{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:WWSECF7B7JVOUHPD62PAG4UTQL","short_pith_number":"pith:WWSECF7B","schema_version":"1.0","canonical_sha256":"b5a44117e1fa6aea1de3f69e03729382d05fd8779037fe25c1977a330776441f","source":{"kind":"arxiv","id":"1801.02830","version":1},"attestation_state":"computed","paper":{"title":"Beam domain secure transmission for massive MIMO communications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chengshan Xiao, Wenqian Wu, Xiqi Gao, Yongpeng Wu","submitted_at":"2018-01-09T08:13:28Z","abstract_excerpt":"We investigate the optimality and power allocation algorithm of beam domain transmission for single-cell massive multiple-input multiple-output (MIMO) systems with a multi-antenna passive eavesdropper. Focusing on the secure massive MIMO downlink transmission with only statistical channel state information of legitimate users and the eavesdropper at base station, we introduce a lower bound on the achievable ergodic secrecy sum-rate, from which we derive the condition for eigenvectors of the optimal input covariance matrices. The result shows that beam domain transmission can achieve optimal pe"},"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":"1801.02830","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-09T08:13:28Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"6fa4b0489279f2755af4436e6d2a13ce18133cc413ac649f6b58151e529e1566","abstract_canon_sha256":"42fae0fb90d7fc2160b12df38978ab73dadb6616e3f049d4ba9c9adaa17d99ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:22.311421Z","signature_b64":"Wrs5Yl+510lmxK23B36NJ+8hColEEktHNdMgH0Wijksa93EQHMJPLvhInqmWB6Ij17ATFry3S9Z4xMP1UdMFAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5a44117e1fa6aea1de3f69e03729382d05fd8779037fe25c1977a330776441f","last_reissued_at":"2026-05-18T00:26:22.310851Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:22.310851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Beam domain secure transmission for massive MIMO communications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chengshan Xiao, Wenqian Wu, Xiqi Gao, Yongpeng Wu","submitted_at":"2018-01-09T08:13:28Z","abstract_excerpt":"We investigate the optimality and power allocation algorithm of beam domain transmission for single-cell massive multiple-input multiple-output (MIMO) systems with a multi-antenna passive eavesdropper. Focusing on the secure massive MIMO downlink transmission with only statistical channel state information of legitimate users and the eavesdropper at base station, we introduce a lower bound on the achievable ergodic secrecy sum-rate, from which we derive the condition for eigenvectors of the optimal input covariance matrices. The result shows that beam domain transmission can achieve optimal pe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.02830","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":"1801.02830","created_at":"2026-05-18T00:26:22.310957+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.02830v1","created_at":"2026-05-18T00:26:22.310957+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.02830","created_at":"2026-05-18T00:26:22.310957+00:00"},{"alias_kind":"pith_short_12","alias_value":"WWSECF7B7JVO","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"WWSECF7B7JVOUHPD","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"WWSECF7B","created_at":"2026-05-18T12:33:01.666342+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/WWSECF7B7JVOUHPD62PAG4UTQL","json":"https://pith.science/pith/WWSECF7B7JVOUHPD62PAG4UTQL.json","graph_json":"https://pith.science/api/pith-number/WWSECF7B7JVOUHPD62PAG4UTQL/graph.json","events_json":"https://pith.science/api/pith-number/WWSECF7B7JVOUHPD62PAG4UTQL/events.json","paper":"https://pith.science/paper/WWSECF7B"},"agent_actions":{"view_html":"https://pith.science/pith/WWSECF7B7JVOUHPD62PAG4UTQL","download_json":"https://pith.science/pith/WWSECF7B7JVOUHPD62PAG4UTQL.json","view_paper":"https://pith.science/paper/WWSECF7B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.02830&json=true","fetch_graph":"https://pith.science/api/pith-number/WWSECF7B7JVOUHPD62PAG4UTQL/graph.json","fetch_events":"https://pith.science/api/pith-number/WWSECF7B7JVOUHPD62PAG4UTQL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WWSECF7B7JVOUHPD62PAG4UTQL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WWSECF7B7JVOUHPD62PAG4UTQL/action/storage_attestation","attest_author":"https://pith.science/pith/WWSECF7B7JVOUHPD62PAG4UTQL/action/author_attestation","sign_citation":"https://pith.science/pith/WWSECF7B7JVOUHPD62PAG4UTQL/action/citation_signature","submit_replication":"https://pith.science/pith/WWSECF7B7JVOUHPD62PAG4UTQL/action/replication_record"}},"created_at":"2026-05-18T00:26:22.310957+00:00","updated_at":"2026-05-18T00:26:22.310957+00:00"}