{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JPR5ENPV62VB6VPJRHB7PHYW5V","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":"6b5a9908d6be938d4c392ca7c77f5e6278ff33daad997460b93f490f21956c50","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-04-19T00:02:41Z","title_canon_sha256":"02656bd73a1e5e0fd20eb4db33b459e59e5343e71e1051ffcc613212dc3ed70d"},"schema_version":"1.0","source":{"id":"1704.05563","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.05563","created_at":"2026-05-18T00:41:07Z"},{"alias_kind":"arxiv_version","alias_value":"1704.05563v2","created_at":"2026-05-18T00:41:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05563","created_at":"2026-05-18T00:41:07Z"},{"alias_kind":"pith_short_12","alias_value":"JPR5ENPV62VB","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JPR5ENPV62VB6VPJ","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JPR5ENPV","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:aafddf617bbf4d739f83329dfcfc56ad5e19362d0c8a059a4a5d9b5ce7057c6a","target":"graph","created_at":"2026-05-18T00:41:07Z","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":"Capable of significantly reducing cell size and enhancing spatial reuse, network densification is shown to be one of the most dominant approaches to expand network capacity. Due to the scarcity of available spectrum resources, nevertheless, the over-deployment of network infrastructures, e.g., cellular base stations (BSs), would strengthen the inter-cell interference as well, thus in turn deteriorating the system performance. On this account, we investigate the performance of downlink cellular networks in terms of user coverage probability (CP) and network spatial throughput (ST), aiming to sh","authors_text":"Jiandong Li, Junyu Liu, Kan Wang, Min Sheng","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-04-19T00:02:41Z","title":"The Impact of Antenna Height Difference on the Performance of Downlink Cellular Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05563","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:a514266070ee403a0898f543d8fe25a29db94f77852c2696794ea81056d1237f","target":"record","created_at":"2026-05-18T00:41:07Z","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":"6b5a9908d6be938d4c392ca7c77f5e6278ff33daad997460b93f490f21956c50","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-04-19T00:02:41Z","title_canon_sha256":"02656bd73a1e5e0fd20eb4db33b459e59e5343e71e1051ffcc613212dc3ed70d"},"schema_version":"1.0","source":{"id":"1704.05563","kind":"arxiv","version":2}},"canonical_sha256":"4be3d235f5f6aa1f55e989c3f79f16ed5bcbdb185828977db127a4be3951c349","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4be3d235f5f6aa1f55e989c3f79f16ed5bcbdb185828977db127a4be3951c349","first_computed_at":"2026-05-18T00:41:07.076001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:07.076001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6yoqFK/HCmf4d/fffASPooRJY4urw6Fo0Z9j47vzJqdzGPfcuQfonIlBPoBvRop2FsxD9MnlGVTH7YGr2mDWDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:07.076523Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.05563","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a514266070ee403a0898f543d8fe25a29db94f77852c2696794ea81056d1237f","sha256:aafddf617bbf4d739f83329dfcfc56ad5e19362d0c8a059a4a5d9b5ce7057c6a"],"state_sha256":"af4e067308c837efff653b33c41a39ed0910d0d915769a1fa387c25812afe1a1"}