{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:WU2KKQBTO74VXZGAJVWH6DFMSU","short_pith_number":"pith:WU2KKQBT","schema_version":"1.0","canonical_sha256":"b534a5403377f95be4c04d6c7f0cac951c22e9ced9e1873127a57274ac34b202","source":{"kind":"arxiv","id":"1505.03758","version":2},"attestation_state":"computed","paper":{"title":"Analytic Performance Evaluation of Underlay Relay Cognitive Networks with Channel Estimation Errors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Khuong Ho-Van, Lien Pham Hong, Paschalis C. Sofotasios, Son Vo Que, Thai Pham Quang, Tuan Dang Anh","submitted_at":"2015-05-14T15:36:08Z","abstract_excerpt":"This paper evaluates the bit error rate (BER) performance of underlay relay cognitive networks with decode-and-forward (DF) relays in arbitrary number of hops over Rayleigh fading with channel estimation errors. In order to facilitate the performance evaluation analytically we derive a novel exact closed-form representation for the corresponding BER which is validated through extensive comparisons with results from Monte-Carlo simulations. The proposed expression involved well known elementary and special functions which render its computational realization rather simple and straightforward. A"},"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":"1505.03758","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-14T15:36:08Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"aa81dc7c6772e209dec5e2280977e9648073c7bc4f586577806bd967ed452c52","abstract_canon_sha256":"ebfc388744457c67d76981252b421183ea9235e4077906ac7dccd055305eb952"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:51.328881Z","signature_b64":"+qR9q4AxpmGhyftbNiy/5aFQqIc9zQXP8bKiyAqqerUym95GYKyMxNoSOKuqXU8Lcsagkz44cpKL8zHsS++0BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b534a5403377f95be4c04d6c7f0cac951c22e9ced9e1873127a57274ac34b202","last_reissued_at":"2026-05-18T00:53:51.328323Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:51.328323Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytic Performance Evaluation of Underlay Relay Cognitive Networks with Channel Estimation Errors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Khuong Ho-Van, Lien Pham Hong, Paschalis C. Sofotasios, Son Vo Que, Thai Pham Quang, Tuan Dang Anh","submitted_at":"2015-05-14T15:36:08Z","abstract_excerpt":"This paper evaluates the bit error rate (BER) performance of underlay relay cognitive networks with decode-and-forward (DF) relays in arbitrary number of hops over Rayleigh fading with channel estimation errors. In order to facilitate the performance evaluation analytically we derive a novel exact closed-form representation for the corresponding BER which is validated through extensive comparisons with results from Monte-Carlo simulations. The proposed expression involved well known elementary and special functions which render its computational realization rather simple and straightforward. A"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.03758","kind":"arxiv","version":2},"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":"1505.03758","created_at":"2026-05-18T00:53:51.328399+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.03758v2","created_at":"2026-05-18T00:53:51.328399+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.03758","created_at":"2026-05-18T00:53:51.328399+00:00"},{"alias_kind":"pith_short_12","alias_value":"WU2KKQBTO74V","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_16","alias_value":"WU2KKQBTO74VXZGA","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_8","alias_value":"WU2KKQBT","created_at":"2026-05-18T12:29:47.479230+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/WU2KKQBTO74VXZGAJVWH6DFMSU","json":"https://pith.science/pith/WU2KKQBTO74VXZGAJVWH6DFMSU.json","graph_json":"https://pith.science/api/pith-number/WU2KKQBTO74VXZGAJVWH6DFMSU/graph.json","events_json":"https://pith.science/api/pith-number/WU2KKQBTO74VXZGAJVWH6DFMSU/events.json","paper":"https://pith.science/paper/WU2KKQBT"},"agent_actions":{"view_html":"https://pith.science/pith/WU2KKQBTO74VXZGAJVWH6DFMSU","download_json":"https://pith.science/pith/WU2KKQBTO74VXZGAJVWH6DFMSU.json","view_paper":"https://pith.science/paper/WU2KKQBT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.03758&json=true","fetch_graph":"https://pith.science/api/pith-number/WU2KKQBTO74VXZGAJVWH6DFMSU/graph.json","fetch_events":"https://pith.science/api/pith-number/WU2KKQBTO74VXZGAJVWH6DFMSU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WU2KKQBTO74VXZGAJVWH6DFMSU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WU2KKQBTO74VXZGAJVWH6DFMSU/action/storage_attestation","attest_author":"https://pith.science/pith/WU2KKQBTO74VXZGAJVWH6DFMSU/action/author_attestation","sign_citation":"https://pith.science/pith/WU2KKQBTO74VXZGAJVWH6DFMSU/action/citation_signature","submit_replication":"https://pith.science/pith/WU2KKQBTO74VXZGAJVWH6DFMSU/action/replication_record"}},"created_at":"2026-05-18T00:53:51.328399+00:00","updated_at":"2026-05-18T00:53:51.328399+00:00"}