{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PEOMYX6COITYQSTXUPKUD7CYRZ","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":"07afcb63aaf0a7047991380c97694126a5208c50ddbdf059cd36255a68d993d4","cross_cats_sorted":["q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-09-06T06:18:21Z","title_canon_sha256":"8acaa30e0faa84d44a8e5bd85adb575c3ebe9184166d693ec1427509ea369fc0"},"schema_version":"1.0","source":{"id":"1609.01405","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.01405","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"arxiv_version","alias_value":"1609.01405v3","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01405","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"pith_short_12","alias_value":"PEOMYX6COITY","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PEOMYX6COITYQSTX","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PEOMYX6C","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:f6d47777e3ff2f9bbc27961d38d373cbcf1f1731acbdba36c93e4f3d625fe73d","target":"graph","created_at":"2026-05-18T00:15:38Z","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":"Chemical reactions often proceed through the formation and the consumption of intermediate species. An example is the creation and subsequent degradation of the substrate-enzyme complexes in an enzymatic reaction. In this paper we provide a setting, based on ordinary differential equations, in which the presence of intermediate species has little effect on the overall dynamics of a biological system. The result provides a method to perform model reduction by elimination of intermediate species. We study the problem in a multiscale setting, where the species abundances as well a the reaction ra","authors_text":"Carsten Wiuf, Daniele Cappelletti","cross_cats":["q-bio.MN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-09-06T06:18:21Z","title":"Uniform Approximation of Solutions by Elimination of Intermediate Species in Deterministic Reaction Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01405","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":"sha256:5b5c7a4d035f6f477814115667e6c270038e80e036bf7f896f4770e8e7ab97c1","target":"record","created_at":"2026-05-18T00:15:38Z","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":"07afcb63aaf0a7047991380c97694126a5208c50ddbdf059cd36255a68d993d4","cross_cats_sorted":["q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-09-06T06:18:21Z","title_canon_sha256":"8acaa30e0faa84d44a8e5bd85adb575c3ebe9184166d693ec1427509ea369fc0"},"schema_version":"1.0","source":{"id":"1609.01405","kind":"arxiv","version":3}},"canonical_sha256":"791ccc5fc27227884a77a3d541fc588e7ceebdc4db4b02ba86eff4e61183ace7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"791ccc5fc27227884a77a3d541fc588e7ceebdc4db4b02ba86eff4e61183ace7","first_computed_at":"2026-05-18T00:15:38.081421Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:38.081421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KJbkGH9LEihhiZFvfr3XMkXJ93ihZC/1ttkYPLPXd7JV45syFjLCgTUoGmef5gpHi05KmVu0tEhYTEPWqcEzBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:38.082110Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.01405","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b5c7a4d035f6f477814115667e6c270038e80e036bf7f896f4770e8e7ab97c1","sha256:f6d47777e3ff2f9bbc27961d38d373cbcf1f1731acbdba36c93e4f3d625fe73d"],"state_sha256":"3ccc28b337f364521fc74ec68324c4dfc7dec57d3cc925fb56bdc6ec732f1742"}