{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:FLIZ572ATRNSGI5DJWLYHVC2JN","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0e69c1fe549894677285b1065fe2f4c314fb4071a0b13feebdd86aa0384801f9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-06-18T16:06:18Z","title_canon_sha256":"612fe3c451b88b59d94d8225e5da5d68f3d439bff875963d15a018c9b9118592"},"schema_version":"1.0","source":{"id":"2406.12745","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.12745","created_at":"2026-07-05T10:32:27Z"},{"alias_kind":"arxiv_version","alias_value":"2406.12745v2","created_at":"2026-07-05T10:32:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.12745","created_at":"2026-07-05T10:32:27Z"},{"alias_kind":"pith_short_12","alias_value":"FLIZ572ATRNS","created_at":"2026-07-05T10:32:27Z"},{"alias_kind":"pith_short_16","alias_value":"FLIZ572ATRNSGI5D","created_at":"2026-07-05T10:32:27Z"},{"alias_kind":"pith_short_8","alias_value":"FLIZ572A","created_at":"2026-07-05T10:32:27Z"}],"graph_snapshots":[{"event_id":"sha256:0ebda2d88748f02fdbe91987ee52e0b77327d04530df4b187194456b8a9d99e6","target":"graph","created_at":"2026-07-05T10:32:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2406.12745/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Consider a first-come, first-served single server queue with an initial workload $x>0$ and customers who arrive according to an inhomogeneous Poisson process with rate function $\\lambda:[0,\\infty)\\rightarrow[0,\\lambda_h ]$ for some $\\lambda_h>0$. For each $i\\in\\mathbb{N}$, let $S_i$ (resp., $Y_i$) be the service (resp., patience) time of the $i$'th customer and assume that $(S_1,Y_1),(S_2,Y_2),\\ldots$ is an iid sequence of bivariate random vectors with non-negative coordinates. A customer joins if and only if his patience time is not less than his prospective waiting time (i.e., the left-limit","authors_text":"Royi Jacobovic, Shreehari Anand Bodas","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-06-18T16:06:18Z","title":"Useful stochastic bounds in time-varying queues with service and patience times having general joint distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.12745","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c6db71968da38be161380ddb8e8149d3384c83fb5be847f525ccc21ceb1a3699","target":"record","created_at":"2026-07-05T10:32:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0e69c1fe549894677285b1065fe2f4c314fb4071a0b13feebdd86aa0384801f9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-06-18T16:06:18Z","title_canon_sha256":"612fe3c451b88b59d94d8225e5da5d68f3d439bff875963d15a018c9b9118592"},"schema_version":"1.0","source":{"id":"2406.12745","kind":"arxiv","version":2}},"canonical_sha256":"2ad19eff409c5b2323a34d9783d45a4b6f823ea9578b4ae259319493f368a791","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ad19eff409c5b2323a34d9783d45a4b6f823ea9578b4ae259319493f368a791","first_computed_at":"2026-07-05T10:32:27.537500Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:32:27.537500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JQaGzbL8DwFCRK6SgI66ARBlAYNSpR7hq1WtMTnGpxAusIU8vyljRJsvSKXEvr2daCWiF4UU8KsSbFhayDPyAw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:32:27.538640Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.12745","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6db71968da38be161380ddb8e8149d3384c83fb5be847f525ccc21ceb1a3699","sha256:0ebda2d88748f02fdbe91987ee52e0b77327d04530df4b187194456b8a9d99e6"],"state_sha256":"3df459b59aca1e7eba5fbefdcd1d025dd50bf31a7d77a05eabe3ea60f61f0731"}