{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:L7LSVTQJTTTLOGAG2IS6XTYKAB","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":"2e5c547c60d2f2a8a827ab65de8db08275984dbf7dc9e2caebc3562a5933b758","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-12-08T22:39:02Z","title_canon_sha256":"4b8e2782662f166057456217577a461ed582702f6a060b7feaada8d624d8d121"},"schema_version":"1.0","source":{"id":"1112.1977","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1977","created_at":"2026-05-18T03:02:05Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1977v4","created_at":"2026-05-18T03:02:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1977","created_at":"2026-05-18T03:02:05Z"},{"alias_kind":"pith_short_12","alias_value":"L7LSVTQJTTTL","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"L7LSVTQJTTTLOGAG","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"L7LSVTQJ","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:417824b83180b28e5012f9f12ffa16e4c3cd656813c07e45ebd93d4e220d13e5","target":"graph","created_at":"2026-05-18T03:02:05Z","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":"Random fields play a central role in the analysis of spatially correlated data and, as a result, have a significant impact on a broad array of scientific applications. This paper studies the cepstral random field model, providing recursive formulas that connect the spatial cepstral coefficients to an equivalent moving-average random field, which facilitates easy computation of the autocovariance matrix. We also provide a comprehensive treatment of the asymptotic theory for two-dimensional random field models: we establish asymptotic results for Bayesian, maximum likelihood and quasi-maximum li","authors_text":"Scott H. Holan, Tucker S. McElroy","cross_cats":["stat.ME","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-12-08T22:39:02Z","title":"Asymptotic theory of cepstral random fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1977","kind":"arxiv","version":4},"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":"sha256:7925526a48f896a4a7d0ace1c1754010f39a702b1b069b2233282820555704b1","target":"record","created_at":"2026-05-18T03:02:05Z","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":"2e5c547c60d2f2a8a827ab65de8db08275984dbf7dc9e2caebc3562a5933b758","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-12-08T22:39:02Z","title_canon_sha256":"4b8e2782662f166057456217577a461ed582702f6a060b7feaada8d624d8d121"},"schema_version":"1.0","source":{"id":"1112.1977","kind":"arxiv","version":4}},"canonical_sha256":"5fd72ace099ce6b71806d225ebcf0a00671f755334188b71606525d8c6747a33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fd72ace099ce6b71806d225ebcf0a00671f755334188b71606525d8c6747a33","first_computed_at":"2026-05-18T03:02:05.896221Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:05.896221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k7CSGReJtHRl5QY/CUHMBJcBdLla4EKmeCSuCZH1YGY7BZ2krDBUAymh8uLwsz0ZA8HTc0/2bfsL/DoB8ZugBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:05.896950Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1977","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7925526a48f896a4a7d0ace1c1754010f39a702b1b069b2233282820555704b1","sha256:417824b83180b28e5012f9f12ffa16e4c3cd656813c07e45ebd93d4e220d13e5"],"state_sha256":"880f8e17f420826608cad5a4b8760127e6f8d0333c54f6a3282e19dba1937a44"}