{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:SP5UDAZ74BOU5EAPPJRHKICRME","short_pith_number":"pith:SP5UDAZ7","schema_version":"1.0","canonical_sha256":"93fb41833fe05d4e900f7a627520516109bf43aaa930019068364d3385ebd6db","source":{"kind":"arxiv","id":"1805.03794","version":3},"attestation_state":"computed","paper":{"title":"Diffusion-dynamics laws in stochastic reaction networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.MN"],"primary_cat":"physics.bio-ph","authors_text":"Tan Van Vu, Yoshihiko Hasegawa","submitted_at":"2018-05-10T02:42:44Z","abstract_excerpt":"Many biological activities are induced by cellular chemical reactions of diffusing reactants. The dynamics of such systems can be captured by stochastic reaction networks. A recent numerical study has shown that diffusion can significantly enhance the fluctuations in gene regulatory networks. However, the universal relation between diffusion and stochastic system dynamics remains veiled. Within the approximation of reaction-diffusion master equation (RDME), we find general relation that the steady-state distribution in complex balanced networks is diffusion-independent. Here, complex balance i"},"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":"1805.03794","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2018-05-10T02:42:44Z","cross_cats_sorted":["q-bio.MN"],"title_canon_sha256":"77625475ce3bf0b2dd792338e875271c22b79028be2a82eaf643d04a396dc0ec","abstract_canon_sha256":"618121f8bb7462cceac18dbeb06416bd3bbf27f3769ebcff4620d543c776bf6b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:10.128744Z","signature_b64":"/JapHKkrFdfBGtm9aQzWvCPLh1lLoQxXvHVShQVhFji58BUyp5HwS/c+4cVfBC2fMnx3Uamu/Mkt6lITfehQBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93fb41833fe05d4e900f7a627520516109bf43aaa930019068364d3385ebd6db","last_reissued_at":"2026-05-17T23:56:10.128025Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:10.128025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diffusion-dynamics laws in stochastic reaction networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.MN"],"primary_cat":"physics.bio-ph","authors_text":"Tan Van Vu, Yoshihiko Hasegawa","submitted_at":"2018-05-10T02:42:44Z","abstract_excerpt":"Many biological activities are induced by cellular chemical reactions of diffusing reactants. The dynamics of such systems can be captured by stochastic reaction networks. A recent numerical study has shown that diffusion can significantly enhance the fluctuations in gene regulatory networks. However, the universal relation between diffusion and stochastic system dynamics remains veiled. Within the approximation of reaction-diffusion master equation (RDME), we find general relation that the steady-state distribution in complex balanced networks is diffusion-independent. Here, complex balance i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.03794","kind":"arxiv","version":3},"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":"1805.03794","created_at":"2026-05-17T23:56:10.128145+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.03794v3","created_at":"2026-05-17T23:56:10.128145+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.03794","created_at":"2026-05-17T23:56:10.128145+00:00"},{"alias_kind":"pith_short_12","alias_value":"SP5UDAZ74BOU","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"SP5UDAZ74BOU5EAP","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"SP5UDAZ7","created_at":"2026-05-18T12:32:53.628368+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/SP5UDAZ74BOU5EAPPJRHKICRME","json":"https://pith.science/pith/SP5UDAZ74BOU5EAPPJRHKICRME.json","graph_json":"https://pith.science/api/pith-number/SP5UDAZ74BOU5EAPPJRHKICRME/graph.json","events_json":"https://pith.science/api/pith-number/SP5UDAZ74BOU5EAPPJRHKICRME/events.json","paper":"https://pith.science/paper/SP5UDAZ7"},"agent_actions":{"view_html":"https://pith.science/pith/SP5UDAZ74BOU5EAPPJRHKICRME","download_json":"https://pith.science/pith/SP5UDAZ74BOU5EAPPJRHKICRME.json","view_paper":"https://pith.science/paper/SP5UDAZ7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.03794&json=true","fetch_graph":"https://pith.science/api/pith-number/SP5UDAZ74BOU5EAPPJRHKICRME/graph.json","fetch_events":"https://pith.science/api/pith-number/SP5UDAZ74BOU5EAPPJRHKICRME/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SP5UDAZ74BOU5EAPPJRHKICRME/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SP5UDAZ74BOU5EAPPJRHKICRME/action/storage_attestation","attest_author":"https://pith.science/pith/SP5UDAZ74BOU5EAPPJRHKICRME/action/author_attestation","sign_citation":"https://pith.science/pith/SP5UDAZ74BOU5EAPPJRHKICRME/action/citation_signature","submit_replication":"https://pith.science/pith/SP5UDAZ74BOU5EAPPJRHKICRME/action/replication_record"}},"created_at":"2026-05-17T23:56:10.128145+00:00","updated_at":"2026-05-17T23:56:10.128145+00:00"}