{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:I3BXQ2IPZM6UE5WIOF3YZRU2AV","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":"2c519910bfe5454c681ec89aa2500f97385857425e1d5bf55626328995b959a3","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-04-25T20:36:06Z","title_canon_sha256":"88cfedbacb1bb49ac90be54205ee0de84e5d22271bff275c342ca2fdc9779828"},"schema_version":"1.0","source":{"id":"1104.4805","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4805","created_at":"2026-05-18T02:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4805v3","created_at":"2026-05-18T02:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4805","created_at":"2026-05-18T02:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"I3BXQ2IPZM6U","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"I3BXQ2IPZM6UE5WI","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"I3BXQ2IP","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:af6816a9b8c436811788f3da49b0137de7b1a3030efdf8ad3203e97ee4dfb9e3","target":"graph","created_at":"2026-05-18T02:22:00Z","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 study the impact of different channel output feedback architectures on the capacity of the two-user interference channel. For a two-user interference channel, a feedback link can exist between receivers and transmitters in 9 canonical architectures (see Fig. 2), ranging from only one feedback link to four feedback links. We derive the exact capacity region for the symmetric deterministic interference channel and the constant-gap capacity region for the symmetric Gaussian interference channel for all of the 9 architectures. We show that for a linear deterministic symmetric int","authors_text":"Achaleshwar Sahai, Ashutosh Sabharwal, Melda Yuksel, Vaneet Aggarwal","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-04-25T20:36:06Z","title":"Capacity of All Nine Models of Channel Output Feedback for the Two-user Interference Channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4805","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":"sha256:50c2bd772340511b3fb6d1ce5ea0c90703c69a6df332f50add7498cc16565126","target":"record","created_at":"2026-05-18T02:22:00Z","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":"2c519910bfe5454c681ec89aa2500f97385857425e1d5bf55626328995b959a3","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-04-25T20:36:06Z","title_canon_sha256":"88cfedbacb1bb49ac90be54205ee0de84e5d22271bff275c342ca2fdc9779828"},"schema_version":"1.0","source":{"id":"1104.4805","kind":"arxiv","version":3}},"canonical_sha256":"46c378690fcb3d4276c871778cc69a0574b17a7fd0a883c0cc436f3544358250","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46c378690fcb3d4276c871778cc69a0574b17a7fd0a883c0cc436f3544358250","first_computed_at":"2026-05-18T02:22:00.949540Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:00.949540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ij2Lh/3nnsSBhKFI0uIt42glY2UAAAJaRelg6mhZMyf6FTsOPtQ2n0a5qT/4YKukQCvXuiz2IngpmShOI+CYDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:00.950182Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.4805","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50c2bd772340511b3fb6d1ce5ea0c90703c69a6df332f50add7498cc16565126","sha256:af6816a9b8c436811788f3da49b0137de7b1a3030efdf8ad3203e97ee4dfb9e3"],"state_sha256":"6c3baaeb744d3d3fc8c5c803c749a74086b17ef120dee75760278489a3d15b63"}