{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:23EIOMEIALFYBBZ5GXLJ7B2WNC","short_pith_number":"pith:23EIOMEI","schema_version":"1.0","canonical_sha256":"d6c887308802cb80873d35d69f875668bb2d09b5f482760ef3b7fc57bcdc2003","source":{"kind":"arxiv","id":"astro-ph/0112531","version":4},"attestation_state":"computed","paper":{"title":"Gravitational Microlensing Near Caustics I: Folds","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"A. O. Petters (Duke), B. Scott Gaudi (IAS)","submitted_at":"2001-12-22T01:42:16Z","abstract_excerpt":"We study the local behavior of gravitational lensing near fold catastrophes. Using a generic form for the lensing map near a fold, we determine the observable properties of the lensed images, focusing on the case when the individual images are unresolved, i.e., microlensing. Allowing for images not associated with the fold, we derive analytic expressions for the photometric and astrometric behavior near a generic fold caustic. We show how this form reduces to the more familiar linear caustic, which lenses a nearby source into two images which have equal magnification, opposite parity, and are "},"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":"astro-ph/0112531","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2001-12-22T01:42:16Z","cross_cats_sorted":[],"title_canon_sha256":"6fcd0d299aa86ddfd6ea7ba6a873009fec09469a28562419cdb0a59940bbbc9d","abstract_canon_sha256":"14beedefd0a9e6eb7c53ce87a662df1e51a84f38f60e8ed71e2bf80e50b8ed1b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:24:48.878349Z","signature_b64":"Fs9ClopMbl714E47dQq1jX3ZffuZap59XsP89hhLCJB9lNllId+/khzR3qMKp6yfWdqgaQBxE+aHgzb0r5kgCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6c887308802cb80873d35d69f875668bb2d09b5f482760ef3b7fc57bcdc2003","last_reissued_at":"2026-07-04T16:24:48.877959Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:24:48.877959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gravitational Microlensing Near Caustics I: Folds","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"A. O. Petters (Duke), B. Scott Gaudi (IAS)","submitted_at":"2001-12-22T01:42:16Z","abstract_excerpt":"We study the local behavior of gravitational lensing near fold catastrophes. Using a generic form for the lensing map near a fold, we determine the observable properties of the lensed images, focusing on the case when the individual images are unresolved, i.e., microlensing. Allowing for images not associated with the fold, we derive analytic expressions for the photometric and astrometric behavior near a generic fold caustic. We show how this form reduces to the more familiar linear caustic, which lenses a nearby source into two images which have equal magnification, opposite parity, and are "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0112531","kind":"arxiv","version":4},"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/astro-ph/0112531/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":"astro-ph/0112531","created_at":"2026-07-04T16:24:48.878021+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0112531v4","created_at":"2026-07-04T16:24:48.878021+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0112531","created_at":"2026-07-04T16:24:48.878021+00:00"},{"alias_kind":"pith_short_12","alias_value":"23EIOMEIALFY","created_at":"2026-07-04T16:24:48.878021+00:00"},{"alias_kind":"pith_short_16","alias_value":"23EIOMEIALFYBBZ5","created_at":"2026-07-04T16:24:48.878021+00:00"},{"alias_kind":"pith_short_8","alias_value":"23EIOMEI","created_at":"2026-07-04T16:24:48.878021+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/23EIOMEIALFYBBZ5GXLJ7B2WNC","json":"https://pith.science/pith/23EIOMEIALFYBBZ5GXLJ7B2WNC.json","graph_json":"https://pith.science/api/pith-number/23EIOMEIALFYBBZ5GXLJ7B2WNC/graph.json","events_json":"https://pith.science/api/pith-number/23EIOMEIALFYBBZ5GXLJ7B2WNC/events.json","paper":"https://pith.science/paper/23EIOMEI"},"agent_actions":{"view_html":"https://pith.science/pith/23EIOMEIALFYBBZ5GXLJ7B2WNC","download_json":"https://pith.science/pith/23EIOMEIALFYBBZ5GXLJ7B2WNC.json","view_paper":"https://pith.science/paper/23EIOMEI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/0112531&json=true","fetch_graph":"https://pith.science/api/pith-number/23EIOMEIALFYBBZ5GXLJ7B2WNC/graph.json","fetch_events":"https://pith.science/api/pith-number/23EIOMEIALFYBBZ5GXLJ7B2WNC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/23EIOMEIALFYBBZ5GXLJ7B2WNC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/23EIOMEIALFYBBZ5GXLJ7B2WNC/action/storage_attestation","attest_author":"https://pith.science/pith/23EIOMEIALFYBBZ5GXLJ7B2WNC/action/author_attestation","sign_citation":"https://pith.science/pith/23EIOMEIALFYBBZ5GXLJ7B2WNC/action/citation_signature","submit_replication":"https://pith.science/pith/23EIOMEIALFYBBZ5GXLJ7B2WNC/action/replication_record"}},"created_at":"2026-07-04T16:24:48.878021+00:00","updated_at":"2026-07-04T16:24:48.878021+00:00"}