{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:NDXBAXWL6ZGYLTUMQQL6NHLW4V","short_pith_number":"pith:NDXBAXWL","canonical_record":{"source":{"id":"1602.04086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2016-02-12T15:50:12Z","cross_cats_sorted":[],"title_canon_sha256":"b645f7fc1df8853d002bd1eea0889a6b409e261108cec17f125518b68b923ea3","abstract_canon_sha256":"1a8e8b9ef2bc4ee9941c1a1a7ef26cca8d1161b9fb713443b369c043e4a96680"},"schema_version":"1.0"},"canonical_sha256":"68ee105ecbf64d85ce8c8417e69d76e575cddf437488a48267c5e7430735939e","source":{"kind":"arxiv","id":"1602.04086","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.04086","created_at":"2026-05-18T00:51:53Z"},{"alias_kind":"arxiv_version","alias_value":"1602.04086v1","created_at":"2026-05-18T00:51:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04086","created_at":"2026-05-18T00:51:53Z"},{"alias_kind":"pith_short_12","alias_value":"NDXBAXWL6ZGY","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NDXBAXWL6ZGYLTUM","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NDXBAXWL","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:NDXBAXWL6ZGYLTUMQQL6NHLW4V","target":"record","payload":{"canonical_record":{"source":{"id":"1602.04086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2016-02-12T15:50:12Z","cross_cats_sorted":[],"title_canon_sha256":"b645f7fc1df8853d002bd1eea0889a6b409e261108cec17f125518b68b923ea3","abstract_canon_sha256":"1a8e8b9ef2bc4ee9941c1a1a7ef26cca8d1161b9fb713443b369c043e4a96680"},"schema_version":"1.0"},"canonical_sha256":"68ee105ecbf64d85ce8c8417e69d76e575cddf437488a48267c5e7430735939e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:53.269001Z","signature_b64":"dh+tNQjZ5Y6oSdTG4bBBwSHkkiq4rTfiBE1pc3iSZghszf5jIDXb5CmhfbNm5AiSNTFPShdg96yAJyYqvLGsAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68ee105ecbf64d85ce8c8417e69d76e575cddf437488a48267c5e7430735939e","last_reissued_at":"2026-05-18T00:51:53.268336Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:53.268336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.04086","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":"2026-05-18T00:51:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LvWv9MqAcLbVCTeq5sG3sCkFIKG0HxVZ3iD1lG3/hd2+I6yqSghfov1fVdu+V/Q5+4WvyuZStRCTzeRKvxzACg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T01:16:10.058781Z"},"content_sha256":"f9d20c5f25f70af708453a2a358f151b2f1117c0b3ecf2979f535afcc745e321","schema_version":"1.0","event_id":"sha256:f9d20c5f25f70af708453a2a358f151b2f1117c0b3ecf2979f535afcc745e321"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:NDXBAXWL6ZGYLTUMQQL6NHLW4V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simulation of Metasurfaces in Finite Difference Techniques","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Christophe Caloz, Karim Achouri, Yousef Vahabzadeh","submitted_at":"2016-02-12T15:50:12Z","abstract_excerpt":"We introduce a rigorous and simple method for analyzing metasurfaces, modeled as zero-thickness electromagnetic sheets, in Finite Difference (FD) techniques. The method consists in describing the spatial discontinuity induced by the metasurface as a virtual structure, located between nodal rows of the Yee grid, using a finite difference version of Generalized Sheet Transition Conditions (GSTCs). In contrast to previously reported approaches, the proposed method can handle sheets exhibiting both electric and magnetic discontinuities, and represents therefore a fundamental contribution in comput"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04086","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":"2026-05-18T00:51:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J9sBE4KPfCGVmVns8ukTVnbyBZjsaGuVu9uTHu+bGzqeSixO7WawCT8109i1JdMJ6bOs8UbKvPoaPdsxe5dTBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T01:16:10.059125Z"},"content_sha256":"b705230f807465cd7c76afa75638740862e77656b7f192f7c49c717e0d435008","schema_version":"1.0","event_id":"sha256:b705230f807465cd7c76afa75638740862e77656b7f192f7c49c717e0d435008"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NDXBAXWL6ZGYLTUMQQL6NHLW4V/bundle.json","state_url":"https://pith.science/pith/NDXBAXWL6ZGYLTUMQQL6NHLW4V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NDXBAXWL6ZGYLTUMQQL6NHLW4V/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":"2026-05-28T01:16:10Z","links":{"resolver":"https://pith.science/pith/NDXBAXWL6ZGYLTUMQQL6NHLW4V","bundle":"https://pith.science/pith/NDXBAXWL6ZGYLTUMQQL6NHLW4V/bundle.json","state":"https://pith.science/pith/NDXBAXWL6ZGYLTUMQQL6NHLW4V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NDXBAXWL6ZGYLTUMQQL6NHLW4V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NDXBAXWL6ZGYLTUMQQL6NHLW4V","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":"1a8e8b9ef2bc4ee9941c1a1a7ef26cca8d1161b9fb713443b369c043e4a96680","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2016-02-12T15:50:12Z","title_canon_sha256":"b645f7fc1df8853d002bd1eea0889a6b409e261108cec17f125518b68b923ea3"},"schema_version":"1.0","source":{"id":"1602.04086","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.04086","created_at":"2026-05-18T00:51:53Z"},{"alias_kind":"arxiv_version","alias_value":"1602.04086v1","created_at":"2026-05-18T00:51:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04086","created_at":"2026-05-18T00:51:53Z"},{"alias_kind":"pith_short_12","alias_value":"NDXBAXWL6ZGY","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NDXBAXWL6ZGYLTUM","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NDXBAXWL","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:b705230f807465cd7c76afa75638740862e77656b7f192f7c49c717e0d435008","target":"graph","created_at":"2026-05-18T00:51:53Z","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 introduce a rigorous and simple method for analyzing metasurfaces, modeled as zero-thickness electromagnetic sheets, in Finite Difference (FD) techniques. The method consists in describing the spatial discontinuity induced by the metasurface as a virtual structure, located between nodal rows of the Yee grid, using a finite difference version of Generalized Sheet Transition Conditions (GSTCs). In contrast to previously reported approaches, the proposed method can handle sheets exhibiting both electric and magnetic discontinuities, and represents therefore a fundamental contribution in comput","authors_text":"Christophe Caloz, Karim Achouri, Yousef Vahabzadeh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2016-02-12T15:50:12Z","title":"Simulation of Metasurfaces in Finite Difference Techniques"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04086","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:f9d20c5f25f70af708453a2a358f151b2f1117c0b3ecf2979f535afcc745e321","target":"record","created_at":"2026-05-18T00:51:53Z","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":"1a8e8b9ef2bc4ee9941c1a1a7ef26cca8d1161b9fb713443b369c043e4a96680","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2016-02-12T15:50:12Z","title_canon_sha256":"b645f7fc1df8853d002bd1eea0889a6b409e261108cec17f125518b68b923ea3"},"schema_version":"1.0","source":{"id":"1602.04086","kind":"arxiv","version":1}},"canonical_sha256":"68ee105ecbf64d85ce8c8417e69d76e575cddf437488a48267c5e7430735939e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68ee105ecbf64d85ce8c8417e69d76e575cddf437488a48267c5e7430735939e","first_computed_at":"2026-05-18T00:51:53.268336Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:53.268336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dh+tNQjZ5Y6oSdTG4bBBwSHkkiq4rTfiBE1pc3iSZghszf5jIDXb5CmhfbNm5AiSNTFPShdg96yAJyYqvLGsAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:53.269001Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.04086","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9d20c5f25f70af708453a2a358f151b2f1117c0b3ecf2979f535afcc745e321","sha256:b705230f807465cd7c76afa75638740862e77656b7f192f7c49c717e0d435008"],"state_sha256":"ea2cf1377a4fe511cb7ee4e4dc54250531ec33f3a2406033ccbd235a1de572c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"12GQaYbRGNxHwXWbFI3fL+IQohCZ4RluEeeAUmEwJ+g0l7sFbgrNHDX4klsEnQSMdBBK3C3413wEFwwi1AAyBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T01:16:10.061132Z","bundle_sha256":"e0e40fd0ece5e840a6306596b877a5cbaed5421c721afa3b7278224ac503d44c"}}