{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:MZXUEXOWOGRLKJC5VCZ2SWYYMD","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":"29556a57531d500e94a77989ce966a5223f530dc2ebc02c16dda2140e9f12dd4","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2019-08-07T15:20:37Z","title_canon_sha256":"9dce542028cbe739ec60504e2a9be5b6be00c6670d66a00bbf7928ebb1bc467d"},"schema_version":"1.0","source":{"id":"1908.02678","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.02678","created_at":"2026-07-05T00:38:03Z"},{"alias_kind":"arxiv_version","alias_value":"1908.02678v2","created_at":"2026-07-05T00:38:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.02678","created_at":"2026-07-05T00:38:03Z"},{"alias_kind":"pith_short_12","alias_value":"MZXUEXOWOGRL","created_at":"2026-07-05T00:38:03Z"},{"alias_kind":"pith_short_16","alias_value":"MZXUEXOWOGRLKJC5","created_at":"2026-07-05T00:38:03Z"},{"alias_kind":"pith_short_8","alias_value":"MZXUEXOW","created_at":"2026-07-05T00:38:03Z"}],"graph_snapshots":[{"event_id":"sha256:dc677d5348750dfbed085c8cf5a3bfd60f0de83e761c5047b383a39ff7811c97","target":"graph","created_at":"2026-07-05T00:38:03Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.02678/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Multicast beamforming is known to improve spectral efficiency. However, its benefits and challenges for hybrid precoders design in millimeter-wave (mmWave) systems remain understudied. To this end, this paper investigates the first joint design of hybrid transmit precoders (with an arbitrary number of finite-resolution phase shifts) and receive combiners for mmWave multi-group multicasting. Our proposed design leverages semidefinite relaxation (SDR), alternating optimization and Cholesky matrix factorization to sequentially optimize the digital/analog precoders at the transmitter and the combi","authors_text":"Gek Hong (Allyson) Sim, Luis F. Abanto-Leon, Matthias Hollick","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2019-08-07T15:20:37Z","title":"Hybrid Precoding for Multi-Group Multicasting in mmWave Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02678","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":"sha256:41d8bec2270d017b072aad06bb18ed1a60277d30f5141a8865b085da321d0d4c","target":"record","created_at":"2026-07-05T00:38:03Z","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":"29556a57531d500e94a77989ce966a5223f530dc2ebc02c16dda2140e9f12dd4","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2019-08-07T15:20:37Z","title_canon_sha256":"9dce542028cbe739ec60504e2a9be5b6be00c6670d66a00bbf7928ebb1bc467d"},"schema_version":"1.0","source":{"id":"1908.02678","kind":"arxiv","version":2}},"canonical_sha256":"666f425dd671a2b5245da8b3a95b1860f8cd3b780969c1215167dbcc9f83d51c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"666f425dd671a2b5245da8b3a95b1860f8cd3b780969c1215167dbcc9f83d51c","first_computed_at":"2026-07-05T00:38:03.397106Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:38:03.397106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mf+rRMKvfnQRfpTyBQ4sAnzMw0BlcVCBHH2Ox41eRXCmmKJGzQqFFpXyX+Bb0RFGgn8O+Gv9Ny4awUCUFCD/Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:38:03.397615Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.02678","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41d8bec2270d017b072aad06bb18ed1a60277d30f5141a8865b085da321d0d4c","sha256:dc677d5348750dfbed085c8cf5a3bfd60f0de83e761c5047b383a39ff7811c97"],"state_sha256":"6e3cd1019993d56fb10ae4d62fb7846fff984919b27758299738906279ca9766"}