{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HQAWMV2MXHUWOKFGMB4YIB4R2E","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":"5016e67948adb4f7788c89dc645e39864c58d17297f80700de4bf0958a857b1b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-23T16:00:24Z","title_canon_sha256":"4b16d5d5b9741acf738117a01fb93895a86095991fd14a74c908a5cdd0488a65"},"schema_version":"1.0","source":{"id":"1401.6023","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.6023","created_at":"2026-05-18T02:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"1401.6023v3","created_at":"2026-05-18T02:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6023","created_at":"2026-05-18T02:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"HQAWMV2MXHUW","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HQAWMV2MXHUWOKFG","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HQAWMV2M","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:452778b5ffcfe42d316b8bf60bae481487951ccc7ecc83fb49c7e3d82134914c","target":"graph","created_at":"2026-05-18T02:03:55Z","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 paper, we take a unified approach for network information theory and prove a coding theorem, which can recover most of the achievability results in network information theory that are based on random coding. The final single-letter expression has a very simple form, which was made possible by many novel elements such as a unified framework that represents various network problems in a simple and unified way, a unified coding strategy that consists of a few basic ingredients but can emulate many known coding techniques if needed, and new proof techniques beyond the use of standard cover","authors_text":"Sae-Young Chung, Si-Hyeon Lee","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-23T16:00:24Z","title":"A Unified Approach for Network Information Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6023","kind":"arxiv","version":3},"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":"sha256:3ef022eb40f6255b9a546b1f5ceee1822ad0e8ef5a2e71097fad1f66e0ad6a74","target":"record","created_at":"2026-05-18T02:03:55Z","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":"5016e67948adb4f7788c89dc645e39864c58d17297f80700de4bf0958a857b1b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-23T16:00:24Z","title_canon_sha256":"4b16d5d5b9741acf738117a01fb93895a86095991fd14a74c908a5cdd0488a65"},"schema_version":"1.0","source":{"id":"1401.6023","kind":"arxiv","version":3}},"canonical_sha256":"3c0166574cb9e96728a66079840791d1182a4ab5ba0f7ed6bc34d95cc1717edd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c0166574cb9e96728a66079840791d1182a4ab5ba0f7ed6bc34d95cc1717edd","first_computed_at":"2026-05-18T02:03:55.702850Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:55.702850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rr6RP21kijgMzvb169Of/21OA2xL6NULQkAwnpPZ2PEMMxtI3jmaozztMoLCARB0x3f1z1VECZb49bPuYBPQDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:55.703477Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.6023","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ef022eb40f6255b9a546b1f5ceee1822ad0e8ef5a2e71097fad1f66e0ad6a74","sha256:452778b5ffcfe42d316b8bf60bae481487951ccc7ecc83fb49c7e3d82134914c"],"state_sha256":"94be4efe32c7859b6a9e6127e6ebc47786d9663bdb5b65d63d12b85fccf44768"}