{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:HPEPNHNMGCABA2BSEZ7CPM7QDE","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":"032b9d02ef98beee8123e5b845b5f048f05464f036a3f846112ef9ac569dd86b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-07-27T09:55:08Z","title_canon_sha256":"5489c24f83e5934ecbb8dcd70103af292010d931cc8b4018f2c4396457696a8f"},"schema_version":"1.0","source":{"id":"2307.14741","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.14741","created_at":"2026-07-05T06:35:17Z"},{"alias_kind":"arxiv_version","alias_value":"2307.14741v1","created_at":"2026-07-05T06:35:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.14741","created_at":"2026-07-05T06:35:17Z"},{"alias_kind":"pith_short_12","alias_value":"HPEPNHNMGCAB","created_at":"2026-07-05T06:35:17Z"},{"alias_kind":"pith_short_16","alias_value":"HPEPNHNMGCABA2BS","created_at":"2026-07-05T06:35:17Z"},{"alias_kind":"pith_short_8","alias_value":"HPEPNHNM","created_at":"2026-07-05T06:35:17Z"}],"graph_snapshots":[{"event_id":"sha256:f4978e9575bb8f63aa3ccd7e3c30496270e8e0e7780eda7e1e857100ddcf3a7d","target":"graph","created_at":"2026-07-05T06:35:17Z","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/2307.14741/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Linear fusion is a cornerstone of estimation theory. Optimal linear fusion was derived by Bar-Shalom and Campo in the 1980s. It requires knowledge of the cross-covariances between the errors of the estimators. In distributed or cooperative systems, these cross-covariances are difficult to compute. To avoid an underestimation of the errors when these cross-covariances are unknown, conservative fusions must be performed. A conservative fusion provides a fused estimator with a covariance bound which is guaranteed to be larger than the true (but not computable) covariance of the error. Previous re","authors_text":"Christophe Prieur, Colin Cros, Jean-Fran\\c{c}ois Da Rocha, Pierre-Olivier Amblard","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-07-27T09:55:08Z","title":"Optimality of Split Covariance Intersection Fusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.14741","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:f8bb4848bc2759fa60d366f077ab36838cd13bb8b8cb8aa41395efb9139bc71a","target":"record","created_at":"2026-07-05T06:35:17Z","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":"032b9d02ef98beee8123e5b845b5f048f05464f036a3f846112ef9ac569dd86b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-07-27T09:55:08Z","title_canon_sha256":"5489c24f83e5934ecbb8dcd70103af292010d931cc8b4018f2c4396457696a8f"},"schema_version":"1.0","source":{"id":"2307.14741","kind":"arxiv","version":1}},"canonical_sha256":"3bc8f69dac3080106832267e27b3f01922d48a13ec0182a8d70243f0b5e1cf41","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3bc8f69dac3080106832267e27b3f01922d48a13ec0182a8d70243f0b5e1cf41","first_computed_at":"2026-07-05T06:35:17.298659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:35:17.298659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eIMe/PKUEvh8tzoAA92EFAPco8jMf4AW58C8qSLrzZ0lFQjZIIKalBh2Lk13OXr7RFcEfW/R4puiW5+xvTAjBg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:35:17.299053Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.14741","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8bb4848bc2759fa60d366f077ab36838cd13bb8b8cb8aa41395efb9139bc71a","sha256:f4978e9575bb8f63aa3ccd7e3c30496270e8e0e7780eda7e1e857100ddcf3a7d"],"state_sha256":"7bb4b589412d56c2d56b379d992c39ab1296518384903d04b06bb13aee9cf148"}