{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:IEVH6OMFBCQYZJSU56ULFRSLZ7","short_pith_number":"pith:IEVH6OMF","canonical_record":{"source":{"id":"1509.07876","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-25T20:06:58Z","cross_cats_sorted":[],"title_canon_sha256":"00bbdaa7d7a9643ab91d3f69f9f88a967198da7bb4847ef7f696194613074b5d","abstract_canon_sha256":"d4683563a8004c74afbad51f53a18f51a0c6c269c4919048bde5a446af9af4d5"},"schema_version":"1.0"},"canonical_sha256":"412a7f398508a18ca654efa8b2c64bcfca497c066c13b171644223de34eccad7","source":{"kind":"arxiv","id":"1509.07876","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07876","created_at":"2026-05-18T01:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07876v3","created_at":"2026-05-18T01:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07876","created_at":"2026-05-18T01:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"IEVH6OMFBCQY","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IEVH6OMFBCQYZJSU","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IEVH6OMF","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:IEVH6OMFBCQYZJSU56ULFRSLZ7","target":"record","payload":{"canonical_record":{"source":{"id":"1509.07876","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-25T20:06:58Z","cross_cats_sorted":[],"title_canon_sha256":"00bbdaa7d7a9643ab91d3f69f9f88a967198da7bb4847ef7f696194613074b5d","abstract_canon_sha256":"d4683563a8004c74afbad51f53a18f51a0c6c269c4919048bde5a446af9af4d5"},"schema_version":"1.0"},"canonical_sha256":"412a7f398508a18ca654efa8b2c64bcfca497c066c13b171644223de34eccad7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:06.706718Z","signature_b64":"aDrNmrPM/v7wAhFAc/eFqayBhNJRvaL4vOuV1oPdUZ7k+JyCUm9FXJDhzIl+l7aOXtVdCqblZ4NIoNLQC+HTAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"412a7f398508a18ca654efa8b2c64bcfca497c066c13b171644223de34eccad7","last_reissued_at":"2026-05-18T01:15:06.706109Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:06.706109Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.07876","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":"2026-05-18T01:15:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nDssZkuEZ22UFg1bJ9S3L1Vs09in5BLskurLKHYO44TboRSFoeU7On7iz/5uwiCPqG/KvBd7wS17ddJBTJ7AAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:31:47.143803Z"},"content_sha256":"e0a0ceab37b25529df5980c8119fa9c4a579f1e53e966454de001c634a14f9d6","schema_version":"1.0","event_id":"sha256:e0a0ceab37b25529df5980c8119fa9c4a579f1e53e966454de001c634a14f9d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:IEVH6OMFBCQYZJSU56ULFRSLZ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complexity Equals Action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Adam R. Brown, Brian Swingle, Daniel A. Roberts, Leonard Susskind, Ying Zhao","submitted_at":"2015-09-25T20:06:58Z","abstract_excerpt":"We conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that we call a Wheeler-DeWitt patch. We illustrate and test the conjecture in the context of neutral, charged, and rotating black holes in AdS, as well as black holes perturbed with static shells and with shock waves. This conjecture evolved from a previous conjecture that complexity is dual to spatial volume, but appears to be a major improvement over the original. In light of our results, we discuss the hypothesis that black holes are the fastest computers in nature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07876","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":"2026-05-18T01:15:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bmQx27ldw9vErKtCN85NE0UTsDHVUT8t6ummNFBQXK8/MIbr2B4CLDPNzl3KPEMpSB3Af36hyxB+N2s/4meMDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:31:47.144148Z"},"content_sha256":"01b5da9301fa9f51d0eb070b4d4037204c9376227387989b0606e96d1caad2b9","schema_version":"1.0","event_id":"sha256:01b5da9301fa9f51d0eb070b4d4037204c9376227387989b0606e96d1caad2b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IEVH6OMFBCQYZJSU56ULFRSLZ7/bundle.json","state_url":"https://pith.science/pith/IEVH6OMFBCQYZJSU56ULFRSLZ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IEVH6OMFBCQYZJSU56ULFRSLZ7/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":"2026-06-02T20:31:47Z","links":{"resolver":"https://pith.science/pith/IEVH6OMFBCQYZJSU56ULFRSLZ7","bundle":"https://pith.science/pith/IEVH6OMFBCQYZJSU56ULFRSLZ7/bundle.json","state":"https://pith.science/pith/IEVH6OMFBCQYZJSU56ULFRSLZ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IEVH6OMFBCQYZJSU56ULFRSLZ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:IEVH6OMFBCQYZJSU56ULFRSLZ7","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":"d4683563a8004c74afbad51f53a18f51a0c6c269c4919048bde5a446af9af4d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-25T20:06:58Z","title_canon_sha256":"00bbdaa7d7a9643ab91d3f69f9f88a967198da7bb4847ef7f696194613074b5d"},"schema_version":"1.0","source":{"id":"1509.07876","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07876","created_at":"2026-05-18T01:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07876v3","created_at":"2026-05-18T01:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07876","created_at":"2026-05-18T01:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"IEVH6OMFBCQY","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IEVH6OMFBCQYZJSU","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IEVH6OMF","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:01b5da9301fa9f51d0eb070b4d4037204c9376227387989b0606e96d1caad2b9","target":"graph","created_at":"2026-05-18T01:15:06Z","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":"We conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that we call a Wheeler-DeWitt patch. We illustrate and test the conjecture in the context of neutral, charged, and rotating black holes in AdS, as well as black holes perturbed with static shells and with shock waves. This conjecture evolved from a previous conjecture that complexity is dual to spatial volume, but appears to be a major improvement over the original. In light of our results, we discuss the hypothesis that black holes are the fastest computers in nature.","authors_text":"Adam R. Brown, Brian Swingle, Daniel A. Roberts, Leonard Susskind, Ying Zhao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-25T20:06:58Z","title":"Complexity Equals Action"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07876","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:e0a0ceab37b25529df5980c8119fa9c4a579f1e53e966454de001c634a14f9d6","target":"record","created_at":"2026-05-18T01:15:06Z","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":"d4683563a8004c74afbad51f53a18f51a0c6c269c4919048bde5a446af9af4d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-25T20:06:58Z","title_canon_sha256":"00bbdaa7d7a9643ab91d3f69f9f88a967198da7bb4847ef7f696194613074b5d"},"schema_version":"1.0","source":{"id":"1509.07876","kind":"arxiv","version":3}},"canonical_sha256":"412a7f398508a18ca654efa8b2c64bcfca497c066c13b171644223de34eccad7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"412a7f398508a18ca654efa8b2c64bcfca497c066c13b171644223de34eccad7","first_computed_at":"2026-05-18T01:15:06.706109Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:06.706109Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aDrNmrPM/v7wAhFAc/eFqayBhNJRvaL4vOuV1oPdUZ7k+JyCUm9FXJDhzIl+l7aOXtVdCqblZ4NIoNLQC+HTAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:06.706718Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.07876","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0a0ceab37b25529df5980c8119fa9c4a579f1e53e966454de001c634a14f9d6","sha256:01b5da9301fa9f51d0eb070b4d4037204c9376227387989b0606e96d1caad2b9"],"state_sha256":"8a730a61a82ce51bb6cc518f29c0a5f18a05506b2bc2ffa63ae10e2cb01f4aa7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eH4+RbjjhbMlEG0+TS+C4OYsf7cX9VHKQp2aYMklevW/yBqu9DPy8W+K09vF9Hak9B6PTSYrbhvy9k26lHw4BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T20:31:47.146131Z","bundle_sha256":"65c3b6568163ec6ef2621cdaf2a013dbfaeac50d969d28b352f50655035ec763"}}