{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:DALVB5L2GEEDJCLPLEVGOBDYVS","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":"48ac0dd10817077959144cca85d857f8402a5402700dad143c76fcc0cc3c9187","cross_cats_sorted":["math.CO"],"license":"","primary_cat":"math.PR","submitted_at":"2002-10-08T15:31:50Z","title_canon_sha256":"1b9c928248e26e47cbba825ff398571457d3382690f96f4e3077c7ddf80714fe"},"schema_version":"1.0","source":{"id":"math/0210109","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0210109","created_at":"2026-07-04T14:36:37Z"},{"alias_kind":"arxiv_version","alias_value":"math/0210109v3","created_at":"2026-07-04T14:36:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0210109","created_at":"2026-07-04T14:36:37Z"},{"alias_kind":"pith_short_12","alias_value":"DALVB5L2GEED","created_at":"2026-07-04T14:36:37Z"},{"alias_kind":"pith_short_16","alias_value":"DALVB5L2GEEDJCLP","created_at":"2026-07-04T14:36:37Z"},{"alias_kind":"pith_short_8","alias_value":"DALVB5L2","created_at":"2026-07-04T14:36:37Z"}],"graph_snapshots":[{"event_id":"sha256:162dc062627cdd28543a605f7781e572d72280bf66d2a3e3020410cca134e9ca","target":"graph","created_at":"2026-07-04T14:36:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0210109/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A rescaled Markov chain converges uniformly in probability to the solution of an ordinary differential equation, under carefully specified assumptions.\n  The presentation is much simpler than those in the outside literature.\n  The result may be used to build parsimonious models of large random or pseudo-random systems.","authors_text":"R. W. R. Darling","cross_cats":["math.CO"],"headline":"","license":"","primary_cat":"math.PR","submitted_at":"2002-10-08T15:31:50Z","title":"Fluid Limits of Pure Jump Markov Processes: a Practical Guide"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0210109","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":"sha256:6100820df64d4596389bfcd68db0060d6a645b7657530e1a503a5ffb73de3c10","target":"record","created_at":"2026-07-04T14:36:37Z","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":"48ac0dd10817077959144cca85d857f8402a5402700dad143c76fcc0cc3c9187","cross_cats_sorted":["math.CO"],"license":"","primary_cat":"math.PR","submitted_at":"2002-10-08T15:31:50Z","title_canon_sha256":"1b9c928248e26e47cbba825ff398571457d3382690f96f4e3077c7ddf80714fe"},"schema_version":"1.0","source":{"id":"math/0210109","kind":"arxiv","version":3}},"canonical_sha256":"181750f57a310834896f592a670478acbb9848cb03fa6f6e1b01d143b0764eeb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"181750f57a310834896f592a670478acbb9848cb03fa6f6e1b01d143b0764eeb","first_computed_at":"2026-07-04T14:36:37.052583Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:36:37.052583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yKjhB8+4xt8nOQjjTRV3JMEZoaAHgZU1OiYWOF6FrzeUTsIlvIbiLhz4xK8mTnG4qMvHYqjMf81ycluR8Cz/AQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:36:37.052983Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0210109","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6100820df64d4596389bfcd68db0060d6a645b7657530e1a503a5ffb73de3c10","sha256:162dc062627cdd28543a605f7781e572d72280bf66d2a3e3020410cca134e9ca"],"state_sha256":"a61c3488966bf1e976fae2152cdece29be7d8f886a42c09cb48c40cb94226e35"}