{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:BY2K22IRXIA37RXOXYT4IFMZMA","short_pith_number":"pith:BY2K22IR","schema_version":"1.0","canonical_sha256":"0e34ad6911ba01bfc6eebe27c41599603e3fe6e19f7416be3ce5213832d0e2b0","source":{"kind":"arxiv","id":"1110.1694","version":1},"attestation_state":"computed","paper":{"title":"Shrinking the Quadratic Estimator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","stat.AP"],"primary_cat":"astro-ph.IM","authors_text":"Debashis Paul, Ethan Anderes","submitted_at":"2011-10-08T04:19:47Z","abstract_excerpt":"We study a regression characterization for the quadratic estimator of weak lensing, developed by Hu and Okamoto (2001,2002), for cosmic microwave background observations. This characterization motivates a modification of the quadratic estimator by an adaptive Wiener filter which uses the robust Bayesian techniques described in Strawderman (1971) and Berger (1980). This technique requires the user to propose a fiducial model for the spectral density of the unknown lensing potential but the resulting estimator is developed to be robust to misspecification of this model. The role of the fiducial "},"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":"1110.1694","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-10-08T04:19:47Z","cross_cats_sorted":["astro-ph.CO","stat.AP"],"title_canon_sha256":"1fd80f005d6c74e203c3e32cd01a1cf305a02df6c7f134a6319376c6e6de79de","abstract_canon_sha256":"8d9c95c42da86c7c225cdf229d1e3a2ae8075c418c0f86771fd9bd48f0588747"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:16.216977Z","signature_b64":"95mcZW5Zq9odAkyCi1XyilH+Awztjpj/gWtndaYOtRJBeeoSAxumI5PSyL7ZmXgmoGZijgxz/LaVZltvOEkvAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e34ad6911ba01bfc6eebe27c41599603e3fe6e19f7416be3ce5213832d0e2b0","last_reissued_at":"2026-05-18T02:00:16.216533Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:16.216533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Shrinking the Quadratic Estimator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","stat.AP"],"primary_cat":"astro-ph.IM","authors_text":"Debashis Paul, Ethan Anderes","submitted_at":"2011-10-08T04:19:47Z","abstract_excerpt":"We study a regression characterization for the quadratic estimator of weak lensing, developed by Hu and Okamoto (2001,2002), for cosmic microwave background observations. This characterization motivates a modification of the quadratic estimator by an adaptive Wiener filter which uses the robust Bayesian techniques described in Strawderman (1971) and Berger (1980). This technique requires the user to propose a fiducial model for the spectral density of the unknown lensing potential but the resulting estimator is developed to be robust to misspecification of this model. The role of the fiducial "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1694","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":"1110.1694","created_at":"2026-05-18T02:00:16.216597+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.1694v1","created_at":"2026-05-18T02:00:16.216597+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1694","created_at":"2026-05-18T02:00:16.216597+00:00"},{"alias_kind":"pith_short_12","alias_value":"BY2K22IRXIA3","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BY2K22IRXIA37RXO","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BY2K22IR","created_at":"2026-05-18T12:26:24.575870+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/BY2K22IRXIA37RXOXYT4IFMZMA","json":"https://pith.science/pith/BY2K22IRXIA37RXOXYT4IFMZMA.json","graph_json":"https://pith.science/api/pith-number/BY2K22IRXIA37RXOXYT4IFMZMA/graph.json","events_json":"https://pith.science/api/pith-number/BY2K22IRXIA37RXOXYT4IFMZMA/events.json","paper":"https://pith.science/paper/BY2K22IR"},"agent_actions":{"view_html":"https://pith.science/pith/BY2K22IRXIA37RXOXYT4IFMZMA","download_json":"https://pith.science/pith/BY2K22IRXIA37RXOXYT4IFMZMA.json","view_paper":"https://pith.science/paper/BY2K22IR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.1694&json=true","fetch_graph":"https://pith.science/api/pith-number/BY2K22IRXIA37RXOXYT4IFMZMA/graph.json","fetch_events":"https://pith.science/api/pith-number/BY2K22IRXIA37RXOXYT4IFMZMA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BY2K22IRXIA37RXOXYT4IFMZMA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BY2K22IRXIA37RXOXYT4IFMZMA/action/storage_attestation","attest_author":"https://pith.science/pith/BY2K22IRXIA37RXOXYT4IFMZMA/action/author_attestation","sign_citation":"https://pith.science/pith/BY2K22IRXIA37RXOXYT4IFMZMA/action/citation_signature","submit_replication":"https://pith.science/pith/BY2K22IRXIA37RXOXYT4IFMZMA/action/replication_record"}},"created_at":"2026-05-18T02:00:16.216597+00:00","updated_at":"2026-05-18T02:00:16.216597+00:00"}