{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:4F25S6QAL2X2DAXLD6JMYUUGBH","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":"3fe8c11aba0d3e8be23c1a0fa0e0239419795239aa8fc0ff65e35b151c9963fc","cross_cats_sorted":["cs.CE","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-01-14T01:56:50Z","title_canon_sha256":"b76361f7d1cd3e42bb6f1f8bfafc38f2cba180f0a8bf17c12870c4ac8c1d77cb"},"schema_version":"1.0","source":{"id":"2101.05417","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.05417","created_at":"2026-07-05T04:03:24Z"},{"alias_kind":"arxiv_version","alias_value":"2101.05417v2","created_at":"2026-07-05T04:03:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.05417","created_at":"2026-07-05T04:03:24Z"},{"alias_kind":"pith_short_12","alias_value":"4F25S6QAL2X2","created_at":"2026-07-05T04:03:24Z"},{"alias_kind":"pith_short_16","alias_value":"4F25S6QAL2X2DAXL","created_at":"2026-07-05T04:03:24Z"},{"alias_kind":"pith_short_8","alias_value":"4F25S6QA","created_at":"2026-07-05T04:03:24Z"}],"graph_snapshots":[{"event_id":"sha256:5205e70ec8744616280464748a4f76843741958cf7d1d97fb68f13fb2093ac34","target":"graph","created_at":"2026-07-05T04:03:24Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2101.05417/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose high-order FDTD schemes based on the Correction Function Method (CFM) for Maxwell's interface problems with discontinuous coefficients and complex interfaces. The key idea of the CFM is to model the correction function near an interface to retain the order of a finite difference approximation. For this, we solve a system of PDEs based on the original problem by minimizing an energy functional. The CFM is applied to the standard Yee scheme and a fourth-order FDTD scheme. The proposed CFM-FDTD schemes are verified in 2-D using the transverse magnetic mode (TM$_z$). Numerical examples ","authors_text":"Jean-Christophe Nave, Yann-Meing Law","cross_cats":["cs.CE","cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-01-14T01:56:50Z","title":"High-order FDTD schemes for Maxwell's interface problems with discontinuous coefficients and complex interfaces based on the Correction Function Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.05417","kind":"arxiv","version":2},"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:a24ac85fe1c85a02e932078bb2eca8e5266358a43048489f1bd0b98f0bccc178","target":"record","created_at":"2026-07-05T04:03:24Z","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":"3fe8c11aba0d3e8be23c1a0fa0e0239419795239aa8fc0ff65e35b151c9963fc","cross_cats_sorted":["cs.CE","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-01-14T01:56:50Z","title_canon_sha256":"b76361f7d1cd3e42bb6f1f8bfafc38f2cba180f0a8bf17c12870c4ac8c1d77cb"},"schema_version":"1.0","source":{"id":"2101.05417","kind":"arxiv","version":2}},"canonical_sha256":"e175d97a005eafa182eb1f92cc528609c4193fccd864e15f66967bd2f2d29670","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e175d97a005eafa182eb1f92cc528609c4193fccd864e15f66967bd2f2d29670","first_computed_at":"2026-07-05T04:03:24.561864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:03:24.561864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SlmibRwf6E5vzkKsF1syWSmuwEd8b9dku2H1xXWjF0ATwreRiyb3mOgivYdFJj7k4bj2Gy5czYhG2HKJJuT6CA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:03:24.563711Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.05417","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a24ac85fe1c85a02e932078bb2eca8e5266358a43048489f1bd0b98f0bccc178","sha256:5205e70ec8744616280464748a4f76843741958cf7d1d97fb68f13fb2093ac34"],"state_sha256":"122c333e8a9eea2a3bbeb502ba60744ee26d0de3e8411793a86774264f6faf39"}