{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:G3QZEYTQ7IOXHISNNBCKSYBXUI","short_pith_number":"pith:G3QZEYTQ","schema_version":"1.0","canonical_sha256":"36e1926270fa1d73a24d6844a96037a215c07f8045f3e8b42befffdb5b13fa15","source":{"kind":"arxiv","id":"1008.3641","version":1},"attestation_state":"computed","paper":{"title":"Capacity Limits of Multiuser Multiantenna Cognitive Networks","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Aria Nosratinia, Yang Li","submitted_at":"2010-08-21T15:33:36Z","abstract_excerpt":"Unlike point-to-point cognitive radio, where the constraint imposed by the primary rigidly curbs the secondary throughput, multiple secondary users have the potential to more efficiently harvest the spectrum and share it among themselves. This paper analyzes the sum throughput of a multiuser cognitive radio system with multi-antenna base stations, either in the uplink or downlink mode. The primary and secondary have $N$ and $n$ users, respectively, and their base stations have $M$ and $m$ antennas, respectively. We show that an uplink secondary throughput grows with $\\frac{m}{N +1}\\log n$ if t"},"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":"1008.3641","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.IT","submitted_at":"2010-08-21T15:33:36Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"d2667c5a968234dac09d12faa21b53c30a70a59082705b30e0dd5f06782b4c0d","abstract_canon_sha256":"a4066a5921bd9ce5a366a90ee57d420d12b10cffe9d5ebc03a67e7254c70942e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:55.453021Z","signature_b64":"K0oUeRzaPcyQ1oCnvRJLoIu37UEMs3zHjTzQKsGGHlkfNUoDxFKCY9INuEKMDdh+7xs3ObUWvgg8WTWx/P41Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36e1926270fa1d73a24d6844a96037a215c07f8045f3e8b42befffdb5b13fa15","last_reissued_at":"2026-05-18T04:41:55.452525Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:55.452525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Capacity Limits of Multiuser Multiantenna Cognitive Networks","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Aria Nosratinia, Yang Li","submitted_at":"2010-08-21T15:33:36Z","abstract_excerpt":"Unlike point-to-point cognitive radio, where the constraint imposed by the primary rigidly curbs the secondary throughput, multiple secondary users have the potential to more efficiently harvest the spectrum and share it among themselves. This paper analyzes the sum throughput of a multiuser cognitive radio system with multi-antenna base stations, either in the uplink or downlink mode. The primary and secondary have $N$ and $n$ users, respectively, and their base stations have $M$ and $m$ antennas, respectively. We show that an uplink secondary throughput grows with $\\frac{m}{N +1}\\log n$ if t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3641","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1008.3641","created_at":"2026-05-18T04:41:55.452603+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.3641v1","created_at":"2026-05-18T04:41:55.452603+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3641","created_at":"2026-05-18T04:41:55.452603+00:00"},{"alias_kind":"pith_short_12","alias_value":"G3QZEYTQ7IOX","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"G3QZEYTQ7IOXHISN","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"G3QZEYTQ","created_at":"2026-05-18T12:26:07.630475+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/G3QZEYTQ7IOXHISNNBCKSYBXUI","json":"https://pith.science/pith/G3QZEYTQ7IOXHISNNBCKSYBXUI.json","graph_json":"https://pith.science/api/pith-number/G3QZEYTQ7IOXHISNNBCKSYBXUI/graph.json","events_json":"https://pith.science/api/pith-number/G3QZEYTQ7IOXHISNNBCKSYBXUI/events.json","paper":"https://pith.science/paper/G3QZEYTQ"},"agent_actions":{"view_html":"https://pith.science/pith/G3QZEYTQ7IOXHISNNBCKSYBXUI","download_json":"https://pith.science/pith/G3QZEYTQ7IOXHISNNBCKSYBXUI.json","view_paper":"https://pith.science/paper/G3QZEYTQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.3641&json=true","fetch_graph":"https://pith.science/api/pith-number/G3QZEYTQ7IOXHISNNBCKSYBXUI/graph.json","fetch_events":"https://pith.science/api/pith-number/G3QZEYTQ7IOXHISNNBCKSYBXUI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G3QZEYTQ7IOXHISNNBCKSYBXUI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G3QZEYTQ7IOXHISNNBCKSYBXUI/action/storage_attestation","attest_author":"https://pith.science/pith/G3QZEYTQ7IOXHISNNBCKSYBXUI/action/author_attestation","sign_citation":"https://pith.science/pith/G3QZEYTQ7IOXHISNNBCKSYBXUI/action/citation_signature","submit_replication":"https://pith.science/pith/G3QZEYTQ7IOXHISNNBCKSYBXUI/action/replication_record"}},"created_at":"2026-05-18T04:41:55.452603+00:00","updated_at":"2026-05-18T04:41:55.452603+00:00"}