{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:P4UDD2C2AVQVD2ESLOEDMZWU3S","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":"0a03c0372d8a8d55dff0110edf10da0f2702ad7fbc932c22a35e2da64638afc1","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-08T14:19:24Z","title_canon_sha256":"1279fe59c53749e8901e2797aefc70b3f3f3d3378041738b44370e0a940a6646"},"schema_version":"1.0","source":{"id":"1501.01864","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01864","created_at":"2026-05-18T02:29:46Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01864v1","created_at":"2026-05-18T02:29:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01864","created_at":"2026-05-18T02:29:46Z"},{"alias_kind":"pith_short_12","alias_value":"P4UDD2C2AVQV","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"P4UDD2C2AVQVD2ES","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"P4UDD2C2","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:ee67827c7cc49e261759570c866fd5ea27ddd165255c0bdca070287546aba4b3","target":"graph","created_at":"2026-05-18T02:29:46Z","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":"This paper focuses on linear beamforming design and power allocation strategy for ergodic rate optimization in a two-user Multiple-Input-Single-Output (MISO) system with statistical and delayed channel state information at the transmitter (CSIT). We propose a transmission strategy, denoted as Statistical Alternative MAT (SAMAT), which exploits both channel statistics and delayed CSIT. Firstly, with statistical CSIT only, we focus on statistical beamforming (SBF) design that maximizes a lower bound on the ergodic sum-rate. Secondly, relying on both statistical and delayed CSIT, an iterative alg","authors_text":"Bruno Clerckx, Mingbo Dai","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-08T14:19:24Z","title":"Transmit Beamforming for MISO Broadcast Channels with Statistical and Delayed CSIT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01864","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":"sha256:766c53907cea1cfb162bc20baab4cccd8a867b6fed9e0ccf16b2b40736fe1b52","target":"record","created_at":"2026-05-18T02:29:46Z","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":"0a03c0372d8a8d55dff0110edf10da0f2702ad7fbc932c22a35e2da64638afc1","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-08T14:19:24Z","title_canon_sha256":"1279fe59c53749e8901e2797aefc70b3f3f3d3378041738b44370e0a940a6646"},"schema_version":"1.0","source":{"id":"1501.01864","kind":"arxiv","version":1}},"canonical_sha256":"7f2831e85a056151e8925b883666d4dc9ce2520300e77d85f55d831f38c97059","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f2831e85a056151e8925b883666d4dc9ce2520300e77d85f55d831f38c97059","first_computed_at":"2026-05-18T02:29:46.195666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:46.195666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JnstaW0TYGY9QzHQ0AJY6Y1mOPwlkhMJPZGWLJxuywU24CWpHfLRhniF7pbmkmMjEFte5uf5J+0fgQp2HTEoDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:46.196055Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.01864","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:766c53907cea1cfb162bc20baab4cccd8a867b6fed9e0ccf16b2b40736fe1b52","sha256:ee67827c7cc49e261759570c866fd5ea27ddd165255c0bdca070287546aba4b3"],"state_sha256":"dce781d8d9e9780a2f7636154549154622f8363863d7c0f211745ca010776243"}