{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ONYV5LP4HJ2IIWGICK2LQBH3CD","short_pith_number":"pith:ONYV5LP4","canonical_record":{"source":{"id":"1402.5527","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2014-02-22T17:02:34Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"9dde927487d558b0937e2caaf1cb18ea3a454e9c64e740dad18975b74e7aea8d","abstract_canon_sha256":"38fbed373bd47305a9e93bb8f50ee4791416b50f0a66fa4301d019dc3d742025"},"schema_version":"1.0"},"canonical_sha256":"73715eadfc3a748458c812b4b804fb10ebaee91e6ffb83ea787654795f623374","source":{"kind":"arxiv","id":"1402.5527","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5527","created_at":"2026-05-18T02:58:20Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5527v1","created_at":"2026-05-18T02:58:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5527","created_at":"2026-05-18T02:58:20Z"},{"alias_kind":"pith_short_12","alias_value":"ONYV5LP4HJ2I","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"ONYV5LP4HJ2IIWGI","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"ONYV5LP4","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ONYV5LP4HJ2IIWGICK2LQBH3CD","target":"record","payload":{"canonical_record":{"source":{"id":"1402.5527","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2014-02-22T17:02:34Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"9dde927487d558b0937e2caaf1cb18ea3a454e9c64e740dad18975b74e7aea8d","abstract_canon_sha256":"38fbed373bd47305a9e93bb8f50ee4791416b50f0a66fa4301d019dc3d742025"},"schema_version":"1.0"},"canonical_sha256":"73715eadfc3a748458c812b4b804fb10ebaee91e6ffb83ea787654795f623374","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:20.875609Z","signature_b64":"yNtIDTW4aAO0BvPmHnmYvf4UWeK1FkyAMmVSuJH6A3rLjF+Uh0z3QKob++puBPnG1xpXqrhPEwU+rge2xpbdAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73715eadfc3a748458c812b4b804fb10ebaee91e6ffb83ea787654795f623374","last_reissued_at":"2026-05-18T02:58:20.875048Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:20.875048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.5527","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":"2026-05-18T02:58:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZP/Bskp8hQcxCvuNJwYA3aXxSmfpIc1jecfKXfD2PU8J6OJLqbTMEVJkpw7iiE/rvN1j/kGoUzz+KM5RRoZDAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:48:28.919812Z"},"content_sha256":"4a0506697e00c6a3775126fbd99040c32b9e4b76186aa96afeba73afc13b77cb","schema_version":"1.0","event_id":"sha256:4a0506697e00c6a3775126fbd99040c32b9e4b76186aa96afeba73afc13b77cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ONYV5LP4HJ2IIWGICK2LQBH3CD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The simplest geometrization of Maxwell's equations","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A. V. Korolkova, D. S. Kulyabov, L. A. Sevastyanov","submitted_at":"2014-02-22T17:02:34Z","abstract_excerpt":"For research in the field of transformation optics and for the calculation of optically inhomogeneous lenses the method of geometrization of the Maxwell equations seems to be perspective. The basic idea is to transform the coefficients of material equations, namely the dielectric permittivity and magnetic permeability in the effective geometry of space-time (besides the vacuum Maxwell equations). This allows us to solve the direct and inverse problems, that is, to find the permittivity and magnetic permeability for a given effective geometry (paths of rays), as well as finding an effective geo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5527","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":"2026-05-18T02:58:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"++xtwjo+FdnK/JFRSnzRWM1TifB5kfB9pfmbQknAVirBu13JjeKNA+4g4WhM/Ro2bCDV1VLSPmDp+DIfmLE+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:48:28.920162Z"},"content_sha256":"794f32c818c1951527cd3766b22ac5461735b15923db483011a66bd280e080e6","schema_version":"1.0","event_id":"sha256:794f32c818c1951527cd3766b22ac5461735b15923db483011a66bd280e080e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ONYV5LP4HJ2IIWGICK2LQBH3CD/bundle.json","state_url":"https://pith.science/pith/ONYV5LP4HJ2IIWGICK2LQBH3CD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ONYV5LP4HJ2IIWGICK2LQBH3CD/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":"2026-06-03T22:48:28Z","links":{"resolver":"https://pith.science/pith/ONYV5LP4HJ2IIWGICK2LQBH3CD","bundle":"https://pith.science/pith/ONYV5LP4HJ2IIWGICK2LQBH3CD/bundle.json","state":"https://pith.science/pith/ONYV5LP4HJ2IIWGICK2LQBH3CD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ONYV5LP4HJ2IIWGICK2LQBH3CD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ONYV5LP4HJ2IIWGICK2LQBH3CD","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":"38fbed373bd47305a9e93bb8f50ee4791416b50f0a66fa4301d019dc3d742025","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2014-02-22T17:02:34Z","title_canon_sha256":"9dde927487d558b0937e2caaf1cb18ea3a454e9c64e740dad18975b74e7aea8d"},"schema_version":"1.0","source":{"id":"1402.5527","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5527","created_at":"2026-05-18T02:58:20Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5527v1","created_at":"2026-05-18T02:58:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5527","created_at":"2026-05-18T02:58:20Z"},{"alias_kind":"pith_short_12","alias_value":"ONYV5LP4HJ2I","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"ONYV5LP4HJ2IIWGI","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"ONYV5LP4","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:794f32c818c1951527cd3766b22ac5461735b15923db483011a66bd280e080e6","target":"graph","created_at":"2026-05-18T02:58:20Z","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":"For research in the field of transformation optics and for the calculation of optically inhomogeneous lenses the method of geometrization of the Maxwell equations seems to be perspective. The basic idea is to transform the coefficients of material equations, namely the dielectric permittivity and magnetic permeability in the effective geometry of space-time (besides the vacuum Maxwell equations). This allows us to solve the direct and inverse problems, that is, to find the permittivity and magnetic permeability for a given effective geometry (paths of rays), as well as finding an effective geo","authors_text":"A. V. Korolkova, D. S. Kulyabov, L. A. Sevastyanov","cross_cats":["math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2014-02-22T17:02:34Z","title":"The simplest geometrization of Maxwell's equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5527","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":"sha256:4a0506697e00c6a3775126fbd99040c32b9e4b76186aa96afeba73afc13b77cb","target":"record","created_at":"2026-05-18T02:58:20Z","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":"38fbed373bd47305a9e93bb8f50ee4791416b50f0a66fa4301d019dc3d742025","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2014-02-22T17:02:34Z","title_canon_sha256":"9dde927487d558b0937e2caaf1cb18ea3a454e9c64e740dad18975b74e7aea8d"},"schema_version":"1.0","source":{"id":"1402.5527","kind":"arxiv","version":1}},"canonical_sha256":"73715eadfc3a748458c812b4b804fb10ebaee91e6ffb83ea787654795f623374","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73715eadfc3a748458c812b4b804fb10ebaee91e6ffb83ea787654795f623374","first_computed_at":"2026-05-18T02:58:20.875048Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:20.875048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yNtIDTW4aAO0BvPmHnmYvf4UWeK1FkyAMmVSuJH6A3rLjF+Uh0z3QKob++puBPnG1xpXqrhPEwU+rge2xpbdAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:20.875609Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.5527","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a0506697e00c6a3775126fbd99040c32b9e4b76186aa96afeba73afc13b77cb","sha256:794f32c818c1951527cd3766b22ac5461735b15923db483011a66bd280e080e6"],"state_sha256":"8dcf6cfa036dd92bd4911bd5ba48566e4abea057484831d6254d51c841212059"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"exshsINIUzCesLdFmNnj0m3KUT7gnFYAbD1JlGs5sg6kLinVSzYB8wImorFgG+CE0XHOY3+kC6WIaC4uDEVvDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T22:48:28.922143Z","bundle_sha256":"f51af4d69720aeb8e701982ae3b3b7c8a93243f6b03169905081169760743c20"}}