{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:4WBMVYBZBUPZAUZ4WHORK63O3Q","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":"eea2efd4625045b13f4e504ef8c2b5c31cd0eb9128f51fca690679a515b21d5b","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-08-04T15:45:03Z","title_canon_sha256":"32865dc1dcfe1f7638dd2afa04dced363c60efb2e2e75e1c99a57e6fc776f89b"},"schema_version":"1.0","source":{"id":"2308.02392","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.02392","created_at":"2026-07-05T07:18:28Z"},{"alias_kind":"arxiv_version","alias_value":"2308.02392v3","created_at":"2026-07-05T07:18:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.02392","created_at":"2026-07-05T07:18:28Z"},{"alias_kind":"pith_short_12","alias_value":"4WBMVYBZBUPZ","created_at":"2026-07-05T07:18:28Z"},{"alias_kind":"pith_short_16","alias_value":"4WBMVYBZBUPZAUZ4","created_at":"2026-07-05T07:18:28Z"},{"alias_kind":"pith_short_8","alias_value":"4WBMVYBZ","created_at":"2026-07-05T07:18:28Z"}],"graph_snapshots":[{"event_id":"sha256:732a76d04bf64cb8582e2b14658c516355f83c3b831cb408fc89dd0ce3ab7b91","target":"graph","created_at":"2026-07-05T07:18:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2308.02392/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We suggest a new indicator of quantum chaos based on the logarithmic out-of-time-order correlator. On the one hand, this indicator correctly reproduces the average classical Lyapunov exponent in the semiclassical limit and directly links the definitions of quantum chaos and classical K-system. On the other hand, it can be analytically calculated using the replica trick and the Schwinger-Keldysh diagram technique on a $2n$-fold Keldysh contour. To illustrate this approach, we consider several one-dimensional systems, including the quantum cat map, and three paradigmatic large-$N$ models, includ","authors_text":"Dmitrii A. Trunin","cross_cats":["cond-mat.stat-mech","nlin.CD","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-08-04T15:45:03Z","title":"Refined quantum Lyapunov exponents from replica out-of-time-order correlators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.02392","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":"sha256:37b8f201e63c8b83a1312b233535525ead4f45fd25583f8a05532b628b6bc665","target":"record","created_at":"2026-07-05T07:18:28Z","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":"eea2efd4625045b13f4e504ef8c2b5c31cd0eb9128f51fca690679a515b21d5b","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-08-04T15:45:03Z","title_canon_sha256":"32865dc1dcfe1f7638dd2afa04dced363c60efb2e2e75e1c99a57e6fc776f89b"},"schema_version":"1.0","source":{"id":"2308.02392","kind":"arxiv","version":3}},"canonical_sha256":"e582cae0390d1f90533cb1dd157b6edc157bf54623093ef2434b2e6f7f394d4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e582cae0390d1f90533cb1dd157b6edc157bf54623093ef2434b2e6f7f394d4f","first_computed_at":"2026-07-05T07:18:28.729779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:18:28.729779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lF8/hxZuhBIx6brJa7FInTEaWbUMNG5js2rWMb92/s1ZuXfsGZgsRaWAVaNo/xX9lnMagLg6vhMd8HrPeu/gBw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:18:28.730268Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.02392","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37b8f201e63c8b83a1312b233535525ead4f45fd25583f8a05532b628b6bc665","sha256:732a76d04bf64cb8582e2b14658c516355f83c3b831cb408fc89dd0ce3ab7b91"],"state_sha256":"baea127fce880c30f57ec3ce3c2d7ba1e7f39a77075e65612124bc30a069be73"}