{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:F3RVC2OZQGHY4O5QT75NXT7IPK","short_pith_number":"pith:F3RVC2OZ","schema_version":"1.0","canonical_sha256":"2ee35169d9818f8e3bb09ffadbcfe87a96de56d5f28dd6b79cd0d7cdd974fe57","source":{"kind":"arxiv","id":"1009.5426","version":2},"attestation_state":"computed","paper":{"title":"On the transition from heavy traffic to heavy tails for the M/G/1 queue: The regularly varying case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jose Blanchet, Mariana Olvera-Cravioto, Peter Glynn","submitted_at":"2010-09-28T01:50:59Z","abstract_excerpt":"Two of the most popular approximations for the distribution of the steady-state waiting time, $W_{\\infty}$, of the M/G/1 queue are the so-called heavy-traffic approximation and heavy-tailed asymptotic, respectively. If the traffic intensity, $\\rho$, is close to 1 and the processing times have finite variance, the heavy-traffic approximation states that the distribution of $W_{\\infty}$ is roughly exponential at scale $O((1-\\rho)^{-1})$, while the heavy tailed asymptotic describes power law decay in the tail of the distribution of $W_{\\infty}$ for a fixed traffic intensity. In this paper, we ass"},"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":"1009.5426","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-09-28T01:50:59Z","cross_cats_sorted":[],"title_canon_sha256":"bf9c45e33ea6d080669f20e1eac4aa2f39cb84f578fa4538cd62559122506880","abstract_canon_sha256":"692359e7c2315f56db96898ad0c9d1ce5dc106f84d9c0a0b7553f208f5929f8f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:52.916260Z","signature_b64":"z9qFe86wDZ9WcqgR5jWTyYCSlLj6zgBIQ3P/keRME8B4s19UidqbCL7CN2W7C0r5FYPf1mH/DkGUXigyiKi+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ee35169d9818f8e3bb09ffadbcfe87a96de56d5f28dd6b79cd0d7cdd974fe57","last_reissued_at":"2026-05-18T04:24:52.915633Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:52.915633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the transition from heavy traffic to heavy tails for the M/G/1 queue: The regularly varying case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jose Blanchet, Mariana Olvera-Cravioto, Peter Glynn","submitted_at":"2010-09-28T01:50:59Z","abstract_excerpt":"Two of the most popular approximations for the distribution of the steady-state waiting time, $W_{\\infty}$, of the M/G/1 queue are the so-called heavy-traffic approximation and heavy-tailed asymptotic, respectively. If the traffic intensity, $\\rho$, is close to 1 and the processing times have finite variance, the heavy-traffic approximation states that the distribution of $W_{\\infty}$ is roughly exponential at scale $O((1-\\rho)^{-1})$, while the heavy tailed asymptotic describes power law decay in the tail of the distribution of $W_{\\infty}$ for a fixed traffic intensity. In this paper, we ass"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5426","kind":"arxiv","version":2},"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":"1009.5426","created_at":"2026-05-18T04:24:52.915726+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.5426v2","created_at":"2026-05-18T04:24:52.915726+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5426","created_at":"2026-05-18T04:24:52.915726+00:00"},{"alias_kind":"pith_short_12","alias_value":"F3RVC2OZQGHY","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"F3RVC2OZQGHY4O5Q","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"F3RVC2OZ","created_at":"2026-05-18T12:26:06.534383+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/F3RVC2OZQGHY4O5QT75NXT7IPK","json":"https://pith.science/pith/F3RVC2OZQGHY4O5QT75NXT7IPK.json","graph_json":"https://pith.science/api/pith-number/F3RVC2OZQGHY4O5QT75NXT7IPK/graph.json","events_json":"https://pith.science/api/pith-number/F3RVC2OZQGHY4O5QT75NXT7IPK/events.json","paper":"https://pith.science/paper/F3RVC2OZ"},"agent_actions":{"view_html":"https://pith.science/pith/F3RVC2OZQGHY4O5QT75NXT7IPK","download_json":"https://pith.science/pith/F3RVC2OZQGHY4O5QT75NXT7IPK.json","view_paper":"https://pith.science/paper/F3RVC2OZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.5426&json=true","fetch_graph":"https://pith.science/api/pith-number/F3RVC2OZQGHY4O5QT75NXT7IPK/graph.json","fetch_events":"https://pith.science/api/pith-number/F3RVC2OZQGHY4O5QT75NXT7IPK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F3RVC2OZQGHY4O5QT75NXT7IPK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F3RVC2OZQGHY4O5QT75NXT7IPK/action/storage_attestation","attest_author":"https://pith.science/pith/F3RVC2OZQGHY4O5QT75NXT7IPK/action/author_attestation","sign_citation":"https://pith.science/pith/F3RVC2OZQGHY4O5QT75NXT7IPK/action/citation_signature","submit_replication":"https://pith.science/pith/F3RVC2OZQGHY4O5QT75NXT7IPK/action/replication_record"}},"created_at":"2026-05-18T04:24:52.915726+00:00","updated_at":"2026-05-18T04:24:52.915726+00:00"}