{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:2VLXYDWXEVQXUZM6LUEH3OSAB4","short_pith_number":"pith:2VLXYDWX","canonical_record":{"source":{"id":"1604.02008","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-04-07T14:21:31Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"4909e4f617da301d2f42345894db480b59e9e486fbd07dbe6d43d69c4bebe3ea","abstract_canon_sha256":"b1ec07e1449171fdbec7698f477e9a1e7bbf1040b3c8b6bd012f62c53e183a12"},"schema_version":"1.0"},"canonical_sha256":"d5577c0ed725617a659e5d087dba400f1b6fadccd14121c25885a136a886acf9","source":{"kind":"arxiv","id":"1604.02008","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02008","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02008v6","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02008","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"pith_short_12","alias_value":"2VLXYDWXEVQX","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2VLXYDWXEVQXUZM6","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2VLXYDWX","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:2VLXYDWXEVQXUZM6LUEH3OSAB4","target":"record","payload":{"canonical_record":{"source":{"id":"1604.02008","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-04-07T14:21:31Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"4909e4f617da301d2f42345894db480b59e9e486fbd07dbe6d43d69c4bebe3ea","abstract_canon_sha256":"b1ec07e1449171fdbec7698f477e9a1e7bbf1040b3c8b6bd012f62c53e183a12"},"schema_version":"1.0"},"canonical_sha256":"d5577c0ed725617a659e5d087dba400f1b6fadccd14121c25885a136a886acf9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:14.636199Z","signature_b64":"SdbdjAnTk7tvO7ErYZJmuBtyV5E10ELXz+5i0TPQ+1PbNlHkXzRxS+HUmFEmSB2cbVEG/KRjBZ4NdtXeesLZDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5577c0ed725617a659e5d087dba400f1b6fadccd14121c25885a136a886acf9","last_reissued_at":"2026-05-18T00:23:14.635555Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:14.635555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.02008","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:23:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QzT6lnnv3Kyrd3Rz5qMoc7jEVirGpzHWchaCQ12L+RxHjaSiCY081too4VS2HzziRcRh4ttQvXHkb9h8t9zXAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T07:09:33.576690Z"},"content_sha256":"a95857ab1ac82b91195c48a0afa36e05ec41d8b8dcd863c7a73be76c9998a367","schema_version":"1.0","event_id":"sha256:a95857ab1ac82b91195c48a0afa36e05ec41d8b8dcd863c7a73be76c9998a367"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:2VLXYDWXEVQXUZM6LUEH3OSAB4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of Fluid Queuing Systems with Parallel Servers and Stochastic Capacities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Li Jin, Saurabh Amin","submitted_at":"2016-04-07T14:21:31Z","abstract_excerpt":"This note introduces a piecewise-deterministic queueing (PDQ) model to study the stability of traffic queues in parallel-link transportation systems facing stochastic capacity fluctuations. The saturation rate (capacity) of the PDQ model switches between a finite set of modes according to a Markov chain, and link inflows are controlled by a state-feedback policy. A PDQ system is stable only if a lower bound on the time-average link inflows does not exceed the corresponding time-average saturation rate. Furthermore, a PDQ system is stable if the following two conditions hold: the nominal mode's"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02008","kind":"arxiv","version":6},"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":"2026-05-18T00:23:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2dHCsfoG0aUoJh9OnKos5xC3SrvICG2JS52RqFKnZE5Sr2e3pA5jOebUOV/ov9mAMaM/qZAXZCXP4ugbOJpRBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T07:09:33.577041Z"},"content_sha256":"fd6b302a0147e27a09eaa0a9093ca54423d462fce840b4d2f6255adaf9212e21","schema_version":"1.0","event_id":"sha256:fd6b302a0147e27a09eaa0a9093ca54423d462fce840b4d2f6255adaf9212e21"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2VLXYDWXEVQXUZM6LUEH3OSAB4/bundle.json","state_url":"https://pith.science/pith/2VLXYDWXEVQXUZM6LUEH3OSAB4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2VLXYDWXEVQXUZM6LUEH3OSAB4/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":"2026-05-21T07:09:33Z","links":{"resolver":"https://pith.science/pith/2VLXYDWXEVQXUZM6LUEH3OSAB4","bundle":"https://pith.science/pith/2VLXYDWXEVQXUZM6LUEH3OSAB4/bundle.json","state":"https://pith.science/pith/2VLXYDWXEVQXUZM6LUEH3OSAB4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2VLXYDWXEVQXUZM6LUEH3OSAB4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2VLXYDWXEVQXUZM6LUEH3OSAB4","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":"b1ec07e1449171fdbec7698f477e9a1e7bbf1040b3c8b6bd012f62c53e183a12","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-04-07T14:21:31Z","title_canon_sha256":"4909e4f617da301d2f42345894db480b59e9e486fbd07dbe6d43d69c4bebe3ea"},"schema_version":"1.0","source":{"id":"1604.02008","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02008","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02008v6","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02008","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"pith_short_12","alias_value":"2VLXYDWXEVQX","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2VLXYDWXEVQXUZM6","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2VLXYDWX","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:fd6b302a0147e27a09eaa0a9093ca54423d462fce840b4d2f6255adaf9212e21","target":"graph","created_at":"2026-05-18T00:23:14Z","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 note introduces a piecewise-deterministic queueing (PDQ) model to study the stability of traffic queues in parallel-link transportation systems facing stochastic capacity fluctuations. The saturation rate (capacity) of the PDQ model switches between a finite set of modes according to a Markov chain, and link inflows are controlled by a state-feedback policy. A PDQ system is stable only if a lower bound on the time-average link inflows does not exceed the corresponding time-average saturation rate. Furthermore, a PDQ system is stable if the following two conditions hold: the nominal mode's","authors_text":"Li Jin, Saurabh Amin","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-04-07T14:21:31Z","title":"Stability of Fluid Queuing Systems with Parallel Servers and Stochastic Capacities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02008","kind":"arxiv","version":6},"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:a95857ab1ac82b91195c48a0afa36e05ec41d8b8dcd863c7a73be76c9998a367","target":"record","created_at":"2026-05-18T00:23:14Z","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":"b1ec07e1449171fdbec7698f477e9a1e7bbf1040b3c8b6bd012f62c53e183a12","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-04-07T14:21:31Z","title_canon_sha256":"4909e4f617da301d2f42345894db480b59e9e486fbd07dbe6d43d69c4bebe3ea"},"schema_version":"1.0","source":{"id":"1604.02008","kind":"arxiv","version":6}},"canonical_sha256":"d5577c0ed725617a659e5d087dba400f1b6fadccd14121c25885a136a886acf9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5577c0ed725617a659e5d087dba400f1b6fadccd14121c25885a136a886acf9","first_computed_at":"2026-05-18T00:23:14.635555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:14.635555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SdbdjAnTk7tvO7ErYZJmuBtyV5E10ELXz+5i0TPQ+1PbNlHkXzRxS+HUmFEmSB2cbVEG/KRjBZ4NdtXeesLZDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:14.636199Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02008","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a95857ab1ac82b91195c48a0afa36e05ec41d8b8dcd863c7a73be76c9998a367","sha256:fd6b302a0147e27a09eaa0a9093ca54423d462fce840b4d2f6255adaf9212e21"],"state_sha256":"5986844c65e685d60ad1daf72864de2c231c4cfa4f2eb9c4466c38fa71791a9a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8MAIM0Gpnu3pFLI6iDDUh5OKnhjKV66aIgTQYxH76WgTDocN7hmLPmbT10NR+wqvqb8zERRLWzQD2FMHZc4WBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T07:09:33.579244Z","bundle_sha256":"bb58befe4f7ab9481edc194ccf9c3dee181fbd776dde07dba57420dec8636141"}}