{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:KVGNEG6W43MJDA2SKOQOF47SQI","short_pith_number":"pith:KVGNEG6W","canonical_record":{"source":{"id":"1906.04808","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-06-11T20:34:57Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"defa4278e9bd3234fec5bbabc18fbf64082f50aafcac49ac8ab5bea860cfb457","abstract_canon_sha256":"fe4baa1996d069174f45a67b1cae6a37ddb9671beb360fc41d9932cbec8c16cc"},"schema_version":"1.0"},"canonical_sha256":"554cd21bd6e6d891835253a0e2f3f2821654406be16699c5fa02317f3e994a55","source":{"kind":"arxiv","id":"1906.04808","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.04808","created_at":"2026-07-05T03:55:45Z"},{"alias_kind":"arxiv_version","alias_value":"1906.04808v3","created_at":"2026-07-05T03:55:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.04808","created_at":"2026-07-05T03:55:45Z"},{"alias_kind":"pith_short_12","alias_value":"KVGNEG6W43MJ","created_at":"2026-07-05T03:55:45Z"},{"alias_kind":"pith_short_16","alias_value":"KVGNEG6W43MJDA2S","created_at":"2026-07-05T03:55:45Z"},{"alias_kind":"pith_short_8","alias_value":"KVGNEG6W","created_at":"2026-07-05T03:55:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:KVGNEG6W43MJDA2SKOQOF47SQI","target":"record","payload":{"canonical_record":{"source":{"id":"1906.04808","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-06-11T20:34:57Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"defa4278e9bd3234fec5bbabc18fbf64082f50aafcac49ac8ab5bea860cfb457","abstract_canon_sha256":"fe4baa1996d069174f45a67b1cae6a37ddb9671beb360fc41d9932cbec8c16cc"},"schema_version":"1.0"},"canonical_sha256":"554cd21bd6e6d891835253a0e2f3f2821654406be16699c5fa02317f3e994a55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:55:45.337310Z","signature_b64":"vIblIRHd4+oSlLf94+gYCumubkPctAil0xnDn6Qn29DE6aESrnFXKT5H/Zu50tWrmHDbJ6OyzWhrmLRF3ImkDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"554cd21bd6e6d891835253a0e2f3f2821654406be16699c5fa02317f3e994a55","last_reissued_at":"2026-07-05T03:55:45.336711Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:55:45.336711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.04808","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":"2026-07-05T03:55:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qXmynUtWUTMYcCIrcg/I9XEJDhA5KSz0RIcx0EmXzJhJ/WTDCMhvuoGAMPnRfmBgePi6iMb8KjFfuoRACI3iBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T12:09:29.640759Z"},"content_sha256":"3ba0190e27fb67a0a6368155e597a00fc6117ed2a1078354409db677f25a09f8","schema_version":"1.0","event_id":"sha256:3ba0190e27fb67a0a6368155e597a00fc6117ed2a1078354409db677f25a09f8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:KVGNEG6W43MJDA2SKOQOF47SQI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Electromagnetic fields on Kerr spacetime, Hertz potentials and Lorenz gauge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Sam R Dolan","submitted_at":"2019-06-11T20:34:57Z","abstract_excerpt":"We review two procedures for constructing the vector potential of the electromagnetic field on Kerr spacetime, namely, the classic method of Cohen & Kegeles, yielding $A^\\mu$ in a radiation gauge, and the newer method of Frolov et al., yielding $A^\\mu$ in Lorenz gauge. We demonstrate that the vector potentials are related by straightforward gauge transformations, which we give in closed form. We obtain a new result for a separable Hertz potential $H^{\\mu \\nu}$ such that $A_{\\text{lor}}^\\mu = \\nabla_\\nu H^{\\mu \\nu}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.04808","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/1906.04808/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":"2026-07-05T03:55:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xfZIcoEHgpv9uhcqcjnAcZ1QYtHdqMtplQu/uPenFmC1KpTEwlEgcq+ul8DuwO/h1yhb110b5YD+x64VxJE8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T12:09:29.641280Z"},"content_sha256":"b2c5458e9a7b49255e5542c1d6a25d1d64a51f2518263cd20429220e8af8c22f","schema_version":"1.0","event_id":"sha256:b2c5458e9a7b49255e5542c1d6a25d1d64a51f2518263cd20429220e8af8c22f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KVGNEG6W43MJDA2SKOQOF47SQI/bundle.json","state_url":"https://pith.science/pith/KVGNEG6W43MJDA2SKOQOF47SQI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KVGNEG6W43MJDA2SKOQOF47SQI/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":"2026-08-04T12:09:29Z","links":{"resolver":"https://pith.science/pith/KVGNEG6W43MJDA2SKOQOF47SQI","bundle":"https://pith.science/pith/KVGNEG6W43MJDA2SKOQOF47SQI/bundle.json","state":"https://pith.science/pith/KVGNEG6W43MJDA2SKOQOF47SQI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KVGNEG6W43MJDA2SKOQOF47SQI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:KVGNEG6W43MJDA2SKOQOF47SQI","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":"fe4baa1996d069174f45a67b1cae6a37ddb9671beb360fc41d9932cbec8c16cc","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-06-11T20:34:57Z","title_canon_sha256":"defa4278e9bd3234fec5bbabc18fbf64082f50aafcac49ac8ab5bea860cfb457"},"schema_version":"1.0","source":{"id":"1906.04808","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.04808","created_at":"2026-07-05T03:55:45Z"},{"alias_kind":"arxiv_version","alias_value":"1906.04808v3","created_at":"2026-07-05T03:55:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.04808","created_at":"2026-07-05T03:55:45Z"},{"alias_kind":"pith_short_12","alias_value":"KVGNEG6W43MJ","created_at":"2026-07-05T03:55:45Z"},{"alias_kind":"pith_short_16","alias_value":"KVGNEG6W43MJDA2S","created_at":"2026-07-05T03:55:45Z"},{"alias_kind":"pith_short_8","alias_value":"KVGNEG6W","created_at":"2026-07-05T03:55:45Z"}],"graph_snapshots":[{"event_id":"sha256:b2c5458e9a7b49255e5542c1d6a25d1d64a51f2518263cd20429220e8af8c22f","target":"graph","created_at":"2026-07-05T03:55:45Z","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/1906.04808/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We review two procedures for constructing the vector potential of the electromagnetic field on Kerr spacetime, namely, the classic method of Cohen & Kegeles, yielding $A^\\mu$ in a radiation gauge, and the newer method of Frolov et al., yielding $A^\\mu$ in Lorenz gauge. We demonstrate that the vector potentials are related by straightforward gauge transformations, which we give in closed form. We obtain a new result for a separable Hertz potential $H^{\\mu \\nu}$ such that $A_{\\text{lor}}^\\mu = \\nabla_\\nu H^{\\mu \\nu}$.","authors_text":"Sam R Dolan","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-06-11T20:34:57Z","title":"Electromagnetic fields on Kerr spacetime, Hertz potentials and Lorenz gauge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.04808","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":"sha256:3ba0190e27fb67a0a6368155e597a00fc6117ed2a1078354409db677f25a09f8","target":"record","created_at":"2026-07-05T03:55:45Z","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":"fe4baa1996d069174f45a67b1cae6a37ddb9671beb360fc41d9932cbec8c16cc","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-06-11T20:34:57Z","title_canon_sha256":"defa4278e9bd3234fec5bbabc18fbf64082f50aafcac49ac8ab5bea860cfb457"},"schema_version":"1.0","source":{"id":"1906.04808","kind":"arxiv","version":3}},"canonical_sha256":"554cd21bd6e6d891835253a0e2f3f2821654406be16699c5fa02317f3e994a55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"554cd21bd6e6d891835253a0e2f3f2821654406be16699c5fa02317f3e994a55","first_computed_at":"2026-07-05T03:55:45.336711Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:55:45.336711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vIblIRHd4+oSlLf94+gYCumubkPctAil0xnDn6Qn29DE6aESrnFXKT5H/Zu50tWrmHDbJ6OyzWhrmLRF3ImkDA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:55:45.337310Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.04808","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ba0190e27fb67a0a6368155e597a00fc6117ed2a1078354409db677f25a09f8","sha256:b2c5458e9a7b49255e5542c1d6a25d1d64a51f2518263cd20429220e8af8c22f"],"state_sha256":"c11be81942ab9ef7e7b17459cdddf92d8c97dfe082dd06529af4aaae2cbdcbdd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dnw2M2ljRU/dMX4Ee5bfK2G2fpbOEny05d6XtvcBb63JevJXBJfho9VW8bCQ63NRQahvUmDlZgubUKSFdU7nDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T12:09:29.645279Z","bundle_sha256":"d5e3c5fb72e96e59a6e77c2c36c96ea7d16f0456b24219b7af3f511f694d59dd"}}