{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:X3L6VVF2Q53GT2UZ7U34B7BY7V","short_pith_number":"pith:X3L6VVF2","schema_version":"1.0","canonical_sha256":"bed7ead4ba877669ea99fd37c0fc38fd4b71327998e064462ddd0cfa210992c5","source":{"kind":"arxiv","id":"1607.07022","version":3},"attestation_state":"computed","paper":{"title":"Strong deflection limit analysis and gravitational lensing of an Ellis wormhole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Naoki Tsukamoto","submitted_at":"2016-07-24T10:08:34Z","abstract_excerpt":"Observations of gravitational lenses in strong gravitational fields give us a clue to understanding dark compact objects. In this paper, we extend a method to obtain a deflection angle in a strong deflection limit provided by Bozza [Phys. Rev. D 66, 103001 (2002)] to apply to ultrastatic spacetimes. We also discuss on the order of an error term in the deflection angle. Using the improved method, we consider gravitational lensing by an Ellis wormhole, which is an ultrastatic wormhole of the Morris-Thorne class."},"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":"1607.07022","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-07-24T10:08:34Z","cross_cats_sorted":[],"title_canon_sha256":"c2754c49fe08e36a6404029c3dfb737c7c18e834bf94af5eecb040e355795776","abstract_canon_sha256":"8a81cce7322eeb9529788bd1a2e88ccf4ef1fc022e065ffc91e9aea3f60c13a4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:04.141257Z","signature_b64":"IG6KhjlIZ2spz5MjSmuv7qlfw2lcVcm6spHmb0FAHIdI+tyww+nUchqCYpuBZw7a6aMiJFBT8rlg9r+97R06Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bed7ead4ba877669ea99fd37c0fc38fd4b71327998e064462ddd0cfa210992c5","last_reissued_at":"2026-05-18T00:56:04.140555Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:04.140555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strong deflection limit analysis and gravitational lensing of an Ellis wormhole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Naoki Tsukamoto","submitted_at":"2016-07-24T10:08:34Z","abstract_excerpt":"Observations of gravitational lenses in strong gravitational fields give us a clue to understanding dark compact objects. In this paper, we extend a method to obtain a deflection angle in a strong deflection limit provided by Bozza [Phys. Rev. D 66, 103001 (2002)] to apply to ultrastatic spacetimes. We also discuss on the order of an error term in the deflection angle. Using the improved method, we consider gravitational lensing by an Ellis wormhole, which is an ultrastatic wormhole of the Morris-Thorne class."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07022","kind":"arxiv","version":3},"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":"1607.07022","created_at":"2026-05-18T00:56:04.140670+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.07022v3","created_at":"2026-05-18T00:56:04.140670+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07022","created_at":"2026-05-18T00:56:04.140670+00:00"},{"alias_kind":"pith_short_12","alias_value":"X3L6VVF2Q53G","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"X3L6VVF2Q53GT2UZ","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"X3L6VVF2","created_at":"2026-05-18T12:30:51.357362+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.03864","citing_title":"Dymnikova-Schwinger quantum-corrected slowly rotating wormholes: Photon and spinning particle dynamics","ref_index":24,"is_internal_anchor":false},{"citing_arxiv_id":"2604.13223","citing_title":"Observational constraints on nonlocal black holes via gravitational lensing","ref_index":87,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/X3L6VVF2Q53GT2UZ7U34B7BY7V","json":"https://pith.science/pith/X3L6VVF2Q53GT2UZ7U34B7BY7V.json","graph_json":"https://pith.science/api/pith-number/X3L6VVF2Q53GT2UZ7U34B7BY7V/graph.json","events_json":"https://pith.science/api/pith-number/X3L6VVF2Q53GT2UZ7U34B7BY7V/events.json","paper":"https://pith.science/paper/X3L6VVF2"},"agent_actions":{"view_html":"https://pith.science/pith/X3L6VVF2Q53GT2UZ7U34B7BY7V","download_json":"https://pith.science/pith/X3L6VVF2Q53GT2UZ7U34B7BY7V.json","view_paper":"https://pith.science/paper/X3L6VVF2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.07022&json=true","fetch_graph":"https://pith.science/api/pith-number/X3L6VVF2Q53GT2UZ7U34B7BY7V/graph.json","fetch_events":"https://pith.science/api/pith-number/X3L6VVF2Q53GT2UZ7U34B7BY7V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X3L6VVF2Q53GT2UZ7U34B7BY7V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X3L6VVF2Q53GT2UZ7U34B7BY7V/action/storage_attestation","attest_author":"https://pith.science/pith/X3L6VVF2Q53GT2UZ7U34B7BY7V/action/author_attestation","sign_citation":"https://pith.science/pith/X3L6VVF2Q53GT2UZ7U34B7BY7V/action/citation_signature","submit_replication":"https://pith.science/pith/X3L6VVF2Q53GT2UZ7U34B7BY7V/action/replication_record"}},"created_at":"2026-05-18T00:56:04.140670+00:00","updated_at":"2026-05-18T00:56:04.140670+00:00"}