{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:PRRCDZ7NAQFJ3ZSJUJARVUV4DI","short_pith_number":"pith:PRRCDZ7N","schema_version":"1.0","canonical_sha256":"7c6221e7ed040a9de649a2411ad2bc1a2be34e5a8dd33d5ad21b473f1332ed9b","source":{"kind":"arxiv","id":"2110.14672","version":1},"attestation_state":"computed","paper":{"title":"Quantum Computational Complexity -- From Quantum Information to Black Holes and Back","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Giuseppe Policastro, Shira Chapman","submitted_at":"2021-10-27T18:00:12Z","abstract_excerpt":"Quantum computational complexity estimates the difficulty of constructing quantum states from elementary operations, a problem of prime importance for quantum computation. Surprisingly, this quantity can also serve to study a completely different physical problem - that of information processing inside black holes. Quantum computational complexity was suggested as a new entry in the holographic dictionary, which extends the connection between geometry and information and resolves the puzzle of why black hole interiors keep growing for a very long time. In this pedagogical review, we present th"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2110.14672","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-10-27T18:00:12Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"9c52cf756729c5cb6d0d811a235c6fd5ce48f6db4d0189eaa84f43d2b30ec959","abstract_canon_sha256":"ff75386fb04d7d87acab2f315f687d464da0055ce36a895ef2ea40ce5886a3bf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:01:02.132155Z","signature_b64":"KT58OZ/NRIqgppQk4s1uVF6Bf+AIDHnAu89tLW0qS6+rFfS9XXe01k9KDOpjX5jnW03YGj5ODjQhNwQqKTo3Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c6221e7ed040a9de649a2411ad2bc1a2be34e5a8dd33d5ad21b473f1332ed9b","last_reissued_at":"2026-07-05T04:01:02.131706Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:01:02.131706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Computational Complexity -- From Quantum Information to Black Holes and Back","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Giuseppe Policastro, Shira Chapman","submitted_at":"2021-10-27T18:00:12Z","abstract_excerpt":"Quantum computational complexity estimates the difficulty of constructing quantum states from elementary operations, a problem of prime importance for quantum computation. Surprisingly, this quantity can also serve to study a completely different physical problem - that of information processing inside black holes. Quantum computational complexity was suggested as a new entry in the holographic dictionary, which extends the connection between geometry and information and resolves the puzzle of why black hole interiors keep growing for a very long time. In this pedagogical review, we present th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.14672","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/2110.14672/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2110.14672","created_at":"2026-07-05T04:01:02.131762+00:00"},{"alias_kind":"arxiv_version","alias_value":"2110.14672v1","created_at":"2026-07-05T04:01:02.131762+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.14672","created_at":"2026-07-05T04:01:02.131762+00:00"},{"alias_kind":"pith_short_12","alias_value":"PRRCDZ7NAQFJ","created_at":"2026-07-05T04:01:02.131762+00:00"},{"alias_kind":"pith_short_16","alias_value":"PRRCDZ7NAQFJ3ZSJ","created_at":"2026-07-05T04:01:02.131762+00:00"},{"alias_kind":"pith_short_8","alias_value":"PRRCDZ7N","created_at":"2026-07-05T04:01:02.131762+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":7,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.08411","citing_title":"The Geometry of Quantum Complexity in Open Systems","ref_index":4,"is_internal_anchor":true},{"citing_arxiv_id":"2606.03049","citing_title":"Holographic complexity of de-Sitter black holes","ref_index":57,"is_internal_anchor":false},{"citing_arxiv_id":"2311.18804","citing_title":"Holographic complexity of the Klebanov-Strassler background","ref_index":1,"is_internal_anchor":false},{"citing_arxiv_id":"2509.14810","citing_title":"Krylov Complexity for Open Quantum System: Dissipation and Decoherence","ref_index":38,"is_internal_anchor":false},{"citing_arxiv_id":"2507.06286","citing_title":"Krylov Complexity","ref_index":105,"is_internal_anchor":false},{"citing_arxiv_id":"2602.11627","citing_title":"Krylov Subspace Dynamics as Near-Horizon AdS$_2$ Holography","ref_index":35,"is_internal_anchor":false},{"citing_arxiv_id":"2604.26376","citing_title":"Quantum Complexity and New Directions in Nuclear Physics and High-Energy Physics Phenomenology","ref_index":82,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PRRCDZ7NAQFJ3ZSJUJARVUV4DI","json":"https://pith.science/pith/PRRCDZ7NAQFJ3ZSJUJARVUV4DI.json","graph_json":"https://pith.science/api/pith-number/PRRCDZ7NAQFJ3ZSJUJARVUV4DI/graph.json","events_json":"https://pith.science/api/pith-number/PRRCDZ7NAQFJ3ZSJUJARVUV4DI/events.json","paper":"https://pith.science/paper/PRRCDZ7N"},"agent_actions":{"view_html":"https://pith.science/pith/PRRCDZ7NAQFJ3ZSJUJARVUV4DI","download_json":"https://pith.science/pith/PRRCDZ7NAQFJ3ZSJUJARVUV4DI.json","view_paper":"https://pith.science/paper/PRRCDZ7N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2110.14672&json=true","fetch_graph":"https://pith.science/api/pith-number/PRRCDZ7NAQFJ3ZSJUJARVUV4DI/graph.json","fetch_events":"https://pith.science/api/pith-number/PRRCDZ7NAQFJ3ZSJUJARVUV4DI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PRRCDZ7NAQFJ3ZSJUJARVUV4DI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PRRCDZ7NAQFJ3ZSJUJARVUV4DI/action/storage_attestation","attest_author":"https://pith.science/pith/PRRCDZ7NAQFJ3ZSJUJARVUV4DI/action/author_attestation","sign_citation":"https://pith.science/pith/PRRCDZ7NAQFJ3ZSJUJARVUV4DI/action/citation_signature","submit_replication":"https://pith.science/pith/PRRCDZ7NAQFJ3ZSJUJARVUV4DI/action/replication_record"}},"created_at":"2026-07-05T04:01:02.131762+00:00","updated_at":"2026-07-05T04:01:02.131762+00:00"}