{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:YYK37VA4DHJUA6PK56BD7THYDN","short_pith_number":"pith:YYK37VA4","schema_version":"1.0","canonical_sha256":"c615bfd41c19d34079eaef823fccf81b4cd9db7a51c8a719c4214a83cf793b13","source":{"kind":"arxiv","id":"1809.02197","version":1},"attestation_state":"computed","paper":{"title":"A Queueing Model for Sleep as a Vacation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Myron Hlynka, Nian Liu","submitted_at":"2018-09-06T19:54:30Z","abstract_excerpt":"Vacation queueing systems are widely used as an extension of the classical queueing theory. We consider both working vacations and regular vacations in this paper, and compare systems with vacations to the regular $M/M/1$ system via mean service rates and expected numbers of customers, using matrix-analytic methods."},"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":"1809.02197","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-09-06T19:54:30Z","cross_cats_sorted":[],"title_canon_sha256":"caf637eeae656530abd695a7958b6fc4f3837480a12284d61b650d282d5c1257","abstract_canon_sha256":"eae474e8ae0052a6f2219b7b24c8a54bb7c7484fa218308ae83555f084579cf8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:17.691246Z","signature_b64":"bM2/VJ+Op2HZvdpxPMrfu1svRB/Qmc4V2kSkPSBYz9traExSclanBPh+CCp1XJMRMdS8EUmvtlVXR4kQBNr7Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c615bfd41c19d34079eaef823fccf81b4cd9db7a51c8a719c4214a83cf793b13","last_reissued_at":"2026-05-18T00:06:17.690682Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:17.690682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Queueing Model for Sleep as a Vacation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Myron Hlynka, Nian Liu","submitted_at":"2018-09-06T19:54:30Z","abstract_excerpt":"Vacation queueing systems are widely used as an extension of the classical queueing theory. We consider both working vacations and regular vacations in this paper, and compare systems with vacations to the regular $M/M/1$ system via mean service rates and expected numbers of customers, using matrix-analytic methods."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.02197","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":"1809.02197","created_at":"2026-05-18T00:06:17.690791+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.02197v1","created_at":"2026-05-18T00:06:17.690791+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.02197","created_at":"2026-05-18T00:06:17.690791+00:00"},{"alias_kind":"pith_short_12","alias_value":"YYK37VA4DHJU","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_16","alias_value":"YYK37VA4DHJUA6PK","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_8","alias_value":"YYK37VA4","created_at":"2026-05-18T12:33:04.347982+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/YYK37VA4DHJUA6PK56BD7THYDN","json":"https://pith.science/pith/YYK37VA4DHJUA6PK56BD7THYDN.json","graph_json":"https://pith.science/api/pith-number/YYK37VA4DHJUA6PK56BD7THYDN/graph.json","events_json":"https://pith.science/api/pith-number/YYK37VA4DHJUA6PK56BD7THYDN/events.json","paper":"https://pith.science/paper/YYK37VA4"},"agent_actions":{"view_html":"https://pith.science/pith/YYK37VA4DHJUA6PK56BD7THYDN","download_json":"https://pith.science/pith/YYK37VA4DHJUA6PK56BD7THYDN.json","view_paper":"https://pith.science/paper/YYK37VA4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.02197&json=true","fetch_graph":"https://pith.science/api/pith-number/YYK37VA4DHJUA6PK56BD7THYDN/graph.json","fetch_events":"https://pith.science/api/pith-number/YYK37VA4DHJUA6PK56BD7THYDN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YYK37VA4DHJUA6PK56BD7THYDN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YYK37VA4DHJUA6PK56BD7THYDN/action/storage_attestation","attest_author":"https://pith.science/pith/YYK37VA4DHJUA6PK56BD7THYDN/action/author_attestation","sign_citation":"https://pith.science/pith/YYK37VA4DHJUA6PK56BD7THYDN/action/citation_signature","submit_replication":"https://pith.science/pith/YYK37VA4DHJUA6PK56BD7THYDN/action/replication_record"}},"created_at":"2026-05-18T00:06:17.690791+00:00","updated_at":"2026-05-18T00:06:17.690791+00:00"}