{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:PDZTILLT6UIQDILREMXZLAAC2J","short_pith_number":"pith:PDZTILLT","schema_version":"1.0","canonical_sha256":"78f3342d73f51101a171232f958002d27e9d4c4cd7c16ed81809523a69546c19","source":{"kind":"arxiv","id":"1904.05179","version":5},"attestation_state":"computed","paper":{"title":"On the Scalar-Help-Vector Source Coding Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"C. Deng, Q. Zhang, S. Wu","submitted_at":"2019-04-10T13:38:20Z","abstract_excerpt":"In this paper, we consider a scalar-help-vector source coding problem for $L+1$ correlated Gaussian memoryless sources. We deal with the case where $L$ encoders observe noisy linear combinations of $K$ correlated Gaussian scalar sources which work as partial side information at the decoder, while the remaining one encoder observes a vector Gaussian source which works as the primary source we need to reconstruct. We determine an outer region for the case where the $L$ sources are conditionally independent of the vector source. We also show an inner region for a special case when the vector sour"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1904.05179","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-04-10T13:38:20Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"48293a0d0b8e4873dafb8773e3bbe6f8dff225fd59057c407cee3499aa1b3f07","abstract_canon_sha256":"1dd00b931332a9ce1546855e64b320e933d9948f6ed01d3e827ea07ca863a00a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:18:50.992846Z","signature_b64":"j060WWx5PkKCpocdT3l0au9cjogIMx2S91LGq/yPV3jQZPofqibtUU8AIDotiBXB6732zpjG8Lk9vtBlUoQRBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78f3342d73f51101a171232f958002d27e9d4c4cd7c16ed81809523a69546c19","last_reissued_at":"2026-07-05T00:18:50.992511Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:18:50.992511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Scalar-Help-Vector Source Coding Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"C. Deng, Q. Zhang, S. Wu","submitted_at":"2019-04-10T13:38:20Z","abstract_excerpt":"In this paper, we consider a scalar-help-vector source coding problem for $L+1$ correlated Gaussian memoryless sources. We deal with the case where $L$ encoders observe noisy linear combinations of $K$ correlated Gaussian scalar sources which work as partial side information at the decoder, while the remaining one encoder observes a vector Gaussian source which works as the primary source we need to reconstruct. We determine an outer region for the case where the $L$ sources are conditionally independent of the vector source. We also show an inner region for a special case when the vector sour"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.05179","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1904.05179/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1904.05179","created_at":"2026-07-05T00:18:50.992564+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.05179v5","created_at":"2026-07-05T00:18:50.992564+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.05179","created_at":"2026-07-05T00:18:50.992564+00:00"},{"alias_kind":"pith_short_12","alias_value":"PDZTILLT6UIQ","created_at":"2026-07-05T00:18:50.992564+00:00"},{"alias_kind":"pith_short_16","alias_value":"PDZTILLT6UIQDILR","created_at":"2026-07-05T00:18:50.992564+00:00"},{"alias_kind":"pith_short_8","alias_value":"PDZTILLT","created_at":"2026-07-05T00:18:50.992564+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PDZTILLT6UIQDILREMXZLAAC2J","json":"https://pith.science/pith/PDZTILLT6UIQDILREMXZLAAC2J.json","graph_json":"https://pith.science/api/pith-number/PDZTILLT6UIQDILREMXZLAAC2J/graph.json","events_json":"https://pith.science/api/pith-number/PDZTILLT6UIQDILREMXZLAAC2J/events.json","paper":"https://pith.science/paper/PDZTILLT"},"agent_actions":{"view_html":"https://pith.science/pith/PDZTILLT6UIQDILREMXZLAAC2J","download_json":"https://pith.science/pith/PDZTILLT6UIQDILREMXZLAAC2J.json","view_paper":"https://pith.science/paper/PDZTILLT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.05179&json=true","fetch_graph":"https://pith.science/api/pith-number/PDZTILLT6UIQDILREMXZLAAC2J/graph.json","fetch_events":"https://pith.science/api/pith-number/PDZTILLT6UIQDILREMXZLAAC2J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PDZTILLT6UIQDILREMXZLAAC2J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PDZTILLT6UIQDILREMXZLAAC2J/action/storage_attestation","attest_author":"https://pith.science/pith/PDZTILLT6UIQDILREMXZLAAC2J/action/author_attestation","sign_citation":"https://pith.science/pith/PDZTILLT6UIQDILREMXZLAAC2J/action/citation_signature","submit_replication":"https://pith.science/pith/PDZTILLT6UIQDILREMXZLAAC2J/action/replication_record"}},"created_at":"2026-07-05T00:18:50.992564+00:00","updated_at":"2026-07-05T00:18:50.992564+00:00"}