{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:4EEZABV6HFPRXUZVAL3OSR6OUZ","short_pith_number":"pith:4EEZABV6","canonical_record":{"source":{"id":"1302.0891","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-04T22:34:44Z","cross_cats_sorted":["cs.NI","math.IT"],"title_canon_sha256":"9ab8e4f16049fefb30a81ca8bf439c5ff2da6d297e7bb5c3919a566826bbe3d1","abstract_canon_sha256":"0126f766aff9d19a457520d007933c4686320009c29c27d60c1cb94f0a6d5900"},"schema_version":"1.0"},"canonical_sha256":"e1099006be395f1bd33502f6e947cea64f434fd8563c8d07d832a71b43991215","source":{"kind":"arxiv","id":"1302.0891","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0891","created_at":"2026-05-18T02:30:32Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0891v2","created_at":"2026-05-18T02:30:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0891","created_at":"2026-05-18T02:30:32Z"},{"alias_kind":"pith_short_12","alias_value":"4EEZABV6HFPR","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"4EEZABV6HFPRXUZV","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"4EEZABV6","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:4EEZABV6HFPRXUZVAL3OSR6OUZ","target":"record","payload":{"canonical_record":{"source":{"id":"1302.0891","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-04T22:34:44Z","cross_cats_sorted":["cs.NI","math.IT"],"title_canon_sha256":"9ab8e4f16049fefb30a81ca8bf439c5ff2da6d297e7bb5c3919a566826bbe3d1","abstract_canon_sha256":"0126f766aff9d19a457520d007933c4686320009c29c27d60c1cb94f0a6d5900"},"schema_version":"1.0"},"canonical_sha256":"e1099006be395f1bd33502f6e947cea64f434fd8563c8d07d832a71b43991215","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:32.716928Z","signature_b64":"LjLZXk9yK7DpdxBCqP5bN5Rg7lQvi8nHYhdeE1LjwKaYAnFmHSsnQDtj8APFh6+c/Cj/IgYVVlr7CJOh7iRHAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1099006be395f1bd33502f6e947cea64f434fd8563c8d07d832a71b43991215","last_reissued_at":"2026-05-18T02:30:32.716416Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:32.716416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.0891","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:30:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Seo1FaTF2X0VuW5Y6FyEnAzrvfybDDyXTlcea+Vl+AQR7ufhvPPw7dMLilHjeYtCddmOUEleqizR7WTv6K5RAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T21:54:39.541836Z"},"content_sha256":"bc996b1090e113999424a5dcf986eb54951e4f87ef4bb5db9a3b3a43fc31d429","schema_version":"1.0","event_id":"sha256:bc996b1090e113999424a5dcf986eb54951e4f87ef4bb5db9a3b3a43fc31d429"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:4EEZABV6HFPRXUZVAL3OSR6OUZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large-Scale Fading Behavior for a Cellular Network with Uniform Spatial Distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NI","math.IT"],"primary_cat":"cs.IT","authors_text":"Mouhamed Abdulla, Yousef R. Shayan","submitted_at":"2013-02-04T22:34:44Z","abstract_excerpt":"Large-scale fading (LSF) between interacting nodes is a fundamental element in radio communications, responsible for weakening the propagation, and thus worsening the service quality. Given the importance of channel-losses in general, and the inevitability of random spatial geometry in real-life wireless networks, it was then natural to merge these two paradigms together in order to obtain an improved stochastical model for the LSF indicator. Therefore, in exact closed-form notation, we generically derived the LSF distribution between a prepositioned reference base-station and an arbitrary nod"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0891","kind":"arxiv","version":2},"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":"2026-05-18T02:30:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"260qRUN3SH+c7dPjRi1c5SmDs2s/DfNX6KwuZUY9klpt458/ED8NGXlP8yBDA6z38+glBUam31XWGy1l0jQ2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T21:54:39.542177Z"},"content_sha256":"b8a1fd88f4b0aeecc3fe02a0da963eba4a9e22af73079f1ec5d469f5f9bf7446","schema_version":"1.0","event_id":"sha256:b8a1fd88f4b0aeecc3fe02a0da963eba4a9e22af73079f1ec5d469f5f9bf7446"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4EEZABV6HFPRXUZVAL3OSR6OUZ/bundle.json","state_url":"https://pith.science/pith/4EEZABV6HFPRXUZVAL3OSR6OUZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4EEZABV6HFPRXUZVAL3OSR6OUZ/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":"2026-06-29T21:54:39Z","links":{"resolver":"https://pith.science/pith/4EEZABV6HFPRXUZVAL3OSR6OUZ","bundle":"https://pith.science/pith/4EEZABV6HFPRXUZVAL3OSR6OUZ/bundle.json","state":"https://pith.science/pith/4EEZABV6HFPRXUZVAL3OSR6OUZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4EEZABV6HFPRXUZVAL3OSR6OUZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4EEZABV6HFPRXUZVAL3OSR6OUZ","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":"0126f766aff9d19a457520d007933c4686320009c29c27d60c1cb94f0a6d5900","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-04T22:34:44Z","title_canon_sha256":"9ab8e4f16049fefb30a81ca8bf439c5ff2da6d297e7bb5c3919a566826bbe3d1"},"schema_version":"1.0","source":{"id":"1302.0891","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0891","created_at":"2026-05-18T02:30:32Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0891v2","created_at":"2026-05-18T02:30:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0891","created_at":"2026-05-18T02:30:32Z"},{"alias_kind":"pith_short_12","alias_value":"4EEZABV6HFPR","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"4EEZABV6HFPRXUZV","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"4EEZABV6","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:b8a1fd88f4b0aeecc3fe02a0da963eba4a9e22af73079f1ec5d469f5f9bf7446","target":"graph","created_at":"2026-05-18T02:30:32Z","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":"Large-scale fading (LSF) between interacting nodes is a fundamental element in radio communications, responsible for weakening the propagation, and thus worsening the service quality. Given the importance of channel-losses in general, and the inevitability of random spatial geometry in real-life wireless networks, it was then natural to merge these two paradigms together in order to obtain an improved stochastical model for the LSF indicator. Therefore, in exact closed-form notation, we generically derived the LSF distribution between a prepositioned reference base-station and an arbitrary nod","authors_text":"Mouhamed Abdulla, Yousef R. Shayan","cross_cats":["cs.NI","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-04T22:34:44Z","title":"Large-Scale Fading Behavior for a Cellular Network with Uniform Spatial Distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0891","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:bc996b1090e113999424a5dcf986eb54951e4f87ef4bb5db9a3b3a43fc31d429","target":"record","created_at":"2026-05-18T02:30:32Z","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":"0126f766aff9d19a457520d007933c4686320009c29c27d60c1cb94f0a6d5900","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-04T22:34:44Z","title_canon_sha256":"9ab8e4f16049fefb30a81ca8bf439c5ff2da6d297e7bb5c3919a566826bbe3d1"},"schema_version":"1.0","source":{"id":"1302.0891","kind":"arxiv","version":2}},"canonical_sha256":"e1099006be395f1bd33502f6e947cea64f434fd8563c8d07d832a71b43991215","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1099006be395f1bd33502f6e947cea64f434fd8563c8d07d832a71b43991215","first_computed_at":"2026-05-18T02:30:32.716416Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:32.716416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LjLZXk9yK7DpdxBCqP5bN5Rg7lQvi8nHYhdeE1LjwKaYAnFmHSsnQDtj8APFh6+c/Cj/IgYVVlr7CJOh7iRHAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:32.716928Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.0891","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc996b1090e113999424a5dcf986eb54951e4f87ef4bb5db9a3b3a43fc31d429","sha256:b8a1fd88f4b0aeecc3fe02a0da963eba4a9e22af73079f1ec5d469f5f9bf7446"],"state_sha256":"b6b1c3a37f7e35756850e1aa13c58522ed580e0e096ad9d49df6a5932deaad80"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1UHI0Wz3+h3JfyUri0+TqtnW/h6vaoIDYFsoznpGPIc9rLY7uUeEnZkBKf1Tu3jGCukZPq7DDJKjJI2Hu1YwAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T21:54:39.544051Z","bundle_sha256":"6c1b61c65c4dcfe53100ec1d8a288e69371be20725ca48a76ced6c07ea352c87"}}