{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:BZKMAN5YHMFQ3C7JRIVNUT4RX2","short_pith_number":"pith:BZKMAN5Y","schema_version":"1.0","canonical_sha256":"0e54c037b83b0b0d8be98a2ada4f91be9c7c48176c273b01ae3d03ec6e10adf6","source":{"kind":"arxiv","id":"2308.15073","version":1},"attestation_state":"computed","paper":{"title":"Theoretical Analysis of Random Scattering Induced by Microlensing","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"astro-ph.GA","authors_text":"Guoliang Li, Hou-Zun Chen, Wenwen Zheng, Xuechun Chen","submitted_at":"2023-08-29T07:13:33Z","abstract_excerpt":"Theoretical investigations into the deflection angle caused by microlenses offer a direct path to uncovering principles of the cosmological microlensing effect. This work specifically concentrates on the the probability density function (PDF) of the light deflection angle induced by microlenses. We have made several significant improvements to the widely used formula from Katz et al. First, we update the coefficient from 3.05 to 1.454, resulting in a better fit between the theoretical PDF and our simulation results. Second, we developed an elegant fitting formula for the PDF that can replace i"},"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":"2308.15073","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2023-08-29T07:13:33Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"f191106ca3926bbe91fcc26580e34dede849e443b9b5fa23650bf5b4cf934824","abstract_canon_sha256":"ca07f95411d5e8ede7dc5c64e1b37abe2988eafcf6e1e77bda5abf862c4e1298"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:45:43.017688Z","signature_b64":"C3No1+nfyF2MlbNeIPiEH3hVdzEJDBKxZvR8B/1t5wc4+4BkXvUeqlRswdmxeDK2cxSE3Tgf0+8V6yPkz9sPAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e54c037b83b0b0d8be98a2ada4f91be9c7c48176c273b01ae3d03ec6e10adf6","last_reissued_at":"2026-07-05T06:45:43.017267Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:45:43.017267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theoretical Analysis of Random Scattering Induced by Microlensing","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"astro-ph.GA","authors_text":"Guoliang Li, Hou-Zun Chen, Wenwen Zheng, Xuechun Chen","submitted_at":"2023-08-29T07:13:33Z","abstract_excerpt":"Theoretical investigations into the deflection angle caused by microlenses offer a direct path to uncovering principles of the cosmological microlensing effect. This work specifically concentrates on the the probability density function (PDF) of the light deflection angle induced by microlenses. We have made several significant improvements to the widely used formula from Katz et al. First, we update the coefficient from 3.05 to 1.454, resulting in a better fit between the theoretical PDF and our simulation results. Second, we developed an elegant fitting formula for the PDF that can replace i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.15073","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/2308.15073/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":"2308.15073","created_at":"2026-07-05T06:45:43.017321+00:00"},{"alias_kind":"arxiv_version","alias_value":"2308.15073v1","created_at":"2026-07-05T06:45:43.017321+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.15073","created_at":"2026-07-05T06:45:43.017321+00:00"},{"alias_kind":"pith_short_12","alias_value":"BZKMAN5YHMFQ","created_at":"2026-07-05T06:45:43.017321+00:00"},{"alias_kind":"pith_short_16","alias_value":"BZKMAN5YHMFQ3C7J","created_at":"2026-07-05T06:45:43.017321+00:00"},{"alias_kind":"pith_short_8","alias_value":"BZKMAN5Y","created_at":"2026-07-05T06:45:43.017321+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.05303","citing_title":"Forecast of gravitationally lensed Type Ia supernovae time delay measurement by Muztage-Ata 1.93m Synergy Telescope","ref_index":50,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BZKMAN5YHMFQ3C7JRIVNUT4RX2","json":"https://pith.science/pith/BZKMAN5YHMFQ3C7JRIVNUT4RX2.json","graph_json":"https://pith.science/api/pith-number/BZKMAN5YHMFQ3C7JRIVNUT4RX2/graph.json","events_json":"https://pith.science/api/pith-number/BZKMAN5YHMFQ3C7JRIVNUT4RX2/events.json","paper":"https://pith.science/paper/BZKMAN5Y"},"agent_actions":{"view_html":"https://pith.science/pith/BZKMAN5YHMFQ3C7JRIVNUT4RX2","download_json":"https://pith.science/pith/BZKMAN5YHMFQ3C7JRIVNUT4RX2.json","view_paper":"https://pith.science/paper/BZKMAN5Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2308.15073&json=true","fetch_graph":"https://pith.science/api/pith-number/BZKMAN5YHMFQ3C7JRIVNUT4RX2/graph.json","fetch_events":"https://pith.science/api/pith-number/BZKMAN5YHMFQ3C7JRIVNUT4RX2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BZKMAN5YHMFQ3C7JRIVNUT4RX2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BZKMAN5YHMFQ3C7JRIVNUT4RX2/action/storage_attestation","attest_author":"https://pith.science/pith/BZKMAN5YHMFQ3C7JRIVNUT4RX2/action/author_attestation","sign_citation":"https://pith.science/pith/BZKMAN5YHMFQ3C7JRIVNUT4RX2/action/citation_signature","submit_replication":"https://pith.science/pith/BZKMAN5YHMFQ3C7JRIVNUT4RX2/action/replication_record"}},"created_at":"2026-07-05T06:45:43.017321+00:00","updated_at":"2026-07-05T06:45:43.017321+00:00"}