{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:I445EYQXOQB7ECOP73Y4TPJMG6","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":"08c7c424d8d3030f1d8865c3af23cacf9329c67268b1aafa5c5e4acdaf3c25da","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-24T07:55:08Z","title_canon_sha256":"239d552bef148a9b8ea2457bda7be0977367fc265567e9798369d052ae98817b"},"schema_version":"1.0","source":{"id":"1604.06993","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06993","created_at":"2026-05-18T00:48:54Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06993v5","created_at":"2026-05-18T00:48:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06993","created_at":"2026-05-18T00:48:54Z"},{"alias_kind":"pith_short_12","alias_value":"I445EYQXOQB7","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"I445EYQXOQB7ECOP","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"I445EYQX","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:f795707a7a91ff913d00a3d3334bbfb4ef13302430668538fe094fb7e8f98514","target":"graph","created_at":"2026-05-18T00:48:54Z","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, new exact and approximate moment generating functions (MGF) expression for generalized fading models are derived. Specifically, we consider the ${\\eta}-{\\lambda}-{\\mu}$, ${\\alpha}-{\\mu}$, ${\\alpha}-{\\eta}-{\\mu}$, ${\\alpha}-{\\lambda}-{\\mu}$, ${\\alpha}-{\\kappa}-{\\mu}$, and ${\\alpha}-{\\lambda}-{\\eta}-{\\mu}$ generalized fading distributions to derive approximate MGF expressions. The new expressions are very accurate and, in contrast to earlier results in the literature, avoid any complicated special functions, e.g. the Meijer-$G$ and Fox $H$-functions. As such, the new MGF expressio","authors_text":"Ahmed Kulaib, Ali Hakam, Ehab Salahat, Nazar Ali","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-24T07:55:08Z","title":"Moment Generating Functions of Generalized Wireless Fading Channels and Applications in Wireless Communication Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06993","kind":"arxiv","version":5},"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:fee3e922f801a78e39a96066746c94d4b5ec301fd9710c3277a5947b2f8cae63","target":"record","created_at":"2026-05-18T00:48:54Z","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":"08c7c424d8d3030f1d8865c3af23cacf9329c67268b1aafa5c5e4acdaf3c25da","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-24T07:55:08Z","title_canon_sha256":"239d552bef148a9b8ea2457bda7be0977367fc265567e9798369d052ae98817b"},"schema_version":"1.0","source":{"id":"1604.06993","kind":"arxiv","version":5}},"canonical_sha256":"4739d262177403f209cffef1c9bd2c378849c590fef1552e706f725090f37ba3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4739d262177403f209cffef1c9bd2c378849c590fef1552e706f725090f37ba3","first_computed_at":"2026-05-18T00:48:54.601873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:54.601873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A79I9iCzvOPGANHbG12v9/D4flugXaNj1bvQKKewvtfIAF0ODK/+1G5J6StM60/iuux7ZRdvuwxOftS3NbngAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:54.602616Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06993","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fee3e922f801a78e39a96066746c94d4b5ec301fd9710c3277a5947b2f8cae63","sha256:f795707a7a91ff913d00a3d3334bbfb4ef13302430668538fe094fb7e8f98514"],"state_sha256":"1a8282f11801e017e6b9a1dee355000d02b7741cc9a5c62cf3cadad53dc943f6"}