{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YS2KRSPMV4YVTKOUI7RRXDDPFF","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":"5301b9535c32a602c92649041d3369695998c6b24c7db46ada27102b5fb1556b","cross_cats_sorted":["cs.NI","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-07-24T16:56:02Z","title_canon_sha256":"ffc5e31095b056c0dc0c38ebd98629cf4eebb61ac02070980b1b1cf8b49ba9d1"},"schema_version":"1.0","source":{"id":"1207.5746","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.5746","created_at":"2026-05-18T03:50:11Z"},{"alias_kind":"arxiv_version","alias_value":"1207.5746v1","created_at":"2026-05-18T03:50:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5746","created_at":"2026-05-18T03:50:11Z"},{"alias_kind":"pith_short_12","alias_value":"YS2KRSPMV4YV","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"YS2KRSPMV4YVTKOU","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"YS2KRSPM","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:38e4d642410f8160a903f41c6a9c33f92355f4477969a2ee4878a0abe0524740","target":"graph","created_at":"2026-05-18T03:50:11Z","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 carry out a delay stability analysis (i.e., determine conditions under which expected steady-state delays at a queue are finite) for a simple 3-queue system operated under the Max-Weight scheduling policy, for the case where one of the queues is fed by heavy-tailed traffic (i.e, when the number of arrivals at each time slot has infinite second moment). This particular system exemplifies an intricate phenomenon whereby heavy-tailed traffic at one queue may or may not result in the delay instability of another queue, depending on the arrival rates.\n  While the ordinary stability region (in th","authors_text":"Eytan Modiano, John N. Tsitsiklis, Mihalis G. Markakis","cross_cats":["cs.NI","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-07-24T16:56:02Z","title":"Delay Stability Regions of the Max-Weight Policy under Heavy-Tailed Traffic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5746","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:d068eb50565d913a4571db85a849a6712c97a7be710067861f37cd19ca6d505e","target":"record","created_at":"2026-05-18T03:50:11Z","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":"5301b9535c32a602c92649041d3369695998c6b24c7db46ada27102b5fb1556b","cross_cats_sorted":["cs.NI","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-07-24T16:56:02Z","title_canon_sha256":"ffc5e31095b056c0dc0c38ebd98629cf4eebb61ac02070980b1b1cf8b49ba9d1"},"schema_version":"1.0","source":{"id":"1207.5746","kind":"arxiv","version":1}},"canonical_sha256":"c4b4a8c9ecaf3159a9d447e31b8c6f294bbf54f54c385e32a74721d3e198e1dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4b4a8c9ecaf3159a9d447e31b8c6f294bbf54f54c385e32a74721d3e198e1dd","first_computed_at":"2026-05-18T03:50:11.440987Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:50:11.440987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fcTMYIM2GwGO4FhhDLEYGJctLfxgrhqUjGCpWSMT/O5UzLQdBE3pZCye383ytlwzYfjz8tcNrbzeGkRWe72nDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:50:11.441501Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.5746","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d068eb50565d913a4571db85a849a6712c97a7be710067861f37cd19ca6d505e","sha256:38e4d642410f8160a903f41c6a9c33f92355f4477969a2ee4878a0abe0524740"],"state_sha256":"33b44d615f5857371db861d4234074607b03b2495b4c6ea5ab003d14e24639b8"}