{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KDK47K3DK3YKWTNKXRRNPREDSW","short_pith_number":"pith:KDK47K3D","canonical_record":{"source":{"id":"1712.03891","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2017-12-11T17:08:06Z","cross_cats_sorted":[],"title_canon_sha256":"951ce1555a9f648c0b7ae000f684453361f324827e379097d5985e190ae7150a","abstract_canon_sha256":"a771c6fd35232c7e3311807b9b17444ff94f9688c88256f56a8d1637f86a91b6"},"schema_version":"1.0"},"canonical_sha256":"50d5cfab6356f0ab4daabc62d7c48395bf7680af2b588f2ee44acccf5a628353","source":{"kind":"arxiv","id":"1712.03891","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.03891","created_at":"2026-05-18T00:23:58Z"},{"alias_kind":"arxiv_version","alias_value":"1712.03891v2","created_at":"2026-05-18T00:23:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03891","created_at":"2026-05-18T00:23:58Z"},{"alias_kind":"pith_short_12","alias_value":"KDK47K3DK3YK","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KDK47K3DK3YKWTNK","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KDK47K3D","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KDK47K3DK3YKWTNKXRRNPREDSW","target":"record","payload":{"canonical_record":{"source":{"id":"1712.03891","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2017-12-11T17:08:06Z","cross_cats_sorted":[],"title_canon_sha256":"951ce1555a9f648c0b7ae000f684453361f324827e379097d5985e190ae7150a","abstract_canon_sha256":"a771c6fd35232c7e3311807b9b17444ff94f9688c88256f56a8d1637f86a91b6"},"schema_version":"1.0"},"canonical_sha256":"50d5cfab6356f0ab4daabc62d7c48395bf7680af2b588f2ee44acccf5a628353","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:58.702466Z","signature_b64":"S/44lkcJuo6/MHDy99sB9gIHWx0wt5UOhgmHnLohnXwXZW8Z+HRJyEnYQjiafi9HG5skUPV6qzmMDxu0wrOCDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50d5cfab6356f0ab4daabc62d7c48395bf7680af2b588f2ee44acccf5a628353","last_reissued_at":"2026-05-18T00:23:58.701970Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:58.701970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.03891","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:23:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6avJM/SwSolM1bWeZvuYrJ4hZhJuzzqlT7ZoVc5nEcaOV0kEhEXtG2thrEThpVvBXHlckErwESMNNOIDI+NqDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:51:27.175332Z"},"content_sha256":"a8a572fe8b48bdf87cde3eab464f27b7d44dde6668b33d3a0ccd1678ec476df5","schema_version":"1.0","event_id":"sha256:a8a572fe8b48bdf87cde3eab464f27b7d44dde6668b33d3a0ccd1678ec476df5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KDK47K3DK3YKWTNKXRRNPREDSW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spatially-extended hybrid methods: a review","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.QM","authors_text":"Cameron A. Smith, Christian A. Yates","submitted_at":"2017-12-11T17:08:06Z","abstract_excerpt":"Many biological and physical systems exhibit behaviour at multiple spatial, temporal or population scales. Multiscale processes provide challenges when they are to be simulated using numerical techniques. While coarser methods such as partial differential equations are typically fast to simulate, they lack the individual-level detail that may be required in regions of low concentration or small spatial scale. However, to simulate at such an individual-level throughout a domain and in regions where concentrations are high can be computationally expensive. Spatially-coupled hybrid methods provid"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03891","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:23:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZqiDPq6qi0YjDyUWTIAu1rab4tWJs6+s9GMchSMYViwW40lCzAs+9VSIaaGmpgsQ5sY6XoSGULhUSF6YyHoHBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:51:27.175867Z"},"content_sha256":"d4cfa7ff506a1b1cfbcfa4a89912cb9ef00b3358758277b4d36e51ec7f96a314","schema_version":"1.0","event_id":"sha256:d4cfa7ff506a1b1cfbcfa4a89912cb9ef00b3358758277b4d36e51ec7f96a314"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KDK47K3DK3YKWTNKXRRNPREDSW/bundle.json","state_url":"https://pith.science/pith/KDK47K3DK3YKWTNKXRRNPREDSW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KDK47K3DK3YKWTNKXRRNPREDSW/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":"2026-05-31T17:51:27Z","links":{"resolver":"https://pith.science/pith/KDK47K3DK3YKWTNKXRRNPREDSW","bundle":"https://pith.science/pith/KDK47K3DK3YKWTNKXRRNPREDSW/bundle.json","state":"https://pith.science/pith/KDK47K3DK3YKWTNKXRRNPREDSW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KDK47K3DK3YKWTNKXRRNPREDSW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KDK47K3DK3YKWTNKXRRNPREDSW","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":"a771c6fd35232c7e3311807b9b17444ff94f9688c88256f56a8d1637f86a91b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2017-12-11T17:08:06Z","title_canon_sha256":"951ce1555a9f648c0b7ae000f684453361f324827e379097d5985e190ae7150a"},"schema_version":"1.0","source":{"id":"1712.03891","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.03891","created_at":"2026-05-18T00:23:58Z"},{"alias_kind":"arxiv_version","alias_value":"1712.03891v2","created_at":"2026-05-18T00:23:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03891","created_at":"2026-05-18T00:23:58Z"},{"alias_kind":"pith_short_12","alias_value":"KDK47K3DK3YK","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KDK47K3DK3YKWTNK","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KDK47K3D","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:d4cfa7ff506a1b1cfbcfa4a89912cb9ef00b3358758277b4d36e51ec7f96a314","target":"graph","created_at":"2026-05-18T00:23:58Z","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":"Many biological and physical systems exhibit behaviour at multiple spatial, temporal or population scales. Multiscale processes provide challenges when they are to be simulated using numerical techniques. While coarser methods such as partial differential equations are typically fast to simulate, they lack the individual-level detail that may be required in regions of low concentration or small spatial scale. However, to simulate at such an individual-level throughout a domain and in regions where concentrations are high can be computationally expensive. Spatially-coupled hybrid methods provid","authors_text":"Cameron A. Smith, Christian A. Yates","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2017-12-11T17:08:06Z","title":"Spatially-extended hybrid methods: a review"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03891","kind":"arxiv","version":2},"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:a8a572fe8b48bdf87cde3eab464f27b7d44dde6668b33d3a0ccd1678ec476df5","target":"record","created_at":"2026-05-18T00:23:58Z","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":"a771c6fd35232c7e3311807b9b17444ff94f9688c88256f56a8d1637f86a91b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2017-12-11T17:08:06Z","title_canon_sha256":"951ce1555a9f648c0b7ae000f684453361f324827e379097d5985e190ae7150a"},"schema_version":"1.0","source":{"id":"1712.03891","kind":"arxiv","version":2}},"canonical_sha256":"50d5cfab6356f0ab4daabc62d7c48395bf7680af2b588f2ee44acccf5a628353","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50d5cfab6356f0ab4daabc62d7c48395bf7680af2b588f2ee44acccf5a628353","first_computed_at":"2026-05-18T00:23:58.701970Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:58.701970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S/44lkcJuo6/MHDy99sB9gIHWx0wt5UOhgmHnLohnXwXZW8Z+HRJyEnYQjiafi9HG5skUPV6qzmMDxu0wrOCDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:58.702466Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.03891","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8a572fe8b48bdf87cde3eab464f27b7d44dde6668b33d3a0ccd1678ec476df5","sha256:d4cfa7ff506a1b1cfbcfa4a89912cb9ef00b3358758277b4d36e51ec7f96a314"],"state_sha256":"4723908b17859c08d222ec648e499370a4685f28d235b2d0fdfeaafd5437ef94"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hSDqpiwotlhan9uT3JiL1nqsviGj7Gd0ENwhlOTiRhvU6PVbAnlpdxSZ0XTbyfUTOcWeBJQ/QafG/YT8LsNjDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T17:51:27.178709Z","bundle_sha256":"8e2de94170260f9eb53ea004e70da7a0c77488162d48c932460846245fb2b924"}}