{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:KM53OQSULWFVI7WA2B5RQBMBGN","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":"95527883453603e6b3372af716c7bb459caaea3a95d15e8bb0aecd5d149a3e7e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-03-18T18:32:37Z","title_canon_sha256":"5ea9682b2ba89cf95f8e3840558936fda5256ff6ef174a5ba8193d998f5f4055"},"schema_version":"1.0","source":{"id":"1903.07658","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.07658","created_at":"2026-05-17T23:50:54Z"},{"alias_kind":"arxiv_version","alias_value":"1903.07658v1","created_at":"2026-05-17T23:50:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07658","created_at":"2026-05-17T23:50:54Z"},{"alias_kind":"pith_short_12","alias_value":"KM53OQSULWFV","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"KM53OQSULWFVI7WA","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"KM53OQSU","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:a2d056c94daed891a29907ef644610f251e8802f613bf0a140f8c0f259cd2923","target":"graph","created_at":"2026-05-17T23:50:54Z","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":"In this paper, we analyze the feasibility of serving K secondary users (SUs) on the downlink using a secondary base station (SBS), equipped with a large antenna array, in an underlay cognitive radio (CR) network. First, we formulate a feasibility problem in order to compute beamforming vectors and power allocations for K SUs with constraints on the maximum allowable interference to primary users (PUs), required minimum rate at SUs, and maximum transmit power from SBS. The problem formulation takes into account the imperfect channel state information between SUs and PUs. We propose a two step a","authors_text":"Danijela Cabric, Shailesh Chaudhari","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-03-18T18:32:37Z","title":"Feasibility of Serving K Secondary Users in Underlay Cognitive Radio Networks using Massive MIMO"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07658","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:f71162e35e7cf189cb92f8998560ec8c8cb0e8f26a8196188c085b294d84ab15","target":"record","created_at":"2026-05-17T23:50:54Z","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":"95527883453603e6b3372af716c7bb459caaea3a95d15e8bb0aecd5d149a3e7e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-03-18T18:32:37Z","title_canon_sha256":"5ea9682b2ba89cf95f8e3840558936fda5256ff6ef174a5ba8193d998f5f4055"},"schema_version":"1.0","source":{"id":"1903.07658","kind":"arxiv","version":1}},"canonical_sha256":"533bb742545d8b547ec0d07b180581334836183412c081d4757dad8f476231f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"533bb742545d8b547ec0d07b180581334836183412c081d4757dad8f476231f3","first_computed_at":"2026-05-17T23:50:54.423857Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:54.423857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pqFC3lVpD3ok9DykRXcpQwQZtyldc5X+MhgHr8DZPe4Dn5IpVknhchtZZVxi6TusEHw9UbhL9r1tWQs3N15kAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:54.424544Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.07658","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f71162e35e7cf189cb92f8998560ec8c8cb0e8f26a8196188c085b294d84ab15","sha256:a2d056c94daed891a29907ef644610f251e8802f613bf0a140f8c0f259cd2923"],"state_sha256":"e04f22ed070719fda5917b89c8ce49363a047acb23fd14d942500892949f988c"}