{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:DR4L4TJVCQINRWKLSIKKJBAJWY","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":"163c706f23e3a79b5e14e1695e32e0468d29d21a9e77605e851b560a22b77c27","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-02-21T02:36:46Z","title_canon_sha256":"94a93e9d2ece98b4346fe7e07758c7b0c9863ee8861f91ab861c701d2476f226"},"schema_version":"1.0","source":{"id":"1902.07847","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.07847","created_at":"2026-05-17T23:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"1902.07847v1","created_at":"2026-05-17T23:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.07847","created_at":"2026-05-17T23:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"DR4L4TJVCQIN","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"DR4L4TJVCQINRWKL","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"DR4L4TJV","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:adb580d4723f66a3ab727a9094b8a510ba7d6caf74de31e825c662bcda0b4ef5","target":"graph","created_at":"2026-05-17T23:53:03Z","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, we derive closed-form exact expressions for the main statistics of the ratio of squared alpha-mu random variables, which are of interest in many scenarios for future wireless networks where generalized distributions are more suitable to fit with field data. Importantly, different from previous proposals, our expressions are general in the sense that are valid for non constrained arbitrary values of the parameters of the alpha-mu distribution. Thus, the probability density function, cumulative distribution function, moment generating function, and higher order moments are given i","authors_text":"D. P. Moya Osorio, E. E. Benitez Olivo, H. Alves, J. D. Vega S\\'anchez, L. Urquiza-Aguiar, M.C.P.Paredes","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-02-21T02:36:46Z","title":"On the Statistics of the Ratio of Non-Constrained Arbitrary {\\alpha}-{\\mu} Random Variables: a General Framework and Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.07847","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:c8bf6b8b5c8208ec7ab81e9e813ff60daedd6ae9e7fdc14e37411d66da73cc7d","target":"record","created_at":"2026-05-17T23:53:03Z","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":"163c706f23e3a79b5e14e1695e32e0468d29d21a9e77605e851b560a22b77c27","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-02-21T02:36:46Z","title_canon_sha256":"94a93e9d2ece98b4346fe7e07758c7b0c9863ee8861f91ab861c701d2476f226"},"schema_version":"1.0","source":{"id":"1902.07847","kind":"arxiv","version":1}},"canonical_sha256":"1c78be4d351410d8d94b9214a48409b62795773ea15e3640e5fe916f589b583b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c78be4d351410d8d94b9214a48409b62795773ea15e3640e5fe916f589b583b","first_computed_at":"2026-05-17T23:53:03.689614Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:03.689614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"librosGVtLpHGhzHrkkP+xM/7SG5yT8FvAYGU9t0Ah8n/dzQki3W0vwFPCeCMiUjGn7uQh7FWtc1xqzmIf9mCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:03.690060Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.07847","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8bf6b8b5c8208ec7ab81e9e813ff60daedd6ae9e7fdc14e37411d66da73cc7d","sha256:adb580d4723f66a3ab727a9094b8a510ba7d6caf74de31e825c662bcda0b4ef5"],"state_sha256":"af50480dbe8fead2897957fac98ca4247939aba941b3c24d6f4322f58b81c3d2"}