{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HOPS5DKVIK4RBWG2Z5PGJEMR7M","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":"105e183fd6990d82b251d43d464f44f96e43dd96c799b95e5ab47ef7316b67b4","cross_cats_sorted":["physics.ao-ph","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-04-09T22:04:45Z","title_canon_sha256":"4f3094edc65d9cccfe3e5c77bd1cf53818ea60cf1ea7d06d5af286e711a45ecc"},"schema_version":"1.0","source":{"id":"1204.1999","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1999","created_at":"2026-05-18T02:43:52Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1999v1","created_at":"2026-05-18T02:43:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1999","created_at":"2026-05-18T02:43:52Z"},{"alias_kind":"pith_short_12","alias_value":"HOPS5DKVIK4R","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HOPS5DKVIK4RBWG2","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HOPS5DKV","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:924eb71c811341cd3fc0ab26107a6efd1c484522e6a088acf2e046692a43f42c","target":"graph","created_at":"2026-05-18T02:43:52Z","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":"We study the effect of regime switches on finite size Lyapunov exponents (FSLEs) in determining the error growth rates and predictability of multiscale systems. We consider a dynamical system involving slow and fast regimes and switches between them. The surprising result is that due to the presence of regimes the error growth rate can be a non-monotonic function of initial error amplitude. In particular, troughs in the large scales of FSLE spectra is shown to be a signature of slow regimes, whereas fast regimes are shown to cause large peaks in the spectra where error growth rates far exceed ","authors_text":"Georg A. Gottwald, Lewis Mitchell","cross_cats":["physics.ao-ph","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-04-09T22:04:45Z","title":"On finite-size Lyapunov exponents in multiscale systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1999","kind":"arxiv","version":1},"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:d0bc32163707e0ab79be16c44c3431cd938aa98fcc96deb2a4537d1598aac78e","target":"record","created_at":"2026-05-18T02:43:52Z","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":"105e183fd6990d82b251d43d464f44f96e43dd96c799b95e5ab47ef7316b67b4","cross_cats_sorted":["physics.ao-ph","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-04-09T22:04:45Z","title_canon_sha256":"4f3094edc65d9cccfe3e5c77bd1cf53818ea60cf1ea7d06d5af286e711a45ecc"},"schema_version":"1.0","source":{"id":"1204.1999","kind":"arxiv","version":1}},"canonical_sha256":"3b9f2e8d5542b910d8dacf5e649191fb084aa9cd266afdc48286107f1c0c471b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b9f2e8d5542b910d8dacf5e649191fb084aa9cd266afdc48286107f1c0c471b","first_computed_at":"2026-05-18T02:43:52.541862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:52.541862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"owej/ArMrygv/5zNulfWpRF/BcA+fTM4IDsyZoH/YNWV9PV5GKex5jw0rvgMzILuVpi7FEaFijZzPgkjsSfTBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:52.542298Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1999","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0bc32163707e0ab79be16c44c3431cd938aa98fcc96deb2a4537d1598aac78e","sha256:924eb71c811341cd3fc0ab26107a6efd1c484522e6a088acf2e046692a43f42c"],"state_sha256":"215bdf7cfe0020e5fe7e164bc04183c55d175425546f064119f432537d614030"}