{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:O5AGCZ5CFIOQ7NI3FTKMXRPXLR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2c6f4b8223d15958d40a5b33c32f27aa0dd0393922a3a154662f1b218b09f751","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2021-12-06T07:18:43Z","title_canon_sha256":"f439a27dd26b9579154c5d1e0eb190460ba39acaaa2527026fde500189bd4bc0"},"schema_version":"1.0","source":{"id":"2112.02821","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.02821","created_at":"2026-07-05T03:55:14Z"},{"alias_kind":"arxiv_version","alias_value":"2112.02821v1","created_at":"2026-07-05T03:55:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.02821","created_at":"2026-07-05T03:55:14Z"},{"alias_kind":"pith_short_12","alias_value":"O5AGCZ5CFIOQ","created_at":"2026-07-05T03:55:14Z"},{"alias_kind":"pith_short_16","alias_value":"O5AGCZ5CFIOQ7NI3","created_at":"2026-07-05T03:55:14Z"},{"alias_kind":"pith_short_8","alias_value":"O5AGCZ5C","created_at":"2026-07-05T03:55:14Z"}],"graph_snapshots":[{"event_id":"sha256:d1eb84c1208ca5ff3d3a54735fdf86e15f3d1a8efb90feefbace6ff27a25495a","target":"graph","created_at":"2026-07-05T03:55:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2112.02821/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The observed lensed fraction of high-redshift quasars $(\\sim0.2\\%)$ is significantly lower than previous theoretical predictions $(\\gtrsim4\\%)$. We revisit the lensed fraction of high-redshift quasars predicted by theoretical models, where we adopt recent measurements of galaxy velocity dispersion functions (VDFs) and explore a wide range of quasar luminosity function (QLF) parameters. We use both analytical methods and mock catalogs which give consistent results. For ordinary QLF parameters and the depth of current high-redshift quasar surveys $(m_z\\lesssim22)$, our model suggests a multiply-","authors_text":"Feige Wang, Jinyi Yang, Minghao Yue, Xiaohui Fan","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2021-12-06T07:18:43Z","title":"Revisiting the Lensed Fraction of High-Redshift Quasars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.02821","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:84d2b6d6adb174b81ea72889e2e696b02a0aae063cc5d2f0c77f4bd6a273f1b5","target":"record","created_at":"2026-07-05T03:55:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2c6f4b8223d15958d40a5b33c32f27aa0dd0393922a3a154662f1b218b09f751","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2021-12-06T07:18:43Z","title_canon_sha256":"f439a27dd26b9579154c5d1e0eb190460ba39acaaa2527026fde500189bd4bc0"},"schema_version":"1.0","source":{"id":"2112.02821","kind":"arxiv","version":1}},"canonical_sha256":"77406167a22a1d0fb51b2cd4cbc5f75c5118356b324fd8cc6a70dd3ed485776c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77406167a22a1d0fb51b2cd4cbc5f75c5118356b324fd8cc6a70dd3ed485776c","first_computed_at":"2026-07-05T03:55:14.003174Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:55:14.003174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kdKDn3QYPksHFArCMA/3/nI/LyzhTC29HlnPQAlkC4/qoZUFych7ac5BEerdNAlCWxZWWMAQDI9efxcqhUxgAg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:55:14.003688Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.02821","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84d2b6d6adb174b81ea72889e2e696b02a0aae063cc5d2f0c77f4bd6a273f1b5","sha256:d1eb84c1208ca5ff3d3a54735fdf86e15f3d1a8efb90feefbace6ff27a25495a"],"state_sha256":"547a951bf182be6f26022a8e318d4105462b48e86f9457a4829efa4ed538e5ce"}