{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:KR47KTTK4ISDPEQPDMQT3FIX3S","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":"f577af32f641412359743a8dfb85d457f590440d07ede5fa36ed0a11badadfee","cross_cats_sorted":[],"license":"","primary_cat":"cs.NI","submitted_at":"2007-10-27T16:04:49Z","title_canon_sha256":"4c031cfbe1ec93a39b232a1e590a9d3b7dfcb2dbc777abf7b8582a90a0405cb7"},"schema_version":"1.0","source":{"id":"0710.5238","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.5238","created_at":"2026-05-18T00:58:25Z"},{"alias_kind":"arxiv_version","alias_value":"0710.5238v1","created_at":"2026-05-18T00:58:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.5238","created_at":"2026-05-18T00:58:25Z"},{"alias_kind":"pith_short_12","alias_value":"KR47KTTK4ISD","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"KR47KTTK4ISDPEQP","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"KR47KTTK","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:84b01b9407aabc96b1db6617f519dc181090b733659eafa58b3da045235aaf30","target":"graph","created_at":"2026-05-18T00:58:25Z","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 propose a linear model of the throughput of the IEEE 802.11 Distributed Coordination Function (DCF) protocol at the data link layer in non-saturated traffic conditions. We show that the throughput is a linear function of the packet arrival rate (PAR) $\\lambda$ with a slope depending on both the number of contending stations and the average payload length. We also derive the interval of validity of the proposed model by showing the presence of a critical $\\lambda$, above which the station begins operating in saturated traffic conditions.\n  The analysis is based on the multi-dimensional Marko","authors_text":"F. Daneshgaran, F. Mesiti, Massimiliano Laddomada, M. Mondin","cross_cats":[],"headline":"","license":"","primary_cat":"cs.NI","submitted_at":"2007-10-27T16:04:49Z","title":"On The Linear Behaviour of the Throughput of IEEE 802.11 DCF in Non-Saturated Conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.5238","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":"sha256:70796e151f4441532556422713ddd98cddfd946758e9abdad2c502d26be4871b","target":"record","created_at":"2026-05-18T00:58:25Z","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":"f577af32f641412359743a8dfb85d457f590440d07ede5fa36ed0a11badadfee","cross_cats_sorted":[],"license":"","primary_cat":"cs.NI","submitted_at":"2007-10-27T16:04:49Z","title_canon_sha256":"4c031cfbe1ec93a39b232a1e590a9d3b7dfcb2dbc777abf7b8582a90a0405cb7"},"schema_version":"1.0","source":{"id":"0710.5238","kind":"arxiv","version":1}},"canonical_sha256":"5479f54e6ae22437920f1b213d9517dcbee3b2aa747c42576c3302acbbeba2e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5479f54e6ae22437920f1b213d9517dcbee3b2aa747c42576c3302acbbeba2e7","first_computed_at":"2026-05-18T00:58:25.977305Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:25.977305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7UwAVG/iOrXrzvqOQfdPOwY5u0Vdggjrg0uMtOiR6aV573yNJOmzxKk6lxWM+EA62EW66/ehd3sHwSXZr8OQCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:25.978062Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.5238","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70796e151f4441532556422713ddd98cddfd946758e9abdad2c502d26be4871b","sha256:84b01b9407aabc96b1db6617f519dc181090b733659eafa58b3da045235aaf30"],"state_sha256":"b7147e84c8e5f61eddfa61b881980b54f9438d3fa449f1dd2f4b0eef80d342c1"}