{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:JGFGRZJ6CP37W3TT2CSWFEMNCD","short_pith_number":"pith:JGFGRZJ6","schema_version":"1.0","canonical_sha256":"498a68e53e13f7fb6e73d0a562918d10cf228ef98e67243b1715573b174d2a5f","source":{"kind":"arxiv","id":"1709.00475","version":2},"attestation_state":"computed","paper":{"title":"Mesoscopic-microscopic spatial stochastic simulation with automatic system partitioning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Andreas Hellander, Linda Petzold, Stefan Hellander","submitted_at":"2017-09-01T20:50:01Z","abstract_excerpt":"The reaction-diffusion master equation (RDME) is a model that allows for efficient on-lattice simulation of spatially resolved stochastic chemical kinetics. Compared to off-lattice hard-sphere simulations with Brownian Dynamics (BD) or Green's Function Reaction Dynamics (GFRD) the RDME can be orders of magnitude faster if the lattice spacing can be chosen coarse enough. However, strongly diffusion-controlled reactions mandate a very fine mesh resolution for acceptable accuracy. It is common that reactions in the same model differ in their degree of diffusion control and therefore require diffe"},"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":"1709.00475","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-01T20:50:01Z","cross_cats_sorted":[],"title_canon_sha256":"653499e5ce5ac95056e86a13bed1a7eba869656d6be8d2f6383549250867ed30","abstract_canon_sha256":"be760479c619dfe73dce3e1419a695844751225269bc12f74960944107331539"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:00.988740Z","signature_b64":"a7z+tTjQYWWdKXvAs9wbttFL/AgAZ09Xubq/i2MG+lieUH10NtJLOD+Ivzocz6WDp1zzC3jw9Q6vF4jjjVwnAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"498a68e53e13f7fb6e73d0a562918d10cf228ef98e67243b1715573b174d2a5f","last_reissued_at":"2026-05-18T00:36:00.988185Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:00.988185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mesoscopic-microscopic spatial stochastic simulation with automatic system partitioning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Andreas Hellander, Linda Petzold, Stefan Hellander","submitted_at":"2017-09-01T20:50:01Z","abstract_excerpt":"The reaction-diffusion master equation (RDME) is a model that allows for efficient on-lattice simulation of spatially resolved stochastic chemical kinetics. Compared to off-lattice hard-sphere simulations with Brownian Dynamics (BD) or Green's Function Reaction Dynamics (GFRD) the RDME can be orders of magnitude faster if the lattice spacing can be chosen coarse enough. However, strongly diffusion-controlled reactions mandate a very fine mesh resolution for acceptable accuracy. It is common that reactions in the same model differ in their degree of diffusion control and therefore require diffe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00475","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":"1709.00475","created_at":"2026-05-18T00:36:00.988282+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.00475v2","created_at":"2026-05-18T00:36:00.988282+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.00475","created_at":"2026-05-18T00:36:00.988282+00:00"},{"alias_kind":"pith_short_12","alias_value":"JGFGRZJ6CP37","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"JGFGRZJ6CP37W3TT","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"JGFGRZJ6","created_at":"2026-05-18T12:31:24.725408+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/JGFGRZJ6CP37W3TT2CSWFEMNCD","json":"https://pith.science/pith/JGFGRZJ6CP37W3TT2CSWFEMNCD.json","graph_json":"https://pith.science/api/pith-number/JGFGRZJ6CP37W3TT2CSWFEMNCD/graph.json","events_json":"https://pith.science/api/pith-number/JGFGRZJ6CP37W3TT2CSWFEMNCD/events.json","paper":"https://pith.science/paper/JGFGRZJ6"},"agent_actions":{"view_html":"https://pith.science/pith/JGFGRZJ6CP37W3TT2CSWFEMNCD","download_json":"https://pith.science/pith/JGFGRZJ6CP37W3TT2CSWFEMNCD.json","view_paper":"https://pith.science/paper/JGFGRZJ6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.00475&json=true","fetch_graph":"https://pith.science/api/pith-number/JGFGRZJ6CP37W3TT2CSWFEMNCD/graph.json","fetch_events":"https://pith.science/api/pith-number/JGFGRZJ6CP37W3TT2CSWFEMNCD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JGFGRZJ6CP37W3TT2CSWFEMNCD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JGFGRZJ6CP37W3TT2CSWFEMNCD/action/storage_attestation","attest_author":"https://pith.science/pith/JGFGRZJ6CP37W3TT2CSWFEMNCD/action/author_attestation","sign_citation":"https://pith.science/pith/JGFGRZJ6CP37W3TT2CSWFEMNCD/action/citation_signature","submit_replication":"https://pith.science/pith/JGFGRZJ6CP37W3TT2CSWFEMNCD/action/replication_record"}},"created_at":"2026-05-18T00:36:00.988282+00:00","updated_at":"2026-05-18T00:36:00.988282+00:00"}