{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:DHHTEU72TTZDEJ7ZEWT3KFCBDB","short_pith_number":"pith:DHHTEU72","schema_version":"1.0","canonical_sha256":"19cf3253fa9cf23227f925a7b5144118591f2045b102650ece588a68be42d1cf","source":{"kind":"arxiv","id":"2109.14104","version":3},"attestation_state":"computed","paper":{"title":"Entanglement and Chaos in De Sitter Holography: An SYK Example","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"Leonard Susskind","submitted_at":"2021-09-28T23:48:37Z","abstract_excerpt":"Entanglement, chaos, and complexity are as important for de Sitter space as for AdS and for black holes. There are similarities and great differences between AdS and dS in how these concepts are manifested in the space-time geometry. In the first part of this paper the Ryu-Takayanagi prescription, the theory of fast scrambling, and the holographic complexity correspondence are reformulated for de Sitter space. Criteria are proposed for a holographic model to describe de Sitter space. The criteria can be summarized by the requirement that scrambling and complexity growth must be \"hyperfast.\" In"},"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":"2109.14104","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-09-28T23:48:37Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"9c06deeadec3fad01a5cecef8995bd5d81935287dbf1558e0bcef4e627fab4e8","abstract_canon_sha256":"b4d80b5581f0c81800f9d2c492ab8e487e4c03a1df2c1f5a1355e1bc4e2a31d7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:27:04.940395Z","signature_b64":"C4wo9jMLgxqkgsNFcbXfY4uD7K+fFeUn71C2Kn2cZlC50L56dGvsBPEgFjfpuAxlNvGlCTSP3YS+ZYFUsBJTCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19cf3253fa9cf23227f925a7b5144118591f2045b102650ece588a68be42d1cf","last_reissued_at":"2026-07-05T03:27:04.939985Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:27:04.939985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement and Chaos in De Sitter Holography: An SYK Example","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"Leonard Susskind","submitted_at":"2021-09-28T23:48:37Z","abstract_excerpt":"Entanglement, chaos, and complexity are as important for de Sitter space as for AdS and for black holes. There are similarities and great differences between AdS and dS in how these concepts are manifested in the space-time geometry. In the first part of this paper the Ryu-Takayanagi prescription, the theory of fast scrambling, and the holographic complexity correspondence are reformulated for de Sitter space. Criteria are proposed for a holographic model to describe de Sitter space. The criteria can be summarized by the requirement that scrambling and complexity growth must be \"hyperfast.\" In"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.14104","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2109.14104/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":"2109.14104","created_at":"2026-07-05T03:27:04.940029+00:00"},{"alias_kind":"arxiv_version","alias_value":"2109.14104v3","created_at":"2026-07-05T03:27:04.940029+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.14104","created_at":"2026-07-05T03:27:04.940029+00:00"},{"alias_kind":"pith_short_12","alias_value":"DHHTEU72TTZD","created_at":"2026-07-05T03:27:04.940029+00:00"},{"alias_kind":"pith_short_16","alias_value":"DHHTEU72TTZDEJ7Z","created_at":"2026-07-05T03:27:04.940029+00:00"},{"alias_kind":"pith_short_8","alias_value":"DHHTEU72","created_at":"2026-07-05T03:27:04.940029+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":15,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.26241","citing_title":"An observer's quantization of 3d de Sitter","ref_index":47,"is_internal_anchor":false},{"citing_arxiv_id":"2606.03049","citing_title":"Holographic complexity of de-Sitter black holes","ref_index":9,"is_internal_anchor":false},{"citing_arxiv_id":"2606.31705","citing_title":"Monitoring a de Sitter universe through an anti-de Sitter window","ref_index":13,"is_internal_anchor":false},{"citing_arxiv_id":"2605.13956","citing_title":"q-Askey Deformations of Double-Scaled SYK","ref_index":16,"is_internal_anchor":false},{"citing_arxiv_id":"2506.02109","citing_title":"Towards a microscopic description of de Sitter dynamics","ref_index":30,"is_internal_anchor":false},{"citing_arxiv_id":"2511.03779","citing_title":"Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity","ref_index":22,"is_internal_anchor":false},{"citing_arxiv_id":"2512.00704","citing_title":"No boundary density matrix in elliptic de Sitter dS/$\\mathbb{Z}_2$","ref_index":15,"is_internal_anchor":false},{"citing_arxiv_id":"2512.10101","citing_title":"The von Neumann algebraic quantum group $\\mathrm{SU}_q(1,1)\\rtimes \\mathbb{Z}_2$ and the DSSYK model","ref_index":29,"is_internal_anchor":false},{"citing_arxiv_id":"2601.09801","citing_title":"Probing the Chaos to Integrability Transition in Double-Scaled SYK","ref_index":58,"is_internal_anchor":false},{"citing_arxiv_id":"2602.06113","citing_title":"Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography","ref_index":1,"is_internal_anchor":false},{"citing_arxiv_id":"2605.13956","citing_title":"q-Askey Deformations of Double-Scaled SYK","ref_index":16,"is_internal_anchor":false},{"citing_arxiv_id":"2603.29443","citing_title":"Cosmological brick walls & quantum chaotic dynamics of de Sitter horizons","ref_index":48,"is_internal_anchor":false},{"citing_arxiv_id":"2604.25035","citing_title":"The Thermodynamics of Cosmological Horizons and Their Holographic Description in de Sitter Space","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2604.21408","citing_title":"Holographic complexity of conformal fields in global de Sitter spacetime","ref_index":40,"is_internal_anchor":false},{"citing_arxiv_id":"2604.10267","citing_title":"The yes boundaries wavefunctions of the universe","ref_index":13,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DHHTEU72TTZDEJ7ZEWT3KFCBDB","json":"https://pith.science/pith/DHHTEU72TTZDEJ7ZEWT3KFCBDB.json","graph_json":"https://pith.science/api/pith-number/DHHTEU72TTZDEJ7ZEWT3KFCBDB/graph.json","events_json":"https://pith.science/api/pith-number/DHHTEU72TTZDEJ7ZEWT3KFCBDB/events.json","paper":"https://pith.science/paper/DHHTEU72"},"agent_actions":{"view_html":"https://pith.science/pith/DHHTEU72TTZDEJ7ZEWT3KFCBDB","download_json":"https://pith.science/pith/DHHTEU72TTZDEJ7ZEWT3KFCBDB.json","view_paper":"https://pith.science/paper/DHHTEU72","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2109.14104&json=true","fetch_graph":"https://pith.science/api/pith-number/DHHTEU72TTZDEJ7ZEWT3KFCBDB/graph.json","fetch_events":"https://pith.science/api/pith-number/DHHTEU72TTZDEJ7ZEWT3KFCBDB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DHHTEU72TTZDEJ7ZEWT3KFCBDB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DHHTEU72TTZDEJ7ZEWT3KFCBDB/action/storage_attestation","attest_author":"https://pith.science/pith/DHHTEU72TTZDEJ7ZEWT3KFCBDB/action/author_attestation","sign_citation":"https://pith.science/pith/DHHTEU72TTZDEJ7ZEWT3KFCBDB/action/citation_signature","submit_replication":"https://pith.science/pith/DHHTEU72TTZDEJ7ZEWT3KFCBDB/action/replication_record"}},"created_at":"2026-07-05T03:27:04.940029+00:00","updated_at":"2026-07-05T03:27:04.940029+00:00"}