{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:W5M7KZOJCHW4VYN3TY4RXIIMGG","short_pith_number":"pith:W5M7KZOJ","canonical_record":{"source":{"id":"1512.00620","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-12-02T09:11:50Z","cross_cats_sorted":[],"title_canon_sha256":"29084a58f97182d85a772c5a82e2694b01214256f213401b104d60bbb1092527","abstract_canon_sha256":"ced5f3c98bd25583942c52ba0ac63ee46e65ee7758dbfe22267eb6fc5f435dd0"},"schema_version":"1.0"},"canonical_sha256":"b759f565c911edcae1bb9e391ba10c31b4d5552c49654ac829455ca4b138c2e0","source":{"kind":"arxiv","id":"1512.00620","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00620","created_at":"2026-05-18T00:46:49Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00620v3","created_at":"2026-05-18T00:46:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00620","created_at":"2026-05-18T00:46:49Z"},{"alias_kind":"pith_short_12","alias_value":"W5M7KZOJCHW4","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"W5M7KZOJCHW4VYN3","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"W5M7KZOJ","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:W5M7KZOJCHW4VYN3TY4RXIIMGG","target":"record","payload":{"canonical_record":{"source":{"id":"1512.00620","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-12-02T09:11:50Z","cross_cats_sorted":[],"title_canon_sha256":"29084a58f97182d85a772c5a82e2694b01214256f213401b104d60bbb1092527","abstract_canon_sha256":"ced5f3c98bd25583942c52ba0ac63ee46e65ee7758dbfe22267eb6fc5f435dd0"},"schema_version":"1.0"},"canonical_sha256":"b759f565c911edcae1bb9e391ba10c31b4d5552c49654ac829455ca4b138c2e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:49.631592Z","signature_b64":"1wTv5xBZSmnW6qsO+QaFXTSScE2Wig1W5Cibf65s62Jx/PzRh419nyThRQjCG9FAyWq1xPRtEtz3SIz/8qwsBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b759f565c911edcae1bb9e391ba10c31b4d5552c49654ac829455ca4b138c2e0","last_reissued_at":"2026-05-18T00:46:49.630869Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:49.630869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.00620","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:46:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uAt7E7yoYwSs6tL2p5R2ZLSxxGI7SjxWTvxPaiLGtyuL31ZKb97kDCQCCBh6UT5U1+jWfkTGrk3V0kjcr/xCBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:01:59.065442Z"},"content_sha256":"bf27b53251be68446cf52cfb7db71cf963bdb01fc9b9f2e26ea1e62ac06ddef9","schema_version":"1.0","event_id":"sha256:bf27b53251be68446cf52cfb7db71cf963bdb01fc9b9f2e26ea1e62ac06ddef9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:W5M7KZOJCHW4VYN3TY4RXIIMGG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimality of the generalized c\\mu- rule in the moderate deviation regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Rami Atar, Subhamay Saha","submitted_at":"2015-12-02T09:11:50Z","abstract_excerpt":"This paper studies a multiclass queueing system with an associated risk- sensitive cost observed in heavy traffic at the moderate deviation scale, accounting for convex queue length penalties. The main result is the asymptotic optimality of a dynamic index policy known from the diffusion scale heavy traffic literature as the generalized c\\mu- rule."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00620","kind":"arxiv","version":3},"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":"2026-05-18T00:46:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QZxH7wp4eQbEkXbPkt9pFFE6weTJ8C+mQ9qAODS4oMyD9XiGomyq6c0TtdBaMb3y5KW9kIUP7GJpBHtHXws0Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:01:59.066027Z"},"content_sha256":"1c404bacb3d5d528f27196920a86defa3e8dcc62e9ea3b7e39c4045c29c31edf","schema_version":"1.0","event_id":"sha256:1c404bacb3d5d528f27196920a86defa3e8dcc62e9ea3b7e39c4045c29c31edf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W5M7KZOJCHW4VYN3TY4RXIIMGG/bundle.json","state_url":"https://pith.science/pith/W5M7KZOJCHW4VYN3TY4RXIIMGG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W5M7KZOJCHW4VYN3TY4RXIIMGG/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":"2026-05-27T07:01:59Z","links":{"resolver":"https://pith.science/pith/W5M7KZOJCHW4VYN3TY4RXIIMGG","bundle":"https://pith.science/pith/W5M7KZOJCHW4VYN3TY4RXIIMGG/bundle.json","state":"https://pith.science/pith/W5M7KZOJCHW4VYN3TY4RXIIMGG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W5M7KZOJCHW4VYN3TY4RXIIMGG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:W5M7KZOJCHW4VYN3TY4RXIIMGG","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":"ced5f3c98bd25583942c52ba0ac63ee46e65ee7758dbfe22267eb6fc5f435dd0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-12-02T09:11:50Z","title_canon_sha256":"29084a58f97182d85a772c5a82e2694b01214256f213401b104d60bbb1092527"},"schema_version":"1.0","source":{"id":"1512.00620","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00620","created_at":"2026-05-18T00:46:49Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00620v3","created_at":"2026-05-18T00:46:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00620","created_at":"2026-05-18T00:46:49Z"},{"alias_kind":"pith_short_12","alias_value":"W5M7KZOJCHW4","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"W5M7KZOJCHW4VYN3","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"W5M7KZOJ","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:1c404bacb3d5d528f27196920a86defa3e8dcc62e9ea3b7e39c4045c29c31edf","target":"graph","created_at":"2026-05-18T00:46:49Z","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 studies a multiclass queueing system with an associated risk- sensitive cost observed in heavy traffic at the moderate deviation scale, accounting for convex queue length penalties. The main result is the asymptotic optimality of a dynamic index policy known from the diffusion scale heavy traffic literature as the generalized c\\mu- rule.","authors_text":"Rami Atar, Subhamay Saha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-12-02T09:11:50Z","title":"Optimality of the generalized c\\mu- rule in the moderate deviation regime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00620","kind":"arxiv","version":3},"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:bf27b53251be68446cf52cfb7db71cf963bdb01fc9b9f2e26ea1e62ac06ddef9","target":"record","created_at":"2026-05-18T00:46:49Z","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":"ced5f3c98bd25583942c52ba0ac63ee46e65ee7758dbfe22267eb6fc5f435dd0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-12-02T09:11:50Z","title_canon_sha256":"29084a58f97182d85a772c5a82e2694b01214256f213401b104d60bbb1092527"},"schema_version":"1.0","source":{"id":"1512.00620","kind":"arxiv","version":3}},"canonical_sha256":"b759f565c911edcae1bb9e391ba10c31b4d5552c49654ac829455ca4b138c2e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b759f565c911edcae1bb9e391ba10c31b4d5552c49654ac829455ca4b138c2e0","first_computed_at":"2026-05-18T00:46:49.630869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:49.630869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1wTv5xBZSmnW6qsO+QaFXTSScE2Wig1W5Cibf65s62Jx/PzRh419nyThRQjCG9FAyWq1xPRtEtz3SIz/8qwsBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:49.631592Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.00620","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf27b53251be68446cf52cfb7db71cf963bdb01fc9b9f2e26ea1e62ac06ddef9","sha256:1c404bacb3d5d528f27196920a86defa3e8dcc62e9ea3b7e39c4045c29c31edf"],"state_sha256":"b2da4d1d5a546661651fb818c82b38a0c08cc1e3f641ad6f770309069abc5281"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"raCSibz33ab8lsSGXy6uTqlu8hKZq7JrSu4e87iU+T4s9G/SxXSkKeg0+JBWZsfXK0VGEBlDyksOPB7cBzKHCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T07:01:59.069194Z","bundle_sha256":"667c66f4e341bebb7c538c1757ae71b89af344fafe0675ec3a578b32e71956eb"}}