{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OUBPIVMEDLEZJ6N2LN44LQSG5B","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":"fd3cf5d7154a5e41ad5e036fbcccc7f42e1f8462a74f00ee09b1146e91299690","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-03T07:53:47Z","title_canon_sha256":"9ae4ade0448d18b59299524174f07b60c01ec92141e1ed2c25446df37c635f9c"},"schema_version":"1.0","source":{"id":"1607.00609","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.00609","created_at":"2026-05-18T00:46:40Z"},{"alias_kind":"arxiv_version","alias_value":"1607.00609v2","created_at":"2026-05-18T00:46:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.00609","created_at":"2026-05-18T00:46:40Z"},{"alias_kind":"pith_short_12","alias_value":"OUBPIVMEDLEZ","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OUBPIVMEDLEZJ6N2","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OUBPIVME","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:800ba07cad89cb21f24284e95f3502fb3fe9f7c6d22bd262c8510a5925ce9c93","target":"graph","created_at":"2026-05-18T00:46:40Z","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"},"paper":{"abstract_excerpt":"This paper presents a new method for deriving the waiting time distribution of the lowest class in an accumulating priority (AP) queue with positive L\\'evy input. The priority of a non-atomic customer (particle) is a function of their class and waiting time in the system, and the particles with the highest AP are the next to be processed. The method relies on the construction of a workload overtaking process and solving a first-passage time problem using an appropriate stopping time.","authors_text":"Liron Ravner, Offer Kella","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-03T07:53:47Z","title":"Lowest priority waiting time distribution in an accumulating priority L\\'evy queue"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00609","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":"sha256:81919d20a07b7889047d95b21421a95e01e83bc41b7ac81562072d22d906b3cf","target":"record","created_at":"2026-05-18T00:46:40Z","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":"fd3cf5d7154a5e41ad5e036fbcccc7f42e1f8462a74f00ee09b1146e91299690","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-03T07:53:47Z","title_canon_sha256":"9ae4ade0448d18b59299524174f07b60c01ec92141e1ed2c25446df37c635f9c"},"schema_version":"1.0","source":{"id":"1607.00609","kind":"arxiv","version":2}},"canonical_sha256":"7502f455841ac994f9ba5b79c5c246e85215dcb0e3c1e38978a88bb727fc80d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7502f455841ac994f9ba5b79c5c246e85215dcb0e3c1e38978a88bb727fc80d4","first_computed_at":"2026-05-18T00:46:40.272084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:40.272084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8YGDBfYe5DyEdrjXmYkYvdxyOKxkX3KLV8u3O5MQsa8bnHOFz0Rv7yqmQAZC7fiiPQiJDmr1936JioVWW15rDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:40.272636Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.00609","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81919d20a07b7889047d95b21421a95e01e83bc41b7ac81562072d22d906b3cf","sha256:800ba07cad89cb21f24284e95f3502fb3fe9f7c6d22bd262c8510a5925ce9c93"],"state_sha256":"cd7640be98678b7a7bc671d13bb2e1a981deeda93d2054cc2c72e9c4fb70321f"}