{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:5X55JMJYXXT2VDR4EDVQWDTVMG","short_pith_number":"pith:5X55JMJY","schema_version":"1.0","canonical_sha256":"edfbd4b138bde7aa8e3c20eb0b0e7561baa36c5587932d890e77c63ada0aca5a","source":{"kind":"arxiv","id":"0801.0938","version":2},"attestation_state":"computed","paper":{"title":"Cognitive Networks Achieve Throughput Scaling of a Homogeneous Network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Mai Vu, Natasha Devroye, Sae-Young Chung, Sang-Woon Jeon, Vahid Tarokh","submitted_at":"2008-01-07T10:52:39Z","abstract_excerpt":"We study two distinct, but overlapping, networks that operate at the same time, space, and frequency. The first network consists of $n$ randomly distributed \\emph{primary users}, which form either an ad hoc network, or an infrastructure-supported ad hoc network with $l$ additional base stations. The second network consists of $m$ randomly distributed, ad hoc secondary users or cognitive users. The primary users have priority access to the spectrum and do not need to change their communication protocol in the presence of secondary users. The secondary users, however, need to adjust their protoc"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0801.0938","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2008-01-07T10:52:39Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8b0e9ccdb9deaf8beb1b94f4a2ef270f4e1a9e5dc881b9104884cd7204b92b0d","abstract_canon_sha256":"f2912557f456deb13757f49b413c2fc1c396302ac1c3c61d1b17fd34cf3b8761"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:48.733198Z","signature_b64":"mJZYXXdWREJqgjyxqliV/IRTaMTWjSonK/XSoulAtI+4g0/rMDrj+3HXAyxALOYR5e11QhEIFzTqP79QfyoLCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"edfbd4b138bde7aa8e3c20eb0b0e7561baa36c5587932d890e77c63ada0aca5a","last_reissued_at":"2026-05-18T00:58:48.732592Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:48.732592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cognitive Networks Achieve Throughput Scaling of a Homogeneous Network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Mai Vu, Natasha Devroye, Sae-Young Chung, Sang-Woon Jeon, Vahid Tarokh","submitted_at":"2008-01-07T10:52:39Z","abstract_excerpt":"We study two distinct, but overlapping, networks that operate at the same time, space, and frequency. The first network consists of $n$ randomly distributed \\emph{primary users}, which form either an ad hoc network, or an infrastructure-supported ad hoc network with $l$ additional base stations. The second network consists of $m$ randomly distributed, ad hoc secondary users or cognitive users. The primary users have priority access to the spectrum and do not need to change their communication protocol in the presence of secondary users. The secondary users, however, need to adjust their protoc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.0938","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"0801.0938","created_at":"2026-05-18T00:58:48.732690+00:00"},{"alias_kind":"arxiv_version","alias_value":"0801.0938v2","created_at":"2026-05-18T00:58:48.732690+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.0938","created_at":"2026-05-18T00:58:48.732690+00:00"},{"alias_kind":"pith_short_12","alias_value":"5X55JMJYXXT2","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"5X55JMJYXXT2VDR4","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"5X55JMJY","created_at":"2026-05-18T12:25:56.245647+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5X55JMJYXXT2VDR4EDVQWDTVMG","json":"https://pith.science/pith/5X55JMJYXXT2VDR4EDVQWDTVMG.json","graph_json":"https://pith.science/api/pith-number/5X55JMJYXXT2VDR4EDVQWDTVMG/graph.json","events_json":"https://pith.science/api/pith-number/5X55JMJYXXT2VDR4EDVQWDTVMG/events.json","paper":"https://pith.science/paper/5X55JMJY"},"agent_actions":{"view_html":"https://pith.science/pith/5X55JMJYXXT2VDR4EDVQWDTVMG","download_json":"https://pith.science/pith/5X55JMJYXXT2VDR4EDVQWDTVMG.json","view_paper":"https://pith.science/paper/5X55JMJY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0801.0938&json=true","fetch_graph":"https://pith.science/api/pith-number/5X55JMJYXXT2VDR4EDVQWDTVMG/graph.json","fetch_events":"https://pith.science/api/pith-number/5X55JMJYXXT2VDR4EDVQWDTVMG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5X55JMJYXXT2VDR4EDVQWDTVMG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5X55JMJYXXT2VDR4EDVQWDTVMG/action/storage_attestation","attest_author":"https://pith.science/pith/5X55JMJYXXT2VDR4EDVQWDTVMG/action/author_attestation","sign_citation":"https://pith.science/pith/5X55JMJYXXT2VDR4EDVQWDTVMG/action/citation_signature","submit_replication":"https://pith.science/pith/5X55JMJYXXT2VDR4EDVQWDTVMG/action/replication_record"}},"created_at":"2026-05-18T00:58:48.732690+00:00","updated_at":"2026-05-18T00:58:48.732690+00:00"}