{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YRX3TRFHLERUQZEBLYPS2G3F6T","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":"c63793902d8192ad478c1c4d34a5b14062c0a69c303bf7629cf38ebbe0c3a202","cross_cats_sorted":["cs.PF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-19T13:52:43Z","title_canon_sha256":"9b6c32a8c9999c7141a97aae548323d57a1c9b21d7f945004e43ad49987503bb"},"schema_version":"1.0","source":{"id":"1505.04996","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.04996","created_at":"2026-05-18T01:19:38Z"},{"alias_kind":"arxiv_version","alias_value":"1505.04996v2","created_at":"2026-05-18T01:19:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.04996","created_at":"2026-05-18T01:19:38Z"},{"alias_kind":"pith_short_12","alias_value":"YRX3TRFHLERU","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"YRX3TRFHLERUQZEB","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"YRX3TRFH","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:1b4386a40232b9e087b6d8ce2021b4521007b5698bfee955af0dce57f26344ac","target":"graph","created_at":"2026-05-18T01:19:38Z","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 a two-queue polling model with switch-over times and $k$-limited service (serve at most $k_i$ customers during one visit period to queue $i$) in each queue. The major benefit of the $k$-limited service discipline is that it - besides bounding the cycle time - effectuates prioritization by assigning different service limits to different queues. System performance is studied in the heavy-traffic regime, in which one of the queues becomes critically loaded with the other queue remaining stable. By using a singular-perturbation technique, we rigorously prove heavy-traffic limits for th","authors_text":"Erik Winands, Marko Boon","cross_cats":["cs.PF"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-19T13:52:43Z","title":"Critically loaded k-limited polling systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.04996","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:a88578b039796280656e78f3645c129dafffdd2c418325a60680ef68d41cd652","target":"record","created_at":"2026-05-18T01:19:38Z","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":"c63793902d8192ad478c1c4d34a5b14062c0a69c303bf7629cf38ebbe0c3a202","cross_cats_sorted":["cs.PF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-19T13:52:43Z","title_canon_sha256":"9b6c32a8c9999c7141a97aae548323d57a1c9b21d7f945004e43ad49987503bb"},"schema_version":"1.0","source":{"id":"1505.04996","kind":"arxiv","version":2}},"canonical_sha256":"c46fb9c4a759234864815e1f2d1b65f4caed5cacbd2133bb7bb0562e9b687b18","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c46fb9c4a759234864815e1f2d1b65f4caed5cacbd2133bb7bb0562e9b687b18","first_computed_at":"2026-05-18T01:19:38.735259Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:38.735259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6bNdd1CIRXZYgGdk3/1VESM9FR1WNwTZmCH5LvBb5RkhR6RtrAaFmZ3SJaL6kAmXzxDNKV5zkHqx0ZVDClM2CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:38.735821Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.04996","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a88578b039796280656e78f3645c129dafffdd2c418325a60680ef68d41cd652","sha256:1b4386a40232b9e087b6d8ce2021b4521007b5698bfee955af0dce57f26344ac"],"state_sha256":"9f5a6cb8d1be2dc4fb1241033ffa543edd6197b9c9ea151807cff9f68f9ff2db"}