{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MHS5VXNMWRASVMF5U3K2RSPQKX","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":"7cb577079c4af713477fa8985f43b77a28dd56ca6cc8c3172bbd244b446b9999","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-02T23:08:25Z","title_canon_sha256":"c7f7ab7de27485ce127fb059cae6435d7400c8996a84d91bc1976b9ebb499be5"},"schema_version":"1.0","source":{"id":"1403.0277","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.0277","created_at":"2026-05-18T02:57:25Z"},{"alias_kind":"arxiv_version","alias_value":"1403.0277v1","created_at":"2026-05-18T02:57:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0277","created_at":"2026-05-18T02:57:25Z"},{"alias_kind":"pith_short_12","alias_value":"MHS5VXNMWRAS","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MHS5VXNMWRASVMF5","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MHS5VXNM","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:43276bf2223cb017aed2ae4219aca4446696113d1dd1218b820394679e167852","target":"graph","created_at":"2026-05-18T02:57:25Z","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 paper studies a finite element method for computing transport and diffusion along evolving surfaces. The method does not require a parametrization of a surface or an extension of a PDE from a surface into a bulk outer domain. The surface and its evolution may be given implicitly, e.g., as the solution of a level set equation. This approach naturally allows a surface to undergo topological changes and experience local geometric singularities. The numerical method uses space-time finite elements and is provably second order accurate. The paper reviews the method, error estimates and shows re","authors_text":"Arnold Reusken, Joerg Grande, Maxim Olshanskii","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-02T23:08:25Z","title":"A space-time FEM for PDEs on evolving surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0277","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:b5d9b9989ade935efdd0c5c0a79146a433d5588b01680171fafe2325976d87b5","target":"record","created_at":"2026-05-18T02:57:25Z","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":"7cb577079c4af713477fa8985f43b77a28dd56ca6cc8c3172bbd244b446b9999","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-02T23:08:25Z","title_canon_sha256":"c7f7ab7de27485ce127fb059cae6435d7400c8996a84d91bc1976b9ebb499be5"},"schema_version":"1.0","source":{"id":"1403.0277","kind":"arxiv","version":1}},"canonical_sha256":"61e5daddacb4412ab0bda6d5a8c9f055c3436aaf1f2932baf34302b2a86f2d6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61e5daddacb4412ab0bda6d5a8c9f055c3436aaf1f2932baf34302b2a86f2d6a","first_computed_at":"2026-05-18T02:57:25.284301Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:25.284301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ATThvCZzWN/TnsWCPD/nDjq1wgPh6rgYDUpodeiOt54TNnwxxRmGrw+FBn8IOPlurVZGMNAHQBa/2dpQiHirAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:25.285022Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.0277","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5d9b9989ade935efdd0c5c0a79146a433d5588b01680171fafe2325976d87b5","sha256:43276bf2223cb017aed2ae4219aca4446696113d1dd1218b820394679e167852"],"state_sha256":"e257434dc484f8a53b1ce63cc7e62215eec3962db7282788a0833db8ce80b884"}