{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:HHPRYQ4FSROILXYIPBYGTFUGGI","short_pith_number":"pith:HHPRYQ4F","schema_version":"1.0","canonical_sha256":"39df1c4385945c85df0878706996863225eda82847d8f40e3dc10a8990b2eb5e","source":{"kind":"arxiv","id":"hep-th/0606185","version":1},"attestation_state":"computed","paper":{"title":"Regular black holes in quadratic gravity","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Dariusz Tryniecki, Jerzy Matyjasek, Mariusz Woronowicz, Waldemar Berej","submitted_at":"2006-06-20T06:19:26Z","abstract_excerpt":"The first-order correction of the perturbative solution of the coupled equations of the quadratic gravity and nonlinear electrodynamics is constructed, with the zeroth-order solution coinciding with the ones given by Ay\\'on-Beato and Garc{\\'\\i}a and by Bronnikov. It is shown that a simple generalization of the Bronnikov's electromagnetic Lagrangian leads to the solution expressible in terms of the polylogarithm functions. The solution is parametrized by two integration constants and depends on two free parameters. By the boundary conditions the integration constants are related to the charge a"},"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":"hep-th/0606185","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-06-20T06:19:26Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"1180a3a5abe0174df4ea5cf3090f87d9bea6b8bf13d5d0b85c9a23bc1f0b4e8c","abstract_canon_sha256":"99cf81d3b727b09fe536358ca4a8c54a19279157ad54edc4baf3b7f4e416a221"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:01:56.587228Z","signature_b64":"bQcnBJWSY4kWFfzw8YJw/l6LlqIZrbDs+Q9syI0nG3hcQgNgaW0I8HQRvQWW6LW3NNaebTl60dpamZETGle9Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39df1c4385945c85df0878706996863225eda82847d8f40e3dc10a8990b2eb5e","last_reissued_at":"2026-07-04T17:01:56.586870Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:01:56.586870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Regular black holes in quadratic gravity","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Dariusz Tryniecki, Jerzy Matyjasek, Mariusz Woronowicz, Waldemar Berej","submitted_at":"2006-06-20T06:19:26Z","abstract_excerpt":"The first-order correction of the perturbative solution of the coupled equations of the quadratic gravity and nonlinear electrodynamics is constructed, with the zeroth-order solution coinciding with the ones given by Ay\\'on-Beato and Garc{\\'\\i}a and by Bronnikov. It is shown that a simple generalization of the Bronnikov's electromagnetic Lagrangian leads to the solution expressible in terms of the polylogarithm functions. The solution is parametrized by two integration constants and depends on two free parameters. By the boundary conditions the integration constants are related to the charge a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0606185","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/hep-th/0606185/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":"hep-th/0606185","created_at":"2026-07-04T17:01:56.586941+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0606185v1","created_at":"2026-07-04T17:01:56.586941+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0606185","created_at":"2026-07-04T17:01:56.586941+00:00"},{"alias_kind":"pith_short_12","alias_value":"HHPRYQ4FSROI","created_at":"2026-07-04T17:01:56.586941+00:00"},{"alias_kind":"pith_short_16","alias_value":"HHPRYQ4FSROILXYI","created_at":"2026-07-04T17:01:56.586941+00:00"},{"alias_kind":"pith_short_8","alias_value":"HHPRYQ4F","created_at":"2026-07-04T17:01:56.586941+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2606.06355","citing_title":"$\\tt BlackHawk$ $\\tt v3.0$: Hawking Radiation from Regular Black Holes","ref_index":261,"is_internal_anchor":true},{"citing_arxiv_id":"2511.14047","citing_title":"Exact, non-singular black holes from a phantom DBI Field as primordial dark matter","ref_index":25,"is_internal_anchor":true},{"citing_arxiv_id":"2601.05750","citing_title":"Parameterized Post-Newtonian Analysis of Quadratic Gravity and Solar System Constraints","ref_index":19,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HHPRYQ4FSROILXYIPBYGTFUGGI","json":"https://pith.science/pith/HHPRYQ4FSROILXYIPBYGTFUGGI.json","graph_json":"https://pith.science/api/pith-number/HHPRYQ4FSROILXYIPBYGTFUGGI/graph.json","events_json":"https://pith.science/api/pith-number/HHPRYQ4FSROILXYIPBYGTFUGGI/events.json","paper":"https://pith.science/paper/HHPRYQ4F"},"agent_actions":{"view_html":"https://pith.science/pith/HHPRYQ4FSROILXYIPBYGTFUGGI","download_json":"https://pith.science/pith/HHPRYQ4FSROILXYIPBYGTFUGGI.json","view_paper":"https://pith.science/paper/HHPRYQ4F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0606185&json=true","fetch_graph":"https://pith.science/api/pith-number/HHPRYQ4FSROILXYIPBYGTFUGGI/graph.json","fetch_events":"https://pith.science/api/pith-number/HHPRYQ4FSROILXYIPBYGTFUGGI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HHPRYQ4FSROILXYIPBYGTFUGGI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HHPRYQ4FSROILXYIPBYGTFUGGI/action/storage_attestation","attest_author":"https://pith.science/pith/HHPRYQ4FSROILXYIPBYGTFUGGI/action/author_attestation","sign_citation":"https://pith.science/pith/HHPRYQ4FSROILXYIPBYGTFUGGI/action/citation_signature","submit_replication":"https://pith.science/pith/HHPRYQ4FSROILXYIPBYGTFUGGI/action/replication_record"}},"created_at":"2026-07-04T17:01:56.586941+00:00","updated_at":"2026-07-04T17:01:56.586941+00:00"}