{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:YRN2VJK6L4AWRXDIL4BW7WMWLT","short_pith_number":"pith:YRN2VJK6","canonical_record":{"source":{"id":"0906.4491","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2009-06-24T14:44:47Z","cross_cats_sorted":[],"title_canon_sha256":"9463c650ce2a1d68250ebde1a9406846d90066514f4fcf66009a46368c547890","abstract_canon_sha256":"319101019e2040e20f6a771ec0819edaefc7ed1ba457db721b5d5c96c7f89531"},"schema_version":"1.0"},"canonical_sha256":"c45baaa55e5f0168dc685f036fd9965cc69ab2780a0779ff934b5cce3f2e6b84","source":{"kind":"arxiv","id":"0906.4491","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.4491","created_at":"2026-05-18T02:49:52Z"},{"alias_kind":"arxiv_version","alias_value":"0906.4491v1","created_at":"2026-05-18T02:49:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.4491","created_at":"2026-05-18T02:49:52Z"},{"alias_kind":"pith_short_12","alias_value":"YRN2VJK6L4AW","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"YRN2VJK6L4AWRXDI","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"YRN2VJK6","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:YRN2VJK6L4AWRXDIL4BW7WMWLT","target":"record","payload":{"canonical_record":{"source":{"id":"0906.4491","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2009-06-24T14:44:47Z","cross_cats_sorted":[],"title_canon_sha256":"9463c650ce2a1d68250ebde1a9406846d90066514f4fcf66009a46368c547890","abstract_canon_sha256":"319101019e2040e20f6a771ec0819edaefc7ed1ba457db721b5d5c96c7f89531"},"schema_version":"1.0"},"canonical_sha256":"c45baaa55e5f0168dc685f036fd9965cc69ab2780a0779ff934b5cce3f2e6b84","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:52.521578Z","signature_b64":"rVfOBMz9WZUiKlU2QjBmaerqiDuvJ5Br2w6VF9LszYI1z+H+2XxLNpd/8sZls2r3kONm7zyhyifPsjYbO6MyCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c45baaa55e5f0168dc685f036fd9965cc69ab2780a0779ff934b5cce3f2e6b84","last_reissued_at":"2026-05-18T02:49:52.521124Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:52.521124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.4491","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":"2026-05-18T02:49:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sMFgKLxm7EJ3AcscAwEaXXFyfvSEmymcx/rlkWejbMVarcPFcNKxCuuCPqnlNBkIz7P5E0A+vOIfScgYhqJPCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:43:01.544404Z"},"content_sha256":"808fe00819112c8182452158a449307bd623fa866d3b99186481562e215ed531","schema_version":"1.0","event_id":"sha256:808fe00819112c8182452158a449307bd623fa866d3b99186481562e215ed531"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:YRN2VJK6L4AWRXDIL4BW7WMWLT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Euclidean cloaking for light waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Che Ting Chan, Huanyang Chen, Tomas Tyc, Ulf Leonhardt","submitted_at":"2009-06-24T14:44:47Z","abstract_excerpt":"Non-Euclidean geometry combined with transformation optics has recently led to the proposal of an invisibility cloak that avoids optical singularities and therefore can work, in principle, in a broad band of the spectrum [U. Leonhardt and T. Tyc, Science 323, 110 (2009)]. Such a cloak is perfect in the limit of geometrical optics, but not in wave optics. Here we analyze, both analytically and numerically, full wave propagation in non-Euclidean cloaking. We show that the cloaking device performs remarkably well even in a regime beyond geometrical optics where the device is comparable in size wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.4491","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":"2026-05-18T02:49:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rllLh/T0tIxttLnwPv1X0/I0qzB1Y35z0MUzZqJ4xwzHhOEnTgK8t5/QrfpiARV4jkXehycC7ddmQcH6bAWnDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:43:01.545076Z"},"content_sha256":"e078bb608e74cec34e0c83bd737cbc50dabd27a3ffa50ef81da5af68c648b854","schema_version":"1.0","event_id":"sha256:e078bb608e74cec34e0c83bd737cbc50dabd27a3ffa50ef81da5af68c648b854"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YRN2VJK6L4AWRXDIL4BW7WMWLT/bundle.json","state_url":"https://pith.science/pith/YRN2VJK6L4AWRXDIL4BW7WMWLT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YRN2VJK6L4AWRXDIL4BW7WMWLT/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":"2026-05-25T17:43:01Z","links":{"resolver":"https://pith.science/pith/YRN2VJK6L4AWRXDIL4BW7WMWLT","bundle":"https://pith.science/pith/YRN2VJK6L4AWRXDIL4BW7WMWLT/bundle.json","state":"https://pith.science/pith/YRN2VJK6L4AWRXDIL4BW7WMWLT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YRN2VJK6L4AWRXDIL4BW7WMWLT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:YRN2VJK6L4AWRXDIL4BW7WMWLT","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":"319101019e2040e20f6a771ec0819edaefc7ed1ba457db721b5d5c96c7f89531","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2009-06-24T14:44:47Z","title_canon_sha256":"9463c650ce2a1d68250ebde1a9406846d90066514f4fcf66009a46368c547890"},"schema_version":"1.0","source":{"id":"0906.4491","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.4491","created_at":"2026-05-18T02:49:52Z"},{"alias_kind":"arxiv_version","alias_value":"0906.4491v1","created_at":"2026-05-18T02:49:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.4491","created_at":"2026-05-18T02:49:52Z"},{"alias_kind":"pith_short_12","alias_value":"YRN2VJK6L4AW","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"YRN2VJK6L4AWRXDI","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"YRN2VJK6","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:e078bb608e74cec34e0c83bd737cbc50dabd27a3ffa50ef81da5af68c648b854","target":"graph","created_at":"2026-05-18T02:49:52Z","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":"Non-Euclidean geometry combined with transformation optics has recently led to the proposal of an invisibility cloak that avoids optical singularities and therefore can work, in principle, in a broad band of the spectrum [U. Leonhardt and T. Tyc, Science 323, 110 (2009)]. Such a cloak is perfect in the limit of geometrical optics, but not in wave optics. Here we analyze, both analytically and numerically, full wave propagation in non-Euclidean cloaking. We show that the cloaking device performs remarkably well even in a regime beyond geometrical optics where the device is comparable in size wi","authors_text":"Che Ting Chan, Huanyang Chen, Tomas Tyc, Ulf Leonhardt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2009-06-24T14:44:47Z","title":"Non-Euclidean cloaking for light waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.4491","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":"sha256:808fe00819112c8182452158a449307bd623fa866d3b99186481562e215ed531","target":"record","created_at":"2026-05-18T02:49:52Z","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":"319101019e2040e20f6a771ec0819edaefc7ed1ba457db721b5d5c96c7f89531","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2009-06-24T14:44:47Z","title_canon_sha256":"9463c650ce2a1d68250ebde1a9406846d90066514f4fcf66009a46368c547890"},"schema_version":"1.0","source":{"id":"0906.4491","kind":"arxiv","version":1}},"canonical_sha256":"c45baaa55e5f0168dc685f036fd9965cc69ab2780a0779ff934b5cce3f2e6b84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c45baaa55e5f0168dc685f036fd9965cc69ab2780a0779ff934b5cce3f2e6b84","first_computed_at":"2026-05-18T02:49:52.521124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:52.521124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rVfOBMz9WZUiKlU2QjBmaerqiDuvJ5Br2w6VF9LszYI1z+H+2XxLNpd/8sZls2r3kONm7zyhyifPsjYbO6MyCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:52.521578Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.4491","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:808fe00819112c8182452158a449307bd623fa866d3b99186481562e215ed531","sha256:e078bb608e74cec34e0c83bd737cbc50dabd27a3ffa50ef81da5af68c648b854"],"state_sha256":"3e3f52d01215daeb4b9c72b6629a1540ca1b8e17d43ded492d5a63604eb50e59"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ed+ytkw/vd8oGjymzAsE8n2VhMawMeMx6DUad+PLZsRS2+Tmmz7thZrJ/nXeeo/SJ+Zz9CfQbCKWTmAZW3nADw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:43:01.548111Z","bundle_sha256":"132c4f99c0739fa4326bc89c7d2a69ceea022329f0d5705ff7a0459787a87744"}}