{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MMSHKBHONSCDIWVW5MTX7MEJRW","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":"50dfb1fe2dd396d4536a92b0483383e341ecc039c692025a5fc2d4bbe8e33712","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-08T18:14:09Z","title_canon_sha256":"b53a8f48e95796a1a85b8a088d745182db3d148679db0aa0cb590271da7221a4"},"schema_version":"1.0","source":{"id":"1702.02880","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02880","created_at":"2026-05-17T23:44:48Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02880v1","created_at":"2026-05-17T23:44:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02880","created_at":"2026-05-17T23:44:48Z"},{"alias_kind":"pith_short_12","alias_value":"MMSHKBHONSCD","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MMSHKBHONSCDIWVW","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MMSHKBHO","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:f93a706203fbd4b178322570dd620894e6e963ee036e5aa4fb35cc418d2a059a","target":"graph","created_at":"2026-05-17T23:44:48Z","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":"In this paper we describe a high-resolution transport formulation of the regional level-set approach for an improved prediction of the evolution of complex interface networks. The novelty of this method is twofold: (i) construction of local level sets and reconstruction of a global regional level sets, (ii) locally transporting the interface network by employing high-order spatial discretization schemes for improved representation of complex topologies. Various numerical test cases of multi-region flow problems, including triple-point advection, single vortex flow, mean curvature flow, normal ","authors_text":"Nikolaus A. Adams, Shucheng Pan, Xiangyu Hu","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-08T18:14:09Z","title":"High-resolution transport of regional level sets for evolving complex interface networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02880","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":"sha256:2532b0d49d574138fa3e7bbf46430dd15892af0d5e77a7855722140f18ce386e","target":"record","created_at":"2026-05-17T23:44:48Z","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":"50dfb1fe2dd396d4536a92b0483383e341ecc039c692025a5fc2d4bbe8e33712","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-08T18:14:09Z","title_canon_sha256":"b53a8f48e95796a1a85b8a088d745182db3d148679db0aa0cb590271da7221a4"},"schema_version":"1.0","source":{"id":"1702.02880","kind":"arxiv","version":1}},"canonical_sha256":"63247504ee6c84345ab6eb277fb0898d8bdf280d43edc745c6be35d47c76bb8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63247504ee6c84345ab6eb277fb0898d8bdf280d43edc745c6be35d47c76bb8b","first_computed_at":"2026-05-17T23:44:48.588773Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:48.588773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"83x9DlxMDajcQaa9IiwwjsadSR2gLW9eIVDXl8e43Ymn05Fcv8lcQfqrWNZYbl5dSMJrib8hMncalaalV6D9CA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:48.589450Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.02880","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2532b0d49d574138fa3e7bbf46430dd15892af0d5e77a7855722140f18ce386e","sha256:f93a706203fbd4b178322570dd620894e6e963ee036e5aa4fb35cc418d2a059a"],"state_sha256":"4ea0955bc1a02d6e92051c43138d117eb51e2373f31b774e692354727cba9ce6"}