{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UOLDKMCFI3P557SHI3XGUUGANQ","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":"8f4b6f5f9e9a8324eb8f71970580d55be929dd5a3d23923801805a13840596a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-05-26T08:23:44Z","title_canon_sha256":"66aba0ac720391b2b042699cd872d2f72f94ca9a7fb08a6ad90d2711087c6771"},"schema_version":"1.0","source":{"id":"1105.5228","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.5228","created_at":"2026-05-18T03:59:13Z"},{"alias_kind":"arxiv_version","alias_value":"1105.5228v3","created_at":"2026-05-18T03:59:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5228","created_at":"2026-05-18T03:59:13Z"},{"alias_kind":"pith_short_12","alias_value":"UOLDKMCFI3P5","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UOLDKMCFI3P557SH","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UOLDKMCF","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:766e2601a5c7f20c2eb8c1c00cc6fa99d88afc66695ce11b646168209cb332de","target":"graph","created_at":"2026-05-18T03:59:13Z","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 are well-known characteristic numbers that describe growth rates of perturbations applied to a trajectory of a dynamical system in different state space directions. Covariant (or characteristic) Lyapunov vectors indicate these directions. Though the concept of these vectors has been known for a long time, they became practically computable only recently due to algorithms suggested by Ginelli et al. [Phys. Rev. Lett. 99, 2007, 130601] and by Wolfe and Samelson [Tellus 59A, 2007, 355]. In view of the great interest in covariant Lyapunov vectors and their wide range of potentia","authors_text":"Pavel V. Kuptsov, Ulrich Parlitz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-05-26T08:23:44Z","title":"Theory and computation of covariant Lyapunov vectors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5228","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:bd3520a3e78e4771b69adfa48fbbf29f5428d79467db71e74615649b323fc3ca","target":"record","created_at":"2026-05-18T03:59:13Z","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":"8f4b6f5f9e9a8324eb8f71970580d55be929dd5a3d23923801805a13840596a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-05-26T08:23:44Z","title_canon_sha256":"66aba0ac720391b2b042699cd872d2f72f94ca9a7fb08a6ad90d2711087c6771"},"schema_version":"1.0","source":{"id":"1105.5228","kind":"arxiv","version":3}},"canonical_sha256":"a39635304546dfdefe4746ee6a50c06c3c679e69b8b4f16d08ec9cc6d088b0fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a39635304546dfdefe4746ee6a50c06c3c679e69b8b4f16d08ec9cc6d088b0fa","first_computed_at":"2026-05-18T03:59:13.884032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:13.884032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hZy+VPGnwZU7PyzAfaBKsQjuAW19JDOAqhHPSFNPOFYi7OwWqZrrzYFw4h+NJNTatU9tEhxRbHQG9oQRH26DCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:13.884853Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.5228","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd3520a3e78e4771b69adfa48fbbf29f5428d79467db71e74615649b323fc3ca","sha256:766e2601a5c7f20c2eb8c1c00cc6fa99d88afc66695ce11b646168209cb332de"],"state_sha256":"c95cc00b36d3ff5884fde1104aa725d51853c69762dfb58f0de819aabb04c090"}