{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:BWZLDEUSNB4BMN7VKXQKYJC4UV","short_pith_number":"pith:BWZLDEUS","canonical_record":{"source":{"id":"2407.04975","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"gr-qc","submitted_at":"2024-07-06T06:55:52Z","cross_cats_sorted":[],"title_canon_sha256":"1b9d7a6e1c25c17ce523735c90c3c169956665b705ac9b36d2696524cbdddd5b","abstract_canon_sha256":"d0233279c4d4fba32d3f75506323635697e29a2d1f7d88211af031ba81989180"},"schema_version":"1.0"},"canonical_sha256":"0db2b1929268781637f555e0ac245ca5671521c961f0dc1bdcdbeadd7be2b583","source":{"kind":"arxiv","id":"2407.04975","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.04975","created_at":"2026-07-05T10:47:54Z"},{"alias_kind":"arxiv_version","alias_value":"2407.04975v1","created_at":"2026-07-05T10:47:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.04975","created_at":"2026-07-05T10:47:54Z"},{"alias_kind":"pith_short_12","alias_value":"BWZLDEUSNB4B","created_at":"2026-07-05T10:47:54Z"},{"alias_kind":"pith_short_16","alias_value":"BWZLDEUSNB4BMN7V","created_at":"2026-07-05T10:47:54Z"},{"alias_kind":"pith_short_8","alias_value":"BWZLDEUS","created_at":"2026-07-05T10:47:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:BWZLDEUSNB4BMN7VKXQKYJC4UV","target":"record","payload":{"canonical_record":{"source":{"id":"2407.04975","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"gr-qc","submitted_at":"2024-07-06T06:55:52Z","cross_cats_sorted":[],"title_canon_sha256":"1b9d7a6e1c25c17ce523735c90c3c169956665b705ac9b36d2696524cbdddd5b","abstract_canon_sha256":"d0233279c4d4fba32d3f75506323635697e29a2d1f7d88211af031ba81989180"},"schema_version":"1.0"},"canonical_sha256":"0db2b1929268781637f555e0ac245ca5671521c961f0dc1bdcdbeadd7be2b583","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:47:54.787383Z","signature_b64":"xxBt5QrEubFeiqhw2p1qFeBKLSscocij8Zpz72iMQWhTq5lXIfcvL30CHzlQg4oaX8G3AmqlacyTxG2UnPBWDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0db2b1929268781637f555e0ac245ca5671521c961f0dc1bdcdbeadd7be2b583","last_reissued_at":"2026-07-05T10:47:54.786812Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:47:54.786812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.04975","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":"2026-07-05T10:47:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mz4nvdZ0pF1BKeQ9klB7/X2juevejkTJbmFGS4nZRLJlNT7pnvd6Kmf6uiahqBb96qnjpzXTJr8Xbp76IPXfDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T11:58:55.531987Z"},"content_sha256":"17bb7ae9fb215cfd08b834aadbb1e9724a1aa40319aa673282bcf1d7d2e87c26","schema_version":"1.0","event_id":"sha256:17bb7ae9fb215cfd08b834aadbb1e9724a1aa40319aa673282bcf1d7d2e87c26"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:BWZLDEUSNB4BMN7VKXQKYJC4UV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Polar magnetic fields in black-hole space-times","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Gideon Koekoek, Jan-Willem van Holten, Julia Schuring, Richard Kerner","submitted_at":"2024-07-06T06:55:52Z","abstract_excerpt":"To model magnetic fields of compact objects we solve the Maxwell equations in the background of the exterior static Schwarzschild and slowly rotating Kerr space-times. We impose the boundary condition that the electromagnetic fields are to vanish at infinity. A full set of solutions is obtained, describing axially symmetric magnetic fields, supplemented by axial electric fields in the case of non-vanishing rotation of the gravitational background. We study the motion of charged test particles in these combined gravitational and electromagnetic fields, in particular considering the conditions f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.04975","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2407.04975/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":"2026-07-05T10:47:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l9FsvlbXif+PFxCKIINoEORZN4SWhQ4JnpFAGmJiD/XFgVKGnRRtIWWne2NpxsuRb2rFlxA2/G9z/MY9mQmLDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T11:58:55.532501Z"},"content_sha256":"ad3517b5053083d9b4143c3449e22631608e9bf2247300b2b9d61ba4cdde6b53","schema_version":"1.0","event_id":"sha256:ad3517b5053083d9b4143c3449e22631608e9bf2247300b2b9d61ba4cdde6b53"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BWZLDEUSNB4BMN7VKXQKYJC4UV/bundle.json","state_url":"https://pith.science/pith/BWZLDEUSNB4BMN7VKXQKYJC4UV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BWZLDEUSNB4BMN7VKXQKYJC4UV/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":"2026-08-18T11:58:55Z","links":{"resolver":"https://pith.science/pith/BWZLDEUSNB4BMN7VKXQKYJC4UV","bundle":"https://pith.science/pith/BWZLDEUSNB4BMN7VKXQKYJC4UV/bundle.json","state":"https://pith.science/pith/BWZLDEUSNB4BMN7VKXQKYJC4UV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BWZLDEUSNB4BMN7VKXQKYJC4UV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:BWZLDEUSNB4BMN7VKXQKYJC4UV","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":"d0233279c4d4fba32d3f75506323635697e29a2d1f7d88211af031ba81989180","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"gr-qc","submitted_at":"2024-07-06T06:55:52Z","title_canon_sha256":"1b9d7a6e1c25c17ce523735c90c3c169956665b705ac9b36d2696524cbdddd5b"},"schema_version":"1.0","source":{"id":"2407.04975","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.04975","created_at":"2026-07-05T10:47:54Z"},{"alias_kind":"arxiv_version","alias_value":"2407.04975v1","created_at":"2026-07-05T10:47:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.04975","created_at":"2026-07-05T10:47:54Z"},{"alias_kind":"pith_short_12","alias_value":"BWZLDEUSNB4B","created_at":"2026-07-05T10:47:54Z"},{"alias_kind":"pith_short_16","alias_value":"BWZLDEUSNB4BMN7V","created_at":"2026-07-05T10:47:54Z"},{"alias_kind":"pith_short_8","alias_value":"BWZLDEUS","created_at":"2026-07-05T10:47:54Z"}],"graph_snapshots":[{"event_id":"sha256:ad3517b5053083d9b4143c3449e22631608e9bf2247300b2b9d61ba4cdde6b53","target":"graph","created_at":"2026-07-05T10:47:54Z","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/2407.04975/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"To model magnetic fields of compact objects we solve the Maxwell equations in the background of the exterior static Schwarzschild and slowly rotating Kerr space-times. We impose the boundary condition that the electromagnetic fields are to vanish at infinity. A full set of solutions is obtained, describing axially symmetric magnetic fields, supplemented by axial electric fields in the case of non-vanishing rotation of the gravitational background. We study the motion of charged test particles in these combined gravitational and electromagnetic fields, in particular considering the conditions f","authors_text":"Gideon Koekoek, Jan-Willem van Holten, Julia Schuring, Richard Kerner","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"gr-qc","submitted_at":"2024-07-06T06:55:52Z","title":"Polar magnetic fields in black-hole space-times"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.04975","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":"sha256:17bb7ae9fb215cfd08b834aadbb1e9724a1aa40319aa673282bcf1d7d2e87c26","target":"record","created_at":"2026-07-05T10:47:54Z","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":"d0233279c4d4fba32d3f75506323635697e29a2d1f7d88211af031ba81989180","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"gr-qc","submitted_at":"2024-07-06T06:55:52Z","title_canon_sha256":"1b9d7a6e1c25c17ce523735c90c3c169956665b705ac9b36d2696524cbdddd5b"},"schema_version":"1.0","source":{"id":"2407.04975","kind":"arxiv","version":1}},"canonical_sha256":"0db2b1929268781637f555e0ac245ca5671521c961f0dc1bdcdbeadd7be2b583","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0db2b1929268781637f555e0ac245ca5671521c961f0dc1bdcdbeadd7be2b583","first_computed_at":"2026-07-05T10:47:54.786812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:47:54.786812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xxBt5QrEubFeiqhw2p1qFeBKLSscocij8Zpz72iMQWhTq5lXIfcvL30CHzlQg4oaX8G3AmqlacyTxG2UnPBWDA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:47:54.787383Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.04975","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17bb7ae9fb215cfd08b834aadbb1e9724a1aa40319aa673282bcf1d7d2e87c26","sha256:ad3517b5053083d9b4143c3449e22631608e9bf2247300b2b9d61ba4cdde6b53"],"state_sha256":"f2cfa858193bf283a4a5b9df9d649dd6b1c945a5ba19af42933bc66967d7f8fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wKw8QeAwU3mlwA9CZ4G3bR42ctSumtE7bXkmoVRzg3iMiFuxcy7JB5QSS4Bca4Y1Oidd6W3PpowK4wOOZmR3BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T11:58:55.593978Z","bundle_sha256":"884f3e08ca9808f0e7433ff82846d2e351e1269f049efa8feb814c9737add10c"}}