{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QU7J2TC2WNJBGUWAUURI7G2HD6","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":"f64e4cdb3afe8d74860fc482c7294fdd62a43507721b39e1ad8a47bf8dd58c5a","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-01-16T01:01:06Z","title_canon_sha256":"de4e328eb1582103d489f19293e440fe85fe72004560da06277e74357823e551"},"schema_version":"1.0","source":{"id":"1901.05096","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.05096","created_at":"2026-05-17T23:56:11Z"},{"alias_kind":"arxiv_version","alias_value":"1901.05096v1","created_at":"2026-05-17T23:56:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.05096","created_at":"2026-05-17T23:56:11Z"},{"alias_kind":"pith_short_12","alias_value":"QU7J2TC2WNJB","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QU7J2TC2WNJBGUWA","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QU7J2TC2","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:c08802ca916d094eab6011ae64d6ae84aa81eec1033c3626f559e2d86c19be5a","target":"graph","created_at":"2026-05-17T23:56:11Z","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 many applications, status information of a general spatial process, in contrast to a point information source, is of interest. In this paper, we consider a system where status information is drawn from a random field and transmitted to a fusion center through a wireless multiaccess channel. The optimal density of spatial sampling points to minimize the remote status estimation error is investigated. Assuming a one-dimensional Gauss Markov random field and an exponential correlation function, closed-form expressions of remote estimation error are obtained for First-Come First-Served (FCFS) a","authors_text":"Sheng Zhou, Zhiyuan Jiang","cross_cats":["cs.NI","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-01-16T01:01:06Z","title":"Status from a Random Field: How Densely Should One Update?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.05096","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":"sha256:479952e1cd26bdf32e71e1dcdcfa6989e2c2fd028da2ca8fc03b6cfb4d17848e","target":"record","created_at":"2026-05-17T23:56:11Z","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":"f64e4cdb3afe8d74860fc482c7294fdd62a43507721b39e1ad8a47bf8dd58c5a","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-01-16T01:01:06Z","title_canon_sha256":"de4e328eb1582103d489f19293e440fe85fe72004560da06277e74357823e551"},"schema_version":"1.0","source":{"id":"1901.05096","kind":"arxiv","version":1}},"canonical_sha256":"853e9d4c5ab3521352c0a5228f9b471fb256bbd2165df85be30e906a25ebf762","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"853e9d4c5ab3521352c0a5228f9b471fb256bbd2165df85be30e906a25ebf762","first_computed_at":"2026-05-17T23:56:11.966248Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:11.966248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EWiL5HtTP8yBOOegsFKqXsLmSv8g3ULJsn5tjL4d5S3lcZjQJPYBOBZJV4RVNe/gduBH3snSjUzamfgNLempCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:11.966820Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.05096","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:479952e1cd26bdf32e71e1dcdcfa6989e2c2fd028da2ca8fc03b6cfb4d17848e","sha256:c08802ca916d094eab6011ae64d6ae84aa81eec1033c3626f559e2d86c19be5a"],"state_sha256":"cbed68fcc4b95b9ef3a1c3dea4b2c98d2d5261a778306d3893a7baef82c70a3f"}