{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2MIGKIESR4KEWKJ3G6BYYLQ5MO","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":"1764e96d03c0edaffb5e58c53edbabbef5c9d0106364be5f43f9f577bcc9ee5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-05-01T14:13:52Z","title_canon_sha256":"916e394f5a2d08f6d79e88258272ba0e0abc75cf78027c8755188b04d28ab9c5"},"schema_version":"1.0","source":{"id":"1705.00530","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00530","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00530v2","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00530","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"pith_short_12","alias_value":"2MIGKIESR4KE","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2MIGKIESR4KEWKJ3","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2MIGKIES","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:913f716597714b94cf015e5d5acd16e44565438f8431b15e83871888d7d477aa","target":"graph","created_at":"2026-05-17T23:47:16Z","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":"Fluid models are a popular formalism in the quantitative modeling of biochemical systems and analytical performance models. The main idea is to approximate a large-scale Markov chain by a compact set of ordinary differential equations (ODEs). Even though it is often crucial for a fluid model under study to satisfy some given properties, a formal verification is usually challenging. This is because parameters are often not known precisely due to finite-precision measurements and stochastic noise. In this paper, we present a novel technique that allows one to efficiently compute formal bounds on","authors_text":"Max Tschaikowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-05-01T14:13:52Z","title":"Over-Approximation of Fluid Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00530","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:aa8d77f92a0671d16f9ef3dc636dbba5e1d102e3f99e5593d9e9e3e1b48d1c8e","target":"record","created_at":"2026-05-17T23:47:16Z","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":"1764e96d03c0edaffb5e58c53edbabbef5c9d0106364be5f43f9f577bcc9ee5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-05-01T14:13:52Z","title_canon_sha256":"916e394f5a2d08f6d79e88258272ba0e0abc75cf78027c8755188b04d28ab9c5"},"schema_version":"1.0","source":{"id":"1705.00530","kind":"arxiv","version":2}},"canonical_sha256":"d3106520928f144b293b37838c2e1d63b1cfb9804e5b0722f04603a12c8d1337","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3106520928f144b293b37838c2e1d63b1cfb9804e5b0722f04603a12c8d1337","first_computed_at":"2026-05-17T23:47:16.249830Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:16.249830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZZbEG6Elt6V4M9yA7Plj6xgvV2OHIhS2r8OdDQO/+EmbBOlD4bZdiqmm35MgCS3+y6wVPW6PaOt0zMa6iC5cBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:16.250348Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.00530","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa8d77f92a0671d16f9ef3dc636dbba5e1d102e3f99e5593d9e9e3e1b48d1c8e","sha256:913f716597714b94cf015e5d5acd16e44565438f8431b15e83871888d7d477aa"],"state_sha256":"690fd6387b01663f470737330a6a281c9f614f75f72f887458eb91c8b058809d"}