{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:XFTJHVN7WJ7OPII54QZYNKS3H3","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":"1f67e599592ecd0b083b6f33eebaa0a206c907b54ea327d34e0e2009bedb880d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2019-01-30T20:38:38Z","title_canon_sha256":"11996b7e667552b0bca8304449dd9dd98b2162599efe4569c491338974df1087"},"schema_version":"1.0","source":{"id":"1901.11091","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.11091","created_at":"2026-05-17T23:55:02Z"},{"alias_kind":"arxiv_version","alias_value":"1901.11091v1","created_at":"2026-05-17T23:55:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.11091","created_at":"2026-05-17T23:55:02Z"},{"alias_kind":"pith_short_12","alias_value":"XFTJHVN7WJ7O","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"XFTJHVN7WJ7OPII5","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"XFTJHVN7","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:d6c783707dd5295880c37c74e4f64210e5cc3d8cf779ff832166183a212c6db5","target":"graph","created_at":"2026-05-17T23:55:02Z","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":"Capitalizing on the recently proposed Fisher-Snedecor F composite fading model, in this letter, we investigate the sum of independent but not identically distributed (i.n.i.d.) Fisher-Snedecor F variates. First, a novel closed-form expression is derived for the moment generating function of the instantaneous signal-to-noise ratio. Based on this, the corresponding probability density function and cumulative distribution function of the sum of i.n.i.d. Fisher- Snedecor F variates are derived, which are subsequently employed in the analysis of multiple branch maximal-ratio combining (MRC). Specif","authors_text":"Daniel B. da Costa, Osamah. S. Badarneh, Paschalis C. Sofotasios, Sami Muhaidat, Simon L. Cotton","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2019-01-30T20:38:38Z","title":"On the Sum of Fisher-Snedecor F Variates and its Application to Maximal-Ratio Combining"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.11091","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":"sha256:64b4c4b68fb2e43dd3786da6ac8a603f3bc4cb65bea06bf633d076c71bfbdc11","target":"record","created_at":"2026-05-17T23:55:02Z","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":"1f67e599592ecd0b083b6f33eebaa0a206c907b54ea327d34e0e2009bedb880d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2019-01-30T20:38:38Z","title_canon_sha256":"11996b7e667552b0bca8304449dd9dd98b2162599efe4569c491338974df1087"},"schema_version":"1.0","source":{"id":"1901.11091","kind":"arxiv","version":1}},"canonical_sha256":"b96693d5bfb27ee7a11de43386aa5b3ed0637c93585fba7996346be124a1587b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b96693d5bfb27ee7a11de43386aa5b3ed0637c93585fba7996346be124a1587b","first_computed_at":"2026-05-17T23:55:02.674930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:02.674930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cX1Qij+oxdM4+MHipVnZnDY65tO/le7Hz6JKqwAtS7yCm0dOeUQYQqEpC3MV2XTkCWjFwZXDxvVikJnefGVNBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:02.675543Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.11091","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64b4c4b68fb2e43dd3786da6ac8a603f3bc4cb65bea06bf633d076c71bfbdc11","sha256:d6c783707dd5295880c37c74e4f64210e5cc3d8cf779ff832166183a212c6db5"],"state_sha256":"2a4fb575ee82e380e8f24845cd8d128d6e147c98a2481917d69baf91deaf12bc"}