{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:4ZGKSPNRYFOKJFIUISMSARONL4","short_pith_number":"pith:4ZGKSPNR","canonical_record":{"source":{"id":"1311.4188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-11-17T17:32:13Z","cross_cats_sorted":[],"title_canon_sha256":"13e6598479b8d2952e63710f1ad08fb8823818107af56c096579d78135340f8a","abstract_canon_sha256":"c897763c905a8725028bf5d3c73983564b30f04f5a44ce82e9404c3349f4fa46"},"schema_version":"1.0"},"canonical_sha256":"e64ca93db1c15ca4951444992045cd5f0a9032db601074e9ffad3a48f55ebc9b","source":{"kind":"arxiv","id":"1311.4188","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4188","created_at":"2026-05-18T03:06:53Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4188v1","created_at":"2026-05-18T03:06:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4188","created_at":"2026-05-18T03:06:53Z"},{"alias_kind":"pith_short_12","alias_value":"4ZGKSPNRYFOK","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4ZGKSPNRYFOKJFIU","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4ZGKSPNR","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:4ZGKSPNRYFOKJFIUISMSARONL4","target":"record","payload":{"canonical_record":{"source":{"id":"1311.4188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-11-17T17:32:13Z","cross_cats_sorted":[],"title_canon_sha256":"13e6598479b8d2952e63710f1ad08fb8823818107af56c096579d78135340f8a","abstract_canon_sha256":"c897763c905a8725028bf5d3c73983564b30f04f5a44ce82e9404c3349f4fa46"},"schema_version":"1.0"},"canonical_sha256":"e64ca93db1c15ca4951444992045cd5f0a9032db601074e9ffad3a48f55ebc9b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:53.389377Z","signature_b64":"8jdVH7mKAnX4UE6DBaAP8MD8cjDCM1aVX7tMed0QPWfducgzlVRSiVidaB9XSCOHrJK8d9v4DpUXT+SbfhKPCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e64ca93db1c15ca4951444992045cd5f0a9032db601074e9ffad3a48f55ebc9b","last_reissued_at":"2026-05-18T03:06:53.388821Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:53.388821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.4188","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:06:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tWEaQXQ78PIJBuF2kIqKF634Gb5nUI1OZH0wQjc9xOqKJ/OAu596yUd0+J5esQHIqugNsyTwyjyyF23CARbMAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T23:09:31.682912Z"},"content_sha256":"c70d59301e278aaf61e8260939279abba20fffb38c269b794c57542c905b38ae","schema_version":"1.0","event_id":"sha256:c70d59301e278aaf61e8260939279abba20fffb38c269b794c57542c905b38ae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:4ZGKSPNRYFOKJFIUISMSARONL4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Impact of Metallic Interface Description on Sub-wavelength Cavity Mode Computations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Brigitte Bid\\'egaray-Fesquet (LJK), Eric Dumas (IF)","submitted_at":"2013-11-17T17:32:13Z","abstract_excerpt":"We present a numerical study of electromagnetic reflection and cavity modes of 1D-sub-wavelength rectangular metallic gratings exposed to TM-polarized light. Computations are made using the modal development. In particular we study the influence of the choice of boundary conditions on the metallic surfaces on the determination of modes, on specular reflectance and cavity mode amplitudes. Our full real-metal approach shows some advantages when compared to former results since it is in better accordance with experimental results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4188","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:06:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G6teYZ9uYe3LpLevouyOnmYN1CsASx5gkwBec7U0bOU0omSoD6FCO9YncRcIYvWIwZi6psTR5s/aK1ZsPZF/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T23:09:31.683269Z"},"content_sha256":"0000387881b78675eb190e5ef8233686b5c25a6dedf1577c5f6e7255aa5899fe","schema_version":"1.0","event_id":"sha256:0000387881b78675eb190e5ef8233686b5c25a6dedf1577c5f6e7255aa5899fe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4ZGKSPNRYFOKJFIUISMSARONL4/bundle.json","state_url":"https://pith.science/pith/4ZGKSPNRYFOKJFIUISMSARONL4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4ZGKSPNRYFOKJFIUISMSARONL4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-24T23:09:31Z","links":{"resolver":"https://pith.science/pith/4ZGKSPNRYFOKJFIUISMSARONL4","bundle":"https://pith.science/pith/4ZGKSPNRYFOKJFIUISMSARONL4/bundle.json","state":"https://pith.science/pith/4ZGKSPNRYFOKJFIUISMSARONL4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4ZGKSPNRYFOKJFIUISMSARONL4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4ZGKSPNRYFOKJFIUISMSARONL4","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":"c897763c905a8725028bf5d3c73983564b30f04f5a44ce82e9404c3349f4fa46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-11-17T17:32:13Z","title_canon_sha256":"13e6598479b8d2952e63710f1ad08fb8823818107af56c096579d78135340f8a"},"schema_version":"1.0","source":{"id":"1311.4188","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4188","created_at":"2026-05-18T03:06:53Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4188v1","created_at":"2026-05-18T03:06:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4188","created_at":"2026-05-18T03:06:53Z"},{"alias_kind":"pith_short_12","alias_value":"4ZGKSPNRYFOK","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4ZGKSPNRYFOKJFIU","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4ZGKSPNR","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:0000387881b78675eb190e5ef8233686b5c25a6dedf1577c5f6e7255aa5899fe","target":"graph","created_at":"2026-05-18T03:06:53Z","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 numerical study of electromagnetic reflection and cavity modes of 1D-sub-wavelength rectangular metallic gratings exposed to TM-polarized light. Computations are made using the modal development. In particular we study the influence of the choice of boundary conditions on the metallic surfaces on the determination of modes, on specular reflectance and cavity mode amplitudes. Our full real-metal approach shows some advantages when compared to former results since it is in better accordance with experimental results.","authors_text":"Brigitte Bid\\'egaray-Fesquet (LJK), Eric Dumas (IF)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-11-17T17:32:13Z","title":"Impact of Metallic Interface Description on Sub-wavelength Cavity Mode Computations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4188","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:c70d59301e278aaf61e8260939279abba20fffb38c269b794c57542c905b38ae","target":"record","created_at":"2026-05-18T03:06:53Z","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":"c897763c905a8725028bf5d3c73983564b30f04f5a44ce82e9404c3349f4fa46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-11-17T17:32:13Z","title_canon_sha256":"13e6598479b8d2952e63710f1ad08fb8823818107af56c096579d78135340f8a"},"schema_version":"1.0","source":{"id":"1311.4188","kind":"arxiv","version":1}},"canonical_sha256":"e64ca93db1c15ca4951444992045cd5f0a9032db601074e9ffad3a48f55ebc9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e64ca93db1c15ca4951444992045cd5f0a9032db601074e9ffad3a48f55ebc9b","first_computed_at":"2026-05-18T03:06:53.388821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:53.388821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8jdVH7mKAnX4UE6DBaAP8MD8cjDCM1aVX7tMed0QPWfducgzlVRSiVidaB9XSCOHrJK8d9v4DpUXT+SbfhKPCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:53.389377Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.4188","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c70d59301e278aaf61e8260939279abba20fffb38c269b794c57542c905b38ae","sha256:0000387881b78675eb190e5ef8233686b5c25a6dedf1577c5f6e7255aa5899fe"],"state_sha256":"be601532faca6b3b4e7dc42ae24eece04778fa673d0044a10c7ef876ca973109"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rXALLyXrhSAcQ3gajeX/iO6NEvfdpwPgCI6AoQSpOagyrzZk0XPhcaOBTZUqe/yaR7DxtXBmIifx/iNiAv63AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T23:09:31.685302Z","bundle_sha256":"c8dc399eb137c62255dc184a639cf6381a23c9ef49826d09d8d0bd2657e71478"}}