{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:3GOJ7BPCTKMJCWZSSRMSBBNTGP","short_pith_number":"pith:3GOJ7BPC","schema_version":"1.0","canonical_sha256":"d99c9f85e29a98915b3294592085b333d375b92bd81742170584520dbae5a5cf","source":{"kind":"arxiv","id":"2101.08409","version":1},"attestation_state":"computed","paper":{"title":"Weak deflection angle by electrically and magnetically charged black holes from nonlinear electrodynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Li Zhao, Qi-Ming Fu, Yu-Xiao Liu","submitted_at":"2021-01-21T02:39:42Z","abstract_excerpt":"Nonlinear electrodynamic (NLED) theories are well-motivated for their extensions to classical electrodynamics in the strong field regime, and have been extensively investigated in seeking for regular black hole solutions. In this paper, we focus on two spherically symmetric and static black hole solutions based on two types of NLED models: the Euler-Heisenberg NLED model and the Bronnikov NLED model, and calculate the weak deflection angle of light by these two black holes with the help of the Gauss-Bonnet theorem. We investigate the effects of the one-loop corrections to quantum electrodynami"},"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":"2101.08409","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-01-21T02:39:42Z","cross_cats_sorted":[],"title_canon_sha256":"f0917be8752bc6d5a66a48c2bfc7952e1565798efab69b0a4dbbf28ca884bdad","abstract_canon_sha256":"10966519b47a877f1b0ab238285f736772e24ea79be65e7bbddf71ee8d3d667e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:59:11.656849Z","signature_b64":"lrUo74Pjn9m7NebK+mGohzyPJkFhkKJ6qwqYAZqD1oMFuaTl5Tg67PLRhio5BTJdQiG2f2srl7CypMsPiOs4BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d99c9f85e29a98915b3294592085b333d375b92bd81742170584520dbae5a5cf","last_reissued_at":"2026-07-05T02:59:11.656442Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:59:11.656442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weak deflection angle by electrically and magnetically charged black holes from nonlinear electrodynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Li Zhao, Qi-Ming Fu, Yu-Xiao Liu","submitted_at":"2021-01-21T02:39:42Z","abstract_excerpt":"Nonlinear electrodynamic (NLED) theories are well-motivated for their extensions to classical electrodynamics in the strong field regime, and have been extensively investigated in seeking for regular black hole solutions. In this paper, we focus on two spherically symmetric and static black hole solutions based on two types of NLED models: the Euler-Heisenberg NLED model and the Bronnikov NLED model, and calculate the weak deflection angle of light by these two black holes with the help of the Gauss-Bonnet theorem. We investigate the effects of the one-loop corrections to quantum electrodynami"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.08409","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/2101.08409/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":"2101.08409","created_at":"2026-07-05T02:59:11.656498+00:00"},{"alias_kind":"arxiv_version","alias_value":"2101.08409v1","created_at":"2026-07-05T02:59:11.656498+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.08409","created_at":"2026-07-05T02:59:11.656498+00:00"},{"alias_kind":"pith_short_12","alias_value":"3GOJ7BPCTKMJ","created_at":"2026-07-05T02:59:11.656498+00:00"},{"alias_kind":"pith_short_16","alias_value":"3GOJ7BPCTKMJCWZS","created_at":"2026-07-05T02:59:11.656498+00:00"},{"alias_kind":"pith_short_8","alias_value":"3GOJ7BPC","created_at":"2026-07-05T02:59:11.656498+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.04044","citing_title":"Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic","ref_index":97,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3GOJ7BPCTKMJCWZSSRMSBBNTGP","json":"https://pith.science/pith/3GOJ7BPCTKMJCWZSSRMSBBNTGP.json","graph_json":"https://pith.science/api/pith-number/3GOJ7BPCTKMJCWZSSRMSBBNTGP/graph.json","events_json":"https://pith.science/api/pith-number/3GOJ7BPCTKMJCWZSSRMSBBNTGP/events.json","paper":"https://pith.science/paper/3GOJ7BPC"},"agent_actions":{"view_html":"https://pith.science/pith/3GOJ7BPCTKMJCWZSSRMSBBNTGP","download_json":"https://pith.science/pith/3GOJ7BPCTKMJCWZSSRMSBBNTGP.json","view_paper":"https://pith.science/paper/3GOJ7BPC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2101.08409&json=true","fetch_graph":"https://pith.science/api/pith-number/3GOJ7BPCTKMJCWZSSRMSBBNTGP/graph.json","fetch_events":"https://pith.science/api/pith-number/3GOJ7BPCTKMJCWZSSRMSBBNTGP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3GOJ7BPCTKMJCWZSSRMSBBNTGP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3GOJ7BPCTKMJCWZSSRMSBBNTGP/action/storage_attestation","attest_author":"https://pith.science/pith/3GOJ7BPCTKMJCWZSSRMSBBNTGP/action/author_attestation","sign_citation":"https://pith.science/pith/3GOJ7BPCTKMJCWZSSRMSBBNTGP/action/citation_signature","submit_replication":"https://pith.science/pith/3GOJ7BPCTKMJCWZSSRMSBBNTGP/action/replication_record"}},"created_at":"2026-07-05T02:59:11.656498+00:00","updated_at":"2026-07-05T02:59:11.656498+00:00"}