{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XNZSMBLM22M6L25KMI4UB57XLK","short_pith_number":"pith:XNZSMBLM","schema_version":"1.0","canonical_sha256":"bb7326056cd699e5ebaa623940f7f75a81b5cba2d0871b16bf6c3f90e8d59adb","source":{"kind":"arxiv","id":"1707.06817","version":1},"attestation_state":"computed","paper":{"title":"Fluid and Diffusion Limits for Bike Sharing Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.PF"],"primary_cat":"math.PR","authors_text":"Quan-Lin Li, Rui-Na Fan, Zhi-Yong Qian","submitted_at":"2017-07-21T09:56:38Z","abstract_excerpt":"Bike sharing systems have rapidly developed around the world, and they are served as a promising strategy to improve urban traffic congestion and to decrease polluting gas emissions. So far performance analysis of bike sharing systems always exists many difficulties and challenges under some more general factors. In this paper, a more general large-scale bike sharing system is discussed by means of heavy traffic approximation of multiclass closed queueing networks with non-exponential factors. Based on this, the fluid scaled equations and the diffusion scaled equations are established by means"},"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":"1707.06817","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-07-21T09:56:38Z","cross_cats_sorted":["cs.PF"],"title_canon_sha256":"ad279e695f5746de18ec5f08030e9feba62d89687f3dc34d66f2cf2dc3ad003f","abstract_canon_sha256":"40b22d951e0e73c85e3be777e3faafad67ad17b1f3b90155aafb22075efcecef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:51.514567Z","signature_b64":"aWvfH74mrlI5rcplM4HCIrYTihnsKjsEQUM0gljnh0UvPkbKYKn0fRfLT378xv54+UhU20LmhK9gsjfgUANUCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb7326056cd699e5ebaa623940f7f75a81b5cba2d0871b16bf6c3f90e8d59adb","last_reissued_at":"2026-05-18T00:39:51.513828Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:51.513828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fluid and Diffusion Limits for Bike Sharing Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.PF"],"primary_cat":"math.PR","authors_text":"Quan-Lin Li, Rui-Na Fan, Zhi-Yong Qian","submitted_at":"2017-07-21T09:56:38Z","abstract_excerpt":"Bike sharing systems have rapidly developed around the world, and they are served as a promising strategy to improve urban traffic congestion and to decrease polluting gas emissions. So far performance analysis of bike sharing systems always exists many difficulties and challenges under some more general factors. In this paper, a more general large-scale bike sharing system is discussed by means of heavy traffic approximation of multiclass closed queueing networks with non-exponential factors. Based on this, the fluid scaled equations and the diffusion scaled equations are established by means"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.06817","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":"1707.06817","created_at":"2026-05-18T00:39:51.513926+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.06817v1","created_at":"2026-05-18T00:39:51.513926+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.06817","created_at":"2026-05-18T00:39:51.513926+00:00"},{"alias_kind":"pith_short_12","alias_value":"XNZSMBLM22M6","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"XNZSMBLM22M6L25K","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"XNZSMBLM","created_at":"2026-05-18T12:31:56.362134+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/XNZSMBLM22M6L25KMI4UB57XLK","json":"https://pith.science/pith/XNZSMBLM22M6L25KMI4UB57XLK.json","graph_json":"https://pith.science/api/pith-number/XNZSMBLM22M6L25KMI4UB57XLK/graph.json","events_json":"https://pith.science/api/pith-number/XNZSMBLM22M6L25KMI4UB57XLK/events.json","paper":"https://pith.science/paper/XNZSMBLM"},"agent_actions":{"view_html":"https://pith.science/pith/XNZSMBLM22M6L25KMI4UB57XLK","download_json":"https://pith.science/pith/XNZSMBLM22M6L25KMI4UB57XLK.json","view_paper":"https://pith.science/paper/XNZSMBLM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.06817&json=true","fetch_graph":"https://pith.science/api/pith-number/XNZSMBLM22M6L25KMI4UB57XLK/graph.json","fetch_events":"https://pith.science/api/pith-number/XNZSMBLM22M6L25KMI4UB57XLK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XNZSMBLM22M6L25KMI4UB57XLK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XNZSMBLM22M6L25KMI4UB57XLK/action/storage_attestation","attest_author":"https://pith.science/pith/XNZSMBLM22M6L25KMI4UB57XLK/action/author_attestation","sign_citation":"https://pith.science/pith/XNZSMBLM22M6L25KMI4UB57XLK/action/citation_signature","submit_replication":"https://pith.science/pith/XNZSMBLM22M6L25KMI4UB57XLK/action/replication_record"}},"created_at":"2026-05-18T00:39:51.513926+00:00","updated_at":"2026-05-18T00:39:51.513926+00:00"}