{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QGFBF45UOJYM3HU2UVFEU4RYTR","short_pith_number":"pith:QGFBF45U","schema_version":"1.0","canonical_sha256":"818a12f3b47270cd9e9aa54a4a72389c742798b114b56c6c2824bf624ce97de5","source":{"kind":"arxiv","id":"1711.00087","version":1},"attestation_state":"computed","paper":{"title":"Nonlinear electrodynamics, regular black holes and wormholes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"K. A. Bronnikov","submitted_at":"2017-10-31T20:09:03Z","abstract_excerpt":"We consider spherically symmetric configurations in general relativity, supported by nonlinear electromagnetic fields with gauge-invariant Lagrangians depending on the single invariant $f = F_{\\mu\\nu} F^{\\mu\\nu}$. Static black hole and solitonic solutions are briefly described, both with only an electric or magnetic charge and with both nonzero charges (the dyonic ones). It is stressed that only pure magnetic solutions can be completely nonsingular. For dyonic systems, apart from a general scheme of obtaining solutions in quadratures for an arbitrary Lagrangian function $L(f)$, an analytic sol"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1711.00087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-10-31T20:09:03Z","cross_cats_sorted":[],"title_canon_sha256":"e7a1be651449bbfdb5427e1dfa88a4da10c20901a0bbe7208ef114cd8d81b062","abstract_canon_sha256":"42897eb069d25ddef53fd48708775064227cfbfb1044e8ec6cc81f7e7caec3fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:43:53.565474Z","signature_b64":"SytVpMgxQhNbqfRQR87EETzmEKWNL2KpewMc+IjNA0el4Wd1tzG8nRhnESvLpy3trOPSC3N8DKnsVHbhQAm9CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"818a12f3b47270cd9e9aa54a4a72389c742798b114b56c6c2824bf624ce97de5","last_reissued_at":"2026-07-05T01:43:53.564911Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:43:53.564911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlinear electrodynamics, regular black holes and wormholes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"K. A. Bronnikov","submitted_at":"2017-10-31T20:09:03Z","abstract_excerpt":"We consider spherically symmetric configurations in general relativity, supported by nonlinear electromagnetic fields with gauge-invariant Lagrangians depending on the single invariant $f = F_{\\mu\\nu} F^{\\mu\\nu}$. Static black hole and solitonic solutions are briefly described, both with only an electric or magnetic charge and with both nonzero charges (the dyonic ones). It is stressed that only pure magnetic solutions can be completely nonsingular. For dyonic systems, apart from a general scheme of obtaining solutions in quadratures for an arbitrary Lagrangian function $L(f)$, an analytic sol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.00087","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/1711.00087/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1711.00087","created_at":"2026-07-05T01:43:53.564973+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.00087v1","created_at":"2026-07-05T01:43:53.564973+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.00087","created_at":"2026-07-05T01:43:53.564973+00:00"},{"alias_kind":"pith_short_12","alias_value":"QGFBF45UOJYM","created_at":"2026-07-05T01:43:53.564973+00:00"},{"alias_kind":"pith_short_16","alias_value":"QGFBF45UOJYM3HU2","created_at":"2026-07-05T01:43:53.564973+00:00"},{"alias_kind":"pith_short_8","alias_value":"QGFBF45U","created_at":"2026-07-05T01:43:53.564973+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.20109","citing_title":"Regular Black Holes from Anisotropic Source with Hydrodynamic Equation of State","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2605.27170","citing_title":"Regular black hole solutions and the quark chemical potential at the QCD phase transition","ref_index":66,"is_internal_anchor":false},{"citing_arxiv_id":"2604.22309","citing_title":"Photon Propagation and Black Hole Imaging in Kruglov Nonlinear Electrodynamics","ref_index":53,"is_internal_anchor":false},{"citing_arxiv_id":"2604.22309","citing_title":"Photon Propagation and Black Hole Imaging in Kruglov Nonlinear Electrodynamics","ref_index":53,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QGFBF45UOJYM3HU2UVFEU4RYTR","json":"https://pith.science/pith/QGFBF45UOJYM3HU2UVFEU4RYTR.json","graph_json":"https://pith.science/api/pith-number/QGFBF45UOJYM3HU2UVFEU4RYTR/graph.json","events_json":"https://pith.science/api/pith-number/QGFBF45UOJYM3HU2UVFEU4RYTR/events.json","paper":"https://pith.science/paper/QGFBF45U"},"agent_actions":{"view_html":"https://pith.science/pith/QGFBF45UOJYM3HU2UVFEU4RYTR","download_json":"https://pith.science/pith/QGFBF45UOJYM3HU2UVFEU4RYTR.json","view_paper":"https://pith.science/paper/QGFBF45U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.00087&json=true","fetch_graph":"https://pith.science/api/pith-number/QGFBF45UOJYM3HU2UVFEU4RYTR/graph.json","fetch_events":"https://pith.science/api/pith-number/QGFBF45UOJYM3HU2UVFEU4RYTR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QGFBF45UOJYM3HU2UVFEU4RYTR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QGFBF45UOJYM3HU2UVFEU4RYTR/action/storage_attestation","attest_author":"https://pith.science/pith/QGFBF45UOJYM3HU2UVFEU4RYTR/action/author_attestation","sign_citation":"https://pith.science/pith/QGFBF45UOJYM3HU2UVFEU4RYTR/action/citation_signature","submit_replication":"https://pith.science/pith/QGFBF45UOJYM3HU2UVFEU4RYTR/action/replication_record"}},"created_at":"2026-07-05T01:43:53.564973+00:00","updated_at":"2026-07-05T01:43:53.564973+00:00"}