{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:5YQIGWURE4BMY2BL5CRT547B47","short_pith_number":"pith:5YQIGWUR","canonical_record":{"source":{"id":"1810.08085","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-10-18T14:38:09Z","cross_cats_sorted":[],"title_canon_sha256":"1910250ad51966ab7b0e5c8b06f5fe599d15e59f39e190a8928563e54bbb0fd2","abstract_canon_sha256":"21bb586a5dd3f8014b594a4e422306b781f7d83a4b12090a6e362dace8d91b0a"},"schema_version":"1.0"},"canonical_sha256":"ee20835a912702cc682be8a33ef3e1e7ec080097d21dfe23f277d37406296a2a","source":{"kind":"arxiv","id":"1810.08085","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.08085","created_at":"2026-05-17T23:58:37Z"},{"alias_kind":"arxiv_version","alias_value":"1810.08085v1","created_at":"2026-05-17T23:58:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.08085","created_at":"2026-05-17T23:58:37Z"},{"alias_kind":"pith_short_12","alias_value":"5YQIGWURE4BM","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5YQIGWURE4BMY2BL","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5YQIGWUR","created_at":"2026-05-18T12:32:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:5YQIGWURE4BMY2BL5CRT547B47","target":"record","payload":{"canonical_record":{"source":{"id":"1810.08085","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-10-18T14:38:09Z","cross_cats_sorted":[],"title_canon_sha256":"1910250ad51966ab7b0e5c8b06f5fe599d15e59f39e190a8928563e54bbb0fd2","abstract_canon_sha256":"21bb586a5dd3f8014b594a4e422306b781f7d83a4b12090a6e362dace8d91b0a"},"schema_version":"1.0"},"canonical_sha256":"ee20835a912702cc682be8a33ef3e1e7ec080097d21dfe23f277d37406296a2a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:37.004369Z","signature_b64":"qT92+wJxbULQMgAsT7h5rKWRbigKpYkKy2M+srAYrf4yIRXMqUUnA7vLLyJTm/UiOo+8H/4L+JhlpYGnHE5eBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee20835a912702cc682be8a33ef3e1e7ec080097d21dfe23f277d37406296a2a","last_reissued_at":"2026-05-17T23:58:37.003598Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:37.003598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.08085","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":"2026-05-17T23:58:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yH2s4/NaOJDHNji/6RJ7pYZk3iNb8ZMBOhaNZzXZaxBywEBioBwNHEaMX5FfKmLFiEqQMLtgGaV63uAnGNH1Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T04:11:13.393654Z"},"content_sha256":"cbfddd5b5423f773af8f8a3232783b5dc26252ba27ab2354f9342d000f5acb40","schema_version":"1.0","event_id":"sha256:cbfddd5b5423f773af8f8a3232783b5dc26252ba27ab2354f9342d000f5acb40"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:5YQIGWURE4BMY2BL5CRT547B47","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classical and quantum aspects of electric-magnetic duality rotations in curved spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Adrian del Rio, Ivan Agullo, Jose Navarro-Salas","submitted_at":"2018-10-18T14:38:09Z","abstract_excerpt":"It is well known that the source-free Maxwell equations are invariant under electric-magnetic duality rotations, F --> F cos {\\theta} + *F sin {\\theta}. These transformations are indeed a symmetry of the theory in Noether sense. The associated constant of motion is the difference in the intensity between self- and anti-self dual components of the electromagnetic field or, equivalently, the difference between the right and left circularly polarized components. This conservation law holds even if the electromagnetic field interacts with an arbitrary classical gravitational background. After re-e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.08085","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":"2026-05-17T23:58:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gaQBK6wBDaA73ZQ3bqvxZOn0JUz8PTGpBCMh5hBGiPjrPanE+VD2KkvBOok0J+n6CkSRlgF0hAyEvkJCy/f8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T04:11:13.394007Z"},"content_sha256":"aa0fe489b84adee343e54124a5d452377577fa9d3c043a06cc83a2f19c648c52","schema_version":"1.0","event_id":"sha256:aa0fe489b84adee343e54124a5d452377577fa9d3c043a06cc83a2f19c648c52"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5YQIGWURE4BMY2BL5CRT547B47/bundle.json","state_url":"https://pith.science/pith/5YQIGWURE4BMY2BL5CRT547B47/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5YQIGWURE4BMY2BL5CRT547B47/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":"2026-06-20T04:11:13Z","links":{"resolver":"https://pith.science/pith/5YQIGWURE4BMY2BL5CRT547B47","bundle":"https://pith.science/pith/5YQIGWURE4BMY2BL5CRT547B47/bundle.json","state":"https://pith.science/pith/5YQIGWURE4BMY2BL5CRT547B47/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5YQIGWURE4BMY2BL5CRT547B47/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5YQIGWURE4BMY2BL5CRT547B47","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":"21bb586a5dd3f8014b594a4e422306b781f7d83a4b12090a6e362dace8d91b0a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-10-18T14:38:09Z","title_canon_sha256":"1910250ad51966ab7b0e5c8b06f5fe599d15e59f39e190a8928563e54bbb0fd2"},"schema_version":"1.0","source":{"id":"1810.08085","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.08085","created_at":"2026-05-17T23:58:37Z"},{"alias_kind":"arxiv_version","alias_value":"1810.08085v1","created_at":"2026-05-17T23:58:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.08085","created_at":"2026-05-17T23:58:37Z"},{"alias_kind":"pith_short_12","alias_value":"5YQIGWURE4BM","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5YQIGWURE4BMY2BL","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5YQIGWUR","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:aa0fe489b84adee343e54124a5d452377577fa9d3c043a06cc83a2f19c648c52","target":"graph","created_at":"2026-05-17T23:58:37Z","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":"It is well known that the source-free Maxwell equations are invariant under electric-magnetic duality rotations, F --> F cos {\\theta} + *F sin {\\theta}. These transformations are indeed a symmetry of the theory in Noether sense. The associated constant of motion is the difference in the intensity between self- and anti-self dual components of the electromagnetic field or, equivalently, the difference between the right and left circularly polarized components. This conservation law holds even if the electromagnetic field interacts with an arbitrary classical gravitational background. After re-e","authors_text":"Adrian del Rio, Ivan Agullo, Jose Navarro-Salas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-10-18T14:38:09Z","title":"Classical and quantum aspects of electric-magnetic duality rotations in curved spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.08085","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:cbfddd5b5423f773af8f8a3232783b5dc26252ba27ab2354f9342d000f5acb40","target":"record","created_at":"2026-05-17T23:58:37Z","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":"21bb586a5dd3f8014b594a4e422306b781f7d83a4b12090a6e362dace8d91b0a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-10-18T14:38:09Z","title_canon_sha256":"1910250ad51966ab7b0e5c8b06f5fe599d15e59f39e190a8928563e54bbb0fd2"},"schema_version":"1.0","source":{"id":"1810.08085","kind":"arxiv","version":1}},"canonical_sha256":"ee20835a912702cc682be8a33ef3e1e7ec080097d21dfe23f277d37406296a2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee20835a912702cc682be8a33ef3e1e7ec080097d21dfe23f277d37406296a2a","first_computed_at":"2026-05-17T23:58:37.003598Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:37.003598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qT92+wJxbULQMgAsT7h5rKWRbigKpYkKy2M+srAYrf4yIRXMqUUnA7vLLyJTm/UiOo+8H/4L+JhlpYGnHE5eBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:37.004369Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.08085","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cbfddd5b5423f773af8f8a3232783b5dc26252ba27ab2354f9342d000f5acb40","sha256:aa0fe489b84adee343e54124a5d452377577fa9d3c043a06cc83a2f19c648c52"],"state_sha256":"7a6681bf52162114538e4f6e4f467a1a12b22eff227b156b7eb72bc422683e99"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nRelumR9i4usSg5DYV/2XtTLiYihnO4cGK3F+aUsUQSXEt2W7MGLN3+C8dauwVgick68SKSgXf/Y3IQ6hqKVAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T04:11:13.395887Z","bundle_sha256":"4667a5ba7dd4b94343ad25bb9fbb20b6c296507b94b065a7ced495ea228009e7"}}