{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UTBO57PMKIT2O4T6WNCOPNWHUD","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":"5e60463c6cdcd24fcdba806ffcabf081fe956c6e3a44484896cbf55a4a2055c8","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-11-05T20:10:52Z","title_canon_sha256":"01de5dcab392ac1b694a324f94d8731a6c09f604cc64aecf68875d8f79984b29"},"schema_version":"1.0","source":{"id":"1111.1347","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.1347","created_at":"2026-05-18T04:09:26Z"},{"alias_kind":"arxiv_version","alias_value":"1111.1347v1","created_at":"2026-05-18T04:09:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1347","created_at":"2026-05-18T04:09:26Z"},{"alias_kind":"pith_short_12","alias_value":"UTBO57PMKIT2","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UTBO57PMKIT2O4T6","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UTBO57PM","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:86438c92104b202ba3c33b40c05bfaa5e5888c8438dcf76569ee1a18fd9edc43","target":"graph","created_at":"2026-05-18T04:09:26Z","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":"Distributed source coding (DSC) addresses the compression of correlated sources without communication links among them. This paper is concerned with the Wyner-Ziv problem: coding of an information source with side information available only at the decoder in the form of a noisy version of the source. Both the theoretical analysis and code design are addressed in the framework of multi-dimensional nested lattice coding (NLC). For theoretical analysis, accurate computation of the rate-distortion function is given under the high-resolution assumption, and a new upper bound using the derivative of","authors_text":"Cong Ling, Jean-Claude Belfiore, Su Gao","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-11-05T20:10:52Z","title":"Wyner-Ziv Coding Based on Multidimensional Nested Lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1347","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:db837c89203b3c5777a038f51716f9800f2f88888d7f10ed27cb64d1c181c501","target":"record","created_at":"2026-05-18T04:09:26Z","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":"5e60463c6cdcd24fcdba806ffcabf081fe956c6e3a44484896cbf55a4a2055c8","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-11-05T20:10:52Z","title_canon_sha256":"01de5dcab392ac1b694a324f94d8731a6c09f604cc64aecf68875d8f79984b29"},"schema_version":"1.0","source":{"id":"1111.1347","kind":"arxiv","version":1}},"canonical_sha256":"a4c2eefdec5227a7727eb344e7b6c7a0fd7272856379c44dcdd9701f4b1662c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4c2eefdec5227a7727eb344e7b6c7a0fd7272856379c44dcdd9701f4b1662c5","first_computed_at":"2026-05-18T04:09:26.423201Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:26.423201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UR0LGFb3/Q9bF7AaaMNPyQjD7N6V+noh35nsWQJJ7nFxokAdeVoEPeV/h/L7xoAFNwxaNioOh5FF1pCD4XegAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:26.423962Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.1347","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db837c89203b3c5777a038f51716f9800f2f88888d7f10ed27cb64d1c181c501","sha256:86438c92104b202ba3c33b40c05bfaa5e5888c8438dcf76569ee1a18fd9edc43"],"state_sha256":"d26660d7553f42dd0bab9d6e607e41e13937b3074d0a4dbf46230024674ceddb"}