{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WJ5GBRXJJLCO6ZIYCYVEZNL73B","short_pith_number":"pith:WJ5GBRXJ","canonical_record":{"source":{"id":"1606.08307","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-23T16:00:09Z","cross_cats_sorted":[],"title_canon_sha256":"1a7e0f11ffff0d88a4d4db273b2e39a9dcf9803066ac05f1fb8e9e361047c10e","abstract_canon_sha256":"1aa582d40d17512d76c5311ea3bc55f60e862808339ec0c257e456653f695a90"},"schema_version":"1.0"},"canonical_sha256":"b27a60c6e94ac4ef6518162a4cb57fd85fb1a5a8ed3642834d5c38ce829219f2","source":{"kind":"arxiv","id":"1606.08307","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.08307","created_at":"2026-05-18T01:03:40Z"},{"alias_kind":"arxiv_version","alias_value":"1606.08307v3","created_at":"2026-05-18T01:03:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08307","created_at":"2026-05-18T01:03:40Z"},{"alias_kind":"pith_short_12","alias_value":"WJ5GBRXJJLCO","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WJ5GBRXJJLCO6ZIY","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WJ5GBRXJ","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WJ5GBRXJJLCO6ZIYCYVEZNL73B","target":"record","payload":{"canonical_record":{"source":{"id":"1606.08307","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-23T16:00:09Z","cross_cats_sorted":[],"title_canon_sha256":"1a7e0f11ffff0d88a4d4db273b2e39a9dcf9803066ac05f1fb8e9e361047c10e","abstract_canon_sha256":"1aa582d40d17512d76c5311ea3bc55f60e862808339ec0c257e456653f695a90"},"schema_version":"1.0"},"canonical_sha256":"b27a60c6e94ac4ef6518162a4cb57fd85fb1a5a8ed3642834d5c38ce829219f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:40.574963Z","signature_b64":"+jocxhRERHDjsYrts6W3D3uY+/U+TAFeqdss03E5LJXmNe6JwOktRLAs5yumVh66t48H5uGUQbIjt/IwsCKNBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b27a60c6e94ac4ef6518162a4cb57fd85fb1a5a8ed3642834d5c38ce829219f2","last_reissued_at":"2026-05-18T01:03:40.574433Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:40.574433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.08307","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:03:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lWHAfraaBLIWiSe5pXfSmGrULpF0z60OJnU1kc0CeBBq67/u+kkHC9FTyioZrODQ+Au5+b7+gjG5ZID7Dm8uAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T16:28:37.869064Z"},"content_sha256":"ef359e451d07da656b9ee78f5d98a93ec1282d12430779c561517423a0e56848","schema_version":"1.0","event_id":"sha256:ef359e451d07da656b9ee78f5d98a93ec1282d12430779c561517423a0e56848"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WJ5GBRXJJLCO6ZIYCYVEZNL73B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complexity Growth for AdS Black Holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Rong-Gen Cai, Rong-Hui Peng, Run-Qiu Yang, Shan-Ming Ruan, Shao-Jiang Wang","submitted_at":"2016-06-23T16:00:09Z","abstract_excerpt":"Recently a Complexity-Action (CA) duality conjecture has been proposed, which relates the quantum complexity of a holographic boundary state to the action of a Wheeler-DeWitt (WDW) patch in the anti-de Sitter (AdS) bulk. In this paper we further investigate the duality conjecture for stationary AdS black holes and derive some exact results for the growth rate of action within the Wheeler-DeWitt (WDW) patch at late time approximation, which is supposed to be dual to the growth rate of quantum complexity of holographic state. Based on the results from the general $D$-dimensional Reissner-Nordstr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08307","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:03:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bz5LtpfsKlGff0NDGXKi3nMmruqnP3ogVMVGkJB0QZf5zZqivGtQbfAXTFJmZ1hk7iR1y2UJ7YgkopR/QLX8Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T16:28:37.869418Z"},"content_sha256":"bd56cddae114a8a8ce4e68cd5639b46148a3da8de2153b286783c668bedf7e90","schema_version":"1.0","event_id":"sha256:bd56cddae114a8a8ce4e68cd5639b46148a3da8de2153b286783c668bedf7e90"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WJ5GBRXJJLCO6ZIYCYVEZNL73B/bundle.json","state_url":"https://pith.science/pith/WJ5GBRXJJLCO6ZIYCYVEZNL73B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WJ5GBRXJJLCO6ZIYCYVEZNL73B/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":"2026-06-28T16:28:37Z","links":{"resolver":"https://pith.science/pith/WJ5GBRXJJLCO6ZIYCYVEZNL73B","bundle":"https://pith.science/pith/WJ5GBRXJJLCO6ZIYCYVEZNL73B/bundle.json","state":"https://pith.science/pith/WJ5GBRXJJLCO6ZIYCYVEZNL73B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WJ5GBRXJJLCO6ZIYCYVEZNL73B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WJ5GBRXJJLCO6ZIYCYVEZNL73B","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":"1aa582d40d17512d76c5311ea3bc55f60e862808339ec0c257e456653f695a90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-23T16:00:09Z","title_canon_sha256":"1a7e0f11ffff0d88a4d4db273b2e39a9dcf9803066ac05f1fb8e9e361047c10e"},"schema_version":"1.0","source":{"id":"1606.08307","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.08307","created_at":"2026-05-18T01:03:40Z"},{"alias_kind":"arxiv_version","alias_value":"1606.08307v3","created_at":"2026-05-18T01:03:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08307","created_at":"2026-05-18T01:03:40Z"},{"alias_kind":"pith_short_12","alias_value":"WJ5GBRXJJLCO","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WJ5GBRXJJLCO6ZIY","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WJ5GBRXJ","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:bd56cddae114a8a8ce4e68cd5639b46148a3da8de2153b286783c668bedf7e90","target":"graph","created_at":"2026-05-18T01:03:40Z","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":"Recently a Complexity-Action (CA) duality conjecture has been proposed, which relates the quantum complexity of a holographic boundary state to the action of a Wheeler-DeWitt (WDW) patch in the anti-de Sitter (AdS) bulk. In this paper we further investigate the duality conjecture for stationary AdS black holes and derive some exact results for the growth rate of action within the Wheeler-DeWitt (WDW) patch at late time approximation, which is supposed to be dual to the growth rate of quantum complexity of holographic state. Based on the results from the general $D$-dimensional Reissner-Nordstr","authors_text":"Rong-Gen Cai, Rong-Hui Peng, Run-Qiu Yang, Shan-Ming Ruan, Shao-Jiang Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-23T16:00:09Z","title":"Complexity Growth for AdS Black Holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08307","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:ef359e451d07da656b9ee78f5d98a93ec1282d12430779c561517423a0e56848","target":"record","created_at":"2026-05-18T01:03:40Z","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":"1aa582d40d17512d76c5311ea3bc55f60e862808339ec0c257e456653f695a90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-23T16:00:09Z","title_canon_sha256":"1a7e0f11ffff0d88a4d4db273b2e39a9dcf9803066ac05f1fb8e9e361047c10e"},"schema_version":"1.0","source":{"id":"1606.08307","kind":"arxiv","version":3}},"canonical_sha256":"b27a60c6e94ac4ef6518162a4cb57fd85fb1a5a8ed3642834d5c38ce829219f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b27a60c6e94ac4ef6518162a4cb57fd85fb1a5a8ed3642834d5c38ce829219f2","first_computed_at":"2026-05-18T01:03:40.574433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:40.574433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+jocxhRERHDjsYrts6W3D3uY+/U+TAFeqdss03E5LJXmNe6JwOktRLAs5yumVh66t48H5uGUQbIjt/IwsCKNBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:40.574963Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.08307","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef359e451d07da656b9ee78f5d98a93ec1282d12430779c561517423a0e56848","sha256:bd56cddae114a8a8ce4e68cd5639b46148a3da8de2153b286783c668bedf7e90"],"state_sha256":"4e738da8396c19cda9a2dc97acbb651b2f5446f107764a63da686c291d29474e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IDy69N9GerSEjJk7McUeFM1hfq4reYOQuFBX5+sBvTWe/64PFVWaZpqemhDXhrkY7g2yy0cOjqfpknrbgBkaAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T16:28:37.871344Z","bundle_sha256":"404b8d6d55a748c5beb47586fba9e13da5ea551002348aa14c0c1a3d7411b93c"}}