be33c650a566b4dda465c1ad39b2d0b","target":"record","created_at":"2026-07-05T05:41:31Z","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":"5d1945b7129efa4d9b6bdd7cc34882ab27d7d58635e904fc5d27cc10e0973354","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-18T07:33:53Z","title_canon_sha256":"3ad153c8f14a4aa485f3ec092a0203746d149f2f046c552342b54da156bcbd55"},"schema_version":"1.0","source":{"id":"2210.09647","kind":"arxiv","version":1}},"canonical_sha256":"67b81c36c899cc1987887973a9811a0dd882398bcc55aec26d11e1bd942862e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67b81c36c899cc1987887973a9811a0dd882398bcc55aec26d11e1bd942862e5","first_computed_at":"2026-07-05T05:41:31.023186Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:41:31.023186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mVY2qnhezYl/z5a9uCKJAAdIaPjFjtF7AKObpSld1bHRnjdCg43Z0eJ9HETaw29vs6yd4d0NDTFKDOhN75TxAg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:41:31.023634Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.09647","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bcac1fe09bc12c5dee51087b860a4a267be33c650a566b4dda465c1ad39b2d0b","sha256:223a7135ef061953b057dbabec61148264c389b40ee13ca27412e4e9f49d9c08"],"state_sha256":"6ec5853c4da6fbb0f28135455889cea9e50ae411cd85f040b0f38aaf2d99973a"}