{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:HKI574OPLZX2I4LJGDXY64DBN2","short_pith_number":"pith:HKI574OP","schema_version":"1.0","canonical_sha256":"3a91dff1cf5e6fa4716930ef8f70616eaad34a4f3f75a9396e3edfd4020ef08e","source":{"kind":"arxiv","id":"2009.10759","version":1},"attestation_state":"computed","paper":{"title":"Chaos exponents of SYK traversable wormholes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","nlin.CD","quant-ph"],"primary_cat":"hep-th","authors_text":"Tokiro Numasawa, Tomoki Nosaka","submitted_at":"2020-09-22T18:41:34Z","abstract_excerpt":"In this paper we study the chaos exponent, the exponential growth rate of the out-of-time-ordered four point functions, in a two coupled SYK models which exhibits a first order phase transition between the high temperature black hole phase and the low temperature gapped phase interpreted as a traversable wormhole. We see that as the temperature decreases the chaos exponent exhibits a discontinuous fall-off from the value of order the universal bound $2\\pi/\\beta$ at the critical temperature of the phase transition, which is consistent with the expected relation between black holes and strong ch"},"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":"2009.10759","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-09-22T18:41:34Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","nlin.CD","quant-ph"],"title_canon_sha256":"55c65c0ab2e834776d60d654311a34f261ae256269ec754b023e26786e2f4e5e","abstract_canon_sha256":"29e3a90f962ce9a28d0273afa45f162da7bc3bee776315ce3460f153a9f9753a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:23:13.502998Z","signature_b64":"Caary5Inbho1M4E8wnoxHJRJtMubBqKHHSRux61+VLraAzsN5+r3nUAEe2H56cnj4eM7TmCTAiqIZEVy+07gDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a91dff1cf5e6fa4716930ef8f70616eaad34a4f3f75a9396e3edfd4020ef08e","last_reissued_at":"2026-07-05T02:23:13.502567Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:23:13.502567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Chaos exponents of SYK traversable wormholes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","nlin.CD","quant-ph"],"primary_cat":"hep-th","authors_text":"Tokiro Numasawa, Tomoki Nosaka","submitted_at":"2020-09-22T18:41:34Z","abstract_excerpt":"In this paper we study the chaos exponent, the exponential growth rate of the out-of-time-ordered four point functions, in a two coupled SYK models which exhibits a first order phase transition between the high temperature black hole phase and the low temperature gapped phase interpreted as a traversable wormhole. We see that as the temperature decreases the chaos exponent exhibits a discontinuous fall-off from the value of order the universal bound $2\\pi/\\beta$ at the critical temperature of the phase transition, which is consistent with the expected relation between black holes and strong ch"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.10759","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/2009.10759/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":"2009.10759","created_at":"2026-07-05T02:23:13.502626+00:00"},{"alias_kind":"arxiv_version","alias_value":"2009.10759v1","created_at":"2026-07-05T02:23:13.502626+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.10759","created_at":"2026-07-05T02:23:13.502626+00:00"},{"alias_kind":"pith_short_12","alias_value":"HKI574OPLZX2","created_at":"2026-07-05T02:23:13.502626+00:00"},{"alias_kind":"pith_short_16","alias_value":"HKI574OPLZX2I4LJ","created_at":"2026-07-05T02:23:13.502626+00:00"},{"alias_kind":"pith_short_8","alias_value":"HKI574OP","created_at":"2026-07-05T02:23:13.502626+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.04660","citing_title":"Hot wormholes and chaos dynamics in a two-coupled SYK model","ref_index":16,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HKI574OPLZX2I4LJGDXY64DBN2","json":"https://pith.science/pith/HKI574OPLZX2I4LJGDXY64DBN2.json","graph_json":"https://pith.science/api/pith-number/HKI574OPLZX2I4LJGDXY64DBN2/graph.json","events_json":"https://pith.science/api/pith-number/HKI574OPLZX2I4LJGDXY64DBN2/events.json","paper":"https://pith.science/paper/HKI574OP"},"agent_actions":{"view_html":"https://pith.science/pith/HKI574OPLZX2I4LJGDXY64DBN2","download_json":"https://pith.science/pith/HKI574OPLZX2I4LJGDXY64DBN2.json","view_paper":"https://pith.science/paper/HKI574OP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2009.10759&json=true","fetch_graph":"https://pith.science/api/pith-number/HKI574OPLZX2I4LJGDXY64DBN2/graph.json","fetch_events":"https://pith.science/api/pith-number/HKI574OPLZX2I4LJGDXY64DBN2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HKI574OPLZX2I4LJGDXY64DBN2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HKI574OPLZX2I4LJGDXY64DBN2/action/storage_attestation","attest_author":"https://pith.science/pith/HKI574OPLZX2I4LJGDXY64DBN2/action/author_attestation","sign_citation":"https://pith.science/pith/HKI574OPLZX2I4LJGDXY64DBN2/action/citation_signature","submit_replication":"https://pith.science/pith/HKI574OPLZX2I4LJGDXY64DBN2/action/replication_record"}},"created_at":"2026-07-05T02:23:13.502626+00:00","updated_at":"2026-07-05T02:23:13.502626+00:00"}