{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NSFXHZEIP2IFQ3OZBXNIF2OQII","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":"402c5f11426c15414a985374972affc69f61f25cb1ce07ec23bd2e401a860f0d","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-04-01T18:50:53Z","title_canon_sha256":"f4a56b6dea30e83d55c2fde73eb4ab04a0980237fecdffe43c89acf1b2e0ceaa"},"schema_version":"1.0","source":{"id":"1604.00355","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.00355","created_at":"2026-05-18T01:17:53Z"},{"alias_kind":"arxiv_version","alias_value":"1604.00355v1","created_at":"2026-05-18T01:17:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00355","created_at":"2026-05-18T01:17:53Z"},{"alias_kind":"pith_short_12","alias_value":"NSFXHZEIP2IF","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"NSFXHZEIP2IFQ3OZ","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"NSFXHZEI","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:30dbad6d0be1e7aa0ec64313a34d1e8bae474208ef81fc3c7668b0e3bf0234eb","target":"graph","created_at":"2026-05-18T01:17:53Z","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":"We consider high order, implicit Runge-Kutta schemes to solve time-dependent stiff PDEs on dynamically adapted grids generated by multiresolution analysis for unsteady problems disclosing localized fronts. The multiresolution finite volume scheme yields highly compressed representations within a user-defined accuracy tolerance, hence strong reductions of computational requirements to solve large, coupled nonlinear systems of equations. SDIRK and RadauIIA Runge-Kutta schemes are implemented with particular interest in those with L-stability properties and accuracy-based time-stepping capabiliti","authors_text":"Max Duarte, Mitchell Smooke, Richard Dobbins","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-04-01T18:50:53Z","title":"High order implicit time integration schemes on multiresolution adaptive grids for stiff PDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00355","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":"sha256:50103a72e0afc8fb54e9905e347eb6da73eb0465507441d00623a340d23527cd","target":"record","created_at":"2026-05-18T01:17:53Z","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":"402c5f11426c15414a985374972affc69f61f25cb1ce07ec23bd2e401a860f0d","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-04-01T18:50:53Z","title_canon_sha256":"f4a56b6dea30e83d55c2fde73eb4ab04a0980237fecdffe43c89acf1b2e0ceaa"},"schema_version":"1.0","source":{"id":"1604.00355","kind":"arxiv","version":1}},"canonical_sha256":"6c8b73e4887e90586dd90dda82e9d0421e3ac46facd6eadd003f403315c5ce06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c8b73e4887e90586dd90dda82e9d0421e3ac46facd6eadd003f403315c5ce06","first_computed_at":"2026-05-18T01:17:53.881668Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:53.881668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BYbrloquZkGhMqjdrkXCSLh3REaz/msZqge/io9V5jWyLGZeDJg53mURv/vYkcqKY5q7uXobBPO/LR+yMBeWDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:53.882278Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.00355","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50103a72e0afc8fb54e9905e347eb6da73eb0465507441d00623a340d23527cd","sha256:30dbad6d0be1e7aa0ec64313a34d1e8bae474208ef81fc3c7668b0e3bf0234eb"],"state_sha256":"1dbad0aa77638d2d08da6afc807648a0c3eb525cea4a06c4e4fcd3c8580c836d"}