{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:UOX3JYCFQSKERLUIGLZNHTWXWE","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":"a9bb8f3cad5ba86883855eaf575f9caf1ea2bcc0b89c459e93d23dc96a40fd1f","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-02-05T01:25:10Z","title_canon_sha256":"d7422fd6f62d5b5ad6609a8455c65b0d8eaa3230db8e7b47c33939899f7b16bf"},"schema_version":"1.0","source":{"id":"1802.01573","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.01573","created_at":"2026-05-18T00:22:54Z"},{"alias_kind":"arxiv_version","alias_value":"1802.01573v2","created_at":"2026-05-18T00:22:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01573","created_at":"2026-05-18T00:22:54Z"},{"alias_kind":"pith_short_12","alias_value":"UOX3JYCFQSKE","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UOX3JYCFQSKERLUI","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UOX3JYCF","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:b37cf67f0fad7286a59743ce5cdf7b54a718ed7cf558f1a7d007cccf71d3f171","target":"graph","created_at":"2026-05-18T00:22:54Z","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":"An integral equation formulation is presented for describing the scalar wave propagation through a nano-hole on a plasmonic layer in terms of scalar Green's function for the associated Helmholtz problem. Taking the radius of the nano-hole to be the smallest length parameter of the system, we obtain an exact closed-form analytic solution of the integral equation for the scalar Green's function for scalar wave propagation through the nano-hole and the dispersion relations for such a plasmonic layer.","authors_text":"D\\'esir\\'e Miessein, Godfrey Gumbs, Harry Lenzing","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-02-05T01:25:10Z","title":"Helmholtz Green's function for scalar wave propagation through a nano-hole on a plasmonic layer"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01573","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:f1d2af4583286889e561faa3433156b7b0020ef43ac87cef0681ab84617e533c","target":"record","created_at":"2026-05-18T00:22:54Z","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":"a9bb8f3cad5ba86883855eaf575f9caf1ea2bcc0b89c459e93d23dc96a40fd1f","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-02-05T01:25:10Z","title_canon_sha256":"d7422fd6f62d5b5ad6609a8455c65b0d8eaa3230db8e7b47c33939899f7b16bf"},"schema_version":"1.0","source":{"id":"1802.01573","kind":"arxiv","version":2}},"canonical_sha256":"a3afb4e045849448ae8832f2d3ced7b1303beef093ff02788c05958a75256cfe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3afb4e045849448ae8832f2d3ced7b1303beef093ff02788c05958a75256cfe","first_computed_at":"2026-05-18T00:22:54.569940Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:54.569940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1yx6mEoCLMpRThAOEzw7LiA9Et9zgpm/FK//rP/9Ow4Idvyj0FYWCxmGh8sF8DUMOS9Qt8gNLTlK/iXbrJYVAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:54.570532Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.01573","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1d2af4583286889e561faa3433156b7b0020ef43ac87cef0681ab84617e533c","sha256:b37cf67f0fad7286a59743ce5cdf7b54a718ed7cf558f1a7d007cccf71d3f171"],"state_sha256":"6bd27bdf543a0d637c207ed2cd10cc61edeeb2f1f372c752a8fb9188a13c5d8f"}