{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:AM5OK6YUYKQVWHAJ45BSH7GTHO","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":"f0863857c2ba0fcf7233005e2e91042e25fab5e7797c6eaaeefef6eb1a352ede","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-08T03:35:09Z","title_canon_sha256":"55f1235812ea7189a0548583f027a74e7ffa7f8fed36a17c286bff56ebadaeed"},"schema_version":"1.0","source":{"id":"1402.1815","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1815","created_at":"2026-05-18T01:42:57Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1815v2","created_at":"2026-05-18T01:42:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1815","created_at":"2026-05-18T01:42:57Z"},{"alias_kind":"pith_short_12","alias_value":"AM5OK6YUYKQV","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AM5OK6YUYKQVWHAJ","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AM5OK6YU","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:39a2decba492cb55cb16567ffb727faf4fef6d2dac5fc25746f599dfc7b94b53","target":"graph","created_at":"2026-05-18T01:42:57Z","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":"We consider a D2D wireless network where $n$ users are densely deployed in a squared planar region and communicate with each other without the help of a wired infrastructure. For this network, we examine the 3-phase hierarchical cooperation (HC) scheme and the 2-phase improved HC scheme based on the concept of {\\em network multiple access}. Exploiting recent results on the optimality of treating interference as noise in Gaussian interference channels, we optimize the achievable average per-link rate and not just its scaling law. In addition, we provide further improvements on both the previous","authors_text":"Giuseppe Caire, Song-Nam Hong","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-08T03:35:09Z","title":"On the Performance of Optimized Dense Device-to-Device Wireless Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1815","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:e94dfc840c31e1ec3b221924c94eba6adc0707d2132700adf0fa8455a6da3c78","target":"record","created_at":"2026-05-18T01:42:57Z","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":"f0863857c2ba0fcf7233005e2e91042e25fab5e7797c6eaaeefef6eb1a352ede","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-08T03:35:09Z","title_canon_sha256":"55f1235812ea7189a0548583f027a74e7ffa7f8fed36a17c286bff56ebadaeed"},"schema_version":"1.0","source":{"id":"1402.1815","kind":"arxiv","version":2}},"canonical_sha256":"033ae57b14c2a15b1c09e74323fcd33b90ecc074d93174eb4da59670082c1dd2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"033ae57b14c2a15b1c09e74323fcd33b90ecc074d93174eb4da59670082c1dd2","first_computed_at":"2026-05-18T01:42:57.549505Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:57.549505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I5elxqEEamjGaMC9+jMmgptiR/iLDDsksRQF0nB9L3R5V2yfwVUYvcKZQk/AGlPV5fPl1z9o1lYoXjOu7jtxAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:57.550153Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.1815","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e94dfc840c31e1ec3b221924c94eba6adc0707d2132700adf0fa8455a6da3c78","sha256:39a2decba492cb55cb16567ffb727faf4fef6d2dac5fc25746f599dfc7b94b53"],"state_sha256":"f6380aaff1c21a1c1f56ca38e4a775b96dc17c958d7e231b0afbabec9e403e0f"}