{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5Y6OX3AYO6HPJTCT5VXASXMPSD","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":"f05fe54df8bb435aadb69234be382d0fcc2b6d29ce7a23f757845a25a3bdce7f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-13T10:19:54Z","title_canon_sha256":"bf07f7b6e4006532662bc5f9d88745c8733f04a1e67e41a36f82944af0b18f59"},"schema_version":"1.0","source":{"id":"1701.03612","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03612","created_at":"2026-05-18T00:23:40Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03612v1","created_at":"2026-05-18T00:23:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03612","created_at":"2026-05-18T00:23:40Z"},{"alias_kind":"pith_short_12","alias_value":"5Y6OX3AYO6HP","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"5Y6OX3AYO6HPJTCT","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"5Y6OX3AY","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:1befef3baba4a020c454f6df0bbc75a1e276f613eaba6721d8a73830ba53b516","target":"graph","created_at":"2026-05-18T00:23:40Z","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":"In this work, we establish a full single-letter characterization of the rate-distortion region of an instance of the Gray-Wyner model with side information at the decoders. Specifically, in this model an encoder observes a pair of memoryless, arbitrarily correlated, sources $(S^n_1,S^n_2)$ and communicates with two receivers over an error-free rate-limited link of capacity $R_0$, as well as error-free rate-limited individual links of capacities $R_1$ to the first receiver and $R_2$ to the second receiver. Both receivers reproduce the source component $S^n_2$ losslessly; and Receiver $1$ also r","authors_text":"Abdellatif Zaidi, Meryem Benammar","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-13T10:19:54Z","title":"Rate-Distortion Region of a Gray-Wyner Model with Side Information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03612","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:a004a9cbd15cd6d94dbcdb258297edf2bc8eb292e5b7eaa1b043a281c9eab398","target":"record","created_at":"2026-05-18T00:23:40Z","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":"f05fe54df8bb435aadb69234be382d0fcc2b6d29ce7a23f757845a25a3bdce7f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-13T10:19:54Z","title_canon_sha256":"bf07f7b6e4006532662bc5f9d88745c8733f04a1e67e41a36f82944af0b18f59"},"schema_version":"1.0","source":{"id":"1701.03612","kind":"arxiv","version":1}},"canonical_sha256":"ee3cebec18778ef4cc53ed6e095d8f90fe4e5c3e06d797fc895a7c30acc89c8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee3cebec18778ef4cc53ed6e095d8f90fe4e5c3e06d797fc895a7c30acc89c8d","first_computed_at":"2026-05-18T00:23:40.227187Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:40.227187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jDA+ZBx+bV1n4MQJd26l8QXqJ2K0rvV2aRiHzOt3R71A9zJTxRnhOZKik+1R7UUEvzMiXTOH5d4onq/700a1Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:40.227754Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.03612","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a004a9cbd15cd6d94dbcdb258297edf2bc8eb292e5b7eaa1b043a281c9eab398","sha256:1befef3baba4a020c454f6df0bbc75a1e276f613eaba6721d8a73830ba53b516"],"state_sha256":"c64313ab2d61d8b5c38687eb388b296f58f21fcb035c1167c926dda16a95d7d0"}