{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:OMRJ4NBTVNULE762IYJWW2SWAH","short_pith_number":"pith:OMRJ4NBT","canonical_record":{"source":{"id":"2210.12890","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-10-24T00:13:03Z","cross_cats_sorted":[],"title_canon_sha256":"4a9b8456843d4588f0b2aa7ead3b89be6c762e573403458f1152c4bc2fa63d08","abstract_canon_sha256":"555a437c95e572f0ca7c6def5cd465593b43c9d34a332f30903d5b800c7b3e7f"},"schema_version":"1.0"},"canonical_sha256":"73229e3433ab68b27fda46136b6a5601dfa11c9d1e3fdb54f0310591bd23766f","source":{"kind":"arxiv","id":"2210.12890","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.12890","created_at":"2026-07-05T10:45:02Z"},{"alias_kind":"arxiv_version","alias_value":"2210.12890v3","created_at":"2026-07-05T10:45:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.12890","created_at":"2026-07-05T10:45:02Z"},{"alias_kind":"pith_short_12","alias_value":"OMRJ4NBTVNUL","created_at":"2026-07-05T10:45:02Z"},{"alias_kind":"pith_short_16","alias_value":"OMRJ4NBTVNULE762","created_at":"2026-07-05T10:45:02Z"},{"alias_kind":"pith_short_8","alias_value":"OMRJ4NBT","created_at":"2026-07-05T10:45:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:OMRJ4NBTVNULE762IYJWW2SWAH","target":"record","payload":{"canonical_record":{"source":{"id":"2210.12890","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-10-24T00:13:03Z","cross_cats_sorted":[],"title_canon_sha256":"4a9b8456843d4588f0b2aa7ead3b89be6c762e573403458f1152c4bc2fa63d08","abstract_canon_sha256":"555a437c95e572f0ca7c6def5cd465593b43c9d34a332f30903d5b800c7b3e7f"},"schema_version":"1.0"},"canonical_sha256":"73229e3433ab68b27fda46136b6a5601dfa11c9d1e3fdb54f0310591bd23766f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:45:02.546419Z","signature_b64":"Yv9dcOZDHiSMY/JYtbVcI3JZg58n93eLv9hRxcZTqqvZkxVbGNwJaoYCfxhHxduRkIyejxwHQjI+o0jp+IovDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73229e3433ab68b27fda46136b6a5601dfa11c9d1e3fdb54f0310591bd23766f","last_reissued_at":"2026-07-05T10:45:02.545909Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:45:02.545909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.12890","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:45:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GsKJBUP9eDCqnokd4cmwOmw2g6TeMMQCEAfpirL5TMCOiXfGBVcVfWIT6Isv+oF2oASr5pvRQweXK5sWei5FBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T06:21:10.028572Z"},"content_sha256":"b1e9e515fe998cad6d6b3602731d49b7e4b39c01b3345284549077ac50b54676","schema_version":"1.0","event_id":"sha256:b1e9e515fe998cad6d6b3602731d49b7e4b39c01b3345284549077ac50b54676"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:OMRJ4NBTVNULE762IYJWW2SWAH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"3+1 formulation of light modes in nonlinear electrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Chul Min Kim, Sang Pyo Kim","submitted_at":"2022-10-24T00:13:03Z","abstract_excerpt":"We present a 3+1 formulation of the light modes in nonlinear electrodynamics described by Plebanski-type Lagrangians, which include Post-Maxwellian, Born-Infeld, ModMax, and Heisenberg-Euler-Schwinger QED Lagrangians. In nonlinear electrodynamics, strong electromagnetic fields modify the vacuum to acquire optical properties. Such a field-modified vacuum can possess electric permittivity, magnetic permeability, and magneto-electric response, inducing novel phenomena like vacuum birefringence. By exploiting the mathematical structures of Plebanski-type Lagrangians, we obtain a streamlined proced"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.12890","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2210.12890/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T10:45:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rwGQWp/TzGxrIiSVtQpBxSWm5P4C71vZk/ILmC/67buULMT3yVeda6RoGwYmgsVFXV7KFm8+/uP/vxibo/UXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T06:21:10.029281Z"},"content_sha256":"b73ef7d8273229d7bd59e06f31e9955ce5bef7ceb09c88f9adb072012b9acbc4","schema_version":"1.0","event_id":"sha256:b73ef7d8273229d7bd59e06f31e9955ce5bef7ceb09c88f9adb072012b9acbc4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OMRJ4NBTVNULE762IYJWW2SWAH/bundle.json","state_url":"https://pith.science/pith/OMRJ4NBTVNULE762IYJWW2SWAH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OMRJ4NBTVNULE762IYJWW2SWAH/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":"2026-08-06T06:21:10Z","links":{"resolver":"https://pith.science/pith/OMRJ4NBTVNULE762IYJWW2SWAH","bundle":"https://pith.science/pith/OMRJ4NBTVNULE762IYJWW2SWAH/bundle.json","state":"https://pith.science/pith/OMRJ4NBTVNULE762IYJWW2SWAH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OMRJ4NBTVNULE762IYJWW2SWAH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:OMRJ4NBTVNULE762IYJWW2SWAH","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":"555a437c95e572f0ca7c6def5cd465593b43c9d34a332f30903d5b800c7b3e7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-10-24T00:13:03Z","title_canon_sha256":"4a9b8456843d4588f0b2aa7ead3b89be6c762e573403458f1152c4bc2fa63d08"},"schema_version":"1.0","source":{"id":"2210.12890","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.12890","created_at":"2026-07-05T10:45:02Z"},{"alias_kind":"arxiv_version","alias_value":"2210.12890v3","created_at":"2026-07-05T10:45:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.12890","created_at":"2026-07-05T10:45:02Z"},{"alias_kind":"pith_short_12","alias_value":"OMRJ4NBTVNUL","created_at":"2026-07-05T10:45:02Z"},{"alias_kind":"pith_short_16","alias_value":"OMRJ4NBTVNULE762","created_at":"2026-07-05T10:45:02Z"},{"alias_kind":"pith_short_8","alias_value":"OMRJ4NBT","created_at":"2026-07-05T10:45:02Z"}],"graph_snapshots":[{"event_id":"sha256:b73ef7d8273229d7bd59e06f31e9955ce5bef7ceb09c88f9adb072012b9acbc4","target":"graph","created_at":"2026-07-05T10:45:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2210.12890/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a 3+1 formulation of the light modes in nonlinear electrodynamics described by Plebanski-type Lagrangians, which include Post-Maxwellian, Born-Infeld, ModMax, and Heisenberg-Euler-Schwinger QED Lagrangians. In nonlinear electrodynamics, strong electromagnetic fields modify the vacuum to acquire optical properties. Such a field-modified vacuum can possess electric permittivity, magnetic permeability, and magneto-electric response, inducing novel phenomena like vacuum birefringence. By exploiting the mathematical structures of Plebanski-type Lagrangians, we obtain a streamlined proced","authors_text":"Chul Min Kim, Sang Pyo Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-10-24T00:13:03Z","title":"3+1 formulation of light modes in nonlinear electrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.12890","kind":"arxiv","version":3},"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:b1e9e515fe998cad6d6b3602731d49b7e4b39c01b3345284549077ac50b54676","target":"record","created_at":"2026-07-05T10:45:02Z","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":"555a437c95e572f0ca7c6def5cd465593b43c9d34a332f30903d5b800c7b3e7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-10-24T00:13:03Z","title_canon_sha256":"4a9b8456843d4588f0b2aa7ead3b89be6c762e573403458f1152c4bc2fa63d08"},"schema_version":"1.0","source":{"id":"2210.12890","kind":"arxiv","version":3}},"canonical_sha256":"73229e3433ab68b27fda46136b6a5601dfa11c9d1e3fdb54f0310591bd23766f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73229e3433ab68b27fda46136b6a5601dfa11c9d1e3fdb54f0310591bd23766f","first_computed_at":"2026-07-05T10:45:02.545909Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:45:02.545909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yv9dcOZDHiSMY/JYtbVcI3JZg58n93eLv9hRxcZTqqvZkxVbGNwJaoYCfxhHxduRkIyejxwHQjI+o0jp+IovDg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:45:02.546419Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.12890","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1e9e515fe998cad6d6b3602731d49b7e4b39c01b3345284549077ac50b54676","sha256:b73ef7d8273229d7bd59e06f31e9955ce5bef7ceb09c88f9adb072012b9acbc4"],"state_sha256":"ea101152199fd595bf70714890724ff6a078b4fef6a717ccc24212cc7f17a41f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RomnIHakdzJ8kOBUlrC8gigkq8XR042qVifloLyKD6YDQIfZpYcQGF5uChmSQqc1ZKYSXbNSdQdIW4RWbTJ/Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T06:21:10.033198Z","bundle_sha256":"7222baad7ef09c802d59cfc515235683dff737a728d673ca3f787aec52a447dc"}}