{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:LWNM6JDSN35KT3XDIXYJZTNW2J","short_pith_number":"pith:LWNM6JDS","schema_version":"1.0","canonical_sha256":"5d9acf24726efaa9eee345f09ccdb6d242b67e83f81b1714119570f55093c5ac","source":{"kind":"arxiv","id":"2506.06974","version":1},"attestation_state":"computed","paper":{"title":"Optimal Fluctuations for Nonlinear Chemical Reaction Systems with General Rate Law","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph","stat.ME"],"primary_cat":"math.PR","authors_text":"Dongping Jin, Feng Zhao, Jinjie Zhu, Xianbin Liu, Yang Li","submitted_at":"2025-06-08T03:00:30Z","abstract_excerpt":"This paper investigates optimal fluctuations for chemical reaction systems with N species, M reactions, and general rate law. In the limit of large volume, large fluctuations for such models occur with overwhelming probability in the vicinity of the so-called optimal path, which is a basic consequence of the Freidlin-Wentzell theory, and is vital in biochemistry as it unveils the almost deterministic mechanism concealed behind rare noisy phenomena such as escapes from the attractive domain of a stable state and transitions between different metastable states. In this study, an alternative desc"},"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":"2506.06974","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-06-08T03:00:30Z","cross_cats_sorted":["physics.chem-ph","stat.ME"],"title_canon_sha256":"bb785762014ee5dc91258531a9a6eda69ee9f427278f94e18083a2c1d58ad58c","abstract_canon_sha256":"c6ba720aa708e01e0424cf96fb4c1cc4c8426f746d778a3aedcc62f90a777635"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:17:59.133438Z","signature_b64":"+LtUnyUfIldAPDg9NxGkAXhJ+7XzIr39tf+6txM2RFk/xqJ7gvACtfob9kz0C1Y/dUFmOqQTxH8fXU3+cjh0BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d9acf24726efaa9eee345f09ccdb6d242b67e83f81b1714119570f55093c5ac","last_reissued_at":"2026-07-05T11:17:59.133007Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:17:59.133007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal Fluctuations for Nonlinear Chemical Reaction Systems with General Rate Law","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph","stat.ME"],"primary_cat":"math.PR","authors_text":"Dongping Jin, Feng Zhao, Jinjie Zhu, Xianbin Liu, Yang Li","submitted_at":"2025-06-08T03:00:30Z","abstract_excerpt":"This paper investigates optimal fluctuations for chemical reaction systems with N species, M reactions, and general rate law. In the limit of large volume, large fluctuations for such models occur with overwhelming probability in the vicinity of the so-called optimal path, which is a basic consequence of the Freidlin-Wentzell theory, and is vital in biochemistry as it unveils the almost deterministic mechanism concealed behind rare noisy phenomena such as escapes from the attractive domain of a stable state and transitions between different metastable states. In this study, an alternative desc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.06974","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.06974/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2506.06974","created_at":"2026-07-05T11:17:59.133055+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.06974v1","created_at":"2026-07-05T11:17:59.133055+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.06974","created_at":"2026-07-05T11:17:59.133055+00:00"},{"alias_kind":"pith_short_12","alias_value":"LWNM6JDSN35K","created_at":"2026-07-05T11:17:59.133055+00:00"},{"alias_kind":"pith_short_16","alias_value":"LWNM6JDSN35KT3XD","created_at":"2026-07-05T11:17:59.133055+00:00"},{"alias_kind":"pith_short_8","alias_value":"LWNM6JDS","created_at":"2026-07-05T11:17:59.133055+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/LWNM6JDSN35KT3XDIXYJZTNW2J","json":"https://pith.science/pith/LWNM6JDSN35KT3XDIXYJZTNW2J.json","graph_json":"https://pith.science/api/pith-number/LWNM6JDSN35KT3XDIXYJZTNW2J/graph.json","events_json":"https://pith.science/api/pith-number/LWNM6JDSN35KT3XDIXYJZTNW2J/events.json","paper":"https://pith.science/paper/LWNM6JDS"},"agent_actions":{"view_html":"https://pith.science/pith/LWNM6JDSN35KT3XDIXYJZTNW2J","download_json":"https://pith.science/pith/LWNM6JDSN35KT3XDIXYJZTNW2J.json","view_paper":"https://pith.science/paper/LWNM6JDS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.06974&json=true","fetch_graph":"https://pith.science/api/pith-number/LWNM6JDSN35KT3XDIXYJZTNW2J/graph.json","fetch_events":"https://pith.science/api/pith-number/LWNM6JDSN35KT3XDIXYJZTNW2J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LWNM6JDSN35KT3XDIXYJZTNW2J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LWNM6JDSN35KT3XDIXYJZTNW2J/action/storage_attestation","attest_author":"https://pith.science/pith/LWNM6JDSN35KT3XDIXYJZTNW2J/action/author_attestation","sign_citation":"https://pith.science/pith/LWNM6JDSN35KT3XDIXYJZTNW2J/action/citation_signature","submit_replication":"https://pith.science/pith/LWNM6JDSN35KT3XDIXYJZTNW2J/action/replication_record"}},"created_at":"2026-07-05T11:17:59.133055+00:00","updated_at":"2026-07-05T11:17:59.133055+00:00"}