{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QHHDX4HN7EOU5BIM3KRMZMWFZT","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":"0cbb618e0b6b6b1b383d750d9f67e0af42393c1f452a505a30b7e4d033a7c3c7","cross_cats_sorted":["cs.IT","cs.RO","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-03-31T20:44:36Z","title_canon_sha256":"6f5f868f47d95285856edbf80b0486fc472a00edfeca2b804c43e63134b2e4c8"},"schema_version":"1.0","source":{"id":"1204.0133","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0133","created_at":"2026-05-18T03:58:50Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0133v1","created_at":"2026-05-18T03:58:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0133","created_at":"2026-05-18T03:58:50Z"},{"alias_kind":"pith_short_12","alias_value":"QHHDX4HN7EOU","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QHHDX4HN7EOU5BIM","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QHHDX4HN","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:8fc3c10f1e5d85b5a72eaa048684508bb30ab865c099e970eea17a5a2fdcaaf8","target":"graph","created_at":"2026-05-18T03:58:50Z","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":"In this paper, we propose a progressive Bayesian procedure, where the measurement information is continuously included into the given prior estimate (although we perform observations at discrete time steps). The key idea is to derive a system of ordinary first-order differential equations (ODE) by employing a new coupled density representation comprising a Gaussian density and its Dirac Mixture approximation. The ODE is used for continuously tracking the true non-Gaussian posterior by its best matching Gaussian approximation. The performance of the new filter is evaluated in comparison with st","authors_text":"Jannik Steinbring, Uwe D. Hanebeck","cross_cats":["cs.IT","cs.RO","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-03-31T20:44:36Z","title":"Progressive Gaussian Filtering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0133","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:f3b4c0db1e7bc3dae833e433428d78a66d6d348b822eae5362dcbd95d8fcef15","target":"record","created_at":"2026-05-18T03:58:50Z","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":"0cbb618e0b6b6b1b383d750d9f67e0af42393c1f452a505a30b7e4d033a7c3c7","cross_cats_sorted":["cs.IT","cs.RO","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-03-31T20:44:36Z","title_canon_sha256":"6f5f868f47d95285856edbf80b0486fc472a00edfeca2b804c43e63134b2e4c8"},"schema_version":"1.0","source":{"id":"1204.0133","kind":"arxiv","version":1}},"canonical_sha256":"81ce3bf0edf91d4e850cdaa2ccb2c5ccdc6aa04505ff1822a4832561059264a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81ce3bf0edf91d4e850cdaa2ccb2c5ccdc6aa04505ff1822a4832561059264a5","first_computed_at":"2026-05-18T03:58:50.278566Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:50.278566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jY3xOyvaNKtrd2lML/gpEl2oE+54iTb5GewBQ5SVVnXaJV0qcWA+RnZTTK/1UwxURisaVYkaYSFtEQhFskjJCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:50.279384Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0133","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3b4c0db1e7bc3dae833e433428d78a66d6d348b822eae5362dcbd95d8fcef15","sha256:8fc3c10f1e5d85b5a72eaa048684508bb30ab865c099e970eea17a5a2fdcaaf8"],"state_sha256":"ba0487fabd9637f4d3b34f2cfa5f80f28c0e88a92ee9a87aca0d108fd8674bff"}