{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:S5K7RGLXGOBEEUDTSXJJHP5WFA","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":"34facde95330b9a43cab84409d9c01cb7e8410e03a289d96cf0d6a2f9882fb3b","cross_cats_sorted":["nlin.CD","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-02-25T21:07:55Z","title_canon_sha256":"325ca4d09fd2c76b9ce0d78bfa13e26aee0502c4bd1d63c4eb99490cb71dd060"},"schema_version":"1.0","source":{"id":"1302.6254","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.6254","created_at":"2026-05-18T03:21:45Z"},{"alias_kind":"arxiv_version","alias_value":"1302.6254v2","created_at":"2026-05-18T03:21:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6254","created_at":"2026-05-18T03:21:45Z"},{"alias_kind":"pith_short_12","alias_value":"S5K7RGLXGOBE","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"S5K7RGLXGOBEEUDT","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"S5K7RGLX","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:66c7cb27c18db94ea73d0f4eea0d97cfddb10081da774dd23218c575af2a98c8","target":"graph","created_at":"2026-05-18T03:21:45Z","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":"Generic dynamical systems have `typical' Lyapunov exponents, measuring the sensitivity to small perturbations of almost all trajectories. A generic system has also trajectories with exceptional values of the exponents, corresponding to unusually stable or chaotic situations. From a more mathematical point of view, large deviations of Lyapunov exponents characterize phase-space topological structures such as separatrices, homoclinic trajectories and degenerate tori. Numerically sampling such large deviations using the Lyapunov Weighted\n  Dynamics allows one to pinpoint, for example, stable conf","authors_text":"Jorge Kurchan, Julien Tailleur, Khanh-Dang Nguyen Thu Lam, Tanguy Laffargue","cross_cats":["nlin.CD","nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-02-25T21:07:55Z","title":"Large deviations of Lyapunov exponents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6254","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":"sha256:1bdc2e0f33f39f1d216f31abd97000dc24b44c367cd168d93610690356d5aa9f","target":"record","created_at":"2026-05-18T03:21:45Z","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":"34facde95330b9a43cab84409d9c01cb7e8410e03a289d96cf0d6a2f9882fb3b","cross_cats_sorted":["nlin.CD","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-02-25T21:07:55Z","title_canon_sha256":"325ca4d09fd2c76b9ce0d78bfa13e26aee0502c4bd1d63c4eb99490cb71dd060"},"schema_version":"1.0","source":{"id":"1302.6254","kind":"arxiv","version":2}},"canonical_sha256":"9755f89977338242507395d293bfb62821cabf1cf830099471d1e63a1d2ddeb3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9755f89977338242507395d293bfb62821cabf1cf830099471d1e63a1d2ddeb3","first_computed_at":"2026-05-18T03:21:45.241575Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:45.241575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UnXKpyMhIvFSVj1bTDUU6EeWvyOgiqby7A1W4NQ+taw5qumU4xS3Jw09taBow7u8rnbTCniUhg2kcJBcAa+kDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:45.242418Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.6254","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bdc2e0f33f39f1d216f31abd97000dc24b44c367cd168d93610690356d5aa9f","sha256:66c7cb27c18db94ea73d0f4eea0d97cfddb10081da774dd23218c575af2a98c8"],"state_sha256":"c4b361bdb1bda6fed5a9d8be41e16ec4a87477a6aa9bea1f6913ae518193563c"}