{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:5KUNRJTRM3DGHPW6LQ6V4OCPZI","short_pith_number":"pith:5KUNRJTR","schema_version":"1.0","canonical_sha256":"eaa8d8a67166c663bede5c3d5e384fca1265815dc2eb79cbbbf27e481bb167fb","source":{"kind":"arxiv","id":"1401.5146","version":1},"attestation_state":"computed","paper":{"title":"Diffusion Models for Double-ended Queues with Renewal Arrival Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Qi Gong, Vidyadhar G. Kulkarni, Xin Liu","submitted_at":"2014-01-21T01:57:05Z","abstract_excerpt":"We study a double-ended queue where buyers and sellers arrive to conduct trades. When there is a pair of buyer and seller in the system, they immediately transact a trade and leave. Thus there cannot be non-zero number of buyers and sellers simultaneously in the system. We assume that sellers and buyers arrive at the system according to independent renewal processes, and they would leave the system after independent exponential patience times. We establish fluid and diffusion approximations for the queue length process under a suitable asymptotic regime. The fluid limit is the solution of an o"},"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":"1401.5146","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-01-21T01:57:05Z","cross_cats_sorted":[],"title_canon_sha256":"68f56b717d4eceee8b8247e92fa5d398553f01bc6d6fa76d5210419b401d6bfa","abstract_canon_sha256":"09c2bdf79aff63190d915483f2f9b8a916d1582981254d633a60bdaeaa28e37d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:34.771057Z","signature_b64":"421SSs1iU530R2Bnrmt+wkOT3N5FBy6Phv3Ua7nI4clFGk8I1ikHxtFFYMivYSunjngXv93odYMcrKk58TEDBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eaa8d8a67166c663bede5c3d5e384fca1265815dc2eb79cbbbf27e481bb167fb","last_reissued_at":"2026-05-18T03:01:34.770434Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:34.770434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diffusion Models for Double-ended Queues with Renewal Arrival Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Qi Gong, Vidyadhar G. Kulkarni, Xin Liu","submitted_at":"2014-01-21T01:57:05Z","abstract_excerpt":"We study a double-ended queue where buyers and sellers arrive to conduct trades. When there is a pair of buyer and seller in the system, they immediately transact a trade and leave. Thus there cannot be non-zero number of buyers and sellers simultaneously in the system. We assume that sellers and buyers arrive at the system according to independent renewal processes, and they would leave the system after independent exponential patience times. We establish fluid and diffusion approximations for the queue length process under a suitable asymptotic regime. The fluid limit is the solution of an o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5146","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":"1401.5146","created_at":"2026-05-18T03:01:34.770533+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.5146v1","created_at":"2026-05-18T03:01:34.770533+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.5146","created_at":"2026-05-18T03:01:34.770533+00:00"},{"alias_kind":"pith_short_12","alias_value":"5KUNRJTRM3DG","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"5KUNRJTRM3DGHPW6","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"5KUNRJTR","created_at":"2026-05-18T12:28:14.216126+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/5KUNRJTRM3DGHPW6LQ6V4OCPZI","json":"https://pith.science/pith/5KUNRJTRM3DGHPW6LQ6V4OCPZI.json","graph_json":"https://pith.science/api/pith-number/5KUNRJTRM3DGHPW6LQ6V4OCPZI/graph.json","events_json":"https://pith.science/api/pith-number/5KUNRJTRM3DGHPW6LQ6V4OCPZI/events.json","paper":"https://pith.science/paper/5KUNRJTR"},"agent_actions":{"view_html":"https://pith.science/pith/5KUNRJTRM3DGHPW6LQ6V4OCPZI","download_json":"https://pith.science/pith/5KUNRJTRM3DGHPW6LQ6V4OCPZI.json","view_paper":"https://pith.science/paper/5KUNRJTR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.5146&json=true","fetch_graph":"https://pith.science/api/pith-number/5KUNRJTRM3DGHPW6LQ6V4OCPZI/graph.json","fetch_events":"https://pith.science/api/pith-number/5KUNRJTRM3DGHPW6LQ6V4OCPZI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5KUNRJTRM3DGHPW6LQ6V4OCPZI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5KUNRJTRM3DGHPW6LQ6V4OCPZI/action/storage_attestation","attest_author":"https://pith.science/pith/5KUNRJTRM3DGHPW6LQ6V4OCPZI/action/author_attestation","sign_citation":"https://pith.science/pith/5KUNRJTRM3DGHPW6LQ6V4OCPZI/action/citation_signature","submit_replication":"https://pith.science/pith/5KUNRJTRM3DGHPW6LQ6V4OCPZI/action/replication_record"}},"created_at":"2026-05-18T03:01:34.770533+00:00","updated_at":"2026-05-18T03:01:34.770533+00:00"}