{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:DJ7IMDSRCQDGD6224S7MURV3W7","short_pith_number":"pith:DJ7IMDSR","schema_version":"1.0","canonical_sha256":"1a7e860e51140661fb5ae4beca46bbb7d71221bf7d773445105bd5efb2c0f019","source":{"kind":"arxiv","id":"1208.1430","version":3},"attestation_state":"computed","paper":{"title":"Efficient Fast Marching with Finsler metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Jean-Marie Mirebeau","submitted_at":"2012-08-07T14:19:29Z","abstract_excerpt":"We study the discretization of the Escape Time problem: find the length of the shortest path joining an arbitrary point of a domain, to the domain's boundary. Path length is measured locally via a Finsler metric, potentially asymmetric and strongly anisotropic. This Optimal Control problem can be reformulated as a static Hamilton Jacobi, or Anisotropic Eikonal, Partial Differential Equation, as well as a front propagation model. It has numerous applications, ranging from motion planning to image segmentation.\n  We introduce a new algorithm, Fast Marching using Anisotropic Stencil Refinement (F"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1208.1430","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-08-07T14:19:29Z","cross_cats_sorted":[],"title_canon_sha256":"9a41c7ccb25b5af5758c7467cb14c4eb241cf705df01e6205114a44dd5d1ff30","abstract_canon_sha256":"d9a9760eba908f6118e66e643834ab49bd8887da4b7e93bc66c5b64b60c48c3d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:01.457461Z","signature_b64":"HUg6XlapyWn7rwtFcFiKF3jKfk0Bsffd5SMDLpu9bbbCXsdiXVj7GBjyrx+L37glVm6MxpA0xmZzQA908dupAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a7e860e51140661fb5ae4beca46bbb7d71221bf7d773445105bd5efb2c0f019","last_reissued_at":"2026-05-18T02:21:01.456950Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:01.456950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient Fast Marching with Finsler metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Jean-Marie Mirebeau","submitted_at":"2012-08-07T14:19:29Z","abstract_excerpt":"We study the discretization of the Escape Time problem: find the length of the shortest path joining an arbitrary point of a domain, to the domain's boundary. Path length is measured locally via a Finsler metric, potentially asymmetric and strongly anisotropic. This Optimal Control problem can be reformulated as a static Hamilton Jacobi, or Anisotropic Eikonal, Partial Differential Equation, as well as a front propagation model. It has numerous applications, ranging from motion planning to image segmentation.\n  We introduce a new algorithm, Fast Marching using Anisotropic Stencil Refinement (F"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1430","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1208.1430","created_at":"2026-05-18T02:21:01.457013+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.1430v3","created_at":"2026-05-18T02:21:01.457013+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1430","created_at":"2026-05-18T02:21:01.457013+00:00"},{"alias_kind":"pith_short_12","alias_value":"DJ7IMDSRCQDG","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"DJ7IMDSRCQDGD622","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"DJ7IMDSR","created_at":"2026-05-18T12:27:04.183437+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DJ7IMDSRCQDGD6224S7MURV3W7","json":"https://pith.science/pith/DJ7IMDSRCQDGD6224S7MURV3W7.json","graph_json":"https://pith.science/api/pith-number/DJ7IMDSRCQDGD6224S7MURV3W7/graph.json","events_json":"https://pith.science/api/pith-number/DJ7IMDSRCQDGD6224S7MURV3W7/events.json","paper":"https://pith.science/paper/DJ7IMDSR"},"agent_actions":{"view_html":"https://pith.science/pith/DJ7IMDSRCQDGD6224S7MURV3W7","download_json":"https://pith.science/pith/DJ7IMDSRCQDGD6224S7MURV3W7.json","view_paper":"https://pith.science/paper/DJ7IMDSR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.1430&json=true","fetch_graph":"https://pith.science/api/pith-number/DJ7IMDSRCQDGD6224S7MURV3W7/graph.json","fetch_events":"https://pith.science/api/pith-number/DJ7IMDSRCQDGD6224S7MURV3W7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DJ7IMDSRCQDGD6224S7MURV3W7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DJ7IMDSRCQDGD6224S7MURV3W7/action/storage_attestation","attest_author":"https://pith.science/pith/DJ7IMDSRCQDGD6224S7MURV3W7/action/author_attestation","sign_citation":"https://pith.science/pith/DJ7IMDSRCQDGD6224S7MURV3W7/action/citation_signature","submit_replication":"https://pith.science/pith/DJ7IMDSRCQDGD6224S7MURV3W7/action/replication_record"}},"created_at":"2026-05-18T02:21:01.457013+00:00","updated_at":"2026-05-18T02:21:01.457013+00:00"}