{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UMALK4C34UJFTBMLRTAU23SYCI","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":"e367c32cfd8d3326d23a8c786a084c1c3c89f9383fcd420381dcc87531437195","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2013-03-25T17:31:06Z","title_canon_sha256":"22a0a8ae16e145d088e926785a2a39e16b82de35afe6ee20082a51f5f8b21d9e"},"schema_version":"1.0","source":{"id":"1303.6224","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6224","created_at":"2026-05-18T03:29:51Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6224v1","created_at":"2026-05-18T03:29:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6224","created_at":"2026-05-18T03:29:51Z"},{"alias_kind":"pith_short_12","alias_value":"UMALK4C34UJF","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UMALK4C34UJFTBML","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UMALK4C3","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:820111ed89aaaf1f270e7be59522e2849ab93d6442d44b9567cf4ec6673136fc","target":"graph","created_at":"2026-05-18T03:29:51Z","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":"Important applications in robotic and sensor networks require distributed algorithms to solve the so-called relative localization problem: a node-indexed vector has to be reconstructed from measurements of differences between neighbor nodes. In a recent note, we have studied the estimation error of a popular gradient descent algorithm showing that the mean square error has a minimum at a finite time, after which the performance worsens. This paper proposes a suitable modification of this algorithm incorporating more realistic \"a priori\" information on the position. The new algorithm presents a","authors_text":"Fabio Fagnani, Paolo Frasca, Wilbert Samuel Rossi","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2013-03-25T17:31:06Z","title":"Limited benefit of cooperation in distributed relative localization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6224","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:fcbd7a07b66058f08b059510d1eb0fc6f8b5d1093a018b95c4ee0b01c4990043","target":"record","created_at":"2026-05-18T03:29:51Z","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":"e367c32cfd8d3326d23a8c786a084c1c3c89f9383fcd420381dcc87531437195","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2013-03-25T17:31:06Z","title_canon_sha256":"22a0a8ae16e145d088e926785a2a39e16b82de35afe6ee20082a51f5f8b21d9e"},"schema_version":"1.0","source":{"id":"1303.6224","kind":"arxiv","version":1}},"canonical_sha256":"a300b5705be51259858b8cc14d6e58120ea139644055b41f0a91742d861918f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a300b5705be51259858b8cc14d6e58120ea139644055b41f0a91742d861918f7","first_computed_at":"2026-05-18T03:29:51.584707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:51.584707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jfOK3p3yw9hyH5GrwAH+PjfuL0moNiRaiderHkKgnho8Swem3yl3M3YyHtinZaKDFX+zCS8hipqm9bRQzNBvCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:51.585657Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.6224","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcbd7a07b66058f08b059510d1eb0fc6f8b5d1093a018b95c4ee0b01c4990043","sha256:820111ed89aaaf1f270e7be59522e2849ab93d6442d44b9567cf4ec6673136fc"],"state_sha256":"f5a12a46e11a5d55fea4f9e8314663d006067cec85ce62bb6f2998927d7ebecd"}