{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:UIFBAOBMBATGTHZTCZ7GBC57IA","short_pith_number":"pith:UIFBAOBM","schema_version":"1.0","canonical_sha256":"a20a10382c0826699f33167e608bbf4036595cd0a27a5232a3964b179c563d9b","source":{"kind":"arxiv","id":"1507.07792","version":1},"attestation_state":"computed","paper":{"title":"Equivalence of ensembles for large vehicle-sharing models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Christine Fricker, Danielle Tibi","submitted_at":"2015-07-28T14:48:41Z","abstract_excerpt":"For a class of large closed Jackson networks submitted to capacity constraints, asymptotic independence of the nodes in normal traffic phase is proved at stationarity under mild assumptions, using a Local Limit Theorem. The limiting distributions of the queues are explicit. In the Statistical Mechanics terminology, the equivalence of ensembles - canonical and grand canonical - is proved for specific marginals. The framework includes the case of networks with two types of nodes: single server/finite capacity nodes and infinite servers/infinite capacity nodes, that can be taken as basic models f"},"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":"1507.07792","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-07-28T14:48:41Z","cross_cats_sorted":[],"title_canon_sha256":"8ef5c2d986ff1fc70b8967e1a693c4f60d033df9bf64ea35f53d6b4ff8e3fd4d","abstract_canon_sha256":"494fa5e04373d109798c6473605ccf9f7435d97618f386d429d2aa02523169e8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:11.894335Z","signature_b64":"upP672s7cI4SH1jj3twwg2huLjWzvIRc1EMGjsd16QwruQd4pye8T7/n1Sv9mZia+TJkzIvwDHpGOvapE0a7Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a20a10382c0826699f33167e608bbf4036595cd0a27a5232a3964b179c563d9b","last_reissued_at":"2026-05-18T01:36:11.893857Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:11.893857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equivalence of ensembles for large vehicle-sharing models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Christine Fricker, Danielle Tibi","submitted_at":"2015-07-28T14:48:41Z","abstract_excerpt":"For a class of large closed Jackson networks submitted to capacity constraints, asymptotic independence of the nodes in normal traffic phase is proved at stationarity under mild assumptions, using a Local Limit Theorem. The limiting distributions of the queues are explicit. In the Statistical Mechanics terminology, the equivalence of ensembles - canonical and grand canonical - is proved for specific marginals. The framework includes the case of networks with two types of nodes: single server/finite capacity nodes and infinite servers/infinite capacity nodes, that can be taken as basic models f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07792","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":"1507.07792","created_at":"2026-05-18T01:36:11.893930+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.07792v1","created_at":"2026-05-18T01:36:11.893930+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07792","created_at":"2026-05-18T01:36:11.893930+00:00"},{"alias_kind":"pith_short_12","alias_value":"UIFBAOBMBATG","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"UIFBAOBMBATGTHZT","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"UIFBAOBM","created_at":"2026-05-18T12:29:44.643036+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/UIFBAOBMBATGTHZTCZ7GBC57IA","json":"https://pith.science/pith/UIFBAOBMBATGTHZTCZ7GBC57IA.json","graph_json":"https://pith.science/api/pith-number/UIFBAOBMBATGTHZTCZ7GBC57IA/graph.json","events_json":"https://pith.science/api/pith-number/UIFBAOBMBATGTHZTCZ7GBC57IA/events.json","paper":"https://pith.science/paper/UIFBAOBM"},"agent_actions":{"view_html":"https://pith.science/pith/UIFBAOBMBATGTHZTCZ7GBC57IA","download_json":"https://pith.science/pith/UIFBAOBMBATGTHZTCZ7GBC57IA.json","view_paper":"https://pith.science/paper/UIFBAOBM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.07792&json=true","fetch_graph":"https://pith.science/api/pith-number/UIFBAOBMBATGTHZTCZ7GBC57IA/graph.json","fetch_events":"https://pith.science/api/pith-number/UIFBAOBMBATGTHZTCZ7GBC57IA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UIFBAOBMBATGTHZTCZ7GBC57IA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UIFBAOBMBATGTHZTCZ7GBC57IA/action/storage_attestation","attest_author":"https://pith.science/pith/UIFBAOBMBATGTHZTCZ7GBC57IA/action/author_attestation","sign_citation":"https://pith.science/pith/UIFBAOBMBATGTHZTCZ7GBC57IA/action/citation_signature","submit_replication":"https://pith.science/pith/UIFBAOBMBATGTHZTCZ7GBC57IA/action/replication_record"}},"created_at":"2026-05-18T01:36:11.893930+00:00","updated_at":"2026-05-18T01:36:11.893930+00:00"}