{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:X7EJDJ5T6Q7NMYFYISKGGOV77V","short_pith_number":"pith:X7EJDJ5T","schema_version":"1.0","canonical_sha256":"bfc891a7b3f43ed660b84494633abffd66d0347e2eaf0f505f6664af11e611d4","source":{"kind":"arxiv","id":"1604.05378","version":2},"attestation_state":"computed","paper":{"title":"Model order reduction for Linear Noise Approximation using time-scale separation (Extended Version)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.MN"],"primary_cat":"math.DS","authors_text":"Domitilla Del Vecchio, Narmada Herath","submitted_at":"2016-04-18T23:20:36Z","abstract_excerpt":"In this paper, we focus on model reduction of biomolecular systems with multiple time-scales, modeled using the Linear Noise Approximation. Considering systems where the Linear Noise Approximation can be written in singular perturbation form, with $\\epsilon$ as the singular perturbation parameter, we obtain a reduced order model that approximates the slow variable dynamics of the original system. In particular, we show that, on a finite time-interval, the first and second moments of the reduced system are within an $O(\\epsilon)$-neighborhood of the first and second moments of the slow variable"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1604.05378","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-04-18T23:20:36Z","cross_cats_sorted":["q-bio.MN"],"title_canon_sha256":"b723ec76447d6bb3575dc6e2187497d96384ad8060e3dade65ccb2226d4ee232","abstract_canon_sha256":"8dd622efa4b560a4a6857e2212cecce07ffd3a2bae9ae1fb2d8cae2a007480f8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:59.152358Z","signature_b64":"zYw/rD6PGPlByi+28jC//R3mfcp6NNHs56uNXU8WK915qoNrVz13LAKql0EX+3qL/TnXNeskIGy9IpoVTifgAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfc891a7b3f43ed660b84494633abffd66d0347e2eaf0f505f6664af11e611d4","last_reissued_at":"2026-05-18T01:03:59.151655Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:59.151655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Model order reduction for Linear Noise Approximation using time-scale separation (Extended Version)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.MN"],"primary_cat":"math.DS","authors_text":"Domitilla Del Vecchio, Narmada Herath","submitted_at":"2016-04-18T23:20:36Z","abstract_excerpt":"In this paper, we focus on model reduction of biomolecular systems with multiple time-scales, modeled using the Linear Noise Approximation. Considering systems where the Linear Noise Approximation can be written in singular perturbation form, with $\\epsilon$ as the singular perturbation parameter, we obtain a reduced order model that approximates the slow variable dynamics of the original system. In particular, we show that, on a finite time-interval, the first and second moments of the reduced system are within an $O(\\epsilon)$-neighborhood of the first and second moments of the slow variable"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05378","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1604.05378","created_at":"2026-05-18T01:03:59.151779+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.05378v2","created_at":"2026-05-18T01:03:59.151779+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05378","created_at":"2026-05-18T01:03:59.151779+00:00"},{"alias_kind":"pith_short_12","alias_value":"X7EJDJ5T6Q7N","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"X7EJDJ5T6Q7NMYFY","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"X7EJDJ5T","created_at":"2026-05-18T12:30:51.357362+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/X7EJDJ5T6Q7NMYFYISKGGOV77V","json":"https://pith.science/pith/X7EJDJ5T6Q7NMYFYISKGGOV77V.json","graph_json":"https://pith.science/api/pith-number/X7EJDJ5T6Q7NMYFYISKGGOV77V/graph.json","events_json":"https://pith.science/api/pith-number/X7EJDJ5T6Q7NMYFYISKGGOV77V/events.json","paper":"https://pith.science/paper/X7EJDJ5T"},"agent_actions":{"view_html":"https://pith.science/pith/X7EJDJ5T6Q7NMYFYISKGGOV77V","download_json":"https://pith.science/pith/X7EJDJ5T6Q7NMYFYISKGGOV77V.json","view_paper":"https://pith.science/paper/X7EJDJ5T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.05378&json=true","fetch_graph":"https://pith.science/api/pith-number/X7EJDJ5T6Q7NMYFYISKGGOV77V/graph.json","fetch_events":"https://pith.science/api/pith-number/X7EJDJ5T6Q7NMYFYISKGGOV77V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X7EJDJ5T6Q7NMYFYISKGGOV77V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X7EJDJ5T6Q7NMYFYISKGGOV77V/action/storage_attestation","attest_author":"https://pith.science/pith/X7EJDJ5T6Q7NMYFYISKGGOV77V/action/author_attestation","sign_citation":"https://pith.science/pith/X7EJDJ5T6Q7NMYFYISKGGOV77V/action/citation_signature","submit_replication":"https://pith.science/pith/X7EJDJ5T6Q7NMYFYISKGGOV77V/action/replication_record"}},"created_at":"2026-05-18T01:03:59.151779+00:00","updated_at":"2026-05-18T01:03:59.151779+00:00"}