{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:5CEECLF7HVDTAEGVLPPTIHR66O","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":"ee2679d88d7a7ad27d336a0be20208419e8abfb7b6c82f3bf53caa89aebc7b97","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-08-03T03:13:37Z","title_canon_sha256":"02d0379e55d10e0078eac87969bbcb4755f3c6432e9e90f23b15a521a8d5cf56"},"schema_version":"1.0","source":{"id":"2308.01515","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.01515","created_at":"2026-07-05T06:37:19Z"},{"alias_kind":"arxiv_version","alias_value":"2308.01515v1","created_at":"2026-07-05T06:37:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.01515","created_at":"2026-07-05T06:37:19Z"},{"alias_kind":"pith_short_12","alias_value":"5CEECLF7HVDT","created_at":"2026-07-05T06:37:19Z"},{"alias_kind":"pith_short_16","alias_value":"5CEECLF7HVDTAEGV","created_at":"2026-07-05T06:37:19Z"},{"alias_kind":"pith_short_8","alias_value":"5CEECLF7","created_at":"2026-07-05T06:37:19Z"}],"graph_snapshots":[{"event_id":"sha256:d803c3a6f443c6b51a57abc8e42fc0cb6474804e6e2ffad22dad21752d9594a2","target":"graph","created_at":"2026-07-05T06:37:19Z","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/2308.01515/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In intelligent reflecting surface (IRS) assisted communication, beam search is usually time-consuming as the multiple-input multiple-output (MIMO) of IRS is usually very large. Hierarchical codebooks is a widely accepted method for reducing the complexity of searching time. The performance of this method strongly depends on the design scheme of beamforming of different beamwidths. In this paper, a non-constant phase difference (NCPD) beamforming algorithm is proposed. To implement the NCPD algorithm, we first model the phase shift of IRS as a continuous function, and then determine the paramet","authors_text":"Die Hu, Jun Wu, Qingqing Wu, Rui Wang, Xiyuan Liu","cross_cats":["eess.SP","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-08-03T03:13:37Z","title":"Hierarchical Codebook Design and Analytical Beamforming Solution for IRS Assisted Communication"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.01515","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:dd54fe8671e0fa31751aec27c94879292aab8a8da32184edad56a14ff46d4051","target":"record","created_at":"2026-07-05T06:37:19Z","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":"ee2679d88d7a7ad27d336a0be20208419e8abfb7b6c82f3bf53caa89aebc7b97","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-08-03T03:13:37Z","title_canon_sha256":"02d0379e55d10e0078eac87969bbcb4755f3c6432e9e90f23b15a521a8d5cf56"},"schema_version":"1.0","source":{"id":"2308.01515","kind":"arxiv","version":1}},"canonical_sha256":"e888412cbf3d473010d55bdf341e3ef3a5a669d591bd96b5bb1fbdc5fa82bc35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e888412cbf3d473010d55bdf341e3ef3a5a669d591bd96b5bb1fbdc5fa82bc35","first_computed_at":"2026-07-05T06:37:19.546821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:37:19.546821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/J+woOHWYx86WaMV4Ig0opQBO00psuIhnksCWsa6xbmNfhLpJIrO12N6n6UwWMJMMBBCutjLyQuVdM3FDNXoDA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:37:19.547304Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.01515","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd54fe8671e0fa31751aec27c94879292aab8a8da32184edad56a14ff46d4051","sha256:d803c3a6f443c6b51a57abc8e42fc0cb6474804e6e2ffad22dad21752d9594a2"],"state_sha256":"7949bb9f24912164e4e2759d3f53d4437c5f17fac260a5f0cd7acc0e9154c236"}