{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RWZIA5DVEILEIQYBL44QKFKNES","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":"b3bd2a72d6043c7ce1224925929c5d2e7fc637e6dd24e6fe0f1948cace5458ce","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-05T06:59:52Z","title_canon_sha256":"30a61e6f302260c8ea04a3abc8373741bbbccf13244cc6a8a3ed8c24e94173e8"},"schema_version":"1.0","source":{"id":"1504.01090","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.01090","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"arxiv_version","alias_value":"1504.01090v3","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01090","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"pith_short_12","alias_value":"RWZIA5DVEILE","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RWZIA5DVEILEIQYB","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RWZIA5DV","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:479711b2f2941563b22b7eb0a07bb24e3380622da4546ff39eb2ba343bcd6b60","target":"graph","created_at":"2026-05-18T01:00:40Z","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":"We consider a source coding problem with a network scenario in mind, and formulate it as a remote vector Gaussian Wyner-Ziv problem under covariance matrix distortions. We define a notion of minimum for two positive-definite matrices based on which we derive an explicit formula for the rate-distortion function (RDF). We then study the special cases and applications of this result. We show that two well-studied source coding problems, i.e. remote vector Gaussian Wyner-Ziv problems with mean-squared error and mutual information constraints are in fact special cases of our results. Finally, we ap","authors_text":"Adel Zahedi, Jan {\\O}stergaard, Patrick A. Naylor, S{\\o}ren Bech, S{\\o}ren Holdt Jensen","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-05T06:59:52Z","title":"Source Coding in Networks with Covariance Distortion Constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01090","kind":"arxiv","version":3},"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":"sha256:4f1dc82d001b293e69017f18a4e1cd44f44b9042b79ea7001ae0dd18edf7297a","target":"record","created_at":"2026-05-18T01:00:40Z","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":"b3bd2a72d6043c7ce1224925929c5d2e7fc637e6dd24e6fe0f1948cace5458ce","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-05T06:59:52Z","title_canon_sha256":"30a61e6f302260c8ea04a3abc8373741bbbccf13244cc6a8a3ed8c24e94173e8"},"schema_version":"1.0","source":{"id":"1504.01090","kind":"arxiv","version":3}},"canonical_sha256":"8db280747522164443015f3905154d24b52f5b7bce85df4ffd076d59f7440c23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8db280747522164443015f3905154d24b52f5b7bce85df4ffd076d59f7440c23","first_computed_at":"2026-05-18T01:00:40.684152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:40.684152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D/NkvaPHtejyxVHlegx3YipaX2iQR5SgcABkpoq5/8MCYVm1dd4nM8zR5WuyhvkK3SDii/oBUHX6fiv0f2koBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:40.684576Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.01090","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f1dc82d001b293e69017f18a4e1cd44f44b9042b79ea7001ae0dd18edf7297a","sha256:479711b2f2941563b22b7eb0a07bb24e3380622da4546ff39eb2ba343bcd6b60"],"state_sha256":"fb7eba0004dfd800a44512e44175391c0e591ffd120734702ac6c81b3b618339"}