{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:V4YZHJ6MX7KT4C3VD6A7MOAF3Q","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":"a470b1b54c1e3be1d984cc9826d8018f8b5e5c8c02f25414c68011dda99aec1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-07-01T13:10:28Z","title_canon_sha256":"38d837af4e0418ef32ca829410fd66466bf5bbd4446d37a6aae583f7bdf20759"},"schema_version":"1.0","source":{"id":"1507.00217","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.00217","created_at":"2026-05-18T01:37:29Z"},{"alias_kind":"arxiv_version","alias_value":"1507.00217v1","created_at":"2026-05-18T01:37:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.00217","created_at":"2026-05-18T01:37:29Z"},{"alias_kind":"pith_short_12","alias_value":"V4YZHJ6MX7KT","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V4YZHJ6MX7KT4C3V","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V4YZHJ6M","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:0d2b4fc07f3499b757878aeba973e6acc32dfb27e079662b838759ee096580b6","target":"graph","created_at":"2026-05-18T01:37:29Z","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 set up a rigorous justification for the reinitialization algorithm. Using the theory of viscosity solutions, we propose a well-posed Hamilton-Jacobi equation with a parameter, which is derived from homogenization for a Hamiltonian discontinuous in time which appears in the reinitialization. We prove that, as the parameter tends to infinity, the solution of the initial value problem converges to a signed distance function to the evolving interfaces. A locally uniform convergence is shown when the distance function is continuous, whereas a weaker notion of convergence is introdu","authors_text":"Eleftherios Ntovoris, Nao Hamamuki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-07-01T13:10:28Z","title":"A rigorous setting for the reinitialization of first order level set equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.00217","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":"sha256:088c34f61c76fd4253de427319516cc35c6642e4fc7c25a8eee1e8903446d828","target":"record","created_at":"2026-05-18T01:37:29Z","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":"a470b1b54c1e3be1d984cc9826d8018f8b5e5c8c02f25414c68011dda99aec1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-07-01T13:10:28Z","title_canon_sha256":"38d837af4e0418ef32ca829410fd66466bf5bbd4446d37a6aae583f7bdf20759"},"schema_version":"1.0","source":{"id":"1507.00217","kind":"arxiv","version":1}},"canonical_sha256":"af3193a7ccbfd53e0b751f81f63805dc3af30b49a09b9f8d8b91c647baaaa3b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af3193a7ccbfd53e0b751f81f63805dc3af30b49a09b9f8d8b91c647baaaa3b7","first_computed_at":"2026-05-18T01:37:29.523804Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:29.523804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qoI01kMj9YicJWPy0knOA5Q44BW4Akdt55Kd4f/YgygxUcryj/WmPzGxdCn3a71uSV/fHC7rEixW3vLc2EGJAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:29.524569Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.00217","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:088c34f61c76fd4253de427319516cc35c6642e4fc7c25a8eee1e8903446d828","sha256:0d2b4fc07f3499b757878aeba973e6acc32dfb27e079662b838759ee096580b6"],"state_sha256":"da397991b24a8565800ed6a59b03a9ed2cfa051dbf057521d4ee7bd8d59ee5b7"}