{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IDR2BBDM2OCEX2H2ZRC6BI5DJH","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":"f8ebf17335957770b3a01ab36be099783f9b666050cdae099fb1cc895a375689","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-12-02T20:10:18Z","title_canon_sha256":"8d4b1ebcb49e6130d2c56d3e3e2af6d7f95613bc77aec557600c74e71393ce84"},"schema_version":"1.0","source":{"id":"1212.0239","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.0239","created_at":"2026-05-18T03:39:26Z"},{"alias_kind":"arxiv_version","alias_value":"1212.0239v1","created_at":"2026-05-18T03:39:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.0239","created_at":"2026-05-18T03:39:26Z"},{"alias_kind":"pith_short_12","alias_value":"IDR2BBDM2OCE","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IDR2BBDM2OCEX2H2","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IDR2BBDM","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:386c86de5a0767d09ece82562ac2d09a51afa633b6791de0d599b12abdb30fa6","target":"graph","created_at":"2026-05-18T03:39:26Z","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":"We propose a joint optimal power allocation and sensing threshold selection for capacity maximization at the secondary user (SU) in spectrum sharing (SS) cognitive radio networks (CRNs). Hence, both optimal power allocation (OPA) and spectrum sensing (SpSe) is considered in the SS CRNs model. The obtained results show that such a joint optimal selection improves the performance of the SU by maximizing its capacity.","authors_text":"F. Foukalas, G. T. Karetsos, P. T. Mathiopoulos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-12-02T20:10:18Z","title":"Joint optimal power allocation and sensing threshold selection for SUs capacity maximization in SS CRNs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.0239","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":"sha256:5f525596213e24e7875ca28093cb08be7852095588b4ec8790d1de9cb5a563f1","target":"record","created_at":"2026-05-18T03:39:26Z","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":"f8ebf17335957770b3a01ab36be099783f9b666050cdae099fb1cc895a375689","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-12-02T20:10:18Z","title_canon_sha256":"8d4b1ebcb49e6130d2c56d3e3e2af6d7f95613bc77aec557600c74e71393ce84"},"schema_version":"1.0","source":{"id":"1212.0239","kind":"arxiv","version":1}},"canonical_sha256":"40e3a0846cd3844be8facc45e0a3a349d5700155ce2133d1207b81375ec5c367","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40e3a0846cd3844be8facc45e0a3a349d5700155ce2133d1207b81375ec5c367","first_computed_at":"2026-05-18T03:39:26.756343Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:26.756343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CpeSqR47KvXE/HED9qtrJrgdcCXuti75ATYKrBX6FNDtAxA/kmVf4T/JcftIoGyPZaDWVmI3wMaei6Vi74ggCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:26.757038Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.0239","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f525596213e24e7875ca28093cb08be7852095588b4ec8790d1de9cb5a563f1","sha256:386c86de5a0767d09ece82562ac2d09a51afa633b6791de0d599b12abdb30fa6"],"state_sha256":"d4d7df404c00ad5f77304eadd7627294178ecab0a7ed59beb9f7dcd2bbd8337b"}