{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OB7BVHHVRBVTJ25IL5HDXZ5344","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":"d094fa5d39ded2a67a1a3be5a9f9f33e042bcce6cde0168f9d5e2137cdc8110a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2012-07-27T19:57:41Z","title_canon_sha256":"2456714a970c5eaacfcac168cb97497654f16e0cf267f041f61c520f5dafca35"},"schema_version":"1.0","source":{"id":"1207.6630","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.6630","created_at":"2026-05-18T03:49:58Z"},{"alias_kind":"arxiv_version","alias_value":"1207.6630v1","created_at":"2026-05-18T03:49:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.6630","created_at":"2026-05-18T03:49:58Z"},{"alias_kind":"pith_short_12","alias_value":"OB7BVHHVRBVT","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OB7BVHHVRBVTJ25I","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OB7BVHHV","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:e72c00702c41062b21d6e74b7f347ec5d3cf7ca139896b5acd4e0a3045a2aaf6","target":"graph","created_at":"2026-05-18T03:49:58Z","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":"A fundamental problem in the delay and backlog analysis across multi-hop paths in wireless networks is how to account for the random properties of the wireless channel. Since the usual statistical models for radio signals in a propagation environment do not lend themselves easily to a description of the available service rate on a wireless link, the performance analysis of wireless networks has resorted to higher-layer abstractions, e.g., using Markov chain models. In this work, we propose a network calculus that can incorporate common statistical models of fading channels and obtain statistic","authors_text":"Almut Burchard, Hussein Al-Zubaidy, Jorg Liebeherr","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2012-07-27T19:57:41Z","title":"A Network Calculus Approach for the Analysis of Multi-Hop Fading Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.6630","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":"sha256:9fb1429b2e4ba2b5c10bfd99634e079c584ce17453d5956dcfd403cf57dc6cc7","target":"record","created_at":"2026-05-18T03:49:58Z","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":"d094fa5d39ded2a67a1a3be5a9f9f33e042bcce6cde0168f9d5e2137cdc8110a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2012-07-27T19:57:41Z","title_canon_sha256":"2456714a970c5eaacfcac168cb97497654f16e0cf267f041f61c520f5dafca35"},"schema_version":"1.0","source":{"id":"1207.6630","kind":"arxiv","version":1}},"canonical_sha256":"707e1a9cf5886b34eba85f4e3be7bbe729ac809d69f5e3947309da266a90adeb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"707e1a9cf5886b34eba85f4e3be7bbe729ac809d69f5e3947309da266a90adeb","first_computed_at":"2026-05-18T03:49:58.930897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:58.930897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PVKV9/bcFeGZodllM9lMlMvflzQISstEDsriimSbsW1KmAIlVM7U1Ph3lxvDQIwG/H1fQi3gkkqpb8c6Ow1CCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:58.931430Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.6630","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fb1429b2e4ba2b5c10bfd99634e079c584ce17453d5956dcfd403cf57dc6cc7","sha256:e72c00702c41062b21d6e74b7f347ec5d3cf7ca139896b5acd4e0a3045a2aaf6"],"state_sha256":"1e53768afcbcecec1c3a94f9c0870897a680290e761e41214563030cbf9fe32c"}