{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:5KPGTPVQV2W4G2MQNKWLGTWGT6","short_pith_number":"pith:5KPGTPVQ","schema_version":"1.0","canonical_sha256":"ea9e69beb0aeadc369906aacb34ec69faa0e3fdf628abe9ede5fcf138b2089b7","source":{"kind":"arxiv","id":"1508.04227","version":2},"attestation_state":"computed","paper":{"title":"Second-Order Region for Gray-Wyner Network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Shun Watanabe","submitted_at":"2015-08-18T06:37:32Z","abstract_excerpt":"The coding problem over the Gray-Wyner network is studied from the second-order coding rates perspective. A tilted information density for this network is introduced in the spirit of Kostina-Verd\\'u, and, under a certain regularity condition, the second-order region is characterized in terms of the variance of this tilted information density and the tangent vector of the first-order region. The second-order region is proved by the type method: the achievability part is proved by the type-covering argument, and the converse part is proved by a refinement of the perturbation approach that was us"},"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":"1508.04227","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-08-18T06:37:32Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"d11bc2603778b646d710334812d7047aa8c93cde00a9e5d8213822c88c3fda5e","abstract_canon_sha256":"bd69ed44c93bacd7027abbd42dca428a04247d11badf4bb0ebb888304ef5cae4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:49.733498Z","signature_b64":"c+Kkk44fD4ZHkekJt09T6iIYLqAs6VpXe4EUPK1emQCWdvhh2I+Ix9DIzK/NE1FqL03n8BysEpDIXXfOE9rkCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea9e69beb0aeadc369906aacb34ec69faa0e3fdf628abe9ede5fcf138b2089b7","last_reissued_at":"2026-05-18T00:46:49.732962Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:49.732962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Second-Order Region for Gray-Wyner Network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Shun Watanabe","submitted_at":"2015-08-18T06:37:32Z","abstract_excerpt":"The coding problem over the Gray-Wyner network is studied from the second-order coding rates perspective. A tilted information density for this network is introduced in the spirit of Kostina-Verd\\'u, and, under a certain regularity condition, the second-order region is characterized in terms of the variance of this tilted information density and the tangent vector of the first-order region. The second-order region is proved by the type method: the achievability part is proved by the type-covering argument, and the converse part is proved by a refinement of the perturbation approach that was us"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.04227","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":""},"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":"1508.04227","created_at":"2026-05-18T00:46:49.733041+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.04227v2","created_at":"2026-05-18T00:46:49.733041+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.04227","created_at":"2026-05-18T00:46:49.733041+00:00"},{"alias_kind":"pith_short_12","alias_value":"5KPGTPVQV2W4","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"5KPGTPVQV2W4G2MQ","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"5KPGTPVQ","created_at":"2026-05-18T12:29:05.191682+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/5KPGTPVQV2W4G2MQNKWLGTWGT6","json":"https://pith.science/pith/5KPGTPVQV2W4G2MQNKWLGTWGT6.json","graph_json":"https://pith.science/api/pith-number/5KPGTPVQV2W4G2MQNKWLGTWGT6/graph.json","events_json":"https://pith.science/api/pith-number/5KPGTPVQV2W4G2MQNKWLGTWGT6/events.json","paper":"https://pith.science/paper/5KPGTPVQ"},"agent_actions":{"view_html":"https://pith.science/pith/5KPGTPVQV2W4G2MQNKWLGTWGT6","download_json":"https://pith.science/pith/5KPGTPVQV2W4G2MQNKWLGTWGT6.json","view_paper":"https://pith.science/paper/5KPGTPVQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.04227&json=true","fetch_graph":"https://pith.science/api/pith-number/5KPGTPVQV2W4G2MQNKWLGTWGT6/graph.json","fetch_events":"https://pith.science/api/pith-number/5KPGTPVQV2W4G2MQNKWLGTWGT6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5KPGTPVQV2W4G2MQNKWLGTWGT6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5KPGTPVQV2W4G2MQNKWLGTWGT6/action/storage_attestation","attest_author":"https://pith.science/pith/5KPGTPVQV2W4G2MQNKWLGTWGT6/action/author_attestation","sign_citation":"https://pith.science/pith/5KPGTPVQV2W4G2MQNKWLGTWGT6/action/citation_signature","submit_replication":"https://pith.science/pith/5KPGTPVQV2W4G2MQNKWLGTWGT6/action/replication_record"}},"created_at":"2026-05-18T00:46:49.733041+00:00","updated_at":"2026-05-18T00:46:49.733041+00:00"}