{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SOECTW6ZG5WJANFGIIBJ3CL34Y","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":"4df03b8b851b4f76602dc3be5375c3607ba90f54eba68f2857138dd1ef3629ff","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-04-26T07:09:03Z","title_canon_sha256":"27f2b4a54b657d0ee569947268867ef2ee1cc72465f2db7450257e65cfd428ea"},"schema_version":"1.0","source":{"id":"1704.07988","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.07988","created_at":"2026-05-18T00:45:31Z"},{"alias_kind":"arxiv_version","alias_value":"1704.07988v1","created_at":"2026-05-18T00:45:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.07988","created_at":"2026-05-18T00:45:31Z"},{"alias_kind":"pith_short_12","alias_value":"SOECTW6ZG5WJ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SOECTW6ZG5WJANFG","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SOECTW6Z","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:624ce25b0af0e034256ca9bf7f9cfcf42a2fa077a29217ad440c1e9a8744415f","target":"graph","created_at":"2026-05-18T00:45:31Z","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":"Millimeter-wave (mmWave) communications have been considered as a key technology for future 5G wireless networks because of the orders-of-magnitude wider bandwidth than current cellular bands. In this paper, we consider the problem of codebook-based joint analog-digital hybrid precoder and combiner design for spatial multiplexing transmission in a mmWave multiple-input multiple-output (MIMO) system. We propose to jointly select analog precoder and combiner pair for each data stream successively aiming at maximizing the channel gain while suppressing the interference between different data stre","authors_text":"Ming Li, Qian Liu, Xiaowen Tian, Zihuan Wang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-04-26T07:09:03Z","title":"Joint Hybrid Precoder and Combiner Design for mmWave Spatial Multiplexing Transmission"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.07988","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:b0e6b4a11327687bcd9790e479cfce53dedec94b1d291d50a7159354d23a77ae","target":"record","created_at":"2026-05-18T00:45:31Z","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":"4df03b8b851b4f76602dc3be5375c3607ba90f54eba68f2857138dd1ef3629ff","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-04-26T07:09:03Z","title_canon_sha256":"27f2b4a54b657d0ee569947268867ef2ee1cc72465f2db7450257e65cfd428ea"},"schema_version":"1.0","source":{"id":"1704.07988","kind":"arxiv","version":1}},"canonical_sha256":"938829dbd9376c9034a642029d897be61c6a1542ff1da42b03105f7a96177cc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"938829dbd9376c9034a642029d897be61c6a1542ff1da42b03105f7a96177cc0","first_computed_at":"2026-05-18T00:45:31.345386Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:31.345386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+IDZHYdPRP1hhfKLh9+DyMsb+84XDeRRG1EBFddVTjgHKku+ZLoZomWx1SNbKK0lEjxkXH3bFHXsPHeuHSORBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:31.345844Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.07988","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0e6b4a11327687bcd9790e479cfce53dedec94b1d291d50a7159354d23a77ae","sha256:624ce25b0af0e034256ca9bf7f9cfcf42a2fa077a29217ad440c1e9a8744415f"],"state_sha256":"8b7c3a8da7bfbe6a5c1063f5132bb88d3cdb6e8158fc89dddf40700e34ff0b61"}