{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:SPG6K7ZTDNRYHTK6IJTKGFKA2M","short_pith_number":"pith:SPG6K7ZT","schema_version":"1.0","canonical_sha256":"93cde57f331b6383cd5e4266a31540d32eaeb5073408f8c68594f93631d9a2c0","source":{"kind":"arxiv","id":"1502.02856","version":3},"attestation_state":"computed","paper":{"title":"The snowball effect of customer slowdown in critical many-server systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Ivo Adan, Johan van Leeuwaarden, Jori Selen, Vidyadhar Kulkarni","submitted_at":"2015-02-10T11:02:23Z","abstract_excerpt":"Customer slowdown describes the phenomenon that a customer's service requirement increases with experienced delay. In healthcare settings, there is substantial empirical evidence for slowdown, particularly when a patient's delay exceeds a certain threshold. For such threshold slowdown situations, we design and analyze a many-server system that leads to a two-dimensional Markov process. Analysis of this system leads to insights into the potentially detrimental effects of slowdown, especially in heavy-traffic conditions. We quantify the consequences of underprovisioning due to neglecting slowdow"},"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":"1502.02856","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-02-10T11:02:23Z","cross_cats_sorted":[],"title_canon_sha256":"53563fb7b528a582dff6552203f9d65879a3789a96c23fd24e95bed81182759d","abstract_canon_sha256":"28a08695786e2ab6dc90319fe8bf09ab79814e77ab10eb2b006b092f041eacb0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:33.246036Z","signature_b64":"i3AY42tSGuyGGHNDZhMWi/GEixlJCL4Ngbmkqcq4fMlYyClk9x5Y+b+fLk3rVsrEFK7FNZ3Uv64SveXwe4zUDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93cde57f331b6383cd5e4266a31540d32eaeb5073408f8c68594f93631d9a2c0","last_reissued_at":"2026-05-18T00:48:33.245299Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:33.245299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The snowball effect of customer slowdown in critical many-server systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Ivo Adan, Johan van Leeuwaarden, Jori Selen, Vidyadhar Kulkarni","submitted_at":"2015-02-10T11:02:23Z","abstract_excerpt":"Customer slowdown describes the phenomenon that a customer's service requirement increases with experienced delay. In healthcare settings, there is substantial empirical evidence for slowdown, particularly when a patient's delay exceeds a certain threshold. For such threshold slowdown situations, we design and analyze a many-server system that leads to a two-dimensional Markov process. Analysis of this system leads to insights into the potentially detrimental effects of slowdown, especially in heavy-traffic conditions. We quantify the consequences of underprovisioning due to neglecting slowdow"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02856","kind":"arxiv","version":3},"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":"1502.02856","created_at":"2026-05-18T00:48:33.245435+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.02856v3","created_at":"2026-05-18T00:48:33.245435+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02856","created_at":"2026-05-18T00:48:33.245435+00:00"},{"alias_kind":"pith_short_12","alias_value":"SPG6K7ZTDNRY","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"SPG6K7ZTDNRYHTK6","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"SPG6K7ZT","created_at":"2026-05-18T12:29:42.218222+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/SPG6K7ZTDNRYHTK6IJTKGFKA2M","json":"https://pith.science/pith/SPG6K7ZTDNRYHTK6IJTKGFKA2M.json","graph_json":"https://pith.science/api/pith-number/SPG6K7ZTDNRYHTK6IJTKGFKA2M/graph.json","events_json":"https://pith.science/api/pith-number/SPG6K7ZTDNRYHTK6IJTKGFKA2M/events.json","paper":"https://pith.science/paper/SPG6K7ZT"},"agent_actions":{"view_html":"https://pith.science/pith/SPG6K7ZTDNRYHTK6IJTKGFKA2M","download_json":"https://pith.science/pith/SPG6K7ZTDNRYHTK6IJTKGFKA2M.json","view_paper":"https://pith.science/paper/SPG6K7ZT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.02856&json=true","fetch_graph":"https://pith.science/api/pith-number/SPG6K7ZTDNRYHTK6IJTKGFKA2M/graph.json","fetch_events":"https://pith.science/api/pith-number/SPG6K7ZTDNRYHTK6IJTKGFKA2M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SPG6K7ZTDNRYHTK6IJTKGFKA2M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SPG6K7ZTDNRYHTK6IJTKGFKA2M/action/storage_attestation","attest_author":"https://pith.science/pith/SPG6K7ZTDNRYHTK6IJTKGFKA2M/action/author_attestation","sign_citation":"https://pith.science/pith/SPG6K7ZTDNRYHTK6IJTKGFKA2M/action/citation_signature","submit_replication":"https://pith.science/pith/SPG6K7ZTDNRYHTK6IJTKGFKA2M/action/replication_record"}},"created_at":"2026-05-18T00:48:33.245435+00:00","updated_at":"2026-05-18T00:48:33.245435+00:00"}