{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:7FFQ6PU6RNIFUNT5STCJJUVSFH","short_pith_number":"pith:7FFQ6PU6","canonical_record":{"source":{"id":"2403.17475","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-03-26T08:09:14Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"f3e150cbd32be0b4a298e0a69dc9ae6fc61de3f0a29778b1b4d31b74571f5252","abstract_canon_sha256":"6e6d630166672766924845dced113dbfa9379dde77a775330fca585a56f3b5b9"},"schema_version":"1.0"},"canonical_sha256":"f94b0f3e9e8b505a367d94c494d2b229d31a7d0a95eef17829f63e8afb14aa6f","source":{"kind":"arxiv","id":"2403.17475","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.17475","created_at":"2026-07-05T08:00:51Z"},{"alias_kind":"arxiv_version","alias_value":"2403.17475v1","created_at":"2026-07-05T08:00:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.17475","created_at":"2026-07-05T08:00:51Z"},{"alias_kind":"pith_short_12","alias_value":"7FFQ6PU6RNIF","created_at":"2026-07-05T08:00:51Z"},{"alias_kind":"pith_short_16","alias_value":"7FFQ6PU6RNIFUNT5","created_at":"2026-07-05T08:00:51Z"},{"alias_kind":"pith_short_8","alias_value":"7FFQ6PU6","created_at":"2026-07-05T08:00:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:7FFQ6PU6RNIFUNT5STCJJUVSFH","target":"record","payload":{"canonical_record":{"source":{"id":"2403.17475","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-03-26T08:09:14Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"f3e150cbd32be0b4a298e0a69dc9ae6fc61de3f0a29778b1b4d31b74571f5252","abstract_canon_sha256":"6e6d630166672766924845dced113dbfa9379dde77a775330fca585a56f3b5b9"},"schema_version":"1.0"},"canonical_sha256":"f94b0f3e9e8b505a367d94c494d2b229d31a7d0a95eef17829f63e8afb14aa6f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:00:51.026999Z","signature_b64":"IylnG2fvPftGc1Uh22tqiIfP6delJAZz0vLY5wge46RTrQjdcZbsK79XJ2Hcvwi4S++P+2JQKDxWdoGSA9ZTBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f94b0f3e9e8b505a367d94c494d2b229d31a7d0a95eef17829f63e8afb14aa6f","last_reissued_at":"2026-07-05T08:00:51.026235Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:00:51.026235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.17475","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:00:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wLn5p+30vovEYejwmPW/8h0aFgUubVPtVbINGJDs5LIXP73fFxyFfU3FVHGBZiIv3ohGzA5YpdMu3c3yQaC/Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T14:44:54.296086Z"},"content_sha256":"40075eff81d578740eb34681525a72317804d5d4b88c61b9d9d0bdd166162dee","schema_version":"1.0","event_id":"sha256:40075eff81d578740eb34681525a72317804d5d4b88c61b9d9d0bdd166162dee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:7FFQ6PU6RNIFUNT5STCJJUVSFH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complexity Equals (Almost) Anything","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Robert C. Myers, Shan-Ming Ruan","submitted_at":"2024-03-26T08:09:14Z","abstract_excerpt":"Recent investigations [arXiv:2111.02429][arXiv:2210.09647][arXiv:2304.05453] have introduced an infinite class of novel gravitational observables in Asymptotically anti-de Sitter (AdS) space that reside on codimension-one or -zero regions of the bulk spacetime. These observables encompass well-established holographic complexity measures such as the maximum volume of the extremal hypersurfaces and the action or spacetime volume of the Wheeler-DeWitt (WDW) patch. Furthermore, this family of observables exhibits two universal properties when applied to the thermofield double (TFD) state: they exh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.17475","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.17475/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:00:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SEocC2yFLMDnX0c6hshyzqVzI8anssA+9jtXL7z7FStd3NUoGfs58bDop1GVIHvSClr4Lh0/fPEG75TngE8dDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T14:44:54.297118Z"},"content_sha256":"0e5ba1018ad490182eeb95f1457875ef4d5817ddb20c613cb1567decf3e34030","schema_version":"1.0","event_id":"sha256:0e5ba1018ad490182eeb95f1457875ef4d5817ddb20c613cb1567decf3e34030"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7FFQ6PU6RNIFUNT5STCJJUVSFH/bundle.json","state_url":"https://pith.science/pith/7FFQ6PU6RNIFUNT5STCJJUVSFH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7FFQ6PU6RNIFUNT5STCJJUVSFH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-03T14:44:54Z","links":{"resolver":"https://pith.science/pith/7FFQ6PU6RNIFUNT5STCJJUVSFH","bundle":"https://pith.science/pith/7FFQ6PU6RNIFUNT5STCJJUVSFH/bundle.json","state":"https://pith.science/pith/7FFQ6PU6RNIFUNT5STCJJUVSFH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7FFQ6PU6RNIFUNT5STCJJUVSFH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:7FFQ6PU6RNIFUNT5STCJJUVSFH","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":"6e6d630166672766924845dced113dbfa9379dde77a775330fca585a56f3b5b9","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-03-26T08:09:14Z","title_canon_sha256":"f3e150cbd32be0b4a298e0a69dc9ae6fc61de3f0a29778b1b4d31b74571f5252"},"schema_version":"1.0","source":{"id":"2403.17475","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.17475","created_at":"2026-07-05T08:00:51Z"},{"alias_kind":"arxiv_version","alias_value":"2403.17475v1","created_at":"2026-07-05T08:00:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.17475","created_at":"2026-07-05T08:00:51Z"},{"alias_kind":"pith_short_12","alias_value":"7FFQ6PU6RNIF","created_at":"2026-07-05T08:00:51Z"},{"alias_kind":"pith_short_16","alias_value":"7FFQ6PU6RNIFUNT5","created_at":"2026-07-05T08:00:51Z"},{"alias_kind":"pith_short_8","alias_value":"7FFQ6PU6","created_at":"2026-07-05T08:00:51Z"}],"graph_snapshots":[{"event_id":"sha256:0e5ba1018ad490182eeb95f1457875ef4d5817ddb20c613cb1567decf3e34030","target":"graph","created_at":"2026-07-05T08:00:51Z","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/2403.17475/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent investigations [arXiv:2111.02429][arXiv:2210.09647][arXiv:2304.05453] have introduced an infinite class of novel gravitational observables in Asymptotically anti-de Sitter (AdS) space that reside on codimension-one or -zero regions of the bulk spacetime. These observables encompass well-established holographic complexity measures such as the maximum volume of the extremal hypersurfaces and the action or spacetime volume of the Wheeler-DeWitt (WDW) patch. Furthermore, this family of observables exhibits two universal properties when applied to the thermofield double (TFD) state: they exh","authors_text":"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":"2024-03-26T08:09:14Z","title":"Complexity Equals (Almost) Anything"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.17475","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":"sha256:40075eff81d578740eb34681525a72317804d5d4b88c61b9d9d0bdd166162dee","target":"record","created_at":"2026-07-05T08:00:51Z","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":"6e6d630166672766924845dced113dbfa9379dde77a775330fca585a56f3b5b9","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-03-26T08:09:14Z","title_canon_sha256":"f3e150cbd32be0b4a298e0a69dc9ae6fc61de3f0a29778b1b4d31b74571f5252"},"schema_version":"1.0","source":{"id":"2403.17475","kind":"arxiv","version":1}},"canonical_sha256":"f94b0f3e9e8b505a367d94c494d2b229d31a7d0a95eef17829f63e8afb14aa6f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f94b0f3e9e8b505a367d94c494d2b229d31a7d0a95eef17829f63e8afb14aa6f","first_computed_at":"2026-07-05T08:00:51.026235Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:00:51.026235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IylnG2fvPftGc1Uh22tqiIfP6delJAZz0vLY5wge46RTrQjdcZbsK79XJ2Hcvwi4S++P+2JQKDxWdoGSA9ZTBw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:00:51.026999Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.17475","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40075eff81d578740eb34681525a72317804d5d4b88c61b9d9d0bdd166162dee","sha256:0e5ba1018ad490182eeb95f1457875ef4d5817ddb20c613cb1567decf3e34030"],"state_sha256":"823dcd165c053a4f859e77a9e94ef1bd4e8c5d593a36666e7bb6176399591dd8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QgjV8Yn0rkDAphGoK6zgoZHAgeQEyx/+M+Uw05KgnAkSmUeWT3WBk/3lmHSk0owlayXO3fIi/EJmtMENQj02Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T14:44:54.304987Z","bundle_sha256":"4fa098fc5caf00c78c592304a90f412160d88edbb22c5043587ebaf9f1336259"}}