{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:GIEB5OCSH2LAH57VY7HS2PR3U6","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":"cddb11dfea8d381cf4f081140660ceb3d12ccb533723f993f79de3e7189fc327","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2019-07-08T11:28:02Z","title_canon_sha256":"b69b9930a18c8c285802a06873858b089173c8786ea19d967af0162ac8ce2e33"},"schema_version":"1.0","source":{"id":"1907.03754","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.03754","created_at":"2026-05-17T23:41:06Z"},{"alias_kind":"arxiv_version","alias_value":"1907.03754v1","created_at":"2026-05-17T23:41:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.03754","created_at":"2026-05-17T23:41:06Z"},{"alias_kind":"pith_short_12","alias_value":"GIEB5OCSH2LA","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"GIEB5OCSH2LAH57V","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"GIEB5OCS","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:15405d37ae323d552126297004e3af2334ecc79e93b6e0f8a57a16ab7c5fdc91","target":"graph","created_at":"2026-05-17T23:41:06Z","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 spectral numerical mode-matching (SNMM) method is developed to simulate the 3D layered multi-region structures. The SNMM method is a semi-analytical solver having the properties of dimensionality reduction to reduce computational costs; it is especially useful for microwave and optical integrated circuits where fabrication is often done in a layered structure. Furthermore, at some layer interfaces, very thin surfaces such as good conductor surfaces and metasurfaces can be deposited to achieve desired properties such as high absorbance and/or anomalous reflection/refraction. In this work, t","authors_text":"Jie Liu, Na Liu, Qing Huo Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2019-07-08T11:28:02Z","title":"Spectral Numerical Mode Matching Method for 3D Layered Multi-Region Structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.03754","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":"sha256:7a2940c4e0e50eff0eaf2a0b0e32912c79b7d09d9aa996c9224029eec47142b8","target":"record","created_at":"2026-05-17T23:41:06Z","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":"cddb11dfea8d381cf4f081140660ceb3d12ccb533723f993f79de3e7189fc327","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2019-07-08T11:28:02Z","title_canon_sha256":"b69b9930a18c8c285802a06873858b089173c8786ea19d967af0162ac8ce2e33"},"schema_version":"1.0","source":{"id":"1907.03754","kind":"arxiv","version":1}},"canonical_sha256":"32081eb8523e9603f7f5c7cf2d3e3ba7af6b584053e9579278504bf3c2f87a29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32081eb8523e9603f7f5c7cf2d3e3ba7af6b584053e9579278504bf3c2f87a29","first_computed_at":"2026-05-17T23:41:06.884016Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:06.884016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cd0LY2aJ/flZdePSK00BB1iLRivtXoJCxtKecyKMBLC2FvgXHgrgiD4MYFYxV0F5yPyB7P7AH1Zw4I9nmKYgAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:06.884739Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.03754","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a2940c4e0e50eff0eaf2a0b0e32912c79b7d09d9aa996c9224029eec47142b8","sha256:15405d37ae323d552126297004e3af2334ecc79e93b6e0f8a57a16ab7c5fdc91"],"state_sha256":"ef542b446149bf04a0d86928344144f11bf8cb980de273a70151dff15955788e"}