{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YQNGHMQ7PFXP7OIGLL6C7G7SNA","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":"5fa76c3d5075aa331280d2b47aba0ca4d9c7f92200d57255b1f35ba8257d705b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-21T22:36:49Z","title_canon_sha256":"270a5a1ff1a4e7c165b5b2fdd4028e443c07b1dfbdd50e4accbda37ca31a8d9a"},"schema_version":"1.0","source":{"id":"1812.09398","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09398","created_at":"2026-05-17T23:55:42Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09398v3","created_at":"2026-05-17T23:55:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09398","created_at":"2026-05-17T23:55:42Z"},{"alias_kind":"pith_short_12","alias_value":"YQNGHMQ7PFXP","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YQNGHMQ7PFXP7OIG","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YQNGHMQ7","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:c6195251f521d149408c178d44b068abe4d08bb3b7233a9e5b1103c5d0daf0fe","target":"graph","created_at":"2026-05-17T23:55:42Z","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 paper proposes two novel nonlinear attitude filters evolved directly on the Special Orthogonal Group SO(3) able to ensure prescribed measures of transient and steady-state performance. The tracking performance of the normalized Euclidean distance of attitude error is trapped to initially start within a large set and converge systematically and asymptotically to the origin from almost any initial condition. The convergence rate is guaranteed to be less than the prescribed value and the steady-state error does not exceed a predefined small value. The first filter uses a set of vectorial mea","authors_text":"Hashim A. Hashim, Kenneth McIsaac, Lyndon J. Brown","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-21T22:36:49Z","title":"Guaranteed Performance of Nonlinear Attitude Filters on the Special Orthogonal Group SO(3)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09398","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":"sha256:93f1e7bee48c05ba5f336fb27982f3a8aec145340eb71f4c551166043e9bf9c7","target":"record","created_at":"2026-05-17T23:55:42Z","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":"5fa76c3d5075aa331280d2b47aba0ca4d9c7f92200d57255b1f35ba8257d705b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-21T22:36:49Z","title_canon_sha256":"270a5a1ff1a4e7c165b5b2fdd4028e443c07b1dfbdd50e4accbda37ca31a8d9a"},"schema_version":"1.0","source":{"id":"1812.09398","kind":"arxiv","version":3}},"canonical_sha256":"c41a63b21f796effb9065afc2f9bf26812671b9715e9c9335521b293eec76f4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c41a63b21f796effb9065afc2f9bf26812671b9715e9c9335521b293eec76f4f","first_computed_at":"2026-05-17T23:55:42.341666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:42.341666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"phxi70QoxPGEzrokRkbwkCytO5uLBXu3jn3Ob++CKU0kzf8fZmH5dAswb2NQfqpGtP7pC1aed1hX2duJUP/KDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:42.342110Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.09398","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93f1e7bee48c05ba5f336fb27982f3a8aec145340eb71f4c551166043e9bf9c7","sha256:c6195251f521d149408c178d44b068abe4d08bb3b7233a9e5b1103c5d0daf0fe"],"state_sha256":"84da0e0be712fe4de1825305b38c69575b2248f2d8f68c1009b076a240739703"}