{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:FNXIJTSNOX432IQ2XNQCSIVZR7","short_pith_number":"pith:FNXIJTSN","schema_version":"1.0","canonical_sha256":"2b6e84ce4d75f9bd221abb602922b98fc6960f5528e212f94bf88201038bec89","source":{"kind":"arxiv","id":"1606.09397","version":2},"attestation_state":"computed","paper":{"title":"Approaching the Cramer-Rao Bound in Weak Lensing with PDF Symmetrization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"astro-ph.CO","authors_text":"Jun Zhang (SJTU), Pengjie Zhang (SJTU), Wentao Luo (SHAO)","submitted_at":"2016-06-30T09:07:42Z","abstract_excerpt":"Weak lensing statistics is typically measured as weighted sum of shear estimators or their products (shear-shear correlation). The weighting schemes are designed in the hope of minimizing the statistical error without introducing systematic errors. It would be ideal to approach the Cramer-Rao bound (the lower bound of the statistical uncertainty) in shear statistics, though it is generally difficult to do so in practice. The reasons may include: difficulties in galaxy shape measurement, inaccurate knowledge of the probability-distribution-function (PDF) of the shear estimator, misidentificatio"},"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":"1606.09397","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-06-30T09:07:42Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"aa89a455c1a8714d10704e1c8830a5635d41c3be0439af3065ab00dd02778c66","abstract_canon_sha256":"81fa41703fe255811bea787a25b9f9a45985ee77b368d1e1254e495ba27c0829"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:02.600330Z","signature_b64":"WkVICRtHwDAKPx88TXSjYjlL/FJnuzZK9Vvp178rSOLVXA6rwSWwE+QpT8yUVdphU4zIxhniskLY7NtDyRoAAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b6e84ce4d75f9bd221abb602922b98fc6960f5528e212f94bf88201038bec89","last_reissued_at":"2026-05-18T00:46:02.599733Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:02.599733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Approaching the Cramer-Rao Bound in Weak Lensing with PDF Symmetrization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"astro-ph.CO","authors_text":"Jun Zhang (SJTU), Pengjie Zhang (SJTU), Wentao Luo (SHAO)","submitted_at":"2016-06-30T09:07:42Z","abstract_excerpt":"Weak lensing statistics is typically measured as weighted sum of shear estimators or their products (shear-shear correlation). The weighting schemes are designed in the hope of minimizing the statistical error without introducing systematic errors. It would be ideal to approach the Cramer-Rao bound (the lower bound of the statistical uncertainty) in shear statistics, though it is generally difficult to do so in practice. The reasons may include: difficulties in galaxy shape measurement, inaccurate knowledge of the probability-distribution-function (PDF) of the shear estimator, misidentificatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09397","kind":"arxiv","version":2},"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":"1606.09397","created_at":"2026-05-18T00:46:02.599808+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.09397v2","created_at":"2026-05-18T00:46:02.599808+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09397","created_at":"2026-05-18T00:46:02.599808+00:00"},{"alias_kind":"pith_short_12","alias_value":"FNXIJTSNOX43","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"FNXIJTSNOX432IQ2","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"FNXIJTSN","created_at":"2026-05-18T12:30:15.759754+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/FNXIJTSNOX432IQ2XNQCSIVZR7","json":"https://pith.science/pith/FNXIJTSNOX432IQ2XNQCSIVZR7.json","graph_json":"https://pith.science/api/pith-number/FNXIJTSNOX432IQ2XNQCSIVZR7/graph.json","events_json":"https://pith.science/api/pith-number/FNXIJTSNOX432IQ2XNQCSIVZR7/events.json","paper":"https://pith.science/paper/FNXIJTSN"},"agent_actions":{"view_html":"https://pith.science/pith/FNXIJTSNOX432IQ2XNQCSIVZR7","download_json":"https://pith.science/pith/FNXIJTSNOX432IQ2XNQCSIVZR7.json","view_paper":"https://pith.science/paper/FNXIJTSN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.09397&json=true","fetch_graph":"https://pith.science/api/pith-number/FNXIJTSNOX432IQ2XNQCSIVZR7/graph.json","fetch_events":"https://pith.science/api/pith-number/FNXIJTSNOX432IQ2XNQCSIVZR7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FNXIJTSNOX432IQ2XNQCSIVZR7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FNXIJTSNOX432IQ2XNQCSIVZR7/action/storage_attestation","attest_author":"https://pith.science/pith/FNXIJTSNOX432IQ2XNQCSIVZR7/action/author_attestation","sign_citation":"https://pith.science/pith/FNXIJTSNOX432IQ2XNQCSIVZR7/action/citation_signature","submit_replication":"https://pith.science/pith/FNXIJTSNOX432IQ2XNQCSIVZR7/action/replication_record"}},"created_at":"2026-05-18T00:46:02.599808+00:00","updated_at":"2026-05-18T00:46:02.599808+00:00"}