{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:W46ACJHGXQWR4VKAI236Y7PTAA","short_pith_number":"pith:W46ACJHG","schema_version":"1.0","canonical_sha256":"b73c0124e6bc2d1e554046b7ec7df30015a4a21fab22d9c9cfe4d4a66ab9215d","source":{"kind":"arxiv","id":"1105.0635","version":1},"attestation_state":"computed","paper":{"title":"Multiclass multiserver queueing system in the Halfin-Whitt heavy traffic regime. Asymptotics of the stationary distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alexander Stolyar, David Gamarnik","submitted_at":"2011-05-03T17:14:02Z","abstract_excerpt":"We consider a heterogeneous queueing system consisting of one large pool of $O(r)$ identical servers, where $r\\to\\infty$ is the scaling parameter. The arriving customers belong to one of several classes which determines the service times in the distributional sense. The system is heavily loaded in the Halfin-Whitt sense, namely the nominal utilization is $1-a/\\sqrt{r}$ where $a>0$ is the spare capacity parameter. Our goal is to obtain bounds on the steady state performance metrics such as the number of customers waiting in the queue $Q^r(\\infty)$. While there is a rich literature on deriving p"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1105.0635","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-05-03T17:14:02Z","cross_cats_sorted":[],"title_canon_sha256":"a0fb19bb804516c67f80329582a6c86b8a170974658d4f5dc2435e4d5ef62af6","abstract_canon_sha256":"8dc95af5036e07ae498e523a9e89f7cc7ff0c0881b017a378af0d8ee1f397c59"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:10.980831Z","signature_b64":"5swqGc+C8p1l6zfmhF0dEBGYYU9O0PjyZQA8YVdaIaK8Dn0tGB1PV0nstwhMrqMGQpYwrvvcyldhMoJa40azBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b73c0124e6bc2d1e554046b7ec7df30015a4a21fab22d9c9cfe4d4a66ab9215d","last_reissued_at":"2026-05-18T04:23:10.980401Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:10.980401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multiclass multiserver queueing system in the Halfin-Whitt heavy traffic regime. Asymptotics of the stationary distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alexander Stolyar, David Gamarnik","submitted_at":"2011-05-03T17:14:02Z","abstract_excerpt":"We consider a heterogeneous queueing system consisting of one large pool of $O(r)$ identical servers, where $r\\to\\infty$ is the scaling parameter. The arriving customers belong to one of several classes which determines the service times in the distributional sense. The system is heavily loaded in the Halfin-Whitt sense, namely the nominal utilization is $1-a/\\sqrt{r}$ where $a>0$ is the spare capacity parameter. Our goal is to obtain bounds on the steady state performance metrics such as the number of customers waiting in the queue $Q^r(\\infty)$. While there is a rich literature on deriving p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.0635","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1105.0635","created_at":"2026-05-18T04:23:10.980470+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.0635v1","created_at":"2026-05-18T04:23:10.980470+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.0635","created_at":"2026-05-18T04:23:10.980470+00:00"},{"alias_kind":"pith_short_12","alias_value":"W46ACJHGXQWR","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"W46ACJHGXQWR4VKA","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"W46ACJHG","created_at":"2026-05-18T12:26:44.992195+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/W46ACJHGXQWR4VKAI236Y7PTAA","json":"https://pith.science/pith/W46ACJHGXQWR4VKAI236Y7PTAA.json","graph_json":"https://pith.science/api/pith-number/W46ACJHGXQWR4VKAI236Y7PTAA/graph.json","events_json":"https://pith.science/api/pith-number/W46ACJHGXQWR4VKAI236Y7PTAA/events.json","paper":"https://pith.science/paper/W46ACJHG"},"agent_actions":{"view_html":"https://pith.science/pith/W46ACJHGXQWR4VKAI236Y7PTAA","download_json":"https://pith.science/pith/W46ACJHGXQWR4VKAI236Y7PTAA.json","view_paper":"https://pith.science/paper/W46ACJHG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.0635&json=true","fetch_graph":"https://pith.science/api/pith-number/W46ACJHGXQWR4VKAI236Y7PTAA/graph.json","fetch_events":"https://pith.science/api/pith-number/W46ACJHGXQWR4VKAI236Y7PTAA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W46ACJHGXQWR4VKAI236Y7PTAA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W46ACJHGXQWR4VKAI236Y7PTAA/action/storage_attestation","attest_author":"https://pith.science/pith/W46ACJHGXQWR4VKAI236Y7PTAA/action/author_attestation","sign_citation":"https://pith.science/pith/W46ACJHGXQWR4VKAI236Y7PTAA/action/citation_signature","submit_replication":"https://pith.science/pith/W46ACJHGXQWR4VKAI236Y7PTAA/action/replication_record"}},"created_at":"2026-05-18T04:23:10.980470+00:00","updated_at":"2026-05-18T04:23:10.980470+00:00"}