{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ZBK2FW5X6VW5QQA4SKEPZ6MWIG","short_pith_number":"pith:ZBK2FW5X","canonical_record":{"source":{"id":"1506.00064","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-05-30T03:21:51Z","cross_cats_sorted":[],"title_canon_sha256":"b129f27b0f9b0706794a70741f6142b854db571fa8ca1ec049f339f8e9887b60","abstract_canon_sha256":"f8cf11f283fec3309dc9dbaaf37f26202c2a06b1b536ad95d5352d697bf5fb04"},"schema_version":"1.0"},"canonical_sha256":"c855a2dbb7f56dd8401c9288fcf99641aef50569e15a072995c44964b26375de","source":{"kind":"arxiv","id":"1506.00064","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00064","created_at":"2026-05-18T01:59:55Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00064v1","created_at":"2026-05-18T01:59:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00064","created_at":"2026-05-18T01:59:55Z"},{"alias_kind":"pith_short_12","alias_value":"ZBK2FW5X6VW5","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZBK2FW5X6VW5QQA4","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZBK2FW5X","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ZBK2FW5X6VW5QQA4SKEPZ6MWIG","target":"record","payload":{"canonical_record":{"source":{"id":"1506.00064","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-05-30T03:21:51Z","cross_cats_sorted":[],"title_canon_sha256":"b129f27b0f9b0706794a70741f6142b854db571fa8ca1ec049f339f8e9887b60","abstract_canon_sha256":"f8cf11f283fec3309dc9dbaaf37f26202c2a06b1b536ad95d5352d697bf5fb04"},"schema_version":"1.0"},"canonical_sha256":"c855a2dbb7f56dd8401c9288fcf99641aef50569e15a072995c44964b26375de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:55.575541Z","signature_b64":"6rTvJw2g0Vw9F6w3Jz6631EfLftvt0KJe+0AlkGI9VrfR1S+ZOpORg+nM3aSGgeWIis2m09HKpYC/iNLcjnjAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c855a2dbb7f56dd8401c9288fcf99641aef50569e15a072995c44964b26375de","last_reissued_at":"2026-05-18T01:59:55.575021Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:55.575021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.00064","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":"2026-05-18T01:59:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2EEQmBrdU9PDB2yvXXrQy4bVRk7J7sJVW6yqDfeXazOCsTaEHDEo7ruso3v09R2IPfs0ZPMBZEhMaG3lB8oVDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:13:14.698288Z"},"content_sha256":"1e8207726cdce927370a1840828680d0048ea9eacbcf3d6da00eac1cec65ca8c","schema_version":"1.0","event_id":"sha256:1e8207726cdce927370a1840828680d0048ea9eacbcf3d6da00eac1cec65ca8c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ZBK2FW5X6VW5QQA4SKEPZ6MWIG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlocal effective medium analysis in symmetric metal-dielectric multilayer metamaterials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Jie Gao, Lei Sun, Ting S. Luk, Xiaodong Yang, Zhigang Li","submitted_at":"2015-05-30T03:21:51Z","abstract_excerpt":"The optical nonlocality in symmetric metal-dielectric multilayer metamaterials is theoretically and experimentally investigated with respect to transverse-magnetic-polarized incident light. A nonlocal effective medium theory is derived from the transfer-matrix method to determine the nonlocal effective permittivity depending on both the frequency and wave vector in a symmetric metal-dielectric multilayer stack. In contrast to the local effective medium theory, our proposed nonlocal effective medium theory can accurately predict measured incident angle-dependent reflection spectra from a fabric"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00064","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":"2026-05-18T01:59:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3niaf8DFJnNf9IW/2s6OZxyWAzPv3xnT4WlYlBSty+3Wql7kITAImEGRLm3q490LWYqXKZlh5DqBqw/ZwdvsAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:13:14.698659Z"},"content_sha256":"35302f9c1e941193450c5fdd56cf1d1400c70447113baee117173d77a8b48c2c","schema_version":"1.0","event_id":"sha256:35302f9c1e941193450c5fdd56cf1d1400c70447113baee117173d77a8b48c2c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZBK2FW5X6VW5QQA4SKEPZ6MWIG/bundle.json","state_url":"https://pith.science/pith/ZBK2FW5X6VW5QQA4SKEPZ6MWIG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZBK2FW5X6VW5QQA4SKEPZ6MWIG/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":"2026-06-03T22:13:14Z","links":{"resolver":"https://pith.science/pith/ZBK2FW5X6VW5QQA4SKEPZ6MWIG","bundle":"https://pith.science/pith/ZBK2FW5X6VW5QQA4SKEPZ6MWIG/bundle.json","state":"https://pith.science/pith/ZBK2FW5X6VW5QQA4SKEPZ6MWIG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZBK2FW5X6VW5QQA4SKEPZ6MWIG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZBK2FW5X6VW5QQA4SKEPZ6MWIG","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":"f8cf11f283fec3309dc9dbaaf37f26202c2a06b1b536ad95d5352d697bf5fb04","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-05-30T03:21:51Z","title_canon_sha256":"b129f27b0f9b0706794a70741f6142b854db571fa8ca1ec049f339f8e9887b60"},"schema_version":"1.0","source":{"id":"1506.00064","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00064","created_at":"2026-05-18T01:59:55Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00064v1","created_at":"2026-05-18T01:59:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00064","created_at":"2026-05-18T01:59:55Z"},{"alias_kind":"pith_short_12","alias_value":"ZBK2FW5X6VW5","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZBK2FW5X6VW5QQA4","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZBK2FW5X","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:35302f9c1e941193450c5fdd56cf1d1400c70447113baee117173d77a8b48c2c","target":"graph","created_at":"2026-05-18T01:59:55Z","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":"The optical nonlocality in symmetric metal-dielectric multilayer metamaterials is theoretically and experimentally investigated with respect to transverse-magnetic-polarized incident light. A nonlocal effective medium theory is derived from the transfer-matrix method to determine the nonlocal effective permittivity depending on both the frequency and wave vector in a symmetric metal-dielectric multilayer stack. In contrast to the local effective medium theory, our proposed nonlocal effective medium theory can accurately predict measured incident angle-dependent reflection spectra from a fabric","authors_text":"Jie Gao, Lei Sun, Ting S. Luk, Xiaodong Yang, Zhigang Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-05-30T03:21:51Z","title":"Nonlocal effective medium analysis in symmetric metal-dielectric multilayer metamaterials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00064","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":"sha256:1e8207726cdce927370a1840828680d0048ea9eacbcf3d6da00eac1cec65ca8c","target":"record","created_at":"2026-05-18T01:59:55Z","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":"f8cf11f283fec3309dc9dbaaf37f26202c2a06b1b536ad95d5352d697bf5fb04","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-05-30T03:21:51Z","title_canon_sha256":"b129f27b0f9b0706794a70741f6142b854db571fa8ca1ec049f339f8e9887b60"},"schema_version":"1.0","source":{"id":"1506.00064","kind":"arxiv","version":1}},"canonical_sha256":"c855a2dbb7f56dd8401c9288fcf99641aef50569e15a072995c44964b26375de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c855a2dbb7f56dd8401c9288fcf99641aef50569e15a072995c44964b26375de","first_computed_at":"2026-05-18T01:59:55.575021Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:55.575021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6rTvJw2g0Vw9F6w3Jz6631EfLftvt0KJe+0AlkGI9VrfR1S+ZOpORg+nM3aSGgeWIis2m09HKpYC/iNLcjnjAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:55.575541Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.00064","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e8207726cdce927370a1840828680d0048ea9eacbcf3d6da00eac1cec65ca8c","sha256:35302f9c1e941193450c5fdd56cf1d1400c70447113baee117173d77a8b48c2c"],"state_sha256":"6c695fe8127227e4705505a15630fff55572aab77886cb557542c2e609c976b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z+QXqS6TxTWMnf3JDYyGYG5wP2OKOUMzcBcuRwH2qF5u09LCAGB/UJtAY6K5pRItDTsQVsbP2eVpxa8QCD7wAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T22:13:14.700656Z","bundle_sha256":"a9c680cfb9cf91b8f8ffc5f72dc6d022e4ad1ffe8297045703914337b6a5fec1"}}