{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ET7KJOPRIVK2SNTTDHX7SCI6YC","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":"84ea08d59a0374eed0c81b6c132e1c205e30ec06fbcc98aa61d9bf034c390c12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-06-22T18:51:42Z","title_canon_sha256":"0241d4b8b2469ed0bd021e317bb3f09de84e2ca93e7c1db62e11ef8d2ce4d49a"},"schema_version":"1.0","source":{"id":"1306.5346","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5346","created_at":"2026-05-18T03:02:34Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5346v2","created_at":"2026-05-18T03:02:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5346","created_at":"2026-05-18T03:02:34Z"},{"alias_kind":"pith_short_12","alias_value":"ET7KJOPRIVK2","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"ET7KJOPRIVK2SNTT","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"ET7KJOPR","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:78eba37f5f183d27082ef9817a7696e02d5553a0b6e4066d72e2a4ae6ac6b40d","target":"graph","created_at":"2026-05-18T03:02:34Z","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 consider GI/Ph/n+M parallel-server systems with a renewal arrival process, a phase-type service time distribution, n homogenous servers, and an exponential patience time distribution with positive rate. We show that in the Halfin-Whitt regime, the sequence of stationary distributions corresponding to the normalized state processes is tight. As a consequence, we establish an interchange of heavy traffic and steady state limits for GI/Ph/n+M queues.","authors_text":"A. B. Dieker, J. G. Dai, Xuefeng Gao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-06-22T18:51:42Z","title":"Validity of heavy-traffic steady-state approximations in many-server queues with abandonment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5346","kind":"arxiv","version":2},"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:c959bd1f369477265201bfe424359cef677bd23e4b0d4216a2db935651fc98f7","target":"record","created_at":"2026-05-18T03:02:34Z","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":"84ea08d59a0374eed0c81b6c132e1c205e30ec06fbcc98aa61d9bf034c390c12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-06-22T18:51:42Z","title_canon_sha256":"0241d4b8b2469ed0bd021e317bb3f09de84e2ca93e7c1db62e11ef8d2ce4d49a"},"schema_version":"1.0","source":{"id":"1306.5346","kind":"arxiv","version":2}},"canonical_sha256":"24fea4b9f14555a9367319eff9091ec0b7314498dd3dc06d7598f6609926b547","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24fea4b9f14555a9367319eff9091ec0b7314498dd3dc06d7598f6609926b547","first_computed_at":"2026-05-18T03:02:34.864277Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:34.864277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pFxyCDMhRnZH75/3bG6OlSSXDKKOKc7tnnSII4Qw9BgiFr3QmFtfFb1sO8N08epmC/QVtkJuB7Jsy43Gt3UoBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:34.864843Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5346","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c959bd1f369477265201bfe424359cef677bd23e4b0d4216a2db935651fc98f7","sha256:78eba37f5f183d27082ef9817a7696e02d5553a0b6e4066d72e2a4ae6ac6b40d"],"state_sha256":"dea80def9d20357d6f7def5c6d5c57ae6400a154f9ce7867c58b646a75e989bf"}