{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:CADON25HZ2HPVT7J7K7WEC5IFN","short_pith_number":"pith:CADON25H","canonical_record":{"source":{"id":"1402.0552","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-02-04T00:18:17Z","cross_cats_sorted":[],"title_canon_sha256":"5f3e9cd2ab16fc2135e24bdfb92b8a20da90c8347ae236c3deec0128e235a73b","abstract_canon_sha256":"7d854ec269b92555aea87ba12232afb7df6e62d371fc03328699f21d6e37a0f7"},"schema_version":"1.0"},"canonical_sha256":"1006e6eba7ce8efacfe9fabf620ba82b6cdd0596f704d7cc2daf37c0afe27a3f","source":{"kind":"arxiv","id":"1402.0552","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0552","created_at":"2026-05-18T02:52:55Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0552v2","created_at":"2026-05-18T02:52:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0552","created_at":"2026-05-18T02:52:55Z"},{"alias_kind":"pith_short_12","alias_value":"CADON25HZ2HP","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"CADON25HZ2HPVT7J","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"CADON25H","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:CADON25HZ2HPVT7J7K7WEC5IFN","target":"record","payload":{"canonical_record":{"source":{"id":"1402.0552","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-02-04T00:18:17Z","cross_cats_sorted":[],"title_canon_sha256":"5f3e9cd2ab16fc2135e24bdfb92b8a20da90c8347ae236c3deec0128e235a73b","abstract_canon_sha256":"7d854ec269b92555aea87ba12232afb7df6e62d371fc03328699f21d6e37a0f7"},"schema_version":"1.0"},"canonical_sha256":"1006e6eba7ce8efacfe9fabf620ba82b6cdd0596f704d7cc2daf37c0afe27a3f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:55.699468Z","signature_b64":"4A1fNBZBcmL/XOGfsReznP4Jifs+AWHQnuP0DXWnQoMP8VaMKu5ckrKQk0cDhOMmQsII3E9sluvH9ysIoyxjAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1006e6eba7ce8efacfe9fabf620ba82b6cdd0596f704d7cc2daf37c0afe27a3f","last_reissued_at":"2026-05-18T02:52:55.698858Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:55.698858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.0552","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":"2026-05-18T02:52:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7IG2zIw3R00QeqErMmt9ZRqD2hEx6gsuDp9a8yhMav2EQIegFPsmjeI0nKqYi3RyGPFqIUaIhBInoPh0xbBfCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:00:45.063859Z"},"content_sha256":"6c115314e9b0b4fb37ba8e54ec9a301295ea0c22f02d070b0d55ce1dada4c284","schema_version":"1.0","event_id":"sha256:6c115314e9b0b4fb37ba8e54ec9a301295ea0c22f02d070b0d55ce1dada4c284"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:CADON25HZ2HPVT7J7K7WEC5IFN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized effective-medium theory for metamaterials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Brian A. Slovick, Srini Krishnamurthy, Zhi Gang Yu","submitted_at":"2014-02-04T00:18:17Z","abstract_excerpt":"We present an effective-medium model for calculating the frequency-dependent effective permittivity $\\epsilon(\\omega)$ and permeability $\\mu(\\omega)$ of metamaterial composites containing spherical particles with arbitrary permittivity and permeability. The model is derived from the zero-scattering condition within the dipole approximation, but does not invoke any additional long-wavelength approximations. As a result, it captures the effects of spatial dispersion and predicts a finite effective refractive index and antiresonances in $\\epsilon(\\omega)$ and $\\mu(\\omega)$, in agreement with nume"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0552","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":"2026-05-18T02:52:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6DUt008bBdWbk5ompsm3Wtibmo8E+tg131OjUBldFvcTA+0q+Htw+JZoobcplNPvn2FkZfIb+KtP248NwHqwCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:00:45.064553Z"},"content_sha256":"cec21398ba2698b415a891d5da464030e8900a80d37f2b3b09caf86018951277","schema_version":"1.0","event_id":"sha256:cec21398ba2698b415a891d5da464030e8900a80d37f2b3b09caf86018951277"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CADON25HZ2HPVT7J7K7WEC5IFN/bundle.json","state_url":"https://pith.science/pith/CADON25HZ2HPVT7J7K7WEC5IFN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CADON25HZ2HPVT7J7K7WEC5IFN/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":"2026-05-29T16:00:45Z","links":{"resolver":"https://pith.science/pith/CADON25HZ2HPVT7J7K7WEC5IFN","bundle":"https://pith.science/pith/CADON25HZ2HPVT7J7K7WEC5IFN/bundle.json","state":"https://pith.science/pith/CADON25HZ2HPVT7J7K7WEC5IFN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CADON25HZ2HPVT7J7K7WEC5IFN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:CADON25HZ2HPVT7J7K7WEC5IFN","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":"7d854ec269b92555aea87ba12232afb7df6e62d371fc03328699f21d6e37a0f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-02-04T00:18:17Z","title_canon_sha256":"5f3e9cd2ab16fc2135e24bdfb92b8a20da90c8347ae236c3deec0128e235a73b"},"schema_version":"1.0","source":{"id":"1402.0552","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0552","created_at":"2026-05-18T02:52:55Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0552v2","created_at":"2026-05-18T02:52:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0552","created_at":"2026-05-18T02:52:55Z"},{"alias_kind":"pith_short_12","alias_value":"CADON25HZ2HP","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"CADON25HZ2HPVT7J","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"CADON25H","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:cec21398ba2698b415a891d5da464030e8900a80d37f2b3b09caf86018951277","target":"graph","created_at":"2026-05-18T02:52:55Z","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 an effective-medium model for calculating the frequency-dependent effective permittivity $\\epsilon(\\omega)$ and permeability $\\mu(\\omega)$ of metamaterial composites containing spherical particles with arbitrary permittivity and permeability. The model is derived from the zero-scattering condition within the dipole approximation, but does not invoke any additional long-wavelength approximations. As a result, it captures the effects of spatial dispersion and predicts a finite effective refractive index and antiresonances in $\\epsilon(\\omega)$ and $\\mu(\\omega)$, in agreement with nume","authors_text":"Brian A. Slovick, Srini Krishnamurthy, Zhi Gang Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-02-04T00:18:17Z","title":"Generalized effective-medium theory for metamaterials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0552","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":"sha256:6c115314e9b0b4fb37ba8e54ec9a301295ea0c22f02d070b0d55ce1dada4c284","target":"record","created_at":"2026-05-18T02:52:55Z","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":"7d854ec269b92555aea87ba12232afb7df6e62d371fc03328699f21d6e37a0f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-02-04T00:18:17Z","title_canon_sha256":"5f3e9cd2ab16fc2135e24bdfb92b8a20da90c8347ae236c3deec0128e235a73b"},"schema_version":"1.0","source":{"id":"1402.0552","kind":"arxiv","version":2}},"canonical_sha256":"1006e6eba7ce8efacfe9fabf620ba82b6cdd0596f704d7cc2daf37c0afe27a3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1006e6eba7ce8efacfe9fabf620ba82b6cdd0596f704d7cc2daf37c0afe27a3f","first_computed_at":"2026-05-18T02:52:55.698858Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:55.698858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4A1fNBZBcmL/XOGfsReznP4Jifs+AWHQnuP0DXWnQoMP8VaMKu5ckrKQk0cDhOMmQsII3E9sluvH9ysIoyxjAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:55.699468Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.0552","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c115314e9b0b4fb37ba8e54ec9a301295ea0c22f02d070b0d55ce1dada4c284","sha256:cec21398ba2698b415a891d5da464030e8900a80d37f2b3b09caf86018951277"],"state_sha256":"ae64e555e2ed19fabb846773a752101d842bfcbe348678eaa365316a73ee0666"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0TFFCok1FmOQpv02OEjyP307/tabUsCkFjbRX6MbHNwHWXzD2GSP3Yf8gVpzLK5UNbeKsQC0eSi3rqzOVaOSAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T16:00:45.068111Z","bundle_sha256":"9013c0b69590b81ad16726e478d6bb25d67a9b7bcf9eab91ac64f4e1b3a1d23e"}}