{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:VVSZ4Q5ICWYKIXXYFITSL4QJWV","short_pith_number":"pith:VVSZ4Q5I","canonical_record":{"source":{"id":"1510.08870","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-29T20:09:34Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"29a57976700b3613e9c75d0c42b95a386283d6095265ed0e9605a31639722e15","abstract_canon_sha256":"cdbe6fee6f2d3266737ea759e667bd800425a7368eb8d954b1287efceb565821"},"schema_version":"1.0"},"canonical_sha256":"ad659e43a815b0a45ef82a2725f209b571aa62d395b1075efd65d90df8fd98a9","source":{"kind":"arxiv","id":"1510.08870","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.08870","created_at":"2026-05-18T01:11:32Z"},{"alias_kind":"arxiv_version","alias_value":"1510.08870v2","created_at":"2026-05-18T01:11:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08870","created_at":"2026-05-18T01:11:32Z"},{"alias_kind":"pith_short_12","alias_value":"VVSZ4Q5ICWYK","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VVSZ4Q5ICWYKIXXY","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VVSZ4Q5I","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:VVSZ4Q5ICWYKIXXYFITSL4QJWV","target":"record","payload":{"canonical_record":{"source":{"id":"1510.08870","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-29T20:09:34Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"29a57976700b3613e9c75d0c42b95a386283d6095265ed0e9605a31639722e15","abstract_canon_sha256":"cdbe6fee6f2d3266737ea759e667bd800425a7368eb8d954b1287efceb565821"},"schema_version":"1.0"},"canonical_sha256":"ad659e43a815b0a45ef82a2725f209b571aa62d395b1075efd65d90df8fd98a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:32.104975Z","signature_b64":"VbXkbUwEWd9uPHO3ctS9P4sXAOxtO19LahoglT7wRp+itHA1xjGsvIkXpRsctYDiRFMUijq3cZ+/+D/uskHuCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad659e43a815b0a45ef82a2725f209b571aa62d395b1075efd65d90df8fd98a9","last_reissued_at":"2026-05-18T01:11:32.104625Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:32.104625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.08870","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SSa2QWoPkfwDw6KLUunxkZlXEOFINrcguiS9dIxbnFhayHjqv1WYpLZbwWRd67KLpEHK1JSjkTUHN2WXfuheCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:56:05.365455Z"},"content_sha256":"000fe6613bb2db9da14b22ecf15a631eeef9c37135bf2d5850c052d7b5542f27","schema_version":"1.0","event_id":"sha256:000fe6613bb2db9da14b22ecf15a631eeef9c37135bf2d5850c052d7b5542f27"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:VVSZ4Q5ICWYKIXXYFITSL4QJWV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal quantum constraints on the butterfly effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"Antonio M. Garc\\'ia-Garc\\'ia, David Berenstein","submitted_at":"2015-10-29T20:09:34Z","abstract_excerpt":"Lyapunov exponents, a purely classical quantity, play an important role in the evolution of quantum chaotic systems in the semiclassical limit. We conjecture the existence of an upper bound on the Lyapunov exponents that contribute to the quantum motion, namely, even in the semiclassical limit only a limited range of Lyapunov exponents, bounded from above, are important for the quantum evolution. This is a universal feature in any quantum system or quantum field theory, including those with a gravity dual. It has its origin in the finite size of the Hilbert space that is available to an initia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08870","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rXp/NUjT7zr+L12uIktrcpmCLIdLbKrHmbCAOGDA4ZvPQ1SrLJn2BGOQfhcgM81pL2LGIT/ycP1ae/IvwSRkCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:56:05.365840Z"},"content_sha256":"3927f2796ea12036379a20f52837145adf056f55b0374884fc5fae184d9567f0","schema_version":"1.0","event_id":"sha256:3927f2796ea12036379a20f52837145adf056f55b0374884fc5fae184d9567f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VVSZ4Q5ICWYKIXXYFITSL4QJWV/bundle.json","state_url":"https://pith.science/pith/VVSZ4Q5ICWYKIXXYFITSL4QJWV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VVSZ4Q5ICWYKIXXYFITSL4QJWV/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":"2026-05-28T12:56:05Z","links":{"resolver":"https://pith.science/pith/VVSZ4Q5ICWYKIXXYFITSL4QJWV","bundle":"https://pith.science/pith/VVSZ4Q5ICWYKIXXYFITSL4QJWV/bundle.json","state":"https://pith.science/pith/VVSZ4Q5ICWYKIXXYFITSL4QJWV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VVSZ4Q5ICWYKIXXYFITSL4QJWV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VVSZ4Q5ICWYKIXXYFITSL4QJWV","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":"cdbe6fee6f2d3266737ea759e667bd800425a7368eb8d954b1287efceb565821","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-29T20:09:34Z","title_canon_sha256":"29a57976700b3613e9c75d0c42b95a386283d6095265ed0e9605a31639722e15"},"schema_version":"1.0","source":{"id":"1510.08870","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.08870","created_at":"2026-05-18T01:11:32Z"},{"alias_kind":"arxiv_version","alias_value":"1510.08870v2","created_at":"2026-05-18T01:11:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08870","created_at":"2026-05-18T01:11:32Z"},{"alias_kind":"pith_short_12","alias_value":"VVSZ4Q5ICWYK","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VVSZ4Q5ICWYKIXXY","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VVSZ4Q5I","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:3927f2796ea12036379a20f52837145adf056f55b0374884fc5fae184d9567f0","target":"graph","created_at":"2026-05-18T01:11:32Z","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":"Lyapunov exponents, a purely classical quantity, play an important role in the evolution of quantum chaotic systems in the semiclassical limit. We conjecture the existence of an upper bound on the Lyapunov exponents that contribute to the quantum motion, namely, even in the semiclassical limit only a limited range of Lyapunov exponents, bounded from above, are important for the quantum evolution. This is a universal feature in any quantum system or quantum field theory, including those with a gravity dual. It has its origin in the finite size of the Hilbert space that is available to an initia","authors_text":"Antonio M. Garc\\'ia-Garc\\'ia, David Berenstein","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-29T20:09:34Z","title":"Universal quantum constraints on the butterfly effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08870","kind":"arxiv","version":2},"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":"sha256:000fe6613bb2db9da14b22ecf15a631eeef9c37135bf2d5850c052d7b5542f27","target":"record","created_at":"2026-05-18T01:11:32Z","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":"cdbe6fee6f2d3266737ea759e667bd800425a7368eb8d954b1287efceb565821","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-29T20:09:34Z","title_canon_sha256":"29a57976700b3613e9c75d0c42b95a386283d6095265ed0e9605a31639722e15"},"schema_version":"1.0","source":{"id":"1510.08870","kind":"arxiv","version":2}},"canonical_sha256":"ad659e43a815b0a45ef82a2725f209b571aa62d395b1075efd65d90df8fd98a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad659e43a815b0a45ef82a2725f209b571aa62d395b1075efd65d90df8fd98a9","first_computed_at":"2026-05-18T01:11:32.104625Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:32.104625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VbXkbUwEWd9uPHO3ctS9P4sXAOxtO19LahoglT7wRp+itHA1xjGsvIkXpRsctYDiRFMUijq3cZ+/+D/uskHuCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:32.104975Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.08870","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:000fe6613bb2db9da14b22ecf15a631eeef9c37135bf2d5850c052d7b5542f27","sha256:3927f2796ea12036379a20f52837145adf056f55b0374884fc5fae184d9567f0"],"state_sha256":"e3118590c72f21171dfd766c03610919dde6425ea3de194c400ddae026e0fd37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GihCJY67jtJJrEDk6IeW/Q6k9dBdlDYs2NuRt7lfId149Fdqng1rt+uzYMZSQOom3jAei9pjO7Vm8GfPSC1JAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:56:05.367856Z","bundle_sha256":"99f1e716627c6393914992766eee4ab8338bae29064c1e9fbcb3fd6aa7bd7bd8"}}