{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:RCKPR4KS5BOJ25QLDABYSWAUER","short_pith_number":"pith:RCKPR4KS","canonical_record":{"source":{"id":"0907.3699","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2009-07-21T16:46:01Z","cross_cats_sorted":[],"title_canon_sha256":"ae08b13c4964388a3e2c625b270cff6be490796e062b6a62b0f3dd5d643238c8","abstract_canon_sha256":"a2fce0979ef46305905236f4b1824fbbc66a5c962c8854482206d566b35f23e6"},"schema_version":"1.0"},"canonical_sha256":"8894f8f152e85c9d760b180389581424462c349862d100d37b4f9e15f1e212e8","source":{"kind":"arxiv","id":"0907.3699","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.3699","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"arxiv_version","alias_value":"0907.3699v2","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3699","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"pith_short_12","alias_value":"RCKPR4KS5BOJ","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"RCKPR4KS5BOJ25QL","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"RCKPR4KS","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:RCKPR4KS5BOJ25QLDABYSWAUER","target":"record","payload":{"canonical_record":{"source":{"id":"0907.3699","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2009-07-21T16:46:01Z","cross_cats_sorted":[],"title_canon_sha256":"ae08b13c4964388a3e2c625b270cff6be490796e062b6a62b0f3dd5d643238c8","abstract_canon_sha256":"a2fce0979ef46305905236f4b1824fbbc66a5c962c8854482206d566b35f23e6"},"schema_version":"1.0"},"canonical_sha256":"8894f8f152e85c9d760b180389581424462c349862d100d37b4f9e15f1e212e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:12:54.958512Z","signature_b64":"lu8I02qOt6gT1bz5xHMZQawZKKzc4TvNcRARBtISke2Vqxnj3g4wyCWH7BUHMx4o2HAITDoJjRwonsOzbSkmAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8894f8f152e85c9d760b180389581424462c349862d100d37b4f9e15f1e212e8","last_reissued_at":"2026-05-18T02:12:54.958087Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:12:54.958087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.3699","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:12:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"srrIWx0QSBN101G9aKC+gkzwMlmBWBvpT7hjL/NO/2JdDz8ZV2nQrPwDeX8SXj8qQoCdgBFodHJkNGCRF01iAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T21:53:09.306069Z"},"content_sha256":"94e4cf3f4ac19901b058bfeac2058ac2bf328276baa4f294a3b24393f01cfe61","schema_version":"1.0","event_id":"sha256:94e4cf3f4ac19901b058bfeac2058ac2bf328276baa4f294a3b24393f01cfe61"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:RCKPR4KS5BOJ25QLDABYSWAUER","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite-difference frequency-domain method for the extraction of effective parameters of metamaterials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Joao T. Costa, Mario G. Silveirinha, Stanislav I. Maslovski","submitted_at":"2009-07-21T16:46:01Z","abstract_excerpt":"Here, we report a numerical implementation of the nonlocal homogenization approach recently proposed in [M. Silveirinha, Phys. Rev. B 75, 115104 (2007)], using the finite difference frequency-domain method to discretize the Maxwell-Equations. We apply the developed formalism to characterize the nonlocal dielectric function of several structured materials formed by dielectric and metallic particles, and in particular, we extract the local permittivity, permeability and magnetoelectric coupling parameters when these are meaningful. It is shown that the finite differences frequency domain impleme"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3699","kind":"arxiv","version":2},"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":"2026-05-18T02:12:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uho0sC6NjDghvgmNY/+AerMixa2KPBtRXOKv4Z/IlHoC3QpSoYMNglOv/Wth7Set90LYN9V3UuJBv7Zu0igDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T21:53:09.306432Z"},"content_sha256":"60b8d7d27f6551ea9ad9b6468f47ee09096669f1a860f1de2e6570d8b3e84692","schema_version":"1.0","event_id":"sha256:60b8d7d27f6551ea9ad9b6468f47ee09096669f1a860f1de2e6570d8b3e84692"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RCKPR4KS5BOJ25QLDABYSWAUER/bundle.json","state_url":"https://pith.science/pith/RCKPR4KS5BOJ25QLDABYSWAUER/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RCKPR4KS5BOJ25QLDABYSWAUER/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":"2026-06-28T21:53:09Z","links":{"resolver":"https://pith.science/pith/RCKPR4KS5BOJ25QLDABYSWAUER","bundle":"https://pith.science/pith/RCKPR4KS5BOJ25QLDABYSWAUER/bundle.json","state":"https://pith.science/pith/RCKPR4KS5BOJ25QLDABYSWAUER/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RCKPR4KS5BOJ25QLDABYSWAUER/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:RCKPR4KS5BOJ25QLDABYSWAUER","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":"a2fce0979ef46305905236f4b1824fbbc66a5c962c8854482206d566b35f23e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2009-07-21T16:46:01Z","title_canon_sha256":"ae08b13c4964388a3e2c625b270cff6be490796e062b6a62b0f3dd5d643238c8"},"schema_version":"1.0","source":{"id":"0907.3699","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.3699","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"arxiv_version","alias_value":"0907.3699v2","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3699","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"pith_short_12","alias_value":"RCKPR4KS5BOJ","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"RCKPR4KS5BOJ25QL","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"RCKPR4KS","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:60b8d7d27f6551ea9ad9b6468f47ee09096669f1a860f1de2e6570d8b3e84692","target":"graph","created_at":"2026-05-18T02:12:54Z","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":"Here, we report a numerical implementation of the nonlocal homogenization approach recently proposed in [M. Silveirinha, Phys. Rev. B 75, 115104 (2007)], using the finite difference frequency-domain method to discretize the Maxwell-Equations. We apply the developed formalism to characterize the nonlocal dielectric function of several structured materials formed by dielectric and metallic particles, and in particular, we extract the local permittivity, permeability and magnetoelectric coupling parameters when these are meaningful. It is shown that the finite differences frequency domain impleme","authors_text":"Joao T. Costa, Mario G. Silveirinha, Stanislav I. Maslovski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2009-07-21T16:46:01Z","title":"Finite-difference frequency-domain method for the extraction of effective parameters of metamaterials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3699","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":"sha256:94e4cf3f4ac19901b058bfeac2058ac2bf328276baa4f294a3b24393f01cfe61","target":"record","created_at":"2026-05-18T02:12:54Z","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":"a2fce0979ef46305905236f4b1824fbbc66a5c962c8854482206d566b35f23e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2009-07-21T16:46:01Z","title_canon_sha256":"ae08b13c4964388a3e2c625b270cff6be490796e062b6a62b0f3dd5d643238c8"},"schema_version":"1.0","source":{"id":"0907.3699","kind":"arxiv","version":2}},"canonical_sha256":"8894f8f152e85c9d760b180389581424462c349862d100d37b4f9e15f1e212e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8894f8f152e85c9d760b180389581424462c349862d100d37b4f9e15f1e212e8","first_computed_at":"2026-05-18T02:12:54.958087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:12:54.958087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lu8I02qOt6gT1bz5xHMZQawZKKzc4TvNcRARBtISke2Vqxnj3g4wyCWH7BUHMx4o2HAITDoJjRwonsOzbSkmAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:12:54.958512Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.3699","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94e4cf3f4ac19901b058bfeac2058ac2bf328276baa4f294a3b24393f01cfe61","sha256:60b8d7d27f6551ea9ad9b6468f47ee09096669f1a860f1de2e6570d8b3e84692"],"state_sha256":"3b059d8ab30a8cb6e7d7e9ffc4fdc41c43e5216cadc87f42b87abea434c081b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Yo5nd93YufX2Y8tqzuPI9s/OIptcg+nc8ajQ/a90bWZvxjyfWyKEr8om03ak/tXSBfVPkWG9jSQo+zt6T0/BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T21:53:09.308530Z","bundle_sha256":"ad4b78b97fa37af1478a9b71f53f10ee827865e422499babff7581aafce872ac"}}