{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3G3T6FWO3ZFNK4DUBDDGYY2MES","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":"0e52930db88c37846f794735ce15e18a3c01c6f529091025e2b7bcc7b859d1ba","cross_cats_sorted":["cs.PF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-04-20T16:13:58Z","title_canon_sha256":"fe024b4094bb37525526ae1f36c8c0bdf98d95b9dc7474aeadf015a0514ac11b"},"schema_version":"1.0","source":{"id":"1504.05103","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05103","created_at":"2026-05-18T02:18:22Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05103v1","created_at":"2026-05-18T02:18:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05103","created_at":"2026-05-18T02:18:22Z"},{"alias_kind":"pith_short_12","alias_value":"3G3T6FWO3ZFN","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3G3T6FWO3ZFNK4DU","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3G3T6FWO","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:ed25a747078818adeaf9c01f69f411bb11811da0f63a74a9db5509e102f7d018","target":"graph","created_at":"2026-05-18T02:18:22Z","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 consider the age-of-information in a multi-class $M/G/1$ queueing system, where each class generates packets containing status information. Age of information is a relatively new metric that measures the amount of time that elapsed between status updates, thus accounting for both the queueing delay and the delay between packet generation. This gives rise to a tradeoff between frequency of status updates, and queueing delay. In this paper, we study this tradeoff in a system with heterogenous users modeled as a multi-class $M/G/1$ queue. To this end, we derive the exact peak age-of-Informatio","authors_text":"Eytan Modiano, Longbo Huang","cross_cats":["cs.PF"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-04-20T16:13:58Z","title":"Optimizing Age-of-Information in a Multi-class Queueing System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05103","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":"sha256:974b47d58bbe0909adeeb3ec018941b47016e2259caf1df454271171aacb9a9a","target":"record","created_at":"2026-05-18T02:18:22Z","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":"0e52930db88c37846f794735ce15e18a3c01c6f529091025e2b7bcc7b859d1ba","cross_cats_sorted":["cs.PF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-04-20T16:13:58Z","title_canon_sha256":"fe024b4094bb37525526ae1f36c8c0bdf98d95b9dc7474aeadf015a0514ac11b"},"schema_version":"1.0","source":{"id":"1504.05103","kind":"arxiv","version":1}},"canonical_sha256":"d9b73f16cede4ad5707408c66c634c24844697d40354b1e715cb7e48e46a9080","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9b73f16cede4ad5707408c66c634c24844697d40354b1e715cb7e48e46a9080","first_computed_at":"2026-05-18T02:18:22.623133Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:22.623133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eBUaS8ROWdktF8sbkz/9LZJAzaopqS8vt0eRrdtRmn3RVTx8FqbFdYbDZbF5vEZzpGEs3O+ugiaIKsvvB5x8Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:22.623689Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.05103","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:974b47d58bbe0909adeeb3ec018941b47016e2259caf1df454271171aacb9a9a","sha256:ed25a747078818adeaf9c01f69f411bb11811da0f63a74a9db5509e102f7d018"],"state_sha256":"7100cc9e78b4be34249c55440e01bb51a94fff2d16893ee4f20498bd54164beb"}