{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:5QIQC5554LJVOXD3PL7XC2PBFU","short_pith_number":"pith:5QIQC555","schema_version":"1.0","canonical_sha256":"ec110177bde2d3575c7b7aff7169e12d0aca958d671d185688e7503676b9f684","source":{"kind":"arxiv","id":"1807.04363","version":2},"attestation_state":"computed","paper":{"title":"Scrambling Time and Causal Structure of the Photon Sphere of a Schwarzschild Black Hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"gr-qc","authors_text":"Peter W. Shor","submitted_at":"2018-07-11T21:58:27Z","abstract_excerpt":"Recently, physicists have started applying quantum information theory to black holes. This led to the conjecture that black holes are the fastest scramblers of information, and that they scramble it in time order M log M, where M is the mass of the black hole in natural units. As stated above, the conjecture is not completely defined, as there are several possible definitions of scrambling times. It appears that not all papers that refer to this conjecture interpret it the same way. We consider a definition of scrambling time stronger than the one given in the paper that first proposed this co"},"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":"1807.04363","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-07-11T21:58:27Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"4663ab087fddda81ce3a58af22fd90332a89a66ff4966c1f7dcb82edafee8953","abstract_canon_sha256":"1f0984d2855f4a366dc8b8575b82b44af998a250a8ea89a539933bbef68ee90b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:36.669482Z","signature_b64":"9BKdvptCvaCGWRAjeFXICqkeTrKnB9sy0ZZL4wpolzbOz4A9H49aRGU9iYOqSgPf5sViuOVkgsTkSgMcIeuVDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec110177bde2d3575c7b7aff7169e12d0aca958d671d185688e7503676b9f684","last_reissued_at":"2026-05-18T00:10:36.669001Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:36.669001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scrambling Time and Causal Structure of the Photon Sphere of a Schwarzschild Black Hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"gr-qc","authors_text":"Peter W. Shor","submitted_at":"2018-07-11T21:58:27Z","abstract_excerpt":"Recently, physicists have started applying quantum information theory to black holes. This led to the conjecture that black holes are the fastest scramblers of information, and that they scramble it in time order M log M, where M is the mass of the black hole in natural units. As stated above, the conjecture is not completely defined, as there are several possible definitions of scrambling times. It appears that not all papers that refer to this conjecture interpret it the same way. We consider a definition of scrambling time stronger than the one given in the paper that first proposed this co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.04363","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1807.04363","created_at":"2026-05-18T00:10:36.669082+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.04363v2","created_at":"2026-05-18T00:10:36.669082+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.04363","created_at":"2026-05-18T00:10:36.669082+00:00"},{"alias_kind":"pith_short_12","alias_value":"5QIQC5554LJV","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_16","alias_value":"5QIQC5554LJVOXD3","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_8","alias_value":"5QIQC555","created_at":"2026-05-18T12:32:08.215937+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.06993","citing_title":"The Speed of Quantum Information Spreading in Chaotic Systems","ref_index":99,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5QIQC5554LJVOXD3PL7XC2PBFU","json":"https://pith.science/pith/5QIQC5554LJVOXD3PL7XC2PBFU.json","graph_json":"https://pith.science/api/pith-number/5QIQC5554LJVOXD3PL7XC2PBFU/graph.json","events_json":"https://pith.science/api/pith-number/5QIQC5554LJVOXD3PL7XC2PBFU/events.json","paper":"https://pith.science/paper/5QIQC555"},"agent_actions":{"view_html":"https://pith.science/pith/5QIQC5554LJVOXD3PL7XC2PBFU","download_json":"https://pith.science/pith/5QIQC5554LJVOXD3PL7XC2PBFU.json","view_paper":"https://pith.science/paper/5QIQC555","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.04363&json=true","fetch_graph":"https://pith.science/api/pith-number/5QIQC5554LJVOXD3PL7XC2PBFU/graph.json","fetch_events":"https://pith.science/api/pith-number/5QIQC5554LJVOXD3PL7XC2PBFU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5QIQC5554LJVOXD3PL7XC2PBFU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5QIQC5554LJVOXD3PL7XC2PBFU/action/storage_attestation","attest_author":"https://pith.science/pith/5QIQC5554LJVOXD3PL7XC2PBFU/action/author_attestation","sign_citation":"https://pith.science/pith/5QIQC5554LJVOXD3PL7XC2PBFU/action/citation_signature","submit_replication":"https://pith.science/pith/5QIQC5554LJVOXD3PL7XC2PBFU/action/replication_record"}},"created_at":"2026-05-18T00:10:36.669082+00:00","updated_at":"2026-05-18T00:10:36.669082+00:00"}