{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XONWFLHLRLQNHAVYSQG22EAZA7","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":"4f1ee74579d617eba3b4f7bc57896f2610db75c914d951268e5598966c1f80ae","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.IT","submitted_at":"2010-01-23T18:02:46Z","title_canon_sha256":"2b2bd426ead3108d174ddb5d481700219084103fcac5903239f08da8ee207046"},"schema_version":"1.0","source":{"id":"1001.4181","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.4181","created_at":"2026-05-18T04:23:13Z"},{"alias_kind":"arxiv_version","alias_value":"1001.4181v2","created_at":"2026-05-18T04:23:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.4181","created_at":"2026-05-18T04:23:13Z"},{"alias_kind":"pith_short_12","alias_value":"XONWFLHLRLQN","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XONWFLHLRLQNHAVY","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XONWFLHL","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:1d7d69d6d06647a10cb487ffd58196fea8e27153eea86648250e0ae569032fbf","target":"graph","created_at":"2026-05-18T04:23:13Z","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 improve the existing achievable rate regions for causal and for zero-delay source coding of stationary Gaussian sources under an average mean squared error (MSE) distortion measure. To begin with, we find a closed-form expression for the information-theoretic causal rate-distortion function (RDF) under such distortion measure, denoted by $R_{c}^{it}(D)$, for first-order Gauss-Markov processes. Rc^{it}(D) is a lower bound to the optimal performance theoretically attainable (OPTA) by any causal source code, namely Rc^{op}(D). We show that, for Gaussian sources, the latter can also be upper bo","authors_text":"Jan {\\O}stergaard, Milan S. Derpich","cross_cats":["math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.IT","submitted_at":"2010-01-23T18:02:46Z","title":"Improved Upper Bounds to the Causal Quadratic Rate-Distortion Function for Gaussian Stationary Sources"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.4181","kind":"arxiv","version":2},"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":"sha256:6e1254a73f14aefa738a14d70512877aedecbbdaaa6692972bf8864f4adf69d0","target":"record","created_at":"2026-05-18T04:23:13Z","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":"4f1ee74579d617eba3b4f7bc57896f2610db75c914d951268e5598966c1f80ae","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.IT","submitted_at":"2010-01-23T18:02:46Z","title_canon_sha256":"2b2bd426ead3108d174ddb5d481700219084103fcac5903239f08da8ee207046"},"schema_version":"1.0","source":{"id":"1001.4181","kind":"arxiv","version":2}},"canonical_sha256":"bb9b62aceb8ae0d382b8940dad101907e1cc56f1545e7e859551ba8c8c14b48e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb9b62aceb8ae0d382b8940dad101907e1cc56f1545e7e859551ba8c8c14b48e","first_computed_at":"2026-05-18T04:23:13.360367Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:13.360367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bF0UvNyOJ91//qt0KbyOdor/YR2962L1MmY0QpJv1ccQ6BDybWVzzHCQ9x1e/9d5TlpFYE26InusYbBp/O5oBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:13.361077Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.4181","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e1254a73f14aefa738a14d70512877aedecbbdaaa6692972bf8864f4adf69d0","sha256:1d7d69d6d06647a10cb487ffd58196fea8e27153eea86648250e0ae569032fbf"],"state_sha256":"2a1598dc0b478bc5db3c05d2bcedc6ff59963c514266ed810d21897a40c912fb"}