{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:MXJUJPVH5JDPLRMRNJCKIEKUL6","short_pith_number":"pith:MXJUJPVH","schema_version":"1.0","canonical_sha256":"65d344bea7ea46f5c5916a44a411545f8ec2010a96bc143081906fd8d76f9c34","source":{"kind":"arxiv","id":"gr-qc/0102068","version":1},"attestation_state":"computed","paper":{"title":"Strong field limit of black hole gravitational lensing","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"G. Iovane, G. Scarpetta, S. Capozziello, V. Bozza","submitted_at":"2001-02-14T14:12:17Z","abstract_excerpt":"We give the formulation of the gravitational lensing theory in the strong field limit for a Schwarzschild black hole as a counterpart to the weak field approach. It is possible to expand the full black hole lens equation to work a simple analytical theory that describes at a high accuracy degree the physics in the strong field limit. In this way, we derive compact and reliable mathematical formulae for the position of additional critical curves, relativistic images and their magnification, arising in this limit."},"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":"gr-qc/0102068","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2001-02-14T14:12:17Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"d038ee3833315a802072082e8b3c978412abcbb58074765b3eec9c88900c7f32","abstract_canon_sha256":"df1620656eac2ebcaef53d5a703ce00459889411e6bf830b394a457d8e15976c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:24.400267Z","signature_b64":"mVywZwajptRqv3dNRroaB4w5GvrlDs2ai1gNKzDUoAolqQCIzK/11S0G6CILJK8xLRkxevJoh3VR76owLvbgAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65d344bea7ea46f5c5916a44a411545f8ec2010a96bc143081906fd8d76f9c34","last_reissued_at":"2026-05-18T01:39:24.399639Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:24.399639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strong field limit of black hole gravitational lensing","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"G. Iovane, G. Scarpetta, S. Capozziello, V. Bozza","submitted_at":"2001-02-14T14:12:17Z","abstract_excerpt":"We give the formulation of the gravitational lensing theory in the strong field limit for a Schwarzschild black hole as a counterpart to the weak field approach. It is possible to expand the full black hole lens equation to work a simple analytical theory that describes at a high accuracy degree the physics in the strong field limit. In this way, we derive compact and reliable mathematical formulae for the position of additional critical curves, relativistic images and their magnification, arising in this limit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0102068","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":""},"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":"gr-qc/0102068","created_at":"2026-05-18T01:39:24.399709+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0102068v1","created_at":"2026-05-18T01:39:24.399709+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0102068","created_at":"2026-05-18T01:39:24.399709+00:00"},{"alias_kind":"pith_short_12","alias_value":"MXJUJPVH5JDP","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"MXJUJPVH5JDPLRMR","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"MXJUJPVH","created_at":"2026-05-18T12:25:50.845339+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2602.16237","citing_title":"Rotating Black Holes with Primary Scalar Hair: Shadow Signatures in Beyond Horndeski Gravity","ref_index":95,"is_internal_anchor":true},{"citing_arxiv_id":"2605.02807","citing_title":"Hadronic lensing","ref_index":56,"is_internal_anchor":false},{"citing_arxiv_id":"2604.24115","citing_title":"Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing","ref_index":17,"is_internal_anchor":false},{"citing_arxiv_id":"2605.02807","citing_title":"Hadronic lensing","ref_index":57,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MXJUJPVH5JDPLRMRNJCKIEKUL6","json":"https://pith.science/pith/MXJUJPVH5JDPLRMRNJCKIEKUL6.json","graph_json":"https://pith.science/api/pith-number/MXJUJPVH5JDPLRMRNJCKIEKUL6/graph.json","events_json":"https://pith.science/api/pith-number/MXJUJPVH5JDPLRMRNJCKIEKUL6/events.json","paper":"https://pith.science/paper/MXJUJPVH"},"agent_actions":{"view_html":"https://pith.science/pith/MXJUJPVH5JDPLRMRNJCKIEKUL6","download_json":"https://pith.science/pith/MXJUJPVH5JDPLRMRNJCKIEKUL6.json","view_paper":"https://pith.science/paper/MXJUJPVH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0102068&json=true","fetch_graph":"https://pith.science/api/pith-number/MXJUJPVH5JDPLRMRNJCKIEKUL6/graph.json","fetch_events":"https://pith.science/api/pith-number/MXJUJPVH5JDPLRMRNJCKIEKUL6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MXJUJPVH5JDPLRMRNJCKIEKUL6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MXJUJPVH5JDPLRMRNJCKIEKUL6/action/storage_attestation","attest_author":"https://pith.science/pith/MXJUJPVH5JDPLRMRNJCKIEKUL6/action/author_attestation","sign_citation":"https://pith.science/pith/MXJUJPVH5JDPLRMRNJCKIEKUL6/action/citation_signature","submit_replication":"https://pith.science/pith/MXJUJPVH5JDPLRMRNJCKIEKUL6/action/replication_record"}},"created_at":"2026-05-18T01:39:24.399709+00:00","updated_at":"2026-05-18T01:39:24.399709+00:00"}