{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:L7Q7ZA5Q7I5JW4F2V3SNZHVST7","short_pith_number":"pith:L7Q7ZA5Q","canonical_record":{"source":{"id":"1703.03458","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2017-03-09T20:46:24Z","cross_cats_sorted":["gr-qc","nlin.SI","physics.optics"],"title_canon_sha256":"cacb3db9875b6bae8721333830cea339e13952864665d7b5fcec36fe7bb030d0","abstract_canon_sha256":"8acb69a0c615ba2a24431262406d20d1b00d6fc40ad590c5a8e23ab9a73474db"},"schema_version":"1.0"},"canonical_sha256":"5fe1fc83b0fa3a9b70baaee4dc9eb29fda0831bb78822dc52cd8adebf4cc6c12","source":{"kind":"arxiv","id":"1703.03458","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03458","created_at":"2026-05-18T00:48:59Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03458v1","created_at":"2026-05-18T00:48:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03458","created_at":"2026-05-18T00:48:59Z"},{"alias_kind":"pith_short_12","alias_value":"L7Q7ZA5Q7I5J","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L7Q7ZA5Q7I5JW4F2","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L7Q7ZA5Q","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:L7Q7ZA5Q7I5JW4F2V3SNZHVST7","target":"record","payload":{"canonical_record":{"source":{"id":"1703.03458","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2017-03-09T20:46:24Z","cross_cats_sorted":["gr-qc","nlin.SI","physics.optics"],"title_canon_sha256":"cacb3db9875b6bae8721333830cea339e13952864665d7b5fcec36fe7bb030d0","abstract_canon_sha256":"8acb69a0c615ba2a24431262406d20d1b00d6fc40ad590c5a8e23ab9a73474db"},"schema_version":"1.0"},"canonical_sha256":"5fe1fc83b0fa3a9b70baaee4dc9eb29fda0831bb78822dc52cd8adebf4cc6c12","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:59.042223Z","signature_b64":"w8J4nlTLyqOJOb2FHtXh8pgPph4k53AyfaokDS4zIcJ7HxA5y9y/AoZFvbl6sDEi1PwNGx7i4LQamUR6zM7uBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fe1fc83b0fa3a9b70baaee4dc9eb29fda0831bb78822dc52cd8adebf4cc6c12","last_reissued_at":"2026-05-18T00:48:59.041434Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:59.041434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.03458","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":"2026-05-18T00:48:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vlV/5ML80ESq7Wes2kRB+kBa3OPQC0lvRQCiUuz/Az3qnSmpJLqpgqy99S7sc97bDFwsau1TWENTaRrRe3lqDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:26:10.068544Z"},"content_sha256":"86a49b062dac8f1369dda3cd99b4b8de49f4cc5b0ad88a8664bbb5939a8e06ea","schema_version":"1.0","event_id":"sha256:86a49b062dac8f1369dda3cd99b4b8de49f4cc5b0ad88a8664bbb5939a8e06ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:L7Q7ZA5Q7I5JW4F2V3SNZHVST7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Unified Approach to Nonlinear Transformation Materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","nlin.SI","physics.optics"],"primary_cat":"cond-mat.other","authors_text":"Baowen Li, Sophia R. Sklan","submitted_at":"2017-03-09T20:46:24Z","abstract_excerpt":"The advances in geometric approaches to optical devices due to transformation optics has led to the development of cloaks, concentrators, and other devices. It has also been shown that transformation optics can be used to gravitational fields from general relativity. However, the technique is currently constrained to linear devices, as a consistent approach to nonlinearity (including both the case of a nonlinear background medium and a nonlinear transformation) remains an open question. Here we show that nonlinearity can be incorporated into transformation optics in a consistent way. We use th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03458","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":"2026-05-18T00:48:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yqk5RF31q2ve859MpVBNHLUQfmNvf4PrHZxZDmQSMLNwPo+x0AXeGAKoeDheUm83eUCW1cvcWNdczGZw614VAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:26:10.069077Z"},"content_sha256":"d326cdea53018b9c2721ee49af66d87d653d580fd7d2b9667c395ae6ae5220c4","schema_version":"1.0","event_id":"sha256:d326cdea53018b9c2721ee49af66d87d653d580fd7d2b9667c395ae6ae5220c4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L7Q7ZA5Q7I5JW4F2V3SNZHVST7/bundle.json","state_url":"https://pith.science/pith/L7Q7ZA5Q7I5JW4F2V3SNZHVST7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L7Q7ZA5Q7I5JW4F2V3SNZHVST7/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":"2026-05-31T05:26:10Z","links":{"resolver":"https://pith.science/pith/L7Q7ZA5Q7I5JW4F2V3SNZHVST7","bundle":"https://pith.science/pith/L7Q7ZA5Q7I5JW4F2V3SNZHVST7/bundle.json","state":"https://pith.science/pith/L7Q7ZA5Q7I5JW4F2V3SNZHVST7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L7Q7ZA5Q7I5JW4F2V3SNZHVST7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:L7Q7ZA5Q7I5JW4F2V3SNZHVST7","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":"8acb69a0c615ba2a24431262406d20d1b00d6fc40ad590c5a8e23ab9a73474db","cross_cats_sorted":["gr-qc","nlin.SI","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2017-03-09T20:46:24Z","title_canon_sha256":"cacb3db9875b6bae8721333830cea339e13952864665d7b5fcec36fe7bb030d0"},"schema_version":"1.0","source":{"id":"1703.03458","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03458","created_at":"2026-05-18T00:48:59Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03458v1","created_at":"2026-05-18T00:48:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03458","created_at":"2026-05-18T00:48:59Z"},{"alias_kind":"pith_short_12","alias_value":"L7Q7ZA5Q7I5J","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L7Q7ZA5Q7I5JW4F2","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L7Q7ZA5Q","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:d326cdea53018b9c2721ee49af66d87d653d580fd7d2b9667c395ae6ae5220c4","target":"graph","created_at":"2026-05-18T00:48:59Z","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 advances in geometric approaches to optical devices due to transformation optics has led to the development of cloaks, concentrators, and other devices. It has also been shown that transformation optics can be used to gravitational fields from general relativity. However, the technique is currently constrained to linear devices, as a consistent approach to nonlinearity (including both the case of a nonlinear background medium and a nonlinear transformation) remains an open question. Here we show that nonlinearity can be incorporated into transformation optics in a consistent way. We use th","authors_text":"Baowen Li, Sophia R. Sklan","cross_cats":["gr-qc","nlin.SI","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2017-03-09T20:46:24Z","title":"A Unified Approach to Nonlinear Transformation Materials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03458","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":"sha256:86a49b062dac8f1369dda3cd99b4b8de49f4cc5b0ad88a8664bbb5939a8e06ea","target":"record","created_at":"2026-05-18T00:48:59Z","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":"8acb69a0c615ba2a24431262406d20d1b00d6fc40ad590c5a8e23ab9a73474db","cross_cats_sorted":["gr-qc","nlin.SI","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2017-03-09T20:46:24Z","title_canon_sha256":"cacb3db9875b6bae8721333830cea339e13952864665d7b5fcec36fe7bb030d0"},"schema_version":"1.0","source":{"id":"1703.03458","kind":"arxiv","version":1}},"canonical_sha256":"5fe1fc83b0fa3a9b70baaee4dc9eb29fda0831bb78822dc52cd8adebf4cc6c12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fe1fc83b0fa3a9b70baaee4dc9eb29fda0831bb78822dc52cd8adebf4cc6c12","first_computed_at":"2026-05-18T00:48:59.041434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:59.041434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w8J4nlTLyqOJOb2FHtXh8pgPph4k53AyfaokDS4zIcJ7HxA5y9y/AoZFvbl6sDEi1PwNGx7i4LQamUR6zM7uBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:59.042223Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03458","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86a49b062dac8f1369dda3cd99b4b8de49f4cc5b0ad88a8664bbb5939a8e06ea","sha256:d326cdea53018b9c2721ee49af66d87d653d580fd7d2b9667c395ae6ae5220c4"],"state_sha256":"1a4fe4cbb2544816a1a7819cfbe72897cf1b62b4804877e5a04050b8bbb70085"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1yG/doRkfqIRkIEz9Ck/F2IdAZitx9JZFRDeObCrzR4NLsCYgOnpTG9WegksXTldPp4hm94ox7a4lryYFZVyBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T05:26:10.072502Z","bundle_sha256":"d50f1ab86f9fc9a3a4cc2c780f3ace7eb56a53c51cb1e79a50a6c7c84af2a5c2"}}