{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:J6IV4QLECTNZSLSDJE7XQ3XAQH","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":"9c15000fd8cffa50b81cc970d9a4f997ce725af362c9ae8924cc8b4179ea42ea","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-22T17:22:56Z","title_canon_sha256":"a0b6e15d81620ad85aa027d4395e7eea47f5b72e242e30adc2bab6a6bd01dbf1"},"schema_version":"1.0","source":{"id":"1801.07209","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.07209","created_at":"2026-05-18T00:25:21Z"},{"alias_kind":"arxiv_version","alias_value":"1801.07209v1","created_at":"2026-05-18T00:25:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07209","created_at":"2026-05-18T00:25:21Z"},{"alias_kind":"pith_short_12","alias_value":"J6IV4QLECTNZ","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"J6IV4QLECTNZSLSD","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"J6IV4QLE","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:d3cdadf365e51456ed5683263089c9b3b38ba38b215cf03d7d882dd13a41f9ba","target":"graph","created_at":"2026-05-18T00:25:21Z","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, the performance of an underlay multiple-input multiple-output (MIMO) cognitive radio system is analytically studied. In particular, the secondary transmitter operates in a spatial multiplexing transmission mode, while a zero-forcing detector is employed at the secondary receiver. Additionally, the secondary system is interfered by single-antenna primary users (PUs). To enhance the performance of secondary transmission, optimal power allocation is performed at the secondary transmitter with a constraint on the maximum allowable outage threshold specified by the PUs. Further, the ","authors_text":"George C. Alexandropoulos, Nikolaos I. Miridakis, Theodoros A. Tsiftsis","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-22T17:22:56Z","title":"MIMO Underlay Cognitive Radio: Optimized Power Allocation, Effective Number of Transmit Antennas and Harvest-Transmit Tradeoff"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07209","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":"sha256:5267925de73d76c0c3abbd1ffa052a8faf53104d4a3a056a3f8941ef265c1b90","target":"record","created_at":"2026-05-18T00:25:21Z","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":"9c15000fd8cffa50b81cc970d9a4f997ce725af362c9ae8924cc8b4179ea42ea","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-22T17:22:56Z","title_canon_sha256":"a0b6e15d81620ad85aa027d4395e7eea47f5b72e242e30adc2bab6a6bd01dbf1"},"schema_version":"1.0","source":{"id":"1801.07209","kind":"arxiv","version":1}},"canonical_sha256":"4f915e416414db992e43493f786ee081f48f889182ac3745abe7e61881d23b1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f915e416414db992e43493f786ee081f48f889182ac3745abe7e61881d23b1e","first_computed_at":"2026-05-18T00:25:21.926049Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:21.926049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cKrlxUfjFsm9B3ee8jo/M5HoTUI+U+DNAS9129EX4e+kVuNCKsib+HzdU3LhIkjIqQRTqSXNv+ng3e55b6y4BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:21.926757Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.07209","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5267925de73d76c0c3abbd1ffa052a8faf53104d4a3a056a3f8941ef265c1b90","sha256:d3cdadf365e51456ed5683263089c9b3b38ba38b215cf03d7d882dd13a41f9ba"],"state_sha256":"112008e49b1be6a242dd2a283478db6d201e681af2e4f8dd7d573fd4a045b2d8"}