{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:5WMXCOCVEH27CWDH54LLRG65GI","short_pith_number":"pith:5WMXCOCV","canonical_record":{"source":{"id":"1811.02443","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-11-06T15:48:23Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"0fcdf4a1937dd28c1c11a92ef89dfc29b1730c0769d0cbf6515c8a7664b30a52","abstract_canon_sha256":"9aafed7cf2d7f268dfe924398863dfecbd60933e18dbed6585d6614be6718066"},"schema_version":"1.0"},"canonical_sha256":"ed9971385521f5f15867ef16b89bdd320bf99e134846199f33f818cfe9eea2c7","source":{"kind":"arxiv","id":"1811.02443","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.02443","created_at":"2026-05-18T00:01:24Z"},{"alias_kind":"arxiv_version","alias_value":"1811.02443v1","created_at":"2026-05-18T00:01:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.02443","created_at":"2026-05-18T00:01:24Z"},{"alias_kind":"pith_short_12","alias_value":"5WMXCOCVEH27","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5WMXCOCVEH27CWDH","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5WMXCOCV","created_at":"2026-05-18T12:32:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:5WMXCOCVEH27CWDH54LLRG65GI","target":"record","payload":{"canonical_record":{"source":{"id":"1811.02443","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-11-06T15:48:23Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"0fcdf4a1937dd28c1c11a92ef89dfc29b1730c0769d0cbf6515c8a7664b30a52","abstract_canon_sha256":"9aafed7cf2d7f268dfe924398863dfecbd60933e18dbed6585d6614be6718066"},"schema_version":"1.0"},"canonical_sha256":"ed9971385521f5f15867ef16b89bdd320bf99e134846199f33f818cfe9eea2c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:24.280934Z","signature_b64":"BC+PYMQWtTqPp1OiLxQveMJFGM/kit29c0EIRLyCTrOg6gAkWKs5KQ4JfumbsJHeKxbH2ZAuFFGaDLNIAjW1Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed9971385521f5f15867ef16b89bdd320bf99e134846199f33f818cfe9eea2c7","last_reissued_at":"2026-05-18T00:01:24.280460Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:24.280460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.02443","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:01:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JmgJI9VEojz6odIujazV5teVvGDaWbWEq+8V7gjoNb1TTU71jwjrLoMVzniqcrJR62ynB0ano6cfbviq+lDwCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T08:40:27.474219Z"},"content_sha256":"24b6f2e2c5998c9b1cc2ff016b8e0cb8779ce68e07b192c37e21d9baf97ce50a","schema_version":"1.0","event_id":"sha256:24b6f2e2c5998c9b1cc2ff016b8e0cb8779ce68e07b192c37e21d9baf97ce50a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:5WMXCOCVEH27CWDH54LLRG65GI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Meta Distribution of Downlink Non-Orthogonal Multiple Access (NOMA) in Poisson Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Hesham ElSawy, Konpal Shaukat Ali, Mohamed-Slim Alouini","submitted_at":"2018-11-06T15:48:23Z","abstract_excerpt":"We study the meta distribution (MD) of the coverage probability (CP) in downlink non-orthogonal-multiple-access (NOMA) networks. Two schemes are assessed based on the location of the NOMA users: 1) anywhere in the network, 2) cell-center users only. The moments of the MD for both schemes are derived and the MD is approximated via the beta distribution. Closed-form moments are derived for the first scheme; for the second scheme exact and approximate moments, to simplify the integral calculation, are derived. We show that restricting NOMA to cell-center users provides significantly higher mean, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.02443","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:01:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GB93adiXBZEUGH0y8gwGQ6NOvxrLukK27yd89kT3qHBT/4GQcWtn4D65KZ7dTeEtiGdIO9dyH7QVAEO+IN5/Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T08:40:27.474608Z"},"content_sha256":"44943d206dbb411da9e97abab03f0a200ae028361754fe41dfb3fb85b3a3a41e","schema_version":"1.0","event_id":"sha256:44943d206dbb411da9e97abab03f0a200ae028361754fe41dfb3fb85b3a3a41e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5WMXCOCVEH27CWDH54LLRG65GI/bundle.json","state_url":"https://pith.science/pith/5WMXCOCVEH27CWDH54LLRG65GI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5WMXCOCVEH27CWDH54LLRG65GI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T08:40:27Z","links":{"resolver":"https://pith.science/pith/5WMXCOCVEH27CWDH54LLRG65GI","bundle":"https://pith.science/pith/5WMXCOCVEH27CWDH54LLRG65GI/bundle.json","state":"https://pith.science/pith/5WMXCOCVEH27CWDH54LLRG65GI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5WMXCOCVEH27CWDH54LLRG65GI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5WMXCOCVEH27CWDH54LLRG65GI","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":"9aafed7cf2d7f268dfe924398863dfecbd60933e18dbed6585d6614be6718066","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-11-06T15:48:23Z","title_canon_sha256":"0fcdf4a1937dd28c1c11a92ef89dfc29b1730c0769d0cbf6515c8a7664b30a52"},"schema_version":"1.0","source":{"id":"1811.02443","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.02443","created_at":"2026-05-18T00:01:24Z"},{"alias_kind":"arxiv_version","alias_value":"1811.02443v1","created_at":"2026-05-18T00:01:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.02443","created_at":"2026-05-18T00:01:24Z"},{"alias_kind":"pith_short_12","alias_value":"5WMXCOCVEH27","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5WMXCOCVEH27CWDH","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5WMXCOCV","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:44943d206dbb411da9e97abab03f0a200ae028361754fe41dfb3fb85b3a3a41e","target":"graph","created_at":"2026-05-18T00:01:24Z","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":"We study the meta distribution (MD) of the coverage probability (CP) in downlink non-orthogonal-multiple-access (NOMA) networks. Two schemes are assessed based on the location of the NOMA users: 1) anywhere in the network, 2) cell-center users only. The moments of the MD for both schemes are derived and the MD is approximated via the beta distribution. Closed-form moments are derived for the first scheme; for the second scheme exact and approximate moments, to simplify the integral calculation, are derived. We show that restricting NOMA to cell-center users provides significantly higher mean, ","authors_text":"Hesham ElSawy, Konpal Shaukat Ali, Mohamed-Slim Alouini","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-11-06T15:48:23Z","title":"Meta Distribution of Downlink Non-Orthogonal Multiple Access (NOMA) in Poisson Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.02443","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":"sha256:24b6f2e2c5998c9b1cc2ff016b8e0cb8779ce68e07b192c37e21d9baf97ce50a","target":"record","created_at":"2026-05-18T00:01:24Z","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":"9aafed7cf2d7f268dfe924398863dfecbd60933e18dbed6585d6614be6718066","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-11-06T15:48:23Z","title_canon_sha256":"0fcdf4a1937dd28c1c11a92ef89dfc29b1730c0769d0cbf6515c8a7664b30a52"},"schema_version":"1.0","source":{"id":"1811.02443","kind":"arxiv","version":1}},"canonical_sha256":"ed9971385521f5f15867ef16b89bdd320bf99e134846199f33f818cfe9eea2c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed9971385521f5f15867ef16b89bdd320bf99e134846199f33f818cfe9eea2c7","first_computed_at":"2026-05-18T00:01:24.280460Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:24.280460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BC+PYMQWtTqPp1OiLxQveMJFGM/kit29c0EIRLyCTrOg6gAkWKs5KQ4JfumbsJHeKxbH2ZAuFFGaDLNIAjW1Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:24.280934Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.02443","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24b6f2e2c5998c9b1cc2ff016b8e0cb8779ce68e07b192c37e21d9baf97ce50a","sha256:44943d206dbb411da9e97abab03f0a200ae028361754fe41dfb3fb85b3a3a41e"],"state_sha256":"c20b0b5726bb5a6223ce868023387f501d3a842d4220de8159c2619804ee8a2e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nozJLJiSPmempH+XIoyaV0iVMw3Bg6Ovy5UQYqJaaq4Lj65jy3tv/nqGRlCWV23fQOxuGAFyEahX7bxqh+UbDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T08:40:27.477205Z","bundle_sha256":"125ef7e92cdbb7844fdda2f8b59b092bf299ec7db9fa149cd6c01b7fa80c0bf4"}}