{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:5F7XPEA5UXSSJGA7IODWPTRDPU","short_pith_number":"pith:5F7XPEA5","schema_version":"1.0","canonical_sha256":"e97f77901da5e524981f438767ce237d31e7b7f9b8f7e926040e382168dfa443","source":{"kind":"arxiv","id":"1408.6611","version":1},"attestation_state":"computed","paper":{"title":"The Effective Cross-sections of a Lensing-galaxy: Singular Isothermal Sphere with External Shear","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"astro-ph.GA","authors_text":"Dong-Wook Lee, Sang-Joon Kim","submitted_at":"2014-08-28T03:04:19Z","abstract_excerpt":"Numerical studies on the imaging and caustic properties of the singular isothermal sphere (SIS) under a wide range of external shear (from 0.0 to 2.0) are presented. Using a direct inverse-mapping formula for this lens system (Lee 2003), we investigate various lensing properties under both a low (i.e., {\\gamma} < 1.0), and a high (i.e., {\\gamma} > 1.0) shear case: image separations, total or individual magnifications, flux ratios of 2-images, maximum number of images, and lensing cross-sections. We systematically analyze the effective lensing cross-sections of double-lensing and quad-lensing s"},"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":"1408.6611","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2014-08-28T03:04:19Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"636665bec10abe8e3e7fd31f1ed6bfa1a53885ffd014e5d1b7b8ff01dda33479","abstract_canon_sha256":"561a4724fbcf8ebec3de9ddf6560a676d1a5bdc1f196cc0a658abcd0c13f5c7d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:12.384634Z","signature_b64":"1a2zjGo2rnsP0fIP/KvAsM/ckzly+5dzr0eVG63fhvKfZwTqGeA4CoZZfmG6N0ezxSVjhJ2ItQFLHvLjBQddDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e97f77901da5e524981f438767ce237d31e7b7f9b8f7e926040e382168dfa443","last_reissued_at":"2026-05-18T01:42:12.384107Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:12.384107Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Effective Cross-sections of a Lensing-galaxy: Singular Isothermal Sphere with External Shear","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"astro-ph.GA","authors_text":"Dong-Wook Lee, Sang-Joon Kim","submitted_at":"2014-08-28T03:04:19Z","abstract_excerpt":"Numerical studies on the imaging and caustic properties of the singular isothermal sphere (SIS) under a wide range of external shear (from 0.0 to 2.0) are presented. Using a direct inverse-mapping formula for this lens system (Lee 2003), we investigate various lensing properties under both a low (i.e., {\\gamma} < 1.0), and a high (i.e., {\\gamma} > 1.0) shear case: image separations, total or individual magnifications, flux ratios of 2-images, maximum number of images, and lensing cross-sections. We systematically analyze the effective lensing cross-sections of double-lensing and quad-lensing s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6611","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":"1408.6611","created_at":"2026-05-18T01:42:12.384181+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.6611v1","created_at":"2026-05-18T01:42:12.384181+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6611","created_at":"2026-05-18T01:42:12.384181+00:00"},{"alias_kind":"pith_short_12","alias_value":"5F7XPEA5UXSS","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"5F7XPEA5UXSSJGA7","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"5F7XPEA5","created_at":"2026-05-18T12:28:14.216126+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5F7XPEA5UXSSJGA7IODWPTRDPU","json":"https://pith.science/pith/5F7XPEA5UXSSJGA7IODWPTRDPU.json","graph_json":"https://pith.science/api/pith-number/5F7XPEA5UXSSJGA7IODWPTRDPU/graph.json","events_json":"https://pith.science/api/pith-number/5F7XPEA5UXSSJGA7IODWPTRDPU/events.json","paper":"https://pith.science/paper/5F7XPEA5"},"agent_actions":{"view_html":"https://pith.science/pith/5F7XPEA5UXSSJGA7IODWPTRDPU","download_json":"https://pith.science/pith/5F7XPEA5UXSSJGA7IODWPTRDPU.json","view_paper":"https://pith.science/paper/5F7XPEA5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.6611&json=true","fetch_graph":"https://pith.science/api/pith-number/5F7XPEA5UXSSJGA7IODWPTRDPU/graph.json","fetch_events":"https://pith.science/api/pith-number/5F7XPEA5UXSSJGA7IODWPTRDPU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5F7XPEA5UXSSJGA7IODWPTRDPU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5F7XPEA5UXSSJGA7IODWPTRDPU/action/storage_attestation","attest_author":"https://pith.science/pith/5F7XPEA5UXSSJGA7IODWPTRDPU/action/author_attestation","sign_citation":"https://pith.science/pith/5F7XPEA5UXSSJGA7IODWPTRDPU/action/citation_signature","submit_replication":"https://pith.science/pith/5F7XPEA5UXSSJGA7IODWPTRDPU/action/replication_record"}},"created_at":"2026-05-18T01:42:12.384181+00:00","updated_at":"2026-05-18T01:42:12.384181+00:00"}