{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OFQ3HXJINYCJ6QDA2ACH6JVKU4","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":"f1ecba8c86ddb95a0621b4715e07600d36bd7abcc862319f01847e47820492c0","cross_cats_sorted":["math-ph","math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2015-06-10T09:04:06Z","title_canon_sha256":"d9fd3f34cc59b6a14cfd0b16d3d6adea4151b67927941717c1d3722c5e94ba19"},"schema_version":"1.0","source":{"id":"1506.03221","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.03221","created_at":"2026-05-18T01:22:21Z"},{"alias_kind":"arxiv_version","alias_value":"1506.03221v1","created_at":"2026-05-18T01:22:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.03221","created_at":"2026-05-18T01:22:21Z"},{"alias_kind":"pith_short_12","alias_value":"OFQ3HXJINYCJ","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OFQ3HXJINYCJ6QDA","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OFQ3HXJI","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:5e57c279d2ad2e72313be3532d9cc7866cbea77909a1ae01aec19c00d1c85ad5","target":"graph","created_at":"2026-05-18T01:22:21Z","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":"Orbit determination is possible for a chaotic orbit of a dynamical system, given a finite set of observations, provided the initial conditions are at the central time. In a simple discrete model, the standard map, we tackle the problem of chaotic orbit determination when observations extend beyond the predictability horizon. If the orbit is hyperbolic, a shadowing orbit is computed by the least squares orbit determination. We test both the convergence of the orbit determination iterative procedure and the behaviour of the uncertainties as a function of the maximum number $n$ of map iterations ","authors_text":"Andrea Milani, Federica Spoto","cross_cats":["math-ph","math.DS","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2015-06-10T09:04:06Z","title":"Shadowing Lemma and Chaotic Orbit Determination"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.03221","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":"sha256:3206c18948001da0a918ab9399702a74133510ffe4c68a4d4c9614af6d567607","target":"record","created_at":"2026-05-18T01:22:21Z","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":"f1ecba8c86ddb95a0621b4715e07600d36bd7abcc862319f01847e47820492c0","cross_cats_sorted":["math-ph","math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2015-06-10T09:04:06Z","title_canon_sha256":"d9fd3f34cc59b6a14cfd0b16d3d6adea4151b67927941717c1d3722c5e94ba19"},"schema_version":"1.0","source":{"id":"1506.03221","kind":"arxiv","version":1}},"canonical_sha256":"7161b3dd286e049f4060d0047f26aaa70f958ccaed5e436f09112ee51b20d372","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7161b3dd286e049f4060d0047f26aaa70f958ccaed5e436f09112ee51b20d372","first_computed_at":"2026-05-18T01:22:21.003491Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:21.003491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y89lw83JI5zYEVOxbhXh1JJQsep/H4SaJP95UGqZzwdnev6Bd/WF/GWZQLKZo/O/yhq/NfybmhfidsQSZIGqDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:21.004237Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.03221","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3206c18948001da0a918ab9399702a74133510ffe4c68a4d4c9614af6d567607","sha256:5e57c279d2ad2e72313be3532d9cc7866cbea77909a1ae01aec19c00d1c85ad5"],"state_sha256":"09d3a67ca6d1ef26df9555ac17a5687fcdfacb97920ad968010bd0d59aa8dc23"}