{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:4BLSFXYRTS33JYIBYGEXBACANI","short_pith_number":"pith:4BLSFXYR","canonical_record":{"source":{"id":"1212.5408","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-12-21T11:56:28Z","cross_cats_sorted":["physics.class-ph","physics.pop-ph"],"title_canon_sha256":"4fbfb2ed05cc2af36de8fb1eb24c4c24e128ef07b4fc0b492d5867b075984780","abstract_canon_sha256":"3438d4c5aabc67cac8cd5e54fd02814c8409fcbb7610e85c6ff662ce0fe34533"},"schema_version":"1.0"},"canonical_sha256":"e05722df119cb7b4e101c1897080406a2b641f13ec4c2e618ea07771986377bc","source":{"kind":"arxiv","id":"1212.5408","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.5408","created_at":"2026-05-18T03:37:54Z"},{"alias_kind":"arxiv_version","alias_value":"1212.5408v1","created_at":"2026-05-18T03:37:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.5408","created_at":"2026-05-18T03:37:54Z"},{"alias_kind":"pith_short_12","alias_value":"4BLSFXYRTS33","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4BLSFXYRTS33JYIB","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4BLSFXYR","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:4BLSFXYRTS33JYIBYGEXBACANI","target":"record","payload":{"canonical_record":{"source":{"id":"1212.5408","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-12-21T11:56:28Z","cross_cats_sorted":["physics.class-ph","physics.pop-ph"],"title_canon_sha256":"4fbfb2ed05cc2af36de8fb1eb24c4c24e128ef07b4fc0b492d5867b075984780","abstract_canon_sha256":"3438d4c5aabc67cac8cd5e54fd02814c8409fcbb7610e85c6ff662ce0fe34533"},"schema_version":"1.0"},"canonical_sha256":"e05722df119cb7b4e101c1897080406a2b641f13ec4c2e618ea07771986377bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:54.566617Z","signature_b64":"m+wmxi8tszEUBmuc+ZWexBtcDRzpE3euqETBQXQpCDDkDwVtYwXN6yY68FsiolwqEOM34k6wiHBu4/qrfrQgCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e05722df119cb7b4e101c1897080406a2b641f13ec4c2e618ea07771986377bc","last_reissued_at":"2026-05-18T03:37:54.565680Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:54.565680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.5408","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":"2026-05-18T03:37:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6XJw8mRFZbG/x0cnc9/QzxlW4XfH9cFMNPc4Vhqm8C9ovnFUCOfyi272VcpOL06mIjh74o3eiV0pIKccYQFNAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:08:14.030104Z"},"content_sha256":"a04ddaa8ffa50b9733248b3ef9487349f84ee15913d1ca1078b79c70b48b8bea","schema_version":"1.0","event_id":"sha256:a04ddaa8ffa50b9733248b3ef9487349f84ee15913d1ca1078b79c70b48b8bea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:4BLSFXYRTS33JYIBYGEXBACANI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Metamaterials and the mathematical Science of invisibility","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph","physics.pop-ph"],"primary_cat":"physics.optics","authors_text":"Andre Diatta, Andre Nicolet, Frederic Zolla, Sebastien Guenneau","submitted_at":"2012-12-21T11:56:28Z","abstract_excerpt":"In this chapter, we review some recent developments in the field of photonics: cloaking, whereby an object becomes invisible to an observer, and mirages, whereby an object looks like another one (say, of a different shape). Such optical illusions are made possible thanks to the advent of metamaterials, which are new kinds of composites designed using the concept of transformational optics. Theoretical concepts introduced here are illustrated by finite element computations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.5408","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":"2026-05-18T03:37:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1V+NiRELCCrzeBz7gw5Y7L6gVQKutWBRY/u616+Sm+irx1KtzmKdWQtkYx+sWzT5nQmeGlHfqlMikoM9afdiCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:08:14.030475Z"},"content_sha256":"6a2685988186e67c6687181785beda73ec3633726c01ad84dfc63c05a4508703","schema_version":"1.0","event_id":"sha256:6a2685988186e67c6687181785beda73ec3633726c01ad84dfc63c05a4508703"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4BLSFXYRTS33JYIBYGEXBACANI/bundle.json","state_url":"https://pith.science/pith/4BLSFXYRTS33JYIBYGEXBACANI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4BLSFXYRTS33JYIBYGEXBACANI/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":"2026-06-03T15:08:14Z","links":{"resolver":"https://pith.science/pith/4BLSFXYRTS33JYIBYGEXBACANI","bundle":"https://pith.science/pith/4BLSFXYRTS33JYIBYGEXBACANI/bundle.json","state":"https://pith.science/pith/4BLSFXYRTS33JYIBYGEXBACANI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4BLSFXYRTS33JYIBYGEXBACANI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4BLSFXYRTS33JYIBYGEXBACANI","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":"3438d4c5aabc67cac8cd5e54fd02814c8409fcbb7610e85c6ff662ce0fe34533","cross_cats_sorted":["physics.class-ph","physics.pop-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-12-21T11:56:28Z","title_canon_sha256":"4fbfb2ed05cc2af36de8fb1eb24c4c24e128ef07b4fc0b492d5867b075984780"},"schema_version":"1.0","source":{"id":"1212.5408","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.5408","created_at":"2026-05-18T03:37:54Z"},{"alias_kind":"arxiv_version","alias_value":"1212.5408v1","created_at":"2026-05-18T03:37:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.5408","created_at":"2026-05-18T03:37:54Z"},{"alias_kind":"pith_short_12","alias_value":"4BLSFXYRTS33","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4BLSFXYRTS33JYIB","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4BLSFXYR","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:6a2685988186e67c6687181785beda73ec3633726c01ad84dfc63c05a4508703","target":"graph","created_at":"2026-05-18T03:37:54Z","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":"In this chapter, we review some recent developments in the field of photonics: cloaking, whereby an object becomes invisible to an observer, and mirages, whereby an object looks like another one (say, of a different shape). Such optical illusions are made possible thanks to the advent of metamaterials, which are new kinds of composites designed using the concept of transformational optics. Theoretical concepts introduced here are illustrated by finite element computations.","authors_text":"Andre Diatta, Andre Nicolet, Frederic Zolla, Sebastien Guenneau","cross_cats":["physics.class-ph","physics.pop-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-12-21T11:56:28Z","title":"Metamaterials and the mathematical Science of invisibility"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.5408","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:a04ddaa8ffa50b9733248b3ef9487349f84ee15913d1ca1078b79c70b48b8bea","target":"record","created_at":"2026-05-18T03:37:54Z","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":"3438d4c5aabc67cac8cd5e54fd02814c8409fcbb7610e85c6ff662ce0fe34533","cross_cats_sorted":["physics.class-ph","physics.pop-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-12-21T11:56:28Z","title_canon_sha256":"4fbfb2ed05cc2af36de8fb1eb24c4c24e128ef07b4fc0b492d5867b075984780"},"schema_version":"1.0","source":{"id":"1212.5408","kind":"arxiv","version":1}},"canonical_sha256":"e05722df119cb7b4e101c1897080406a2b641f13ec4c2e618ea07771986377bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e05722df119cb7b4e101c1897080406a2b641f13ec4c2e618ea07771986377bc","first_computed_at":"2026-05-18T03:37:54.565680Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:54.565680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m+wmxi8tszEUBmuc+ZWexBtcDRzpE3euqETBQXQpCDDkDwVtYwXN6yY68FsiolwqEOM34k6wiHBu4/qrfrQgCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:54.566617Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.5408","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a04ddaa8ffa50b9733248b3ef9487349f84ee15913d1ca1078b79c70b48b8bea","sha256:6a2685988186e67c6687181785beda73ec3633726c01ad84dfc63c05a4508703"],"state_sha256":"f3303a6b722ae9239f133eba51f68b9dad398d475fc69b676c610ea4ed1e6d8d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ApTg4QnvfiE0sm4DN8OCk8ooaHtkqXzPHSAtFt3YGIclxOhXZWrllr7iscYTjJRguOXJQEL0S/9Kjzgg0mAIAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T15:08:14.032558Z","bundle_sha256":"d8b79c721a535f7babed2e2de05ccc323a29b6546c3fc5f9a9ceb3016472b2d6"}}