{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WXUMPWYF5ZZ4TEIB47DVLXIQCI","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":"715ddb1f75eb5d4c11513dffe93a3c3907878b41682cd8e20b21a3d620af6582","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-01T01:15:17Z","title_canon_sha256":"71e7fd19904dcf5c2208f941edd383360ab392b4b83838944071f022212ebc65"},"schema_version":"1.0","source":{"id":"1706.00141","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.00141","created_at":"2026-05-18T00:43:14Z"},{"alias_kind":"arxiv_version","alias_value":"1706.00141v1","created_at":"2026-05-18T00:43:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00141","created_at":"2026-05-18T00:43:14Z"},{"alias_kind":"pith_short_12","alias_value":"WXUMPWYF5ZZ4","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WXUMPWYF5ZZ4TEIB","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WXUMPWYF","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:e1a26ed47099d328d3ca9fed51cf8084ea3bd034a5c2e1259539ee6599f6c6ef","target":"graph","created_at":"2026-05-18T00:43:14Z","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, outage performance of hybrid automatic repeat request with incremental redundancy (HARQ-IR) is analyzed. Unlike prior analyses, time-correlated Nakagami-$m$ fading channel is considered. The outage analysis thus involves the probability distribution analysis of a product of multiple correlated shifted Gamma random variables and is more challenging than prior analyses. Based on the finding of the conditional independence of the received signal-to-noise ratios (SNRs), the outage probability is exactly derived by using conditional Mellin transform. Specifically, the outage probabil","authors_text":"Guanghua Yang, Kam-Weng Tam, Minghua Xia, Shaodan Ma, Zheng Shi","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-01T01:15:17Z","title":"Asymptotic Outage Analysis of HARQ-IR over Time-Correlated Nakagami-$m$ Fading Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00141","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:cd576a85edf6945092dbaa75e6f86c38c4f2171e17d9b3157d4a664b582cebab","target":"record","created_at":"2026-05-18T00:43:14Z","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":"715ddb1f75eb5d4c11513dffe93a3c3907878b41682cd8e20b21a3d620af6582","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-01T01:15:17Z","title_canon_sha256":"71e7fd19904dcf5c2208f941edd383360ab392b4b83838944071f022212ebc65"},"schema_version":"1.0","source":{"id":"1706.00141","kind":"arxiv","version":1}},"canonical_sha256":"b5e8c7db05ee73c99101e7c755dd10121933010434c92866018f85249bf1478a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5e8c7db05ee73c99101e7c755dd10121933010434c92866018f85249bf1478a","first_computed_at":"2026-05-18T00:43:14.935944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:14.935944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O6iRUJ7F3OuXz84mhg3RYy/XvY+bThyj8AWEHKP8Q9d2n639lLf3JteTWbBKm01T2QFyxaoJvugPkcA1majRCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:14.936613Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.00141","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd576a85edf6945092dbaa75e6f86c38c4f2171e17d9b3157d4a664b582cebab","sha256:e1a26ed47099d328d3ca9fed51cf8084ea3bd034a5c2e1259539ee6599f6c6ef"],"state_sha256":"4e4c9c5e3f79b307ce142b1c281d74918e6684113d891afa0e1d0d39238a8a06"}