{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:IQFTV25O2BZWEHBDJRAJUV6CEB","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":"f6e7d8fc8f46f5e34e3fb6c9aa110909bd6178f98f9dda20c23bda4711c40dec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-05-23T18:36:13Z","title_canon_sha256":"5c276b9be99a737506324b6c78141cd8325833c8ed5a3532164a631bdd718790"},"schema_version":"1.0","source":{"id":"1005.4219","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.4219","created_at":"2026-05-18T04:33:17Z"},{"alias_kind":"arxiv_version","alias_value":"1005.4219v4","created_at":"2026-05-18T04:33:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.4219","created_at":"2026-05-18T04:33:17Z"},{"alias_kind":"pith_short_12","alias_value":"IQFTV25O2BZW","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IQFTV25O2BZWEHBD","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IQFTV25O","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:adb9cf405603d4523b43ca7dfa16a82f57566c94409a30a0af6edb664803d3b7","target":"graph","created_at":"2026-05-18T04:33:17Z","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":"We demonstrate an enhancement of the plane wave expansion method treating two-dimensional photonic crystals by applying Fourier factorization with generally elliptic polarization bases. By studying three examples of periodically arranged cylindrical elements, we compare our approach to the classical Ho method in which the permittivity function is simply expanded without changing coordinates, and to the normal vector method using a normal-tangential polarization transform. The compared calculations clearly show that our approach yields the best convergence properties owing to the complete conti","authors_text":"Martin Veis (Charles University in Prague), Roman Antos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-05-23T18:36:13Z","title":"Fourier factorization with complex polarization bases in the plane-wave expansion method applied to two-dimensional photonic crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.4219","kind":"arxiv","version":4},"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":"sha256:60156d611017d5510eab4fb61672a81a01c05da29b47479d509492c7dbc29626","target":"record","created_at":"2026-05-18T04:33:17Z","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":"f6e7d8fc8f46f5e34e3fb6c9aa110909bd6178f98f9dda20c23bda4711c40dec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-05-23T18:36:13Z","title_canon_sha256":"5c276b9be99a737506324b6c78141cd8325833c8ed5a3532164a631bdd718790"},"schema_version":"1.0","source":{"id":"1005.4219","kind":"arxiv","version":4}},"canonical_sha256":"440b3aebaed073621c234c409a57c22073f8c3bc509b5ed4d2fbfdf55d13bc06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"440b3aebaed073621c234c409a57c22073f8c3bc509b5ed4d2fbfdf55d13bc06","first_computed_at":"2026-05-18T04:33:17.999781Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:17.999781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dqjKcr7I57Vbz5ryVPy6D4KlXa4WWyXf91mBatfNfwV4Nq9Ap0ijJLeRnwnX6CJL6IWaC0+QLOIr3MhnE7dmDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:18.000373Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.4219","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60156d611017d5510eab4fb61672a81a01c05da29b47479d509492c7dbc29626","sha256:adb9cf405603d4523b43ca7dfa16a82f57566c94409a30a0af6edb664803d3b7"],"state_sha256":"c42a4e89786a33fe1112033868c077c7e3c0f4e679eab02f3b05974b763cce00"}