{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:TKPI52VSJUQXSEHLBO4IL5V2CN","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":"98d0906bb57c8d47f1ab14e73c0917b5665b0a468facaaf08e9d3f1e08dcbfea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-08-03T22:56:46Z","title_canon_sha256":"6ad35942d665e6ae71b909d757f7e59af7bfb7181c9c681e12348631fedaf9db"},"schema_version":"1.0","source":{"id":"1008.0669","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0669","created_at":"2026-05-18T04:03:43Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0669v1","created_at":"2026-05-18T04:03:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0669","created_at":"2026-05-18T04:03:43Z"},{"alias_kind":"pith_short_12","alias_value":"TKPI52VSJUQX","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"TKPI52VSJUQXSEHL","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"TKPI52VS","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:65e30af3014bb90d971a7d3429b19b35b7acadc0f842a08ae10a94ad8693ed62","target":"graph","created_at":"2026-05-18T04:03:43Z","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":"The stability analysis introduced by Lyapunov and extended by Oseledec is an excellent tool to describe the character of nonlinear n-dimensional flows by n global exponents if these flows are stable in time. However, there are two main shortcomings: (a) The local exponents fail to indicate the origin of instability where trajectories start to diverge. Instead, their time evolution contains a much stronger chaos than the trajectories, which is only eliminated by integrating over a long time. Therefore, shorter time intervals cannot be characterized correctly, which would be essential to analyse","authors_text":"(2) Queen Mary University of London, Franz Waldner (1), Rainer Klages (2) ((1) Physics Institute, School of Mathematical Sciences, Switzerland, UK), University of Zurich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-08-03T22:56:46Z","title":"Jacobian deformation ellipsoid and Lyapunov stability analysis revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0669","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":"sha256:2268ff0d7102fa61f4a8b61fd3582ec9b89cbaf941eed895c2316c580b43263e","target":"record","created_at":"2026-05-18T04:03:43Z","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":"98d0906bb57c8d47f1ab14e73c0917b5665b0a468facaaf08e9d3f1e08dcbfea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-08-03T22:56:46Z","title_canon_sha256":"6ad35942d665e6ae71b909d757f7e59af7bfb7181c9c681e12348631fedaf9db"},"schema_version":"1.0","source":{"id":"1008.0669","kind":"arxiv","version":1}},"canonical_sha256":"9a9e8eeab24d217910eb0bb885f6ba136b7d1130f9e0925491060066bd879403","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a9e8eeab24d217910eb0bb885f6ba136b7d1130f9e0925491060066bd879403","first_computed_at":"2026-05-18T04:03:43.647141Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:43.647141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LM9djxgOZ/qswKFx7sHjVoAeus96R1+1im2iaUhwx63PSf/dzsJ41pcgvG9kqTMbM6j95w1EGejEpFblQKO1Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:43.647912Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0669","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2268ff0d7102fa61f4a8b61fd3582ec9b89cbaf941eed895c2316c580b43263e","sha256:65e30af3014bb90d971a7d3429b19b35b7acadc0f842a08ae10a94ad8693ed62"],"state_sha256":"d6b49c74c3397fc249962b2d2495a7430796bea9f658b96c3ea3f9c28f7f9200"}