{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:NBAATSVCAKNJT2KKRDUCEKRX4T","short_pith_number":"pith:NBAATSVC","canonical_record":{"source":{"id":"1412.2321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-07T06:04:53Z","cross_cats_sorted":["cs.PF"],"title_canon_sha256":"c24daaf9960bf22e2a4f4610a6b1b92bcc605791fd690c9df675a7f60178c51a","abstract_canon_sha256":"6c119264fcc2a6663bea2861ac8cfa3725868c1614f7dbac02ca0fa64590e807"},"schema_version":"1.0"},"canonical_sha256":"684009caa2029a99e94a88e8222a37e4dde713502a1f717851d0456a384be4b6","source":{"kind":"arxiv","id":"1412.2321","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.2321","created_at":"2026-05-18T02:31:58Z"},{"alias_kind":"arxiv_version","alias_value":"1412.2321v1","created_at":"2026-05-18T02:31:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2321","created_at":"2026-05-18T02:31:58Z"},{"alias_kind":"pith_short_12","alias_value":"NBAATSVCAKNJ","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NBAATSVCAKNJT2KK","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NBAATSVC","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:NBAATSVCAKNJT2KKRDUCEKRX4T","target":"record","payload":{"canonical_record":{"source":{"id":"1412.2321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-07T06:04:53Z","cross_cats_sorted":["cs.PF"],"title_canon_sha256":"c24daaf9960bf22e2a4f4610a6b1b92bcc605791fd690c9df675a7f60178c51a","abstract_canon_sha256":"6c119264fcc2a6663bea2861ac8cfa3725868c1614f7dbac02ca0fa64590e807"},"schema_version":"1.0"},"canonical_sha256":"684009caa2029a99e94a88e8222a37e4dde713502a1f717851d0456a384be4b6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:58.341538Z","signature_b64":"+SldjPYMbXhxITVRbnyRtBpERUxb11YJNl12rZpBp+11fQhzbwslDV5RSc6VsFUnu8tbJU70Cb75Oo3rgA0qBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"684009caa2029a99e94a88e8222a37e4dde713502a1f717851d0456a384be4b6","last_reissued_at":"2026-05-18T02:31:58.340745Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:58.340745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.2321","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:31:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7mwrdSWf2Fa2l7ehAL0WR5Kw+jkCJem7CAOIXZfq0JDjhdDET90gMgocAKSxtOWMgKMtzUirEtPEFDIxP8jcDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:07:45.070220Z"},"content_sha256":"a60029b83025702c10d436af2ff88abefc2872397be0436bc975ac899de2a320","schema_version":"1.0","event_id":"sha256:a60029b83025702c10d436af2ff88abefc2872397be0436bc975ac899de2a320"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:NBAATSVCAKNJT2KKRDUCEKRX4T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Transitory Queueing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.PF"],"primary_cat":"math.PR","authors_text":"Amy R. Ward, Harsha Honnappa, Rahul Jain","submitted_at":"2014-12-07T06:04:53Z","abstract_excerpt":"We introduce a framework and develop a theory of transitory queueing models. These are models that are not only non-stationary and time-varying but also have other features such as the queueing system operates over finite time, or only a finite population arrives. Such models are relevant in many real-world settings, from queues at post-offces, DMV, concert halls and stadia to out-patient departments at hospitals. We develop fluid and diffusion limits for a large class of transitory queueing models. We then introduce three specific models that fit within this framework, namely, the Delta(i)/GI"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2321","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:31:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s45rBaWj4k4CI8nBCN3SY955JLEKANNkNyYsIUWTX/jGrf5VOKXjSr/nRz0I/ddcVqTUo4eYeVpXBaX4G6MPCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:07:45.070939Z"},"content_sha256":"1ad06d0c547483135727cee8c4b2dc7c71f30fdacdac1e9d7841c9d77bc78067","schema_version":"1.0","event_id":"sha256:1ad06d0c547483135727cee8c4b2dc7c71f30fdacdac1e9d7841c9d77bc78067"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NBAATSVCAKNJT2KKRDUCEKRX4T/bundle.json","state_url":"https://pith.science/pith/NBAATSVCAKNJT2KKRDUCEKRX4T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NBAATSVCAKNJT2KKRDUCEKRX4T/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T04:07:45Z","links":{"resolver":"https://pith.science/pith/NBAATSVCAKNJT2KKRDUCEKRX4T","bundle":"https://pith.science/pith/NBAATSVCAKNJT2KKRDUCEKRX4T/bundle.json","state":"https://pith.science/pith/NBAATSVCAKNJT2KKRDUCEKRX4T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NBAATSVCAKNJT2KKRDUCEKRX4T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NBAATSVCAKNJT2KKRDUCEKRX4T","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":"6c119264fcc2a6663bea2861ac8cfa3725868c1614f7dbac02ca0fa64590e807","cross_cats_sorted":["cs.PF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-07T06:04:53Z","title_canon_sha256":"c24daaf9960bf22e2a4f4610a6b1b92bcc605791fd690c9df675a7f60178c51a"},"schema_version":"1.0","source":{"id":"1412.2321","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.2321","created_at":"2026-05-18T02:31:58Z"},{"alias_kind":"arxiv_version","alias_value":"1412.2321v1","created_at":"2026-05-18T02:31:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2321","created_at":"2026-05-18T02:31:58Z"},{"alias_kind":"pith_short_12","alias_value":"NBAATSVCAKNJ","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NBAATSVCAKNJT2KK","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NBAATSVC","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:1ad06d0c547483135727cee8c4b2dc7c71f30fdacdac1e9d7841c9d77bc78067","target":"graph","created_at":"2026-05-18T02:31:58Z","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":"We introduce a framework and develop a theory of transitory queueing models. These are models that are not only non-stationary and time-varying but also have other features such as the queueing system operates over finite time, or only a finite population arrives. Such models are relevant in many real-world settings, from queues at post-offces, DMV, concert halls and stadia to out-patient departments at hospitals. We develop fluid and diffusion limits for a large class of transitory queueing models. We then introduce three specific models that fit within this framework, namely, the Delta(i)/GI","authors_text":"Amy R. Ward, Harsha Honnappa, Rahul Jain","cross_cats":["cs.PF"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-07T06:04:53Z","title":"On Transitory Queueing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2321","kind":"arxiv","version":1},"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:a60029b83025702c10d436af2ff88abefc2872397be0436bc975ac899de2a320","target":"record","created_at":"2026-05-18T02:31:58Z","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":"6c119264fcc2a6663bea2861ac8cfa3725868c1614f7dbac02ca0fa64590e807","cross_cats_sorted":["cs.PF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-07T06:04:53Z","title_canon_sha256":"c24daaf9960bf22e2a4f4610a6b1b92bcc605791fd690c9df675a7f60178c51a"},"schema_version":"1.0","source":{"id":"1412.2321","kind":"arxiv","version":1}},"canonical_sha256":"684009caa2029a99e94a88e8222a37e4dde713502a1f717851d0456a384be4b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"684009caa2029a99e94a88e8222a37e4dde713502a1f717851d0456a384be4b6","first_computed_at":"2026-05-18T02:31:58.340745Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:58.340745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+SldjPYMbXhxITVRbnyRtBpERUxb11YJNl12rZpBp+11fQhzbwslDV5RSc6VsFUnu8tbJU70Cb75Oo3rgA0qBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:58.341538Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.2321","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a60029b83025702c10d436af2ff88abefc2872397be0436bc975ac899de2a320","sha256:1ad06d0c547483135727cee8c4b2dc7c71f30fdacdac1e9d7841c9d77bc78067"],"state_sha256":"6f68ef509e186c8bf10b5e1262a96eb3476dedda01d3d8bc0345b11249be5457"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mitI7PvaBZ4NTtJrg29qfuwhCp/9i/lKLga6eET8OG5NhZFmBF6T/Q+q8YkW9Th5RIS9EikCxQuMelvLgpqsCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:07:45.073872Z","bundle_sha256":"8e089a9ba46425cfa1fac3e08884aba3e259405a1d96ed8705629154348cc4e2"}}