{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:M4A5DIXCSK4SWPGOTAOPGZBX56","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":"f1c4371475c38b16da99d367f77212873b0bca2f729601051fc84f0fbd3a5c0e","cross_cats_sorted":["math.OC","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2026-07-20T10:14:24Z","title_canon_sha256":"a5203a0c3593455f29b4d8670214db6b647d1161dcb1e0a4ea1680fba785921a"},"schema_version":"1.0","source":{"id":"2607.17781","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.17781","created_at":"2026-07-21T02:21:59Z"},{"alias_kind":"arxiv_version","alias_value":"2607.17781v1","created_at":"2026-07-21T02:21:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.17781","created_at":"2026-07-21T02:21:59Z"},{"alias_kind":"pith_short_12","alias_value":"M4A5DIXCSK4S","created_at":"2026-07-21T02:21:59Z"},{"alias_kind":"pith_short_16","alias_value":"M4A5DIXCSK4SWPGO","created_at":"2026-07-21T02:21:59Z"},{"alias_kind":"pith_short_8","alias_value":"M4A5DIXC","created_at":"2026-07-21T02:21:59Z"}],"graph_snapshots":[{"event_id":"sha256:8ef1b3520ee6413edd37a6ef36f4c03ffd506f538d6852b5134f22f31ff6d7fd","target":"graph","created_at":"2026-07-21T02:21:59Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.17781/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Nonlinear state estimation under structural model uncertainty remains a central challenge in autonomous Guidance, Navigation, and Control (GNC) systems. Classical estimators propagate states using assumed dynamics and incorporate measurements through posterior correction, which under mismatch leads to biased innovations, estimator inconsistency, and particle degeneracy due to proposal--likelihood mismatch.\n  This paper presents the \\emph{Geometric Projection Particle Filter (GPF)}, a measurement-informed framework in which observation geometry directly influences state propagation. The method ","authors_text":"Soumyendu Raha, Surya Ratna Prakash D","cross_cats":["math.OC","stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2026-07-20T10:14:24Z","title":"Geometric Projection Particle Filtering under Model Uncertainty"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.17781","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":"sha256:73cc8d2e888191dcfc3e72621f20adeb46570d7f11c7ef33b4867b348257ec23","target":"record","created_at":"2026-07-21T02:21:59Z","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":"f1c4371475c38b16da99d367f77212873b0bca2f729601051fc84f0fbd3a5c0e","cross_cats_sorted":["math.OC","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2026-07-20T10:14:24Z","title_canon_sha256":"a5203a0c3593455f29b4d8670214db6b647d1161dcb1e0a4ea1680fba785921a"},"schema_version":"1.0","source":{"id":"2607.17781","kind":"arxiv","version":1}},"canonical_sha256":"6701d1a2e292b92b3cce981cf36437efadb3d692138e05d1f6cfb57789c06f3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6701d1a2e292b92b3cce981cf36437efadb3d692138e05d1f6cfb57789c06f3f","first_computed_at":"2026-07-21T02:21:59.860755Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T02:21:59.860755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/Umec4uoIMfGW1vqKKGI8s6SAIVsUGJYpVUQbYZPKf+wg9xM3rSGcV4stEDw+XhT7Q7PgcC7lJaRX34S2No6Dg==","signature_status":"signed_v1","signed_at":"2026-07-21T02:21:59.861629Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.17781","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73cc8d2e888191dcfc3e72621f20adeb46570d7f11c7ef33b4867b348257ec23","sha256:8ef1b3520ee6413edd37a6ef36f4c03ffd506f538d6852b5134f22f31ff6d7fd"],"state_sha256":"3c88c50269e44d5f9dc72b02b8fbc07d6d90fdf856b4a0b12c3975f9ea135aec"}