{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:R2BDGGAWXCHDD6XAINZMK2IESY","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":"a0336d93175e9f2499a18028bafd1db6461fc9172a916b7f156fed8b7ab9a4f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-06-11T06:09:03Z","title_canon_sha256":"6d39c71367dbc40757d18fe25853f4db9cede26640561228d6a2a5c54bb0608c"},"schema_version":"1.0","source":{"id":"1106.2208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.2208","created_at":"2026-05-18T04:20:06Z"},{"alias_kind":"arxiv_version","alias_value":"1106.2208v1","created_at":"2026-05-18T04:20:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2208","created_at":"2026-05-18T04:20:06Z"},{"alias_kind":"pith_short_12","alias_value":"R2BDGGAWXCHD","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"R2BDGGAWXCHDD6XA","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"R2BDGGAW","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:992f41c05c0600d3b1a2a2bb6816dc754a86d3808345910eb3b49921d7b17214","target":"graph","created_at":"2026-05-18T04:20:06Z","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":"Numerical causal derivative estimators from noisy data are essential for real time applications especially for control applications or fluid simulation so as to address the new paradigms in solid modeling and video compression. By using an analytical point of view due to Lanczos \\cite{C. Lanczos} to this causal case, we revisit $n^{th}$\\ order derivative estimators originally introduced within an algebraic framework by Mboup, Fliess and Join in \\cite{num,num0}. Thanks to a given noise level $\\delta$ and a well-suitable integration length window, we show that the derivative estimator error can ","authors_text":"Da-Yan Liu (INRIA Lille - Nord Europe, L2MA), LAGIS), Olivier Gibaru (INRIA Lille - Nord Europe, Wilfrid Perruquetti (INRIA Lille - Nord Europe","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-06-11T06:09:03Z","title":"Convergence Rate of the Causal Jacobi Derivative Estimator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2208","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":"sha256:6feba24aee71afecda480be291de5412be7fabe519827fa5b80f21c5fda9134b","target":"record","created_at":"2026-05-18T04:20:06Z","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":"a0336d93175e9f2499a18028bafd1db6461fc9172a916b7f156fed8b7ab9a4f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-06-11T06:09:03Z","title_canon_sha256":"6d39c71367dbc40757d18fe25853f4db9cede26640561228d6a2a5c54bb0608c"},"schema_version":"1.0","source":{"id":"1106.2208","kind":"arxiv","version":1}},"canonical_sha256":"8e82331816b88e31fae04372c569049620cf3d3a2d94c79a29c25f3b89276a93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e82331816b88e31fae04372c569049620cf3d3a2d94c79a29c25f3b89276a93","first_computed_at":"2026-05-18T04:20:06.239797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:06.239797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e4YrwXi8UOtpULabH0PnNuSyLJNnaSWByQIZQTpBdIQZ9wE1xiqhz7qlmuG+cZRjmvvDe1PWOQiYrh5SnCHHBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:06.240236Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.2208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6feba24aee71afecda480be291de5412be7fabe519827fa5b80f21c5fda9134b","sha256:992f41c05c0600d3b1a2a2bb6816dc754a86d3808345910eb3b49921d7b17214"],"state_sha256":"4ab3c421b8d5f25baf7d635f1c1b7a563579cd2c18b8f9b24000cb53dcece86f"}