{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JCOTZSKOE4RABIEWNNUDUK5JZ4","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":"1c1419e6328f697606d0b23c8429c8dd7ef5fbc95223edeb84d53524be1aaf4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-11-09T10:47:31Z","title_canon_sha256":"f9b936d20e52020e89464158c7a31621c3343a00f09c00746553cf347e361763"},"schema_version":"1.0","source":{"id":"1011.2034","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2034","created_at":"2026-05-18T04:36:42Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2034v1","created_at":"2026-05-18T04:36:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2034","created_at":"2026-05-18T04:36:42Z"},{"alias_kind":"pith_short_12","alias_value":"JCOTZSKOE4RA","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JCOTZSKOE4RABIEW","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JCOTZSKO","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:732170babe4b5176a7fe029d55e71f07fb5898e5184c458f34c7ed845139e96c","target":"graph","created_at":"2026-05-18T04:36:42Z","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":"This paper studies many-server limits for multi-server queues that have a phase-type service time distribution and allow for customer abandonment. The first set of limit theorems is for critically loaded $G/Ph/n+GI$ queues, where the patience times are independent and identically distributed following a general distribution. The next limit theorem is for overloaded $G/ Ph/n+M$ queues, where the patience time distribution is restricted to be exponential. We prove that a pair of diffusion-scaled total-customer-count and server-allocation processes, properly centered, converges in distribution to","authors_text":"J. G. Dai, Shuangchi He, Tolga Tezcan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-11-09T10:47:31Z","title":"Many-server diffusion limits for $G/Ph/n+GI$ queues"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2034","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:b034992e8c5137dcf6b675866a34b8ec5d71722a4f5783d0380be05240492bd5","target":"record","created_at":"2026-05-18T04:36:42Z","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":"1c1419e6328f697606d0b23c8429c8dd7ef5fbc95223edeb84d53524be1aaf4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-11-09T10:47:31Z","title_canon_sha256":"f9b936d20e52020e89464158c7a31621c3343a00f09c00746553cf347e361763"},"schema_version":"1.0","source":{"id":"1011.2034","kind":"arxiv","version":1}},"canonical_sha256":"489d3cc94e272200a0966b683a2ba9cf02957c2ac3bd2a1be1220fbf629d9810","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"489d3cc94e272200a0966b683a2ba9cf02957c2ac3bd2a1be1220fbf629d9810","first_computed_at":"2026-05-18T04:36:42.738530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:42.738530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xie+1pMLI12+oGnIqM76gVFt6774S1cez19DJAgmFBBz997LhJhUR3E5Mq7mslFS4lJ67tMMxuXI6UbUSy4uDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:42.739106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.2034","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b034992e8c5137dcf6b675866a34b8ec5d71722a4f5783d0380be05240492bd5","sha256:732170babe4b5176a7fe029d55e71f07fb5898e5184c458f34c7ed845139e96c"],"state_sha256":"043ad22ac1f49aab846cfc5855fc3d64c53fc1b46180d021319e21cd3e854248"}