{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:OA66NBMNPJKQRYFACEJYYNVLU4","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":"005ddfe628352e4ebd941fbf5ef813f2eff87b45e9dacc22940edff3461e7859","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-05-25T05:25:45Z","title_canon_sha256":"783cea6805a80b6d7e23e0e943ccef0534aefb8629a25d29c9ac9917a4a50146"},"schema_version":"1.0","source":{"id":"2305.15730","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.15730","created_at":"2026-07-05T06:13:44Z"},{"alias_kind":"arxiv_version","alias_value":"2305.15730v1","created_at":"2026-07-05T06:13:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.15730","created_at":"2026-07-05T06:13:44Z"},{"alias_kind":"pith_short_12","alias_value":"OA66NBMNPJKQ","created_at":"2026-07-05T06:13:44Z"},{"alias_kind":"pith_short_16","alias_value":"OA66NBMNPJKQRYFA","created_at":"2026-07-05T06:13:44Z"},{"alias_kind":"pith_short_8","alias_value":"OA66NBMN","created_at":"2026-07-05T06:13:44Z"}],"graph_snapshots":[{"event_id":"sha256:82d095042a2f9042a1ff596272f7d5daa1e2a04f8b30333ae794dd850006035d","target":"graph","created_at":"2026-07-05T06:13:44Z","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/2305.15730/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"As Part II of a three-part tutorial on holographic multiple-input multiple-output (HMIMO), this Letter focuses on the state-of-the-art in performance analysis and on holographic beamforming for HMIMO communications. We commence by discussing the spatial degrees of freedom (DoF) and ergodic capacity of a point-to-point HMIMO system, based on the channel model presented in Part I. Additionally, we also consider the sum-rate analysis of multi-user HMIMO systems. Moreover, we review the recent progress in holographic beamforming techniques developed for various HMIMO scenarios. Finally, we evaluat","authors_text":"Chau Yuen, Chongwen Huang, H. Vincent Poor, Jiancheng An, Lajos Hanzo, Merouane Debbah","cross_cats":["eess.SP","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-05-25T05:25:45Z","title":"A Tutorial on Holographic MIMO Communications--Part II: Performance Analysis and Holographic Beamforming"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.15730","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:c98e1454157c1ddad0027785ab99a408872a1106479db5b90b0025dafe30e433","target":"record","created_at":"2026-07-05T06:13:44Z","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":"005ddfe628352e4ebd941fbf5ef813f2eff87b45e9dacc22940edff3461e7859","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-05-25T05:25:45Z","title_canon_sha256":"783cea6805a80b6d7e23e0e943ccef0534aefb8629a25d29c9ac9917a4a50146"},"schema_version":"1.0","source":{"id":"2305.15730","kind":"arxiv","version":1}},"canonical_sha256":"703de6858d7a5508e0a011138c36aba73f15bb05579b75b9a09cd208bd88633b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"703de6858d7a5508e0a011138c36aba73f15bb05579b75b9a09cd208bd88633b","first_computed_at":"2026-07-05T06:13:44.000475Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:13:44.000475Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QGOK5T8hvD5cDKfUSgAd6mGJzMu9JwmPBqjhFeEI6BRckVJCvD/yCwaIiEYlNMHDq8ioorTK8gI8FPdHvP2iCg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:13:44.001008Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.15730","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c98e1454157c1ddad0027785ab99a408872a1106479db5b90b0025dafe30e433","sha256:82d095042a2f9042a1ff596272f7d5daa1e2a04f8b30333ae794dd850006035d"],"state_sha256":"25e3a6e6a6c2f5201c80e2c0485df0083eba9434c3ce5eb5deda1440fae12870"}