{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:4J4MJVF2HIYG33ATU7TH4QMMEZ","short_pith_number":"pith:4J4MJVF2","canonical_record":{"source":{"id":"1801.00010","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-29T19:00:04Z","cross_cats_sorted":["cond-mat.str-el","nlin.CD","nucl-th","quant-ph"],"title_canon_sha256":"b1544b0a89a6c6182061f13999b303871e7ba14d8cb36b3fd6451db161d6d19f","abstract_canon_sha256":"b907742b60c334f4866a8decaa2fee4b3df6afd71fd6e098a3122d5fcc466b18"},"schema_version":"1.0"},"canonical_sha256":"e278c4d4ba3a306dec13a7e67e418c2657056e90f6b6df6d8a4d3205a529671e","source":{"kind":"arxiv","id":"1801.00010","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00010","created_at":"2026-05-18T00:00:59Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00010v3","created_at":"2026-05-18T00:00:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00010","created_at":"2026-05-18T00:00:59Z"},{"alias_kind":"pith_short_12","alias_value":"4J4MJVF2HIYG","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4J4MJVF2HIYG33AT","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4J4MJVF2","created_at":"2026-05-18T12:31:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:4J4MJVF2HIYG33ATU7TH4QMMEZ","target":"record","payload":{"canonical_record":{"source":{"id":"1801.00010","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-29T19:00:04Z","cross_cats_sorted":["cond-mat.str-el","nlin.CD","nucl-th","quant-ph"],"title_canon_sha256":"b1544b0a89a6c6182061f13999b303871e7ba14d8cb36b3fd6451db161d6d19f","abstract_canon_sha256":"b907742b60c334f4866a8decaa2fee4b3df6afd71fd6e098a3122d5fcc466b18"},"schema_version":"1.0"},"canonical_sha256":"e278c4d4ba3a306dec13a7e67e418c2657056e90f6b6df6d8a4d3205a529671e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:59.475744Z","signature_b64":"yMcoxkTLs24UJvHoNvNTUnqRiMUhbDmQY/5PBGlL0I1NLJlVHuF8Y7edyUMyEemJiVZgi7+ngXSfnPIE1jUMAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e278c4d4ba3a306dec13a7e67e418c2657056e90f6b6df6d8a4d3205a529671e","last_reissued_at":"2026-05-18T00:00:59.475365Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:59.475365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.00010","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:00:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"URBIb7NOuehPKsxDNQi7qoypLkJvbsYnNmdqIi7QcGt3tt/mbUIQDVTa/qeMZlkQXQoL204KBJfVFIGMHJY8Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:08:15.653798Z"},"content_sha256":"bde67f0a8d31b858ccba23888118c28ca815df379c7f8025055d858d557736ca","schema_version":"1.0","event_id":"sha256:bde67f0a8d31b858ccba23888118c28ca815df379c7f8025055d858d557736ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:4J4MJVF2HIYG33ATU7TH4QMMEZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A quantum hydrodynamical description for scrambling and many-body chaos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","nlin.CD","nucl-th","quant-ph"],"primary_cat":"hep-th","authors_text":"Hong Liu, Hyunseok Lee, Mike Blake","submitted_at":"2017-12-29T19:00:04Z","abstract_excerpt":"Recent studies of out-of-time ordered thermal correlation functions (OTOC) in holographic systems and in solvable models such as the Sachdev-Ye-Kitaev (SYK) model have yielded new insights into manifestations of many-body chaos. So far the chaotic behavior has been obtained through explicit calculations in specific models. In this paper we propose a unified description of the exponential growth and ballistic butterfly spreading of OTOCs across different systems using a newly formulated \"quantum hydrodynamics,\" which is valid at finite $\\hbar$ and to all orders in derivatives. The scrambling of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00010","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:00:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7XxDnAJPC9U+QCdV332oX5x+WyNySndx26Cb8I2tX6JuFflVAIRkpdt9DTPr9qRJv9A0ZBa3tmrZ5otk0UblCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:08:15.654137Z"},"content_sha256":"6e3f87430a1da91da10aebf3ca6db53724ed7bf981a89c02dc41ab27cf3c2577","schema_version":"1.0","event_id":"sha256:6e3f87430a1da91da10aebf3ca6db53724ed7bf981a89c02dc41ab27cf3c2577"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4J4MJVF2HIYG33ATU7TH4QMMEZ/bundle.json","state_url":"https://pith.science/pith/4J4MJVF2HIYG33ATU7TH4QMMEZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4J4MJVF2HIYG33ATU7TH4QMMEZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T08:08:15Z","links":{"resolver":"https://pith.science/pith/4J4MJVF2HIYG33ATU7TH4QMMEZ","bundle":"https://pith.science/pith/4J4MJVF2HIYG33ATU7TH4QMMEZ/bundle.json","state":"https://pith.science/pith/4J4MJVF2HIYG33ATU7TH4QMMEZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4J4MJVF2HIYG33ATU7TH4QMMEZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4J4MJVF2HIYG33ATU7TH4QMMEZ","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":"b907742b60c334f4866a8decaa2fee4b3df6afd71fd6e098a3122d5fcc466b18","cross_cats_sorted":["cond-mat.str-el","nlin.CD","nucl-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-29T19:00:04Z","title_canon_sha256":"b1544b0a89a6c6182061f13999b303871e7ba14d8cb36b3fd6451db161d6d19f"},"schema_version":"1.0","source":{"id":"1801.00010","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00010","created_at":"2026-05-18T00:00:59Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00010v3","created_at":"2026-05-18T00:00:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00010","created_at":"2026-05-18T00:00:59Z"},{"alias_kind":"pith_short_12","alias_value":"4J4MJVF2HIYG","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4J4MJVF2HIYG33AT","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4J4MJVF2","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:6e3f87430a1da91da10aebf3ca6db53724ed7bf981a89c02dc41ab27cf3c2577","target":"graph","created_at":"2026-05-18T00:00:59Z","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":"Recent studies of out-of-time ordered thermal correlation functions (OTOC) in holographic systems and in solvable models such as the Sachdev-Ye-Kitaev (SYK) model have yielded new insights into manifestations of many-body chaos. So far the chaotic behavior has been obtained through explicit calculations in specific models. In this paper we propose a unified description of the exponential growth and ballistic butterfly spreading of OTOCs across different systems using a newly formulated \"quantum hydrodynamics,\" which is valid at finite $\\hbar$ and to all orders in derivatives. The scrambling of","authors_text":"Hong Liu, Hyunseok Lee, Mike Blake","cross_cats":["cond-mat.str-el","nlin.CD","nucl-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-29T19:00:04Z","title":"A quantum hydrodynamical description for scrambling and many-body chaos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00010","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:bde67f0a8d31b858ccba23888118c28ca815df379c7f8025055d858d557736ca","target":"record","created_at":"2026-05-18T00:00:59Z","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":"b907742b60c334f4866a8decaa2fee4b3df6afd71fd6e098a3122d5fcc466b18","cross_cats_sorted":["cond-mat.str-el","nlin.CD","nucl-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-29T19:00:04Z","title_canon_sha256":"b1544b0a89a6c6182061f13999b303871e7ba14d8cb36b3fd6451db161d6d19f"},"schema_version":"1.0","source":{"id":"1801.00010","kind":"arxiv","version":3}},"canonical_sha256":"e278c4d4ba3a306dec13a7e67e418c2657056e90f6b6df6d8a4d3205a529671e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e278c4d4ba3a306dec13a7e67e418c2657056e90f6b6df6d8a4d3205a529671e","first_computed_at":"2026-05-18T00:00:59.475365Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:59.475365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yMcoxkTLs24UJvHoNvNTUnqRiMUhbDmQY/5PBGlL0I1NLJlVHuF8Y7edyUMyEemJiVZgi7+ngXSfnPIE1jUMAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:59.475744Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.00010","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bde67f0a8d31b858ccba23888118c28ca815df379c7f8025055d858d557736ca","sha256:6e3f87430a1da91da10aebf3ca6db53724ed7bf981a89c02dc41ab27cf3c2577"],"state_sha256":"518fb6ebd52e9322665778220e0f682030ff33bd00fb17b25505ced238d4cb2b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pt7j9O969gNymG94hZKEfFViF8QMQiAmNe+NIlQLTyK1B1A4NRQl1tf0jZBSjoPdC+AGYOja1Ie91YvH65bNCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T08:08:15.656102Z","bundle_sha256":"27ab177382b18e9b7b2136b77b71ef818c57160d57c83e6d337046a2b4657620"}}