{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:YFXPWSZPVIOWM4BFYREHACBY4S","short_pith_number":"pith:YFXPWSZP","canonical_record":{"source":{"id":"1605.05753","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PF","submitted_at":"2016-05-18T20:35:11Z","cross_cats_sorted":[],"title_canon_sha256":"49c1e98b62c587d58f5cd7806d9e0617a62a911e2dcaa6c8b03e8b408e11c7e5","abstract_canon_sha256":"6cfcfc8b6107ea049c16abc29faf0fcdb11d97c52e1972dc70ce1249248e5092"},"schema_version":"1.0"},"canonical_sha256":"c16efb4b2faa1d667025c448700838e4bd2a2e96a2cd00730998ab74448698c8","source":{"kind":"arxiv","id":"1605.05753","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05753","created_at":"2026-05-18T00:36:41Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05753v2","created_at":"2026-05-18T00:36:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05753","created_at":"2026-05-18T00:36:41Z"},{"alias_kind":"pith_short_12","alias_value":"YFXPWSZPVIOW","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YFXPWSZPVIOWM4BF","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YFXPWSZP","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:YFXPWSZPVIOWM4BFYREHACBY4S","target":"record","payload":{"canonical_record":{"source":{"id":"1605.05753","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PF","submitted_at":"2016-05-18T20:35:11Z","cross_cats_sorted":[],"title_canon_sha256":"49c1e98b62c587d58f5cd7806d9e0617a62a911e2dcaa6c8b03e8b408e11c7e5","abstract_canon_sha256":"6cfcfc8b6107ea049c16abc29faf0fcdb11d97c52e1972dc70ce1249248e5092"},"schema_version":"1.0"},"canonical_sha256":"c16efb4b2faa1d667025c448700838e4bd2a2e96a2cd00730998ab74448698c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:41.348585Z","signature_b64":"TtVpQVHDGUr1gGT3jeVFGtTafkrk7GFLCKe0abYkqLiNFaBaw85qHplLkJpIj7NlYyDUCXDGUSWUJrJl8X66Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c16efb4b2faa1d667025c448700838e4bd2a2e96a2cd00730998ab74448698c8","last_reissued_at":"2026-05-18T00:36:41.347891Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:41.347891Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.05753","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:36:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zIPhHICmxXHysAdAxxjcKn/ts7LUyouwIRI+n0pPK1DexgjnPuw5G2TKHyvS9WyPzELdHdReTe1p+mLlQazoAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:56:51.108757Z"},"content_sha256":"7b37470f2ff015e982070f0be0793363616f9070d7da0ada3b828237a89d8a20","schema_version":"1.0","event_id":"sha256:7b37470f2ff015e982070f0be0793363616f9070d7da0ada3b828237a89d8a20"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:YFXPWSZPVIOWM4BFYREHACBY4S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Delay Bounds for Multiclass FIFO","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.PF","authors_text":"Vishal Misra, Yuming Jiang","submitted_at":"2016-05-18T20:35:11Z","abstract_excerpt":"FIFO is perhaps the simplest scheduling discipline. For single-class FIFO, its delay guarantee performance has been extensively studied: The well-known results include a stochastic delay bound for $GI/GI/1$ by Kingman and a deterministic delay bound for $D/D/1$ by Cruz. However, for multiclass FIFO, few such results are available. To fill the gap, we prove delay bounds for multiclass FIFO in this work, considering both deterministic and stochastic cases. Specifically, delay bounds are presented for multiclass D/D/1, GI/GI/1 and G/G/1. In addition, examples are provided for several basic settin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05753","kind":"arxiv","version":2},"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":"2026-05-18T00:36:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ffGkTJw9IAaOZbwLrJbfdAtlfoD/xH6y60ZkI23X4zkajLlgHCHBYm63HFqofmCHZf2Mtw+/I+++LXa9sXOnAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:56:51.109112Z"},"content_sha256":"e485e79be0b2b4ac6324a3f25de9709857e317083e571b8675b4fa5e483211e3","schema_version":"1.0","event_id":"sha256:e485e79be0b2b4ac6324a3f25de9709857e317083e571b8675b4fa5e483211e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YFXPWSZPVIOWM4BFYREHACBY4S/bundle.json","state_url":"https://pith.science/pith/YFXPWSZPVIOWM4BFYREHACBY4S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YFXPWSZPVIOWM4BFYREHACBY4S/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":"2026-06-02T14:56:51Z","links":{"resolver":"https://pith.science/pith/YFXPWSZPVIOWM4BFYREHACBY4S","bundle":"https://pith.science/pith/YFXPWSZPVIOWM4BFYREHACBY4S/bundle.json","state":"https://pith.science/pith/YFXPWSZPVIOWM4BFYREHACBY4S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YFXPWSZPVIOWM4BFYREHACBY4S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YFXPWSZPVIOWM4BFYREHACBY4S","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":"6cfcfc8b6107ea049c16abc29faf0fcdb11d97c52e1972dc70ce1249248e5092","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PF","submitted_at":"2016-05-18T20:35:11Z","title_canon_sha256":"49c1e98b62c587d58f5cd7806d9e0617a62a911e2dcaa6c8b03e8b408e11c7e5"},"schema_version":"1.0","source":{"id":"1605.05753","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05753","created_at":"2026-05-18T00:36:41Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05753v2","created_at":"2026-05-18T00:36:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05753","created_at":"2026-05-18T00:36:41Z"},{"alias_kind":"pith_short_12","alias_value":"YFXPWSZPVIOW","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YFXPWSZPVIOWM4BF","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YFXPWSZP","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:e485e79be0b2b4ac6324a3f25de9709857e317083e571b8675b4fa5e483211e3","target":"graph","created_at":"2026-05-18T00:36:41Z","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":"FIFO is perhaps the simplest scheduling discipline. For single-class FIFO, its delay guarantee performance has been extensively studied: The well-known results include a stochastic delay bound for $GI/GI/1$ by Kingman and a deterministic delay bound for $D/D/1$ by Cruz. However, for multiclass FIFO, few such results are available. To fill the gap, we prove delay bounds for multiclass FIFO in this work, considering both deterministic and stochastic cases. Specifically, delay bounds are presented for multiclass D/D/1, GI/GI/1 and G/G/1. In addition, examples are provided for several basic settin","authors_text":"Vishal Misra, Yuming Jiang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PF","submitted_at":"2016-05-18T20:35:11Z","title":"Delay Bounds for Multiclass FIFO"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05753","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":"sha256:7b37470f2ff015e982070f0be0793363616f9070d7da0ada3b828237a89d8a20","target":"record","created_at":"2026-05-18T00:36:41Z","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":"6cfcfc8b6107ea049c16abc29faf0fcdb11d97c52e1972dc70ce1249248e5092","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PF","submitted_at":"2016-05-18T20:35:11Z","title_canon_sha256":"49c1e98b62c587d58f5cd7806d9e0617a62a911e2dcaa6c8b03e8b408e11c7e5"},"schema_version":"1.0","source":{"id":"1605.05753","kind":"arxiv","version":2}},"canonical_sha256":"c16efb4b2faa1d667025c448700838e4bd2a2e96a2cd00730998ab74448698c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c16efb4b2faa1d667025c448700838e4bd2a2e96a2cd00730998ab74448698c8","first_computed_at":"2026-05-18T00:36:41.347891Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:41.347891Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TtVpQVHDGUr1gGT3jeVFGtTafkrk7GFLCKe0abYkqLiNFaBaw85qHplLkJpIj7NlYyDUCXDGUSWUJrJl8X66Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:41.348585Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.05753","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b37470f2ff015e982070f0be0793363616f9070d7da0ada3b828237a89d8a20","sha256:e485e79be0b2b4ac6324a3f25de9709857e317083e571b8675b4fa5e483211e3"],"state_sha256":"ed3eae4d28c1fb6e62d2a8b2fe04e8fc52e1d6a90ed1331fb7424f682a5b628b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S68Dud3cfFZNRt4vf87SbBDMJrVEnlKCsTJs1247YYfS3H/pM3U7E5Xy6xfhFJu2plwWPaITl1mlZ7JdsK0ZCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T14:56:51.111488Z","bundle_sha256":"0e079a4b2e0647b427c013004786c40137eeebbd12556528a86d6db7bfc8260b"}}