{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:FOB2WOFDTAUBQ7YMFNQZ4RIFQX","short_pith_number":"pith:FOB2WOFD","schema_version":"1.0","canonical_sha256":"2b83ab38a39828187f0c2b619e450585db99efefcea1137a637a3b8895ef0ffb","source":{"kind":"arxiv","id":"2507.17432","version":2},"attestation_state":"computed","paper":{"title":"Non-Asymptotic Achievable Rate-Distortion Region for Indirect Wyner-Ziv Source Coding","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Elsa Dupraz, Jiahui Wei, Philippe Mary","submitted_at":"2025-07-23T11:42:58Z","abstract_excerpt":"In the Wyner-Ziv source coding problem, a source $X$ has to be encoded while the decoder has access to side information $Y$. This paper investigates the indirect setup, in which a latent source $S$, unobserved by both the encoder and the decoder, must also be reconstructed at the decoder. This scenario is increasingly relevant in the context of goal-oriented communications, where $S$ can represent semantic information obtained from $X$. This paper derives the indirect Wyner-Ziv rate-distortion function in asymptotic regime and provides an achievable region in finite block-length. Furthermore, "},"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":"2507.17432","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.IT","submitted_at":"2025-07-23T11:42:58Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"6915b8c56ccd41d09e79856f1f9bebd68904b6244a5c853e4a2d191ec78a4a0d","abstract_canon_sha256":"9cd45d3e8f06aa4648e3c745e833fb2a906fe814dd22563800926232da72c2b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:42:34.109060Z","signature_b64":"SEgA1FyeibTk8mLzt/yn8L90QK3/2EVYZbkDeJE2fCzIddGv6ytzd395XPRjifMhv0fD8dqYqhLHpaYORd2hDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b83ab38a39828187f0c2b619e450585db99efefcea1137a637a3b8895ef0ffb","last_reissued_at":"2026-07-05T11:42:34.108632Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:42:34.108632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Asymptotic Achievable Rate-Distortion Region for Indirect Wyner-Ziv Source Coding","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Elsa Dupraz, Jiahui Wei, Philippe Mary","submitted_at":"2025-07-23T11:42:58Z","abstract_excerpt":"In the Wyner-Ziv source coding problem, a source $X$ has to be encoded while the decoder has access to side information $Y$. This paper investigates the indirect setup, in which a latent source $S$, unobserved by both the encoder and the decoder, must also be reconstructed at the decoder. This scenario is increasingly relevant in the context of goal-oriented communications, where $S$ can represent semantic information obtained from $X$. This paper derives the indirect Wyner-Ziv rate-distortion function in asymptotic regime and provides an achievable region in finite block-length. Furthermore, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.17432","kind":"arxiv","version":2},"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/2507.17432/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":"2507.17432","created_at":"2026-07-05T11:42:34.108695+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.17432v2","created_at":"2026-07-05T11:42:34.108695+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.17432","created_at":"2026-07-05T11:42:34.108695+00:00"},{"alias_kind":"pith_short_12","alias_value":"FOB2WOFDTAUB","created_at":"2026-07-05T11:42:34.108695+00:00"},{"alias_kind":"pith_short_16","alias_value":"FOB2WOFDTAUBQ7YM","created_at":"2026-07-05T11:42:34.108695+00:00"},{"alias_kind":"pith_short_8","alias_value":"FOB2WOFD","created_at":"2026-07-05T11:42:34.108695+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/FOB2WOFDTAUBQ7YMFNQZ4RIFQX","json":"https://pith.science/pith/FOB2WOFDTAUBQ7YMFNQZ4RIFQX.json","graph_json":"https://pith.science/api/pith-number/FOB2WOFDTAUBQ7YMFNQZ4RIFQX/graph.json","events_json":"https://pith.science/api/pith-number/FOB2WOFDTAUBQ7YMFNQZ4RIFQX/events.json","paper":"https://pith.science/paper/FOB2WOFD"},"agent_actions":{"view_html":"https://pith.science/pith/FOB2WOFDTAUBQ7YMFNQZ4RIFQX","download_json":"https://pith.science/pith/FOB2WOFDTAUBQ7YMFNQZ4RIFQX.json","view_paper":"https://pith.science/paper/FOB2WOFD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.17432&json=true","fetch_graph":"https://pith.science/api/pith-number/FOB2WOFDTAUBQ7YMFNQZ4RIFQX/graph.json","fetch_events":"https://pith.science/api/pith-number/FOB2WOFDTAUBQ7YMFNQZ4RIFQX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FOB2WOFDTAUBQ7YMFNQZ4RIFQX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FOB2WOFDTAUBQ7YMFNQZ4RIFQX/action/storage_attestation","attest_author":"https://pith.science/pith/FOB2WOFDTAUBQ7YMFNQZ4RIFQX/action/author_attestation","sign_citation":"https://pith.science/pith/FOB2WOFDTAUBQ7YMFNQZ4RIFQX/action/citation_signature","submit_replication":"https://pith.science/pith/FOB2WOFDTAUBQ7YMFNQZ4RIFQX/action/replication_record"}},"created_at":"2026-07-05T11:42:34.108695+00:00","updated_at":"2026-07-05T11:42:34.108695+00:00"}