{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:RPZ3LWGDIUAHEEFFD5IDGFBQSK","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":"cbbe47c3aab637fd1ceec1a863f777ee6a73d3e3c92d65ecded3046c2fe9b8e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2011-02-22T11:30:35Z","title_canon_sha256":"d579ea221075041fc8dc29984168639d8d407aa4c2e4f70011bf037e7d797b1c"},"schema_version":"1.0","source":{"id":"1102.4469","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.4469","created_at":"2026-05-18T04:28:08Z"},{"alias_kind":"arxiv_version","alias_value":"1102.4469v1","created_at":"2026-05-18T04:28:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4469","created_at":"2026-05-18T04:28:08Z"},{"alias_kind":"pith_short_12","alias_value":"RPZ3LWGDIUAH","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RPZ3LWGDIUAHEEFF","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RPZ3LWGD","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:33ec367dece40e188d12eea89d567bc16f0fdfb7984aa12faefb110e7803b6ed","target":"graph","created_at":"2026-05-18T04:28:08Z","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 paper we establish the log-convexity of the rate region in 802.11 WLANs. This generalises previous results for Aloha networks and has immediate implications for optimisation based approaches to the analysis and design of 802.11 wireless networks.","authors_text":"Douglas J. Leith, Ken R. Duffy, Vijay G. Subramanian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2011-02-22T11:30:35Z","title":"Log-Convexity of Rate Region in 802.11e WLANs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4469","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:adb2f968fd648f2942a74836686044b0329fac1c1ad061ce67f95993493fad05","target":"record","created_at":"2026-05-18T04:28:08Z","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":"cbbe47c3aab637fd1ceec1a863f777ee6a73d3e3c92d65ecded3046c2fe9b8e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2011-02-22T11:30:35Z","title_canon_sha256":"d579ea221075041fc8dc29984168639d8d407aa4c2e4f70011bf037e7d797b1c"},"schema_version":"1.0","source":{"id":"1102.4469","kind":"arxiv","version":1}},"canonical_sha256":"8bf3b5d8c345007210a51f5033143092a55eb6a6a834068162931f47757decb3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bf3b5d8c345007210a51f5033143092a55eb6a6a834068162931f47757decb3","first_computed_at":"2026-05-18T04:28:08.875561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:08.875561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FyF6AhrlBk3huX6i2Ym2CWiDQoBIKqFWHwdLOSSgIrPpsOtdcR5HsKGPLPuvSdnncpm30LYD+B4+sjQdSPkgDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:08.876448Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.4469","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:adb2f968fd648f2942a74836686044b0329fac1c1ad061ce67f95993493fad05","sha256:33ec367dece40e188d12eea89d567bc16f0fdfb7984aa12faefb110e7803b6ed"],"state_sha256":"96aae247f4178c38ff3aca33d8207f90ea21eb2295d9b65516c28b8670af8b2b"}