{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:M6XTJ65J3HGC6LBM2IRKIPDA56","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":"803c65a514189524406198fdfaef730db2a2e05d3c1502fd58e403f8feef28b6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-10-01T18:08:35Z","title_canon_sha256":"bfbb06ff9be4c05aa584feb36d63ee4f8c5888744e11ff27c2234fc329d27d6d"},"schema_version":"1.0","source":{"id":"1210.0490","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.0490","created_at":"2026-05-18T03:42:45Z"},{"alias_kind":"arxiv_version","alias_value":"1210.0490v2","created_at":"2026-05-18T03:42:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0490","created_at":"2026-05-18T03:42:45Z"},{"alias_kind":"pith_short_12","alias_value":"M6XTJ65J3HGC","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"M6XTJ65J3HGC6LBM","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"M6XTJ65J","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:29844a7be2bae08799d626c8d6d5c690183a23a9129e13bdc06668cd54445c8b","target":"graph","created_at":"2026-05-18T03:42:45Z","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":"We consider the two user wireless Multiple Access Relay Channel (MARC), in which nodes $A$ and $B$ want to transmit messages to a destination node $D$ with the help of a relay node $R$. For the MARC, Wang and Giannakis proposed a Complex Field Network Coding (CFNC) scheme. As an alternative, we propose a scheme based on Physical layer Network Coding (PNC), which has so far been studied widely only in the context of two-way relaying. For the proposed PNC scheme, transmission takes place in two phases: (i) Phase 1 during which $A$ and $B$ simultaneously transmit and, $R$ and $D$ receive, (ii) Ph","authors_text":"B. Sundar Rajan, Vijayvaradharaj T. Muralidharan","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-10-01T18:08:35Z","title":"Physical Layer Network Coding for the Multiple Access Relay Channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0490","kind":"arxiv","version":2},"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:b295bcb0cfe86e9234a72488737d58573c59258550db81d9c3c084817638d254","target":"record","created_at":"2026-05-18T03:42:45Z","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":"803c65a514189524406198fdfaef730db2a2e05d3c1502fd58e403f8feef28b6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-10-01T18:08:35Z","title_canon_sha256":"bfbb06ff9be4c05aa584feb36d63ee4f8c5888744e11ff27c2234fc329d27d6d"},"schema_version":"1.0","source":{"id":"1210.0490","kind":"arxiv","version":2}},"canonical_sha256":"67af34fba9d9cc2f2c2cd222a43c60ef81dfde9c10c9d807b37f9713ef9374cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67af34fba9d9cc2f2c2cd222a43c60ef81dfde9c10c9d807b37f9713ef9374cf","first_computed_at":"2026-05-18T03:42:45.828728Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:45.828728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z8tNryeYAYibp0hDtXcgLkG6ChCfB4QNn4VDEH6U6tK9H+5fYs5XaS23P8XT95yxDCH6zqFdRw9kvLqJD7cBAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:45.829202Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.0490","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b295bcb0cfe86e9234a72488737d58573c59258550db81d9c3c084817638d254","sha256:29844a7be2bae08799d626c8d6d5c690183a23a9129e13bdc06668cd54445c8b"],"state_sha256":"ef144fbfcbab902fafc598b0faff8f730932027ab7e2b0c1ebb01a88d9ac7154"}