{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:4YKINOACV35OIY27WTYJ5GB5H7","short_pith_number":"pith:4YKINOAC","canonical_record":{"source":{"id":"1607.03280","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-12T09:23:44Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f2965fa4f6e297cff9302c4e21c1c8bcb80e4fd4b7977828435e245ecb166138","abstract_canon_sha256":"7b336eb36d5ec67c33496c92a2c9bbbd1742e3381c375b866b0d04471cc5c2c8"},"schema_version":"1.0"},"canonical_sha256":"e61486b802aefae4635fb4f09e983d3fc947612a36a8545bd325a0d8c3814c4a","source":{"kind":"arxiv","id":"1607.03280","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.03280","created_at":"2026-05-18T01:11:09Z"},{"alias_kind":"arxiv_version","alias_value":"1607.03280v1","created_at":"2026-05-18T01:11:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.03280","created_at":"2026-05-18T01:11:09Z"},{"alias_kind":"pith_short_12","alias_value":"4YKINOACV35O","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4YKINOACV35OIY27","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4YKINOAC","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:4YKINOACV35OIY27WTYJ5GB5H7","target":"record","payload":{"canonical_record":{"source":{"id":"1607.03280","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-12T09:23:44Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f2965fa4f6e297cff9302c4e21c1c8bcb80e4fd4b7977828435e245ecb166138","abstract_canon_sha256":"7b336eb36d5ec67c33496c92a2c9bbbd1742e3381c375b866b0d04471cc5c2c8"},"schema_version":"1.0"},"canonical_sha256":"e61486b802aefae4635fb4f09e983d3fc947612a36a8545bd325a0d8c3814c4a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:09.373693Z","signature_b64":"mGan7Qf3sWhHgPOFE750MMq1xnVRiOZ0Z2LwM9ehh/0ScWiu5bd0aNMCju+y4Dqe69biGPohcuVhFWnNM0r9DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e61486b802aefae4635fb4f09e983d3fc947612a36a8545bd325a0d8c3814c4a","last_reissued_at":"2026-05-18T01:11:09.372867Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:09.372867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.03280","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":"2026-05-18T01:11:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jxa7nKP0Y0FxsoJWtJXzUFqNCE69GnbjMEhKbsBaC0j97mJJcIdhAHqQZyhiouRp5RcIusQ7dZbSx6la3jglBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T23:03:50.317512Z"},"content_sha256":"43fa42c343d27847aed435595726a54c976030bbf210000162ffc0255791871c","schema_version":"1.0","event_id":"sha256:43fa42c343d27847aed435595726a54c976030bbf210000162ffc0255791871c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:4YKINOACV35OIY27WTYJ5GB5H7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytical and Simulation Performance of a Typical User in Random Cellular Network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Kumbesan Sandrasegaran, Sinh Cong Lam","submitted_at":"2016-07-12T09:23:44Z","abstract_excerpt":"Spatial Poisson Point Process (PPP) network, whose Base Stations (BS)s are distributed according to a Poisson distribution, is currently used as a accurate model to analyse the performance of a cellular network. Most current work on evaluation of PPP network in Rayleigh fading channels are usually assumed that the BSs have fixed transmission power levels and there is only a Resource Block (RB) or a user in each cell. In this paper, the Rayleigh-Lognormal fading channels are considered, and it is assumed that each cell is allocated $N$ Resource Blocks (RB) to serve M users. Furthermore, the ser"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.03280","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":"2026-05-18T01:11:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M7pbWkbfYlrzFoX8RQnk9H2j2ANQpHWAvVpMwlfe6rS0KzQf26rwT8Q2c/aXN8A4U+1XCCjxTsQVw0ll9UdVBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T23:03:50.317851Z"},"content_sha256":"b654100cdc9c3e9d45bdf79062a1eb613cd1e704c2090ede533a1a081fc6a0f4","schema_version":"1.0","event_id":"sha256:b654100cdc9c3e9d45bdf79062a1eb613cd1e704c2090ede533a1a081fc6a0f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4YKINOACV35OIY27WTYJ5GB5H7/bundle.json","state_url":"https://pith.science/pith/4YKINOACV35OIY27WTYJ5GB5H7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4YKINOACV35OIY27WTYJ5GB5H7/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":"2026-06-26T23:03:50Z","links":{"resolver":"https://pith.science/pith/4YKINOACV35OIY27WTYJ5GB5H7","bundle":"https://pith.science/pith/4YKINOACV35OIY27WTYJ5GB5H7/bundle.json","state":"https://pith.science/pith/4YKINOACV35OIY27WTYJ5GB5H7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4YKINOACV35OIY27WTYJ5GB5H7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4YKINOACV35OIY27WTYJ5GB5H7","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":"7b336eb36d5ec67c33496c92a2c9bbbd1742e3381c375b866b0d04471cc5c2c8","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-12T09:23:44Z","title_canon_sha256":"f2965fa4f6e297cff9302c4e21c1c8bcb80e4fd4b7977828435e245ecb166138"},"schema_version":"1.0","source":{"id":"1607.03280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.03280","created_at":"2026-05-18T01:11:09Z"},{"alias_kind":"arxiv_version","alias_value":"1607.03280v1","created_at":"2026-05-18T01:11:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.03280","created_at":"2026-05-18T01:11:09Z"},{"alias_kind":"pith_short_12","alias_value":"4YKINOACV35O","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4YKINOACV35OIY27","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4YKINOAC","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:b654100cdc9c3e9d45bdf79062a1eb613cd1e704c2090ede533a1a081fc6a0f4","target":"graph","created_at":"2026-05-18T01:11:09Z","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":"Spatial Poisson Point Process (PPP) network, whose Base Stations (BS)s are distributed according to a Poisson distribution, is currently used as a accurate model to analyse the performance of a cellular network. Most current work on evaluation of PPP network in Rayleigh fading channels are usually assumed that the BSs have fixed transmission power levels and there is only a Resource Block (RB) or a user in each cell. In this paper, the Rayleigh-Lognormal fading channels are considered, and it is assumed that each cell is allocated $N$ Resource Blocks (RB) to serve M users. Furthermore, the ser","authors_text":"Kumbesan Sandrasegaran, Sinh Cong Lam","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-12T09:23:44Z","title":"Analytical and Simulation Performance of a Typical User in Random Cellular Network"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.03280","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":"sha256:43fa42c343d27847aed435595726a54c976030bbf210000162ffc0255791871c","target":"record","created_at":"2026-05-18T01:11:09Z","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":"7b336eb36d5ec67c33496c92a2c9bbbd1742e3381c375b866b0d04471cc5c2c8","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-12T09:23:44Z","title_canon_sha256":"f2965fa4f6e297cff9302c4e21c1c8bcb80e4fd4b7977828435e245ecb166138"},"schema_version":"1.0","source":{"id":"1607.03280","kind":"arxiv","version":1}},"canonical_sha256":"e61486b802aefae4635fb4f09e983d3fc947612a36a8545bd325a0d8c3814c4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e61486b802aefae4635fb4f09e983d3fc947612a36a8545bd325a0d8c3814c4a","first_computed_at":"2026-05-18T01:11:09.372867Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:09.372867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mGan7Qf3sWhHgPOFE750MMq1xnVRiOZ0Z2LwM9ehh/0ScWiu5bd0aNMCju+y4Dqe69biGPohcuVhFWnNM0r9DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:09.373693Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.03280","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43fa42c343d27847aed435595726a54c976030bbf210000162ffc0255791871c","sha256:b654100cdc9c3e9d45bdf79062a1eb613cd1e704c2090ede533a1a081fc6a0f4"],"state_sha256":"78dad07b00c9f41b2483d89fffe7c2ef0e674f8135782cd73bfd9d038b996e5b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vnvQzZnVohtOdFhjh2Z6UxvOrRKISsA/XsRkY34umWKQDykUFGno813HTJE1ff1cnqFaLIPfoqfujxLi3UNZCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T23:03:50.319681Z","bundle_sha256":"eb56f03e09d985fbeb50bc793e4d2099630c9f8680028c7d39cca3c6b3a30785"}}