{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:J2BP3ESZMRVT6SXKCHMR3F56Z4","short_pith_number":"pith:J2BP3ESZ","schema_version":"1.0","canonical_sha256":"4e82fd9259646b3f4aea11d91d97becf20a8a5044bf39e4989f04fa2d6e0cf42","source":{"kind":"arxiv","id":"1607.01598","version":1},"attestation_state":"computed","paper":{"title":"Multipair Two-way Half-Duplex Relaying with Massive Arrays and Imperfect CSI","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Caijun Zhong, Chuili Kong, Emil Bj\\\"ornson, Michail Matthaiou, Zhaoyang Zhang","submitted_at":"2016-07-06T12:52:40Z","abstract_excerpt":"We consider a two-way half-duplex relaying system where multiple pairs of single antenna users exchange information assisted by a multi-antenna relay. Taking into account the practical constraint of imperfect channel estimation, we study the achievable sum spectral efficiency of the amplify-and-forward (AF) and decode-and-forward (DF) protocols, assuming that the relay employs simple maximum ratio processing. We derive an exact closed-form expression for the sum spectral efficiency of the AF protocol and a large-scale approximation for the sum spectral efficiency of the DF protocol when the nu"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1607.01598","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-06T12:52:40Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"435bdb5fdba0b90c5e89fc0935d7f3e00777c41a813ca14f74a3015669d964d5","abstract_canon_sha256":"731bc55554ffcf83bc010ef55473be7dabb8647b7352d1bdcf966f9f5c4dbf6f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:25.863820Z","signature_b64":"2bZLd4TFZTy84ooBaoQseISayb3YurrWxDTFtookMhrPGKAzQqBifrALEMqqegUmtwpIvFThmUS9NtsYDNO8Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e82fd9259646b3f4aea11d91d97becf20a8a5044bf39e4989f04fa2d6e0cf42","last_reissued_at":"2026-05-18T01:11:25.863383Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:25.863383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multipair Two-way Half-Duplex Relaying with Massive Arrays and Imperfect CSI","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Caijun Zhong, Chuili Kong, Emil Bj\\\"ornson, Michail Matthaiou, Zhaoyang Zhang","submitted_at":"2016-07-06T12:52:40Z","abstract_excerpt":"We consider a two-way half-duplex relaying system where multiple pairs of single antenna users exchange information assisted by a multi-antenna relay. Taking into account the practical constraint of imperfect channel estimation, we study the achievable sum spectral efficiency of the amplify-and-forward (AF) and decode-and-forward (DF) protocols, assuming that the relay employs simple maximum ratio processing. We derive an exact closed-form expression for the sum spectral efficiency of the AF protocol and a large-scale approximation for the sum spectral efficiency of the DF protocol when the nu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01598","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1607.01598","created_at":"2026-05-18T01:11:25.863450+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.01598v1","created_at":"2026-05-18T01:11:25.863450+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01598","created_at":"2026-05-18T01:11:25.863450+00:00"},{"alias_kind":"pith_short_12","alias_value":"J2BP3ESZMRVT","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"J2BP3ESZMRVT6SXK","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"J2BP3ESZ","created_at":"2026-05-18T12:30:22.444734+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/J2BP3ESZMRVT6SXKCHMR3F56Z4","json":"https://pith.science/pith/J2BP3ESZMRVT6SXKCHMR3F56Z4.json","graph_json":"https://pith.science/api/pith-number/J2BP3ESZMRVT6SXKCHMR3F56Z4/graph.json","events_json":"https://pith.science/api/pith-number/J2BP3ESZMRVT6SXKCHMR3F56Z4/events.json","paper":"https://pith.science/paper/J2BP3ESZ"},"agent_actions":{"view_html":"https://pith.science/pith/J2BP3ESZMRVT6SXKCHMR3F56Z4","download_json":"https://pith.science/pith/J2BP3ESZMRVT6SXKCHMR3F56Z4.json","view_paper":"https://pith.science/paper/J2BP3ESZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.01598&json=true","fetch_graph":"https://pith.science/api/pith-number/J2BP3ESZMRVT6SXKCHMR3F56Z4/graph.json","fetch_events":"https://pith.science/api/pith-number/J2BP3ESZMRVT6SXKCHMR3F56Z4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J2BP3ESZMRVT6SXKCHMR3F56Z4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J2BP3ESZMRVT6SXKCHMR3F56Z4/action/storage_attestation","attest_author":"https://pith.science/pith/J2BP3ESZMRVT6SXKCHMR3F56Z4/action/author_attestation","sign_citation":"https://pith.science/pith/J2BP3ESZMRVT6SXKCHMR3F56Z4/action/citation_signature","submit_replication":"https://pith.science/pith/J2BP3ESZMRVT6SXKCHMR3F56Z4/action/replication_record"}},"created_at":"2026-05-18T01:11:25.863450+00:00","updated_at":"2026-05-18T01:11:25.863450+00:00"}