{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:Y6N2RQ4ATKIXY2M4ARYUSQTDYY","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":"45ee9c09ee0908d39ed3e3c32b5fe3798f035c8d2f65a802028ed8731058fc9b","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-02-03T09:53:07Z","title_canon_sha256":"6d3331d09ba1675ee0def1a911fa3264d005e7ec63f1d1e5d1c8c5f4e9809cdc"},"schema_version":"1.0","source":{"id":"1502.00794","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00794","created_at":"2026-05-18T02:28:04Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00794v1","created_at":"2026-05-18T02:28:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00794","created_at":"2026-05-18T02:28:04Z"},{"alias_kind":"pith_short_12","alias_value":"Y6N2RQ4ATKIX","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"Y6N2RQ4ATKIXY2M4","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"Y6N2RQ4A","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:5f052441890a0ef6e0308a7d7a04d4721efe81413772e1656aad670276b27c77","target":"graph","created_at":"2026-05-18T02:28:04Z","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":"The quickly increasing data traffic and the user demand for a full coverage of mobile services anywhere and anytime are leading mobile networking into a future of small cell networks. However, due to the high-density and randomness of small cell networks, there are several technical challenges. In this paper, we investigate two critical issues: \\emph{best signal quality} and \\emph{mobility management}. Under the assumptions that base stations are uniformly distributed in a ring shaped region and that shadowings are lognormal, independent and identically distributed, we prove that when the numb","authors_text":"Chung Shue Chen, Fran\\c{c}ois Baccelli, Laurent Thomas, Van Minh Nguyen","cross_cats":["cs.NI","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-02-03T09:53:07Z","title":"Best Signal Quality in Cellular Networks: Asymptotic Properties and Applications to Mobility Management in Small Cell Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00794","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:cff4e466f08d0052f379c39e6097661b5a3e17474f88c57dc440e05775839aa2","target":"record","created_at":"2026-05-18T02:28:04Z","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":"45ee9c09ee0908d39ed3e3c32b5fe3798f035c8d2f65a802028ed8731058fc9b","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-02-03T09:53:07Z","title_canon_sha256":"6d3331d09ba1675ee0def1a911fa3264d005e7ec63f1d1e5d1c8c5f4e9809cdc"},"schema_version":"1.0","source":{"id":"1502.00794","kind":"arxiv","version":1}},"canonical_sha256":"c79ba8c3809a917c699c0471494263c620f8d87c54672ebf19e5567eb6dfdc97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c79ba8c3809a917c699c0471494263c620f8d87c54672ebf19e5567eb6dfdc97","first_computed_at":"2026-05-18T02:28:04.279871Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:04.279871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xml0YArS+Cm+vNVGECV5FUsGV3J6nSyZnqvweXaIV3vADkH4M5n4UuXoKtl4C3udogVB3MI7vH984oqGryGrDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:04.280331Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.00794","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cff4e466f08d0052f379c39e6097661b5a3e17474f88c57dc440e05775839aa2","sha256:5f052441890a0ef6e0308a7d7a04d4721efe81413772e1656aad670276b27c77"],"state_sha256":"7dd8737dcc3f4218148d689819af82c7b97ae6ab39dc90e05fd3146db2f5e62e"}