{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:NE4XEQ63YNUZAJ3TITA7IKTJWE","short_pith_number":"pith:NE4XEQ63","canonical_record":{"source":{"id":"1101.0732","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-01-04T15:04:50Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"b75b52242f6a7a60c01be841f86da294ac0574013506cc705f281f3e4f1eb0c8","abstract_canon_sha256":"42e18c2deff20e847adb83f86a28d518e77747da37b4e0d43d3d20d2ec3501e9"},"schema_version":"1.0"},"canonical_sha256":"69397243dbc36990277344c1f42a69b1322577ad5273654d11ed9d88305db24a","source":{"kind":"arxiv","id":"1101.0732","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.0732","created_at":"2026-05-18T02:04:13Z"},{"alias_kind":"arxiv_version","alias_value":"1101.0732v1","created_at":"2026-05-18T02:04:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.0732","created_at":"2026-05-18T02:04:13Z"},{"alias_kind":"pith_short_12","alias_value":"NE4XEQ63YNUZ","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NE4XEQ63YNUZAJ3T","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NE4XEQ63","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:NE4XEQ63YNUZAJ3TITA7IKTJWE","target":"record","payload":{"canonical_record":{"source":{"id":"1101.0732","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-01-04T15:04:50Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"b75b52242f6a7a60c01be841f86da294ac0574013506cc705f281f3e4f1eb0c8","abstract_canon_sha256":"42e18c2deff20e847adb83f86a28d518e77747da37b4e0d43d3d20d2ec3501e9"},"schema_version":"1.0"},"canonical_sha256":"69397243dbc36990277344c1f42a69b1322577ad5273654d11ed9d88305db24a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:13.444372Z","signature_b64":"CVPPyngqHD3EEZtKbs0svoL2m2BOUSLCm/sSvGhiFPJ0NycJv+AhwFHlDuiLD0XpW3SO29dbP9xW8SF+cBdvBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69397243dbc36990277344c1f42a69b1322577ad5273654d11ed9d88305db24a","last_reissued_at":"2026-05-18T02:04:13.443712Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:13.443712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.0732","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":"2026-05-18T02:04:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wLHMXOgT68VOAoOoNFaG0hG8YH+Gtpc16v35jsjfTKyZui0BeZMngXnX/v1bhMre+eoOMxiyI4DGlyg9ohxmCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:51:22.590730Z"},"content_sha256":"3e4cdcd21778fecfdb7e64d72dc269e2639a328d8faf2f0f55262273a2e09f6e","schema_version":"1.0","event_id":"sha256:3e4cdcd21778fecfdb7e64d72dc269e2639a328d8faf2f0f55262273a2e09f6e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:NE4XEQ63YNUZAJ3TITA7IKTJWE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hybridization effect in coupled metamaterials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"physics.optics","authors_text":"Hui Liu, Shi-Ning Zhu, Shu-Ming Wang, Tao Li","submitted_at":"2011-01-04T15:04:50Z","abstract_excerpt":"Although the invention of the metamaterials has stimulated the interest of many researchers and possesses many important applications, the basic design idea is very simple: composing effective media from many small structured elements and controlling its artificial EM properties. According to the effective-media model, the coupling interactions between the elements in metamaterials are somewhat ignored; therefore, the effective properties of metamaterials can be viewed as the \"averaged effect\" of the resonance property of the individual elements. However, the coupling interaction between eleme"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.0732","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":"2026-05-18T02:04:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PDtFX+x42C0twhtwfcDUKv2VaymW+CicgOhC8MGjHcr/5uZYeFa99ARUBRn77WBVwmt6GJqp+/dK9E4/m81mDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:51:22.591183Z"},"content_sha256":"cf6afcced684b927187d2b57cb0603cf9ada509bd6910e64f4bacc310d39c1ec","schema_version":"1.0","event_id":"sha256:cf6afcced684b927187d2b57cb0603cf9ada509bd6910e64f4bacc310d39c1ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NE4XEQ63YNUZAJ3TITA7IKTJWE/bundle.json","state_url":"https://pith.science/pith/NE4XEQ63YNUZAJ3TITA7IKTJWE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NE4XEQ63YNUZAJ3TITA7IKTJWE/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":"2026-05-29T15:51:22Z","links":{"resolver":"https://pith.science/pith/NE4XEQ63YNUZAJ3TITA7IKTJWE","bundle":"https://pith.science/pith/NE4XEQ63YNUZAJ3TITA7IKTJWE/bundle.json","state":"https://pith.science/pith/NE4XEQ63YNUZAJ3TITA7IKTJWE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NE4XEQ63YNUZAJ3TITA7IKTJWE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NE4XEQ63YNUZAJ3TITA7IKTJWE","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":"42e18c2deff20e847adb83f86a28d518e77747da37b4e0d43d3d20d2ec3501e9","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-01-04T15:04:50Z","title_canon_sha256":"b75b52242f6a7a60c01be841f86da294ac0574013506cc705f281f3e4f1eb0c8"},"schema_version":"1.0","source":{"id":"1101.0732","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.0732","created_at":"2026-05-18T02:04:13Z"},{"alias_kind":"arxiv_version","alias_value":"1101.0732v1","created_at":"2026-05-18T02:04:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.0732","created_at":"2026-05-18T02:04:13Z"},{"alias_kind":"pith_short_12","alias_value":"NE4XEQ63YNUZ","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NE4XEQ63YNUZAJ3T","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NE4XEQ63","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:cf6afcced684b927187d2b57cb0603cf9ada509bd6910e64f4bacc310d39c1ec","target":"graph","created_at":"2026-05-18T02:04:13Z","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":"Although the invention of the metamaterials has stimulated the interest of many researchers and possesses many important applications, the basic design idea is very simple: composing effective media from many small structured elements and controlling its artificial EM properties. According to the effective-media model, the coupling interactions between the elements in metamaterials are somewhat ignored; therefore, the effective properties of metamaterials can be viewed as the \"averaged effect\" of the resonance property of the individual elements. However, the coupling interaction between eleme","authors_text":"Hui Liu, Shi-Ning Zhu, Shu-Ming Wang, Tao Li","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-01-04T15:04:50Z","title":"Hybridization effect in coupled metamaterials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.0732","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":"sha256:3e4cdcd21778fecfdb7e64d72dc269e2639a328d8faf2f0f55262273a2e09f6e","target":"record","created_at":"2026-05-18T02:04:13Z","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":"42e18c2deff20e847adb83f86a28d518e77747da37b4e0d43d3d20d2ec3501e9","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-01-04T15:04:50Z","title_canon_sha256":"b75b52242f6a7a60c01be841f86da294ac0574013506cc705f281f3e4f1eb0c8"},"schema_version":"1.0","source":{"id":"1101.0732","kind":"arxiv","version":1}},"canonical_sha256":"69397243dbc36990277344c1f42a69b1322577ad5273654d11ed9d88305db24a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69397243dbc36990277344c1f42a69b1322577ad5273654d11ed9d88305db24a","first_computed_at":"2026-05-18T02:04:13.443712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:13.443712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CVPPyngqHD3EEZtKbs0svoL2m2BOUSLCm/sSvGhiFPJ0NycJv+AhwFHlDuiLD0XpW3SO29dbP9xW8SF+cBdvBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:13.444372Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.0732","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e4cdcd21778fecfdb7e64d72dc269e2639a328d8faf2f0f55262273a2e09f6e","sha256:cf6afcced684b927187d2b57cb0603cf9ada509bd6910e64f4bacc310d39c1ec"],"state_sha256":"deba4f2a7580951f4dd9adc8a2709e36d53a9e7ddb00c2907f8e00c5abfb4ecb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cW4no6bwxacJ5LY7eC/nXaW7nW4BvzJR2SMhhR/5QZ1nJRFqopQO9nBeF3/+W1EkbhSlDWIXP9wBRjJeR6YuBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T15:51:22.594777Z","bundle_sha256":"87f6011ad74cd7fc820eb3275cbca45004ef3ad025fcd8f9545da2822218a7fa"}}