{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YXZNNWLC6NCZD2SZC2QQE24UB5","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":"52940d1ed3616f496b6db52299e026407a1edf1e2d825029c079aa80469b6266","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-08-09T20:51:35Z","title_canon_sha256":"8f93f2235768590b41923956db433edd6f856ad04d929db56fcbbfda24e4cbba"},"schema_version":"1.0","source":{"id":"1808.03343","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.03343","created_at":"2026-05-17T23:46:41Z"},{"alias_kind":"arxiv_version","alias_value":"1808.03343v2","created_at":"2026-05-17T23:46:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.03343","created_at":"2026-05-17T23:46:41Z"},{"alias_kind":"pith_short_12","alias_value":"YXZNNWLC6NCZ","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YXZNNWLC6NCZD2SZ","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YXZNNWLC","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:eca64df9a3f33e469d3c89a03c59f38fcf75a5ebae74cc553f143bc2aeec70ac","target":"graph","created_at":"2026-05-17T23:46:41Z","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":"Most of the well-known fading distributions, if not all of them, could be encompassed by Fox's $H$-function fading. Consequently, we investigate the exact and asymptotic behavior of physical layer security (PLS) over Fox's $H$-function fading wiretap channels. In particular, closed-form expressions are derived for secrecy outage probability (SOP), probability of non-zero secrecy capacity (PNZ), and average secrecy capacity (ASC). These expressions are given in terms of either univariate or bivariate Fox's $H$-function. In order to show the comprehensive effectiveness of our derivations, three ","authors_text":"Georges Kaddoum, Hatim Chergui, Long Kong","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-08-09T20:51:35Z","title":"On Physical Layer Security over Fox's $H$-Function Wiretap Fading Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.03343","kind":"arxiv","version":2},"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:cc07e4f72ce767b580ea8438c8c9ebf13200416317029243b92bdd1c456618f5","target":"record","created_at":"2026-05-17T23:46:41Z","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":"52940d1ed3616f496b6db52299e026407a1edf1e2d825029c079aa80469b6266","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-08-09T20:51:35Z","title_canon_sha256":"8f93f2235768590b41923956db433edd6f856ad04d929db56fcbbfda24e4cbba"},"schema_version":"1.0","source":{"id":"1808.03343","kind":"arxiv","version":2}},"canonical_sha256":"c5f2d6d962f34591ea5916a1026b940f596928a0d9c54858ddc2cf0973e6dc22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5f2d6d962f34591ea5916a1026b940f596928a0d9c54858ddc2cf0973e6dc22","first_computed_at":"2026-05-17T23:46:41.712471Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:41.712471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R4zUNV0R30EAcLj+WX4a7vv1HbBpPMmTTvhKWg2C3M97MRyAlFPXIkVicOKDPX/cgkUjjDuJNNm7jMUAtpYdBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:41.713074Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.03343","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc07e4f72ce767b580ea8438c8c9ebf13200416317029243b92bdd1c456618f5","sha256:eca64df9a3f33e469d3c89a03c59f38fcf75a5ebae74cc553f143bc2aeec70ac"],"state_sha256":"123f03b52647f28c499dd53e8ca07e2f56a4f00bdaaec145b354c950c6a35670"}