{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:SVXT5NH4PASQY3VSOFW3YMLWKD","short_pith_number":"pith:SVXT5NH4","schema_version":"1.0","canonical_sha256":"956f3eb4fc78250c6eb2716dbc317650fe68de31df72d9ead1442feeb8aa4827","source":{"kind":"arxiv","id":"2504.00181","version":3},"attestation_state":"computed","paper":{"title":"Beamforming Design for Continuous Aperture Array (CAPA)-Based MIMO Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chongjun Ouyang, Yuanwei Liu, Zhaolin Wang","submitted_at":"2025-03-31T19:41:35Z","abstract_excerpt":"An efficient beamforming design is proposed for continuous aperture array (CAPA)-based point-to-point multiple-input multiple-output (MIMO) systems. In contrast to conventional spatially discrete array (SPDA)-MIMO systems, whose optimal beamforming can be obtained using singular-value decomposition, CAPA-MIMO systems require solving the eigendecomposition of a Hermitian kernel operator, which is computationally prohibitive. To address this challenge, an explicit closed-form expression for the achievable rate of CAPA-MIMO systems is first derived as a function of the continuous transmit beamfor"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2504.00181","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-03-31T19:41:35Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"a806d2d86b1016476e94ab2299ea60ce1fdb7a1e7c6453d6579865b83edcdad8","abstract_canon_sha256":"ea740740d71cb89b3962b8c78be4ce09aba4daea8d92a480850fd3ff57a3bb22"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:39:10.516266Z","signature_b64":"DswO1Qplduizc/pVwCX8v0ATgL9QNkKWJHKd0+jifGC+H4d1CLqd1O9/m0UjPIwWG2EI9dcadZfRWow0kWvOAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"956f3eb4fc78250c6eb2716dbc317650fe68de31df72d9ead1442feeb8aa4827","last_reissued_at":"2026-07-05T11:39:10.515813Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:39:10.515813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Beamforming Design for Continuous Aperture Array (CAPA)-Based MIMO Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chongjun Ouyang, Yuanwei Liu, Zhaolin Wang","submitted_at":"2025-03-31T19:41:35Z","abstract_excerpt":"An efficient beamforming design is proposed for continuous aperture array (CAPA)-based point-to-point multiple-input multiple-output (MIMO) systems. In contrast to conventional spatially discrete array (SPDA)-MIMO systems, whose optimal beamforming can be obtained using singular-value decomposition, CAPA-MIMO systems require solving the eigendecomposition of a Hermitian kernel operator, which is computationally prohibitive. To address this challenge, an explicit closed-form expression for the achievable rate of CAPA-MIMO systems is first derived as a function of the continuous transmit beamfor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.00181","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.00181/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2504.00181","created_at":"2026-07-05T11:39:10.515874+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.00181v3","created_at":"2026-07-05T11:39:10.515874+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.00181","created_at":"2026-07-05T11:39:10.515874+00:00"},{"alias_kind":"pith_short_12","alias_value":"SVXT5NH4PASQ","created_at":"2026-07-05T11:39:10.515874+00:00"},{"alias_kind":"pith_short_16","alias_value":"SVXT5NH4PASQY3VS","created_at":"2026-07-05T11:39:10.515874+00:00"},{"alias_kind":"pith_short_8","alias_value":"SVXT5NH4","created_at":"2026-07-05T11:39:10.515874+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.00964","citing_title":"Doubly-Dispersive Continuous MIMO Systems: Channel Modeling and Beamforming Design","ref_index":25,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SVXT5NH4PASQY3VSOFW3YMLWKD","json":"https://pith.science/pith/SVXT5NH4PASQY3VSOFW3YMLWKD.json","graph_json":"https://pith.science/api/pith-number/SVXT5NH4PASQY3VSOFW3YMLWKD/graph.json","events_json":"https://pith.science/api/pith-number/SVXT5NH4PASQY3VSOFW3YMLWKD/events.json","paper":"https://pith.science/paper/SVXT5NH4"},"agent_actions":{"view_html":"https://pith.science/pith/SVXT5NH4PASQY3VSOFW3YMLWKD","download_json":"https://pith.science/pith/SVXT5NH4PASQY3VSOFW3YMLWKD.json","view_paper":"https://pith.science/paper/SVXT5NH4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.00181&json=true","fetch_graph":"https://pith.science/api/pith-number/SVXT5NH4PASQY3VSOFW3YMLWKD/graph.json","fetch_events":"https://pith.science/api/pith-number/SVXT5NH4PASQY3VSOFW3YMLWKD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SVXT5NH4PASQY3VSOFW3YMLWKD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SVXT5NH4PASQY3VSOFW3YMLWKD/action/storage_attestation","attest_author":"https://pith.science/pith/SVXT5NH4PASQY3VSOFW3YMLWKD/action/author_attestation","sign_citation":"https://pith.science/pith/SVXT5NH4PASQY3VSOFW3YMLWKD/action/citation_signature","submit_replication":"https://pith.science/pith/SVXT5NH4PASQY3VSOFW3YMLWKD/action/replication_record"}},"created_at":"2026-07-05T11:39:10.515874+00:00","updated_at":"2026-07-05T11:39:10.515874+00:00"}