{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FL76DSDRDWGJGOULIKEKXPV2MQ","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":"ea0d9a44e891f87748302505ff51668a2b37c31683e4c7dc0871650d658aee28","cross_cats_sorted":["cs.IT","math.IT","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2013-01-16T06:54:59Z","title_canon_sha256":"30800fe87dcc9f5e77729beac0b679bdd930537863a14d41e9d9811b300de83a"},"schema_version":"1.0","source":{"id":"1301.3601","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.3601","created_at":"2026-05-18T03:36:17Z"},{"alias_kind":"arxiv_version","alias_value":"1301.3601v1","created_at":"2026-05-18T03:36:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3601","created_at":"2026-05-18T03:36:17Z"},{"alias_kind":"pith_short_12","alias_value":"FL76DSDRDWGJ","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FL76DSDRDWGJGOUL","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FL76DSDR","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:8366811803207bddc46c8638a8af1a92a50bfd412c1cc81d74d341874d05427f","target":"graph","created_at":"2026-05-18T03:36:17Z","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 this work, we assess the viability of heterogeneous networks composed of legacy macrocells which are underlaid with self-organizing picocells. Aiming to improve coverage, cell-edge throughput and overall system capacity, self-organizing solutions, such as range expansion bias, almost blank subframe and distributed antenna systems are considered. Herein, stochastic geometry is used to model network deployments, while higher-order statistics through the cumulants concept is utilized to characterize the probability distribution of the received power and aggregate interference at the user of in","authors_text":"Carlos H. M. de Lima, Matti Latva-aho, Mehdi Bennis","cross_cats":["cs.IT","math.IT","stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2013-01-16T06:54:59Z","title":"Statistical Analysis of Self-Organizing Networks with Biased Cell Association and Interference Avoidance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3601","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:b8dcc970b4b61c93be6d4596258195b70d42f83dcbf9063080be6358958b1854","target":"record","created_at":"2026-05-18T03:36:17Z","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":"ea0d9a44e891f87748302505ff51668a2b37c31683e4c7dc0871650d658aee28","cross_cats_sorted":["cs.IT","math.IT","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2013-01-16T06:54:59Z","title_canon_sha256":"30800fe87dcc9f5e77729beac0b679bdd930537863a14d41e9d9811b300de83a"},"schema_version":"1.0","source":{"id":"1301.3601","kind":"arxiv","version":1}},"canonical_sha256":"2affe1c8711d8c933a8b4288abbeba6427cbc7c4440f3d811360db855bc3d8b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2affe1c8711d8c933a8b4288abbeba6427cbc7c4440f3d811360db855bc3d8b5","first_computed_at":"2026-05-18T03:36:17.378034Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:17.378034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xuD9DelUCicRwgd/LD9qolrFdz5yLYK/H7vEi2JoZb4jIqbRfxhpstNVbvVzY7W4yAorljxvmZzyDYwsxOO+AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:17.378664Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.3601","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8dcc970b4b61c93be6d4596258195b70d42f83dcbf9063080be6358958b1854","sha256:8366811803207bddc46c8638a8af1a92a50bfd412c1cc81d74d341874d05427f"],"state_sha256":"abb41ef47690a57413065d7d6b4772d9fb783b8ffc09e2dcd0df03f4fdb3ede2"}