{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:PLSKTBYX5UXJNWRVEWHX65N7PT","short_pith_number":"pith:PLSKTBYX","schema_version":"1.0","canonical_sha256":"7ae4a98717ed2e96da35258f7f75bf7cf54517c6f5c40c3f4c2fe54898daa779","source":{"kind":"arxiv","id":"1106.4891","version":2},"attestation_state":"computed","paper":{"title":"How accurate are the non-linear chemical Fokker-Planck and chemical Langevin equations?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech"],"primary_cat":"q-bio.QM","authors_text":"Arthur V. Straube, Philipp Thomas, Ramon Grima","submitted_at":"2011-06-24T07:10:31Z","abstract_excerpt":"The chemical Fokker-Planck equation and the corresponding chemical Langevin equation are commonly used approximations of the chemical master equation. These equations are derived from an uncontrolled, second-order truncation of the Kramers-Moyal expansion of the chemical master equation and hence their accuracy remains to be clarified. We use the system-size expansion to show that chemical Fokker-Planck estimates of the mean concentrations and of the variance of the concentration fluctuations about the mean are accurate to order $\\Omega^{-3/2}$ for reaction systems which do not obey detailed b"},"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":"1106.4891","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2011-06-24T07:10:31Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech"],"title_canon_sha256":"830fe829180191b7cadc242d842a2a028a5c2bf007b75224c142c4aed51029a6","abstract_canon_sha256":"b3cd5620a5708d877ba5b11f7cb41cdf48e6bf619c85b66ed0dcf56bb7b372bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:31.251104Z","signature_b64":"AeiGMS5f+2/z/7Uw4bsI+j5rfVix+Z6QtczWEoivcope8lrv4omPmSVHTrYDSarPoUGObtUPExf8cri4MEk4AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ae4a98717ed2e96da35258f7f75bf7cf54517c6f5c40c3f4c2fe54898daa779","last_reissued_at":"2026-05-18T02:01:31.250533Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:31.250533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"How accurate are the non-linear chemical Fokker-Planck and chemical Langevin equations?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech"],"primary_cat":"q-bio.QM","authors_text":"Arthur V. Straube, Philipp Thomas, Ramon Grima","submitted_at":"2011-06-24T07:10:31Z","abstract_excerpt":"The chemical Fokker-Planck equation and the corresponding chemical Langevin equation are commonly used approximations of the chemical master equation. These equations are derived from an uncontrolled, second-order truncation of the Kramers-Moyal expansion of the chemical master equation and hence their accuracy remains to be clarified. We use the system-size expansion to show that chemical Fokker-Planck estimates of the mean concentrations and of the variance of the concentration fluctuations about the mean are accurate to order $\\Omega^{-3/2}$ for reaction systems which do not obey detailed b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4891","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":"1106.4891","created_at":"2026-05-18T02:01:31.250616+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.4891v2","created_at":"2026-05-18T02:01:31.250616+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4891","created_at":"2026-05-18T02:01:31.250616+00:00"},{"alias_kind":"pith_short_12","alias_value":"PLSKTBYX5UXJ","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"PLSKTBYX5UXJNWRV","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"PLSKTBYX","created_at":"2026-05-18T12:26:39.201973+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/PLSKTBYX5UXJNWRVEWHX65N7PT","json":"https://pith.science/pith/PLSKTBYX5UXJNWRVEWHX65N7PT.json","graph_json":"https://pith.science/api/pith-number/PLSKTBYX5UXJNWRVEWHX65N7PT/graph.json","events_json":"https://pith.science/api/pith-number/PLSKTBYX5UXJNWRVEWHX65N7PT/events.json","paper":"https://pith.science/paper/PLSKTBYX"},"agent_actions":{"view_html":"https://pith.science/pith/PLSKTBYX5UXJNWRVEWHX65N7PT","download_json":"https://pith.science/pith/PLSKTBYX5UXJNWRVEWHX65N7PT.json","view_paper":"https://pith.science/paper/PLSKTBYX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.4891&json=true","fetch_graph":"https://pith.science/api/pith-number/PLSKTBYX5UXJNWRVEWHX65N7PT/graph.json","fetch_events":"https://pith.science/api/pith-number/PLSKTBYX5UXJNWRVEWHX65N7PT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PLSKTBYX5UXJNWRVEWHX65N7PT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PLSKTBYX5UXJNWRVEWHX65N7PT/action/storage_attestation","attest_author":"https://pith.science/pith/PLSKTBYX5UXJNWRVEWHX65N7PT/action/author_attestation","sign_citation":"https://pith.science/pith/PLSKTBYX5UXJNWRVEWHX65N7PT/action/citation_signature","submit_replication":"https://pith.science/pith/PLSKTBYX5UXJNWRVEWHX65N7PT/action/replication_record"}},"created_at":"2026-05-18T02:01:31.250616+00:00","updated_at":"2026-05-18T02:01:31.250616+00:00"}