{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YR7YNX3MEIBB2PB7LNBT2NCCWA","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":"d22676966ba2e74544aa4c2d22e3019e70e4a52993b04704c5afc62b5cd3cc08","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-04-01T10:39:09Z","title_canon_sha256":"cabd6a88398db43d9a6b1938c2bc4c43f6b1ef81f78aed00a2c3fbbf36db085c"},"schema_version":"1.0","source":{"id":"1104.0136","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0136","created_at":"2026-05-18T04:25:12Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0136v1","created_at":"2026-05-18T04:25:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0136","created_at":"2026-05-18T04:25:12Z"},{"alias_kind":"pith_short_12","alias_value":"YR7YNX3MEIBB","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YR7YNX3MEIBB2PB7","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YR7YNX3M","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:57736125bb1c080ee3cb721ce588186f1ec6ba4c8bc40fbc39598e7749c5c8e7","target":"graph","created_at":"2026-05-18T04:25:12Z","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 uplink of a cellular system using the linear deterministic approximation model, where there are two users transmitting to a receiver, mutually interfering with a third transmitter communicating with a second receiver. We give an achievable coding scheme and prove its optimality, i.e. characterize the capacity region. This scheme is a form of interference alignment which exploits the channel gain difference of the two-user cell.","authors_text":"G. Wunder, J. Buehler","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-04-01T10:39:09Z","title":"On Interference Alignment and the Deterministic Capacity for Cellular Channels with Weak Symmetric Cross Links"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0136","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:b0be527f57e78ad1ecb0c1df3cd81a64ccb085490e71b1397861dbfe189f6d4c","target":"record","created_at":"2026-05-18T04:25:12Z","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":"d22676966ba2e74544aa4c2d22e3019e70e4a52993b04704c5afc62b5cd3cc08","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-04-01T10:39:09Z","title_canon_sha256":"cabd6a88398db43d9a6b1938c2bc4c43f6b1ef81f78aed00a2c3fbbf36db085c"},"schema_version":"1.0","source":{"id":"1104.0136","kind":"arxiv","version":1}},"canonical_sha256":"c47f86df6c22021d3c3f5b433d3442b00e785b94d6fa05465149dbbd87668e58","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c47f86df6c22021d3c3f5b433d3442b00e785b94d6fa05465149dbbd87668e58","first_computed_at":"2026-05-18T04:25:12.302604Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:12.302604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9hiClB58wf3V5TPYp4wUtpxWkkh+fXJ1Sh/gRJ2MEiy08cK1QhcrD6WvEzg2C0xo5AYmT9X2nM2Us8Roy2/XCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:12.303144Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.0136","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0be527f57e78ad1ecb0c1df3cd81a64ccb085490e71b1397861dbfe189f6d4c","sha256:57736125bb1c080ee3cb721ce588186f1ec6ba4c8bc40fbc39598e7749c5c8e7"],"state_sha256":"fdbe0bd8e29cf7684d6bddd828d4622dea49d743d5682b750ff508d0fef07208"}