{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:3P632MVDTYEFDMGUCOAIN74LBY","short_pith_number":"pith:3P632MVD","canonical_record":{"source":{"id":"1305.3639","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2013-05-15T21:18:04Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"7644a933f3a34ed15b481b714d0a294e72a0184c6f059c8c08d413e8d035ddf0","abstract_canon_sha256":"5f1d739b5cddf7ec217d4d21b58664af690fcc6a7b997d1462a30266be915b9f"},"schema_version":"1.0"},"canonical_sha256":"dbfdbd32a39e0851b0d4138086ff8b0e1e2e972429d9352c78f7ae207a8c794f","source":{"kind":"arxiv","id":"1305.3639","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3639","created_at":"2026-05-18T01:49:56Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3639v1","created_at":"2026-05-18T01:49:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3639","created_at":"2026-05-18T01:49:56Z"},{"alias_kind":"pith_short_12","alias_value":"3P632MVDTYEF","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3P632MVDTYEFDMGU","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3P632MVD","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:3P632MVDTYEFDMGUCOAIN74LBY","target":"record","payload":{"canonical_record":{"source":{"id":"1305.3639","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2013-05-15T21:18:04Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"7644a933f3a34ed15b481b714d0a294e72a0184c6f059c8c08d413e8d035ddf0","abstract_canon_sha256":"5f1d739b5cddf7ec217d4d21b58664af690fcc6a7b997d1462a30266be915b9f"},"schema_version":"1.0"},"canonical_sha256":"dbfdbd32a39e0851b0d4138086ff8b0e1e2e972429d9352c78f7ae207a8c794f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:56.691914Z","signature_b64":"r28bxjisLUlV7EDM2jj7VJX+7nWvCrofV7wziMAkDOYTeZ6dIP0iFDL+HP2sGSLvQ2X0zOpcgGCOX/4ymyvjDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dbfdbd32a39e0851b0d4138086ff8b0e1e2e972429d9352c78f7ae207a8c794f","last_reissued_at":"2026-05-18T01:49:56.691445Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:56.691445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.3639","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:49:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HEUkFpwHvnRazPeWb2L7/w+vkHPw0sUuoYAFqIocRuxTOlkvDK212Kaett7c2YdNlIWCSHuScjk9jyBE7aE8BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T11:58:47.483114Z"},"content_sha256":"0aa79bc827f69f29679a1076d9e1b0770679ff321409732aaa056075c68ac843","schema_version":"1.0","event_id":"sha256:0aa79bc827f69f29679a1076d9e1b0770679ff321409732aaa056075c68ac843"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:3P632MVDTYEFDMGUCOAIN74LBY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local error estimates for adaptive simulation of the Reaction-Diffusion Master Equation via operator splitting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"cs.NA","authors_text":"Andreas Hellander, Brian Drawert, Linda Petzold, Michael Lawson","submitted_at":"2013-05-15T21:18:04Z","abstract_excerpt":"The efficiency of exact simulation methods for the reaction-diffusion master equation (RDME) is severely limited by the large number of diffusion events if the mesh is fine or if diffusion constants are large. Furthermore, inherent properties of exact kinetic-Monte Carlo simulation methods limit the efficiency of parallel implementations. Several approximate and hybrid methods have appeared that enable more efficient simulation of the RDME. A common feature to most of them is that they rely on splitting the system into its reaction and diffusion parts and updating them sequentially over a disc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3639","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:49:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8b85WVWfwk3o48PAKbmq63940T1r4cat7sojaa0W0QIWQ/vDelRHh8k1jNvQ7ZlU9TvFKDx8D4A3SY2XGCo/CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T11:58:47.483545Z"},"content_sha256":"cb67a065af9a9eda1cfd091f88ac2caa0c51fd90891e2a54521ceb97b359fd96","schema_version":"1.0","event_id":"sha256:cb67a065af9a9eda1cfd091f88ac2caa0c51fd90891e2a54521ceb97b359fd96"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3P632MVDTYEFDMGUCOAIN74LBY/bundle.json","state_url":"https://pith.science/pith/3P632MVDTYEFDMGUCOAIN74LBY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3P632MVDTYEFDMGUCOAIN74LBY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-19T11:58:47Z","links":{"resolver":"https://pith.science/pith/3P632MVDTYEFDMGUCOAIN74LBY","bundle":"https://pith.science/pith/3P632MVDTYEFDMGUCOAIN74LBY/bundle.json","state":"https://pith.science/pith/3P632MVDTYEFDMGUCOAIN74LBY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3P632MVDTYEFDMGUCOAIN74LBY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3P632MVDTYEFDMGUCOAIN74LBY","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5f1d739b5cddf7ec217d4d21b58664af690fcc6a7b997d1462a30266be915b9f","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2013-05-15T21:18:04Z","title_canon_sha256":"7644a933f3a34ed15b481b714d0a294e72a0184c6f059c8c08d413e8d035ddf0"},"schema_version":"1.0","source":{"id":"1305.3639","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3639","created_at":"2026-05-18T01:49:56Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3639v1","created_at":"2026-05-18T01:49:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3639","created_at":"2026-05-18T01:49:56Z"},{"alias_kind":"pith_short_12","alias_value":"3P632MVDTYEF","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3P632MVDTYEFDMGU","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3P632MVD","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:cb67a065af9a9eda1cfd091f88ac2caa0c51fd90891e2a54521ceb97b359fd96","target":"graph","created_at":"2026-05-18T01:49:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The efficiency of exact simulation methods for the reaction-diffusion master equation (RDME) is severely limited by the large number of diffusion events if the mesh is fine or if diffusion constants are large. Furthermore, inherent properties of exact kinetic-Monte Carlo simulation methods limit the efficiency of parallel implementations. Several approximate and hybrid methods have appeared that enable more efficient simulation of the RDME. A common feature to most of them is that they rely on splitting the system into its reaction and diffusion parts and updating them sequentially over a disc","authors_text":"Andreas Hellander, Brian Drawert, Linda Petzold, Michael Lawson","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2013-05-15T21:18:04Z","title":"Local error estimates for adaptive simulation of the Reaction-Diffusion Master Equation via operator splitting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3639","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0aa79bc827f69f29679a1076d9e1b0770679ff321409732aaa056075c68ac843","target":"record","created_at":"2026-05-18T01:49:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5f1d739b5cddf7ec217d4d21b58664af690fcc6a7b997d1462a30266be915b9f","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2013-05-15T21:18:04Z","title_canon_sha256":"7644a933f3a34ed15b481b714d0a294e72a0184c6f059c8c08d413e8d035ddf0"},"schema_version":"1.0","source":{"id":"1305.3639","kind":"arxiv","version":1}},"canonical_sha256":"dbfdbd32a39e0851b0d4138086ff8b0e1e2e972429d9352c78f7ae207a8c794f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbfdbd32a39e0851b0d4138086ff8b0e1e2e972429d9352c78f7ae207a8c794f","first_computed_at":"2026-05-18T01:49:56.691445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:56.691445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r28bxjisLUlV7EDM2jj7VJX+7nWvCrofV7wziMAkDOYTeZ6dIP0iFDL+HP2sGSLvQ2X0zOpcgGCOX/4ymyvjDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:56.691914Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.3639","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0aa79bc827f69f29679a1076d9e1b0770679ff321409732aaa056075c68ac843","sha256:cb67a065af9a9eda1cfd091f88ac2caa0c51fd90891e2a54521ceb97b359fd96"],"state_sha256":"f5e9bfd3633ebfc3c3cb64bb837e5754219904f3679490ee3c4a80d3b88275b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U8pQ3acJzLZbl4KviWmtbY0Slzjwo+OXFXpX2bXgXKlNpB+1seVCA5Ub+L3ieCko/eIFZsXf2W+cjsn5VYwJDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T11:58:47.485260Z","bundle_sha256":"3dbcb49cafdb2b5cdb75e4ad5d3ef0dc894d5717ea530a380db7b6f44d020dca"}}