{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:NJXPT6Y4YGRW5NDAAGAYBU3EKO","short_pith_number":"pith:NJXPT6Y4","canonical_record":{"source":{"id":"1112.1181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-12-06T07:47:01Z","cross_cats_sorted":["cs.SY","math.IT"],"title_canon_sha256":"e8132702009d8670923acb4029d4a4e62060a88bfbac9594d355ba313a144269","abstract_canon_sha256":"109d4f63f85f7e32cf6221281af355ccfae61e3d327c4e1c7ff583f1ea95f963"},"schema_version":"1.0"},"canonical_sha256":"6a6ef9fb1cc1a36eb460018180d36453935dc1f9ac5b946ad3568f91eaa19110","source":{"kind":"arxiv","id":"1112.1181","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1181","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1181v1","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1181","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"pith_short_12","alias_value":"NJXPT6Y4YGRW","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NJXPT6Y4YGRW5NDA","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NJXPT6Y4","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:NJXPT6Y4YGRW5NDAAGAYBU3EKO","target":"record","payload":{"canonical_record":{"source":{"id":"1112.1181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-12-06T07:47:01Z","cross_cats_sorted":["cs.SY","math.IT"],"title_canon_sha256":"e8132702009d8670923acb4029d4a4e62060a88bfbac9594d355ba313a144269","abstract_canon_sha256":"109d4f63f85f7e32cf6221281af355ccfae61e3d327c4e1c7ff583f1ea95f963"},"schema_version":"1.0"},"canonical_sha256":"6a6ef9fb1cc1a36eb460018180d36453935dc1f9ac5b946ad3568f91eaa19110","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:27.909969Z","signature_b64":"u+cj6Q4ULOdsAaNAbeZX2/sktkk8lvng4JiLN6p6EXjeQcUCU4ksJ90s9bIFp6mH7WEkq/CbkeyVnti6sAcOAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a6ef9fb1cc1a36eb460018180d36453935dc1f9ac5b946ad3568f91eaa19110","last_reissued_at":"2026-05-18T02:21:27.909234Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:27.909234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.1181","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:21:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XxC/QJuUN8M+u23c9XJ2ELaudUAY+aMzufYOxbHIaUWZ7zq3JpTzwigrERtmjbVNanS7iJYsbc+Au7EaahcZAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:53:17.961623Z"},"content_sha256":"8704581aac4635a97097969df225bc9f77299f44d5c0f293d9d40bc7a5619d8d","schema_version":"1.0","event_id":"sha256:8704581aac4635a97097969df225bc9f77299f44d5c0f293d9d40bc7a5619d8d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:NJXPT6Y4YGRW5NDAAGAYBU3EKO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Stability Region of Multi-Queue Multi-Server Queueing Systems with Stationary Channel Distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.IT"],"primary_cat":"cs.IT","authors_text":"Chung-Horng Lung, Hassan Halabian, Ioannis Lambadaris","submitted_at":"2011-12-06T07:47:01Z","abstract_excerpt":"In this paper, we characterize the stability region of multi-queue multi-server (MQMS) queueing systems with stationary channel and packet arrival processes. Toward this, the necessary and sufficient conditions for the stability of the system are derived under general arrival processes with finite first and second moments. We show that when the arrival processes are stationary, the stability region form is a polytope for which we explicitly find the coefficients of the linear inequalities which characterize the stability region polytope."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1181","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:21:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c7HzqeA3Kso00Q6p338k8dhpM+PBif2m7/Qh5c2bmq1vlBjrE8TcQI2zsTCQe7tyjxLGimTjQnFxpzHQO33/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:53:17.962366Z"},"content_sha256":"4abbda832a9af1a8fc015b33fdb36ed147bb3ab0445589664b40e1ea717ef8d1","schema_version":"1.0","event_id":"sha256:4abbda832a9af1a8fc015b33fdb36ed147bb3ab0445589664b40e1ea717ef8d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NJXPT6Y4YGRW5NDAAGAYBU3EKO/bundle.json","state_url":"https://pith.science/pith/NJXPT6Y4YGRW5NDAAGAYBU3EKO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NJXPT6Y4YGRW5NDAAGAYBU3EKO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-06T06:53:17Z","links":{"resolver":"https://pith.science/pith/NJXPT6Y4YGRW5NDAAGAYBU3EKO","bundle":"https://pith.science/pith/NJXPT6Y4YGRW5NDAAGAYBU3EKO/bundle.json","state":"https://pith.science/pith/NJXPT6Y4YGRW5NDAAGAYBU3EKO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NJXPT6Y4YGRW5NDAAGAYBU3EKO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NJXPT6Y4YGRW5NDAAGAYBU3EKO","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":"109d4f63f85f7e32cf6221281af355ccfae61e3d327c4e1c7ff583f1ea95f963","cross_cats_sorted":["cs.SY","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-12-06T07:47:01Z","title_canon_sha256":"e8132702009d8670923acb4029d4a4e62060a88bfbac9594d355ba313a144269"},"schema_version":"1.0","source":{"id":"1112.1181","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1181","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1181v1","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1181","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"pith_short_12","alias_value":"NJXPT6Y4YGRW","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NJXPT6Y4YGRW5NDA","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NJXPT6Y4","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:4abbda832a9af1a8fc015b33fdb36ed147bb3ab0445589664b40e1ea717ef8d1","target":"graph","created_at":"2026-05-18T02:21:27Z","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 characterize the stability region of multi-queue multi-server (MQMS) queueing systems with stationary channel and packet arrival processes. Toward this, the necessary and sufficient conditions for the stability of the system are derived under general arrival processes with finite first and second moments. We show that when the arrival processes are stationary, the stability region form is a polytope for which we explicitly find the coefficients of the linear inequalities which characterize the stability region polytope.","authors_text":"Chung-Horng Lung, Hassan Halabian, Ioannis Lambadaris","cross_cats":["cs.SY","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-12-06T07:47:01Z","title":"On the Stability Region of Multi-Queue Multi-Server Queueing Systems with Stationary Channel Distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1181","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":"sha256:8704581aac4635a97097969df225bc9f77299f44d5c0f293d9d40bc7a5619d8d","target":"record","created_at":"2026-05-18T02:21:27Z","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":"109d4f63f85f7e32cf6221281af355ccfae61e3d327c4e1c7ff583f1ea95f963","cross_cats_sorted":["cs.SY","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-12-06T07:47:01Z","title_canon_sha256":"e8132702009d8670923acb4029d4a4e62060a88bfbac9594d355ba313a144269"},"schema_version":"1.0","source":{"id":"1112.1181","kind":"arxiv","version":1}},"canonical_sha256":"6a6ef9fb1cc1a36eb460018180d36453935dc1f9ac5b946ad3568f91eaa19110","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a6ef9fb1cc1a36eb460018180d36453935dc1f9ac5b946ad3568f91eaa19110","first_computed_at":"2026-05-18T02:21:27.909234Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:27.909234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u+cj6Q4ULOdsAaNAbeZX2/sktkk8lvng4JiLN6p6EXjeQcUCU4ksJ90s9bIFp6mH7WEkq/CbkeyVnti6sAcOAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:27.909969Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1181","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8704581aac4635a97097969df225bc9f77299f44d5c0f293d9d40bc7a5619d8d","sha256:4abbda832a9af1a8fc015b33fdb36ed147bb3ab0445589664b40e1ea717ef8d1"],"state_sha256":"7990a0bf3ea7fdcdd81806c19328f09ca440be2bc258ef1dda6887794d0d7321"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rHll4V1ECGmtvVOyk2v/mY6ttEXp90G9GMsFjrKFyrkyNIyAkEV4lNOuJfYsRLlebqe+ejD1CfM8Mda5dVx8AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T06:53:17.966405Z","bundle_sha256":"143918cfe392b8d6873b08162165cb1f06370297802370c8e7dbeb5d11034d84"}}