{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MKTMZ6A7ISV37N76VHG5YJLRWF","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":"3bf3f2135bb0058ca9bcec4bd83f60fad20e37da4096772e30acbe076d95dfa9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-03T11:27:18Z","title_canon_sha256":"1fa8519c2498363b2b3e7e55bb9530cb54e8da6fd65ce0e0df1587728364cf66"},"schema_version":"1.0","source":{"id":"1807.01088","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.01088","created_at":"2026-05-17T23:57:10Z"},{"alias_kind":"arxiv_version","alias_value":"1807.01088v3","created_at":"2026-05-17T23:57:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.01088","created_at":"2026-05-17T23:57:10Z"},{"alias_kind":"pith_short_12","alias_value":"MKTMZ6A7ISV3","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MKTMZ6A7ISV37N76","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MKTMZ6A7","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:fc12415a47dd8d8062a805460a0ddace92718374d478c740e71a8f82eb7b47d5","target":"graph","created_at":"2026-05-17T23:57:10Z","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 study the effect of a probe string to black hole complexity according to the CA (Complexity equals Action) conjecture. Our system contains a particle moving on the boundary of black hole spacetime. In the dual description this corresponds to the insertion of a fundamental string on the bulk spacetime. The total action consists of the Einstein-Hilbert term and the Nambu-Goto term. The effect of this string is expressed by the Nambu-Goto term. Focusing on the Nambu-Goto term, we analyse the time development of this system. Our results show some interesting properties of complexity. This gives","authors_text":"Koichi Nagasaki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-03T11:27:18Z","title":"Complexity growth of rotating black holes with a probe string"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.01088","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:b241a01ff63a048d055739f0910aed0707379ebe3f260a1d547e60a2d60a128b","target":"record","created_at":"2026-05-17T23:57:10Z","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":"3bf3f2135bb0058ca9bcec4bd83f60fad20e37da4096772e30acbe076d95dfa9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-03T11:27:18Z","title_canon_sha256":"1fa8519c2498363b2b3e7e55bb9530cb54e8da6fd65ce0e0df1587728364cf66"},"schema_version":"1.0","source":{"id":"1807.01088","kind":"arxiv","version":3}},"canonical_sha256":"62a6ccf81f44abbfb7fea9cddc2571b14f2e7f44eaafa428681994612e6d80d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62a6ccf81f44abbfb7fea9cddc2571b14f2e7f44eaafa428681994612e6d80d2","first_computed_at":"2026-05-17T23:57:10.259414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:10.259414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zBioozyzgEbR2fTYmtl7rA+SbXBA1TaWD7dEK/uHcGlQ0iA5Lv4SQlTGB6YAXkTN9d4V6zUxSizzFZs06X5VDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:10.259835Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.01088","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b241a01ff63a048d055739f0910aed0707379ebe3f260a1d547e60a2d60a128b","sha256:fc12415a47dd8d8062a805460a0ddace92718374d478c740e71a8f82eb7b47d5"],"state_sha256":"d79e106f45f9d6fd44d18f6ead1fe03c4bd6da74805e48447317dbd484e17f87"}