{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:43PBNH37XFC73Y52Y2QBLBMVDA","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":"0edd18dcebb05baab5521b17e8222cf0721124618d36c92158635f8a1d12bbb9","cross_cats_sorted":["cs.RO","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-08-16T05:19:32Z","title_canon_sha256":"a9ffbedc52bbddea023834f3d9a87ba91cd27602dc4c01c9c59bf2fe63f892e0"},"schema_version":"1.0","source":{"id":"1708.05004","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.05004","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"arxiv_version","alias_value":"1708.05004v3","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05004","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"pith_short_12","alias_value":"43PBNH37XFC7","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"43PBNH37XFC73Y52","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"43PBNH37","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:46c11ddbe113b2efd56667bd6111c49bc65ef9c96bc70a8f15faf64f55be1ca5","target":"graph","created_at":"2026-05-17T23:56:30Z","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":"Rigid motion computation or estimation is a cornerstone in numerous fields. Attitude computation can be achieved by integrating the angular velocity measured by gyroscopes, the accuracy of which is crucially important for the dead-reckoning inertial navigation. The state-of-the-art attitude algorithms have unexceptionally relied on the simplified differential equation of the rotation vector to obtain the attitude. This paper proposes a Functional Iteration technique with the Rodrigues vector (named the RodFIter method) to analytically reconstruct the attitude from gyroscope measurements. The R","authors_text":"Yuanxin Wu","cross_cats":["cs.RO","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-08-16T05:19:32Z","title":"RodFIter: Attitude Reconstruction from Inertial Measurement by Functional Iteration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05004","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":"sha256:890f04b0d2c6cc8aca0bf8cfc717bef28fdc345715fb823113567fa55f57b130","target":"record","created_at":"2026-05-17T23:56:30Z","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":"0edd18dcebb05baab5521b17e8222cf0721124618d36c92158635f8a1d12bbb9","cross_cats_sorted":["cs.RO","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-08-16T05:19:32Z","title_canon_sha256":"a9ffbedc52bbddea023834f3d9a87ba91cd27602dc4c01c9c59bf2fe63f892e0"},"schema_version":"1.0","source":{"id":"1708.05004","kind":"arxiv","version":3}},"canonical_sha256":"e6de169f7fb945fde3bac6a0158595182a8c1fbf96e282d938e80fb56fa89070","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6de169f7fb945fde3bac6a0158595182a8c1fbf96e282d938e80fb56fa89070","first_computed_at":"2026-05-17T23:56:30.249269Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:30.249269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lYoBqjhhyN2lylgsAAubISQ0iEAwtJ9X3yRsugPpgE2pzVAZlK8UQwxVrZBLKoQVP6prgMf8qnAI0BqKDTJPAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:30.249663Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.05004","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:890f04b0d2c6cc8aca0bf8cfc717bef28fdc345715fb823113567fa55f57b130","sha256:46c11ddbe113b2efd56667bd6111c49bc65ef9c96bc70a8f15faf64f55be1ca5"],"state_sha256":"aa70ada33d77498d3cc4cf9d5c3d667ac7b81bd583adf9ea1da5b3f26c6ce0f0"}