{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RU23PX3IK5NB7GBNIP3IY3K527","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":"095bc65bf4144ba8876b5524f0c9101b89be0da8c95d2a1ed1c031f6ebbc52c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-17T11:32:53Z","title_canon_sha256":"452d56d5a9672ac4d8ff074a0340806bc1cef25c1b1d773e11b337e042292f04"},"schema_version":"1.0","source":{"id":"1610.05051","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05051","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05051v1","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05051","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"pith_short_12","alias_value":"RU23PX3IK5NB","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RU23PX3IK5NB7GBN","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RU23PX3I","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:9edba6054a7f4ee5636aa1b4119924756e80fbdd0323e31ecdd3d0361c0513bc","target":"graph","created_at":"2026-05-18T00:43:59Z","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":"A new class of asynchronous discrete-event simulation schemes for advection-diffusion-reaction equations are introduced, which is based on the principle of allowing quanta of mass to pass through faces of a Cartesian finite volume grid. The timescales of these events are linked to the flux on the the face, and the schemes are self-adaptive, local in time and space. Experiments are performed on realistic physical systems related to porous media flow applications, including a large 3D advection diffusion equation and advection diffusion reaction systems. The results are compared to highly accura","authors_text":"Daniel Stone, Gabriel Lord, Sebastian Geiger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-17T11:32:53Z","title":"Asynchronous Discrete Event Schemes for PDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05051","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":"sha256:86152fe433cab23d3e5eba34d1bf953bd485a2acd42ad22b7a8c0bc41011ee08","target":"record","created_at":"2026-05-18T00:43:59Z","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":"095bc65bf4144ba8876b5524f0c9101b89be0da8c95d2a1ed1c031f6ebbc52c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-17T11:32:53Z","title_canon_sha256":"452d56d5a9672ac4d8ff074a0340806bc1cef25c1b1d773e11b337e042292f04"},"schema_version":"1.0","source":{"id":"1610.05051","kind":"arxiv","version":1}},"canonical_sha256":"8d35b7df68575a1f982d43f68c6d5dd7ca27adc146a174464629ee1fb3ff0fe3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d35b7df68575a1f982d43f68c6d5dd7ca27adc146a174464629ee1fb3ff0fe3","first_computed_at":"2026-05-18T00:43:59.733259Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:59.733259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v6zJqJFmRT+YGYPtgVrJS/abWgiGrlWH0Es9UZ//jzCcpF1AutkBO7AxmKWtWAEjO8JR7LTgfVy3V96op0aXAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:59.733869Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.05051","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86152fe433cab23d3e5eba34d1bf953bd485a2acd42ad22b7a8c0bc41011ee08","sha256:9edba6054a7f4ee5636aa1b4119924756e80fbdd0323e31ecdd3d0361c0513bc"],"state_sha256":"2ae3a58b132fbc4177fc4218c4bd6278b696726692d80135339cf8e02552d834"}