{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:TCESH6YHX2HRP56L2OX3EIUIHV","short_pith_number":"pith:TCESH6YH","schema_version":"1.0","canonical_sha256":"988923fb07be8f17f7cbd3afb222883d60295ac475fde5ff876c05706846818f","source":{"kind":"arxiv","id":"1010.3726","version":1},"attestation_state":"computed","paper":{"title":"Cascade, Triangular and Two Way Source Coding with degraded side information at the second user","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Haim Permuter, Tsachy Weissman, Yeow Khiang Chia","submitted_at":"2010-10-18T20:41:15Z","abstract_excerpt":"We consider the Cascade and Triangular rate-distortion problems where the same side information is available at the source node and User 1, and the side information available at User 2 is a degraded version of the side information at the source node and User 1. We characterize the rate-distortion region for these problems. For the Cascade setup, we showed that, at User 1, decoding and re-binning the codeword sent by the source node for User 2 is optimum. We then extend our results to the Two way Cascade and Triangular setting, where the source node is interested in lossy reconstruction of the "},"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":"1010.3726","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-18T20:41:15Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"08086863cce07ee2e8a3d2de8359e1acd072367be8e7d308a758b9391c9f7d4d","abstract_canon_sha256":"b7c5dc69e189fd114011441afb8a4c5de08a7c4aca0d09eea167d1fd08a550cf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:07.703335Z","signature_b64":"byYOuswXSztIU4R8zFMAKaoDirUWcAgEOye1S/i3c4+VCBlQz7dI1OMetD0AEVPCalRI8VAWzwXBhHuxCxnnAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"988923fb07be8f17f7cbd3afb222883d60295ac475fde5ff876c05706846818f","last_reissued_at":"2026-05-18T04:39:07.702758Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:07.702758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cascade, Triangular and Two Way Source Coding with degraded side information at the second user","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Haim Permuter, Tsachy Weissman, Yeow Khiang Chia","submitted_at":"2010-10-18T20:41:15Z","abstract_excerpt":"We consider the Cascade and Triangular rate-distortion problems where the same side information is available at the source node and User 1, and the side information available at User 2 is a degraded version of the side information at the source node and User 1. We characterize the rate-distortion region for these problems. For the Cascade setup, we showed that, at User 1, decoding and re-binning the codeword sent by the source node for User 2 is optimum. We then extend our results to the Two way Cascade and Triangular setting, where the source node is interested in lossy reconstruction of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3726","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1010.3726","created_at":"2026-05-18T04:39:07.702850+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.3726v1","created_at":"2026-05-18T04:39:07.702850+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3726","created_at":"2026-05-18T04:39:07.702850+00:00"},{"alias_kind":"pith_short_12","alias_value":"TCESH6YHX2HR","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"TCESH6YHX2HRP56L","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"TCESH6YH","created_at":"2026-05-18T12:26:13.927090+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/TCESH6YHX2HRP56L2OX3EIUIHV","json":"https://pith.science/pith/TCESH6YHX2HRP56L2OX3EIUIHV.json","graph_json":"https://pith.science/api/pith-number/TCESH6YHX2HRP56L2OX3EIUIHV/graph.json","events_json":"https://pith.science/api/pith-number/TCESH6YHX2HRP56L2OX3EIUIHV/events.json","paper":"https://pith.science/paper/TCESH6YH"},"agent_actions":{"view_html":"https://pith.science/pith/TCESH6YHX2HRP56L2OX3EIUIHV","download_json":"https://pith.science/pith/TCESH6YHX2HRP56L2OX3EIUIHV.json","view_paper":"https://pith.science/paper/TCESH6YH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.3726&json=true","fetch_graph":"https://pith.science/api/pith-number/TCESH6YHX2HRP56L2OX3EIUIHV/graph.json","fetch_events":"https://pith.science/api/pith-number/TCESH6YHX2HRP56L2OX3EIUIHV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TCESH6YHX2HRP56L2OX3EIUIHV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TCESH6YHX2HRP56L2OX3EIUIHV/action/storage_attestation","attest_author":"https://pith.science/pith/TCESH6YHX2HRP56L2OX3EIUIHV/action/author_attestation","sign_citation":"https://pith.science/pith/TCESH6YHX2HRP56L2OX3EIUIHV/action/citation_signature","submit_replication":"https://pith.science/pith/TCESH6YHX2HRP56L2OX3EIUIHV/action/replication_record"}},"created_at":"2026-05-18T04:39:07.702850+00:00","updated_at":"2026-05-18T04:39:07.702850+00:00"}