{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:ANBYM3EPWCL67R4L2YK33RQBEJ","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":"b70f192c26e0a8d444d9f15c7bfd2a42d36dff1566be396ce9df95f491756901","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2009-09-28T00:07:28Z","title_canon_sha256":"8e3edacdc9f2ce4eb9277e9e0e0ccb99eed7804fc5bfddba4d545c1addad1d50"},"schema_version":"1.0","source":{"id":"0909.4968","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.4968","created_at":"2026-05-18T02:11:37Z"},{"alias_kind":"arxiv_version","alias_value":"0909.4968v2","created_at":"2026-05-18T02:11:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.4968","created_at":"2026-05-18T02:11:37Z"},{"alias_kind":"pith_short_12","alias_value":"ANBYM3EPWCL6","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"ANBYM3EPWCL67R4L","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"ANBYM3EP","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:f8664c75e398f666605f33f13d36fae6ee4ac27e001c74f108b79ab2bd886a03","target":"graph","created_at":"2026-05-18T02:11:37Z","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 present a robust iterative technique for solving complex transcendental dispersion equations routinely encountered in integrated optics. Our method especially befits the multilayer dielectric and plasmonic waveguides forming the basis structures for a host of contemporary nanophotonic devices. The solution algorithm ports seamlessly from the real to the complex domain--i.e., no extra complexity results when dealing with leaky structures or those with material/metal loss. Unlike several existing numerical approaches, our algorithm exhibits markedly-reduced sensitivity to the initial guess an","authors_text":"Aaron C. Hryciw, Edward S. Barnard, Mark L. Brongersma, Rohan D. Kekatpure","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2009-09-28T00:07:28Z","title":"Solving dielectric and plasmonic waveguide dispersion relations with a pocket calculator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.4968","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":"sha256:7be08706c3edef2d578e9ed31421585b796a795b8a9c67740c46ae08de5a0415","target":"record","created_at":"2026-05-18T02:11:37Z","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":"b70f192c26e0a8d444d9f15c7bfd2a42d36dff1566be396ce9df95f491756901","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2009-09-28T00:07:28Z","title_canon_sha256":"8e3edacdc9f2ce4eb9277e9e0e0ccb99eed7804fc5bfddba4d545c1addad1d50"},"schema_version":"1.0","source":{"id":"0909.4968","kind":"arxiv","version":2}},"canonical_sha256":"0343866c8fb097efc78bd615bdc601225640698f7bd078fdcf244b342e9154a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0343866c8fb097efc78bd615bdc601225640698f7bd078fdcf244b342e9154a7","first_computed_at":"2026-05-18T02:11:37.193295Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:37.193295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PL78XlGnPxrFGRr/WjE2o+L/84uDX9y1zCkVz4L17BvdDfcVSOhEpEracvcP4qWSU2p+V+M/VJ2Ui5oJ7cslCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:37.193990Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.4968","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7be08706c3edef2d578e9ed31421585b796a795b8a9c67740c46ae08de5a0415","sha256:f8664c75e398f666605f33f13d36fae6ee4ac27e001c74f108b79ab2bd886a03"],"state_sha256":"a6d3d98098a4cf6a1c89643a3e5dc1de01890eb4ab1cb999e705b8e066550cb9"}