{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:XDIPLREUA6M5UD3LOQK4YF5NLK","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":"9a3f93b8c170ec10ab1f75e4527dac83db510002e824b04c86e9e7a93cf21eda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2007-09-28T21:54:56Z","title_canon_sha256":"b1f0b37fa3e26835dd3969f30d671e627898c3b47929dc4cf58d87d32fe10e8c"},"schema_version":"1.0","source":{"id":"0710.0010","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.0010","created_at":"2026-05-18T00:17:30Z"},{"alias_kind":"arxiv_version","alias_value":"0710.0010v3","created_at":"2026-05-18T00:17:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.0010","created_at":"2026-05-18T00:17:30Z"},{"alias_kind":"pith_short_12","alias_value":"XDIPLREUA6M5","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"XDIPLREUA6M5UD3L","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"XDIPLREU","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:470a1ed797a9a0fa98edf67f78dec84a053d179b220fa3b7cdca14bf958cb266","target":"graph","created_at":"2026-05-18T00:17:30Z","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":"This note places into perspective the so-called algebraic time-derivative estimation method recently introduced by Fliess and co-authors with standard results from linear state-space theory for control systems. In particular, it is shown that the algebraic method can in a sense be seen as a special case of deadbeat state estimation based on the reconstructibility Gramian of the considered system.","authors_text":"J\\'er\\^ome Jouffroy, Johann Reger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2007-09-28T21:54:56Z","title":"On algebraic time-derivative estimation and deadbeat state reconstruction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.0010","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":"sha256:2a093a77be9f3878b5889bf07abe1f8c1c030f4e763b3582aa372f85d323fdcf","target":"record","created_at":"2026-05-18T00:17:30Z","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":"9a3f93b8c170ec10ab1f75e4527dac83db510002e824b04c86e9e7a93cf21eda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2007-09-28T21:54:56Z","title_canon_sha256":"b1f0b37fa3e26835dd3969f30d671e627898c3b47929dc4cf58d87d32fe10e8c"},"schema_version":"1.0","source":{"id":"0710.0010","kind":"arxiv","version":3}},"canonical_sha256":"b8d0f5c4940799da0f6b7415cc17ad5aad97b6b62e818172dc827b63532c7335","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8d0f5c4940799da0f6b7415cc17ad5aad97b6b62e818172dc827b63532c7335","first_computed_at":"2026-05-18T00:17:30.978697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:30.978697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rKLomvaUdJG9AE8pGumxXjcTxccScK7wFFE1deiYtmXCisxO4sgQ2kaYXe0ItomtV7QvQzkjpcAdrFCAVFt/Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:30.979357Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.0010","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a093a77be9f3878b5889bf07abe1f8c1c030f4e763b3582aa372f85d323fdcf","sha256:470a1ed797a9a0fa98edf67f78dec84a053d179b220fa3b7cdca14bf958cb266"],"state_sha256":"e42ef6158ee2b089bc0fe9f95f8ebbc13349d1bc46d98fc79950ce1f9f6702fd"}