{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:7CTWW4OT372YJVAT6CTY2QO6GT","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":"89fb336c977a908f92b3d5c8f1eb305615deadc4bbd41695d6fc10c40e065811","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2008-10-21T16:04:16Z","title_canon_sha256":"f6cdf6ae1315851f4958952abc37cb61271359ded427bd71200d25e843a0f9ab"},"schema_version":"1.0","source":{"id":"0810.3869","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.3869","created_at":"2026-05-18T00:57:58Z"},{"alias_kind":"arxiv_version","alias_value":"0810.3869v4","created_at":"2026-05-18T00:57:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.3869","created_at":"2026-05-18T00:57:58Z"},{"alias_kind":"pith_short_12","alias_value":"7CTWW4OT372Y","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"7CTWW4OT372YJVAT","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"7CTWW4OT","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:25acce3875c9074c0872a56cd5c18e5c3152c8e677db8db8cdacab86689e4796","target":"graph","created_at":"2026-05-18T00:57:58Z","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":"In a two tier cellular network -- comprised of a central macrocell underlaid with shorter range femtocell hotspots -- cross-tier interference limits overall capacity with universal frequency reuse. To quantify near-far effects with universal frequency reuse, this paper derives a fundamental relation providing the largest feasible cellular Signal-to-Interference-Plus-Noise Ratio (SINR), given any set of feasible femtocell SINRs. We provide a link budget analysis which enables simple and accurate performance insights in a two-tier network. A distributed utility-based SINR adaptation at femtocell","authors_text":"Alan Gatherer, Jeffrey G. Andrews, Tarik Muharemovic, Vikram Chandrasekhar, Zukang Shen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2008-10-21T16:04:16Z","title":"Power Control in Two-Tier Femtocell Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.3869","kind":"arxiv","version":4},"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:f876fbe101d9008dadb747d470a293a348e4f22a0dfc5d4ecb51da81ddadb9c7","target":"record","created_at":"2026-05-18T00:57:58Z","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":"89fb336c977a908f92b3d5c8f1eb305615deadc4bbd41695d6fc10c40e065811","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2008-10-21T16:04:16Z","title_canon_sha256":"f6cdf6ae1315851f4958952abc37cb61271359ded427bd71200d25e843a0f9ab"},"schema_version":"1.0","source":{"id":"0810.3869","kind":"arxiv","version":4}},"canonical_sha256":"f8a76b71d3dff584d413f0a78d41de34d093e4cb6b4a536b0f2ad22303d770e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8a76b71d3dff584d413f0a78d41de34d093e4cb6b4a536b0f2ad22303d770e5","first_computed_at":"2026-05-18T00:57:58.418691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:58.418691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EvJUY/y+bgHlEvLmf8W6oUw55kSmGB1wQ2yrnvZ5tQj2V4dw6ZdTYxQSgc6hjnsp8AlfQdoGgQWMrn1dCqvxAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:58.419250Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.3869","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f876fbe101d9008dadb747d470a293a348e4f22a0dfc5d4ecb51da81ddadb9c7","sha256:25acce3875c9074c0872a56cd5c18e5c3152c8e677db8db8cdacab86689e4796"],"state_sha256":"2cd4d56a7b1c77b4901f0719e64e8404057b1bc18d99c7c902993b22b0b83441"}