{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FD4GNV7WV4HAHR7E4M7FYYX4JE","short_pith_number":"pith:FD4GNV7W","canonical_record":{"source":{"id":"1303.1201","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-05T22:11:50Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"c3dab6726e9c44cc209b210f5d4cdbbaf2025e551ebe8543354ec14fddbaa2ad","abstract_canon_sha256":"76ccd2f6c463e59d1bf7cb059fecd56528b2992d998ff284bf531ff8279e511e"},"schema_version":"1.0"},"canonical_sha256":"28f866d7f6af0e03c7e4e33e5c62fc4909bd85f83da3161108ada606c6e7a38f","source":{"kind":"arxiv","id":"1303.1201","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1201","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1201v1","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1201","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"pith_short_12","alias_value":"FD4GNV7WV4HA","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FD4GNV7WV4HAHR7E","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FD4GNV7W","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FD4GNV7WV4HAHR7E4M7FYYX4JE","target":"record","payload":{"canonical_record":{"source":{"id":"1303.1201","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-05T22:11:50Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"c3dab6726e9c44cc209b210f5d4cdbbaf2025e551ebe8543354ec14fddbaa2ad","abstract_canon_sha256":"76ccd2f6c463e59d1bf7cb059fecd56528b2992d998ff284bf531ff8279e511e"},"schema_version":"1.0"},"canonical_sha256":"28f866d7f6af0e03c7e4e33e5c62fc4909bd85f83da3161108ada606c6e7a38f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:56.530501Z","signature_b64":"k38n1q3Al9vkqa/whEVBX8ccCLl5TVXWpLMV6e+cOfU7tAMWAl1BDwfdRNUi3cXI2akJtRsHdJorb5M3G2HtBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28f866d7f6af0e03c7e4e33e5c62fc4909bd85f83da3161108ada606c6e7a38f","last_reissued_at":"2026-05-18T00:57:56.530089Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:56.530089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.1201","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:57:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hhDbH+9zLcTyiSz/umZfPeG1DJA8bDNSPY65QdvwIKhqVP5oECY4F0KD+sXe6n28ER+GmWTWSoBXzxmIG1VbBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:15:34.069678Z"},"content_sha256":"9bd1668fc95d0276cbacfe34a9ce2dbb3911231c6b47b5ab22ab578084220bd1","schema_version":"1.0","event_id":"sha256:9bd1668fc95d0276cbacfe34a9ce2dbb3911231c6b47b5ab22ab578084220bd1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FD4GNV7WV4HAHR7E4M7FYYX4JE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-Pair Amplify-and-Forward Relaying with Very Large Antenna Arrays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chau Yuen, Erik G. Larsson, Hien Quoc Ngo, Himal A. Suraweera, Trung Q. Duong","submitted_at":"2013-03-05T22:11:50Z","abstract_excerpt":"We consider a multi-pair relay channel where multiple sources simultaneously communicate with destinations using a relay. Each source or destination has only a single antenna, while the relay is equipped with a very large antenna array. We investigate the power efficiency of this system when maximum ratio combining/maximal ratio transmission (MRC/MRT) or zero-forcing (ZF) processing is used at the relay. Using a very large array, the transmit power of each source or relay (or both) can be made inversely proportional to the number of relay antennas while maintaining a given quality-of-service. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1201","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:57:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZI9LPYxFccFSNzs0xa93VUGlfPT3vYLHMhQpsLc+dlWDRAziL1KuJktG7VL4GP8ZrmS+5PxzBod9jVp3X5fOCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:15:34.070420Z"},"content_sha256":"017a29915c9a52266655d16779907b122b4a7647a2bf085717b07357d9376b13","schema_version":"1.0","event_id":"sha256:017a29915c9a52266655d16779907b122b4a7647a2bf085717b07357d9376b13"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FD4GNV7WV4HAHR7E4M7FYYX4JE/bundle.json","state_url":"https://pith.science/pith/FD4GNV7WV4HAHR7E4M7FYYX4JE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FD4GNV7WV4HAHR7E4M7FYYX4JE/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T20:15:34Z","links":{"resolver":"https://pith.science/pith/FD4GNV7WV4HAHR7E4M7FYYX4JE","bundle":"https://pith.science/pith/FD4GNV7WV4HAHR7E4M7FYYX4JE/bundle.json","state":"https://pith.science/pith/FD4GNV7WV4HAHR7E4M7FYYX4JE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FD4GNV7WV4HAHR7E4M7FYYX4JE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FD4GNV7WV4HAHR7E4M7FYYX4JE","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":"76ccd2f6c463e59d1bf7cb059fecd56528b2992d998ff284bf531ff8279e511e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-05T22:11:50Z","title_canon_sha256":"c3dab6726e9c44cc209b210f5d4cdbbaf2025e551ebe8543354ec14fddbaa2ad"},"schema_version":"1.0","source":{"id":"1303.1201","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1201","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1201v1","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1201","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"pith_short_12","alias_value":"FD4GNV7WV4HA","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FD4GNV7WV4HAHR7E","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FD4GNV7W","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:017a29915c9a52266655d16779907b122b4a7647a2bf085717b07357d9376b13","target":"graph","created_at":"2026-05-18T00:57:56Z","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 a multi-pair relay channel where multiple sources simultaneously communicate with destinations using a relay. Each source or destination has only a single antenna, while the relay is equipped with a very large antenna array. We investigate the power efficiency of this system when maximum ratio combining/maximal ratio transmission (MRC/MRT) or zero-forcing (ZF) processing is used at the relay. Using a very large array, the transmit power of each source or relay (or both) can be made inversely proportional to the number of relay antennas while maintaining a given quality-of-service. ","authors_text":"Chau Yuen, Erik G. Larsson, Hien Quoc Ngo, Himal A. Suraweera, Trung Q. Duong","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-05T22:11:50Z","title":"Multi-Pair Amplify-and-Forward Relaying with Very Large Antenna Arrays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1201","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":"sha256:9bd1668fc95d0276cbacfe34a9ce2dbb3911231c6b47b5ab22ab578084220bd1","target":"record","created_at":"2026-05-18T00:57:56Z","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":"76ccd2f6c463e59d1bf7cb059fecd56528b2992d998ff284bf531ff8279e511e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-05T22:11:50Z","title_canon_sha256":"c3dab6726e9c44cc209b210f5d4cdbbaf2025e551ebe8543354ec14fddbaa2ad"},"schema_version":"1.0","source":{"id":"1303.1201","kind":"arxiv","version":1}},"canonical_sha256":"28f866d7f6af0e03c7e4e33e5c62fc4909bd85f83da3161108ada606c6e7a38f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28f866d7f6af0e03c7e4e33e5c62fc4909bd85f83da3161108ada606c6e7a38f","first_computed_at":"2026-05-18T00:57:56.530089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:56.530089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k38n1q3Al9vkqa/whEVBX8ccCLl5TVXWpLMV6e+cOfU7tAMWAl1BDwfdRNUi3cXI2akJtRsHdJorb5M3G2HtBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:56.530501Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.1201","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9bd1668fc95d0276cbacfe34a9ce2dbb3911231c6b47b5ab22ab578084220bd1","sha256:017a29915c9a52266655d16779907b122b4a7647a2bf085717b07357d9376b13"],"state_sha256":"2a031897d8398fa915b1c17cb4fe49b315be713b51f989563386319572b9acad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hAKPihgicyRKz7tRbnjhTgMCln/4zezd/JWObl6rkv+rCnsd3cMCjkCwTZETKdQ8NT9u26gQjNLdMG87nJWFAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T20:15:34.074232Z","bundle_sha256":"1e10dce1ea0eeba394672f7b15d6b96cd7e139ab9140db7c02a0a87dbd3847be"}}