{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SD7LR2HCKTOTJRXR7MBOOSUX3E","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":"5bd44e6d4bffd5f31ef8ddee5f8ba41d8761dc47a89363d35c05f99439c9e7fd","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-08-20T11:36:53Z","title_canon_sha256":"50340c6732fed645eb9f6d7d886ee29802e984f9122be03a316a69cc514e82ea"},"schema_version":"1.0","source":{"id":"1208.3984","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3984","created_at":"2026-05-18T03:48:25Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3984v1","created_at":"2026-05-18T03:48:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3984","created_at":"2026-05-18T03:48:25Z"},{"alias_kind":"pith_short_12","alias_value":"SD7LR2HCKTOT","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SD7LR2HCKTOTJRXR","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SD7LR2HC","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:b85424823ec9d600ce9c0005438f00b042945ff0ff2c89f5e2821fae0826f8f8","target":"graph","created_at":"2026-05-18T03:48:25Z","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 the cognitive interference channel with a common message, a variation of the classical cognitive interference channel in which the cognitive message is decoded at both receivers, is studied. For this channel model new outer and inner bounds are developed as well as new capacity results for both the discrete memoryless and the Gaussian case. The outer bounds are derived using bounding techniques originally developed by Sato for the classical interference channel and Nair and El Gamal for the broadcast channel. A general inner bound is obtained combining rate-splitting, superpositi","authors_text":"Carolin Huppert, Stefano Rini","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-08-20T11:36:53Z","title":"On the Capacity of the Cognitive Interference Channel with a Common Cognitive Message"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3984","kind":"arxiv","version":1},"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":"sha256:1abc564b8aacbcf88368b747ed5bdec7515420aeaff50113380904ef73ef01c1","target":"record","created_at":"2026-05-18T03:48:25Z","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":"5bd44e6d4bffd5f31ef8ddee5f8ba41d8761dc47a89363d35c05f99439c9e7fd","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-08-20T11:36:53Z","title_canon_sha256":"50340c6732fed645eb9f6d7d886ee29802e984f9122be03a316a69cc514e82ea"},"schema_version":"1.0","source":{"id":"1208.3984","kind":"arxiv","version":1}},"canonical_sha256":"90feb8e8e254dd34c6f1fb02e74a97d93c9c227f0eb689a17600eb06f667c068","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90feb8e8e254dd34c6f1fb02e74a97d93c9c227f0eb689a17600eb06f667c068","first_computed_at":"2026-05-18T03:48:25.553522Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:25.553522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aRimWnBn0mTr93e6LAwowR7Jv/xzh+BDLm1ptnsUt9Ha5GNV9Sdti5W4ixacmLV2ZnfP53pIB3r0tyZLsdZvAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:25.554343Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3984","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1abc564b8aacbcf88368b747ed5bdec7515420aeaff50113380904ef73ef01c1","sha256:b85424823ec9d600ce9c0005438f00b042945ff0ff2c89f5e2821fae0826f8f8"],"state_sha256":"55f0dd4fcfbaf2848307a6e2f704d0132f9b1c598e0e89a2059b1a882f5ad0be"}