{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:V3WPVZJRMTCY7PFNO3UG2HCV2H","short_pith_number":"pith:V3WPVZJR","schema_version":"1.0","canonical_sha256":"aeecfae53164c58fbcad76e86d1c55d1d70ffbfd107d415405b43651d4821b57","source":{"kind":"arxiv","id":"astro-ph/0402428","version":2},"attestation_state":"computed","paper":{"title":"Unbiased Estimation of an Angular Power Spectrum","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"A.Balbi, D.Marinucci, E.Hivon, G.Polenta, N.Vittorio, P.de Bernardis, P.Natoli, S.Masi","submitted_at":"2004-02-18T10:08:03Z","abstract_excerpt":"We discuss the derivation of the analytic properties of the cross-power spectrum estimator from multi-detector CMB anisotropy maps. The method is computationally convenient and it provides unbiased estimates under very broad assumptions. We also propose a new procedure for testing for the presence of residual bias due to inappropriate noise subtraction in pseudo-$C_{\\ell}$ estimates. We derive the analytic behavior of this procedure under the null hypothesis, and use Monte Carlo simulations to investigate its efficiency properties, which appear very promising. For instance, for full sky maps w"},"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/0402428","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2004-02-18T10:08:03Z","cross_cats_sorted":[],"title_canon_sha256":"49c007665c2db63d921894a1ffba98aa0486642808d038b765f86b4766a55d62","abstract_canon_sha256":"a4fe85b9104d4fe4ab39c074cb8ec66cb17e1a5262f7f85407c2c8dff3cd6454"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:49:36.977499Z","signature_b64":"P68IW8C/tAHY5N/z1+3Sd/SmJlEgV9/I6AURXLaEGy0QqtaYjhAi9025JMWB/McZm2FA2zNbZx3yu3JTvxfTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aeecfae53164c58fbcad76e86d1c55d1d70ffbfd107d415405b43651d4821b57","last_reissued_at":"2026-07-04T14:49:36.977090Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:49:36.977090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unbiased Estimation of an Angular Power Spectrum","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"A.Balbi, D.Marinucci, E.Hivon, G.Polenta, N.Vittorio, P.de Bernardis, P.Natoli, S.Masi","submitted_at":"2004-02-18T10:08:03Z","abstract_excerpt":"We discuss the derivation of the analytic properties of the cross-power spectrum estimator from multi-detector CMB anisotropy maps. The method is computationally convenient and it provides unbiased estimates under very broad assumptions. We also propose a new procedure for testing for the presence of residual bias due to inappropriate noise subtraction in pseudo-$C_{\\ell}$ estimates. We derive the analytic behavior of this procedure under the null hypothesis, and use Monte Carlo simulations to investigate its efficiency properties, which appear very promising. For instance, for full sky maps w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0402428","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0402428/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/0402428","created_at":"2026-07-04T14:49:36.977147+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0402428v2","created_at":"2026-07-04T14:49:36.977147+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0402428","created_at":"2026-07-04T14:49:36.977147+00:00"},{"alias_kind":"pith_short_12","alias_value":"V3WPVZJRMTCY","created_at":"2026-07-04T14:49:36.977147+00:00"},{"alias_kind":"pith_short_16","alias_value":"V3WPVZJRMTCY7PFN","created_at":"2026-07-04T14:49:36.977147+00:00"},{"alias_kind":"pith_short_8","alias_value":"V3WPVZJR","created_at":"2026-07-04T14:49:36.977147+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2603.11026","citing_title":"Blind mitigation of foreground-induced biases on primordial $B$ modes for ground-based CMB experiments","ref_index":46,"is_internal_anchor":true},{"citing_arxiv_id":"2604.14088","citing_title":"BROOM: a python package for model-independent analysis of microwave astronomical data","ref_index":85,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/V3WPVZJRMTCY7PFNO3UG2HCV2H","json":"https://pith.science/pith/V3WPVZJRMTCY7PFNO3UG2HCV2H.json","graph_json":"https://pith.science/api/pith-number/V3WPVZJRMTCY7PFNO3UG2HCV2H/graph.json","events_json":"https://pith.science/api/pith-number/V3WPVZJRMTCY7PFNO3UG2HCV2H/events.json","paper":"https://pith.science/paper/V3WPVZJR"},"agent_actions":{"view_html":"https://pith.science/pith/V3WPVZJRMTCY7PFNO3UG2HCV2H","download_json":"https://pith.science/pith/V3WPVZJRMTCY7PFNO3UG2HCV2H.json","view_paper":"https://pith.science/paper/V3WPVZJR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/0402428&json=true","fetch_graph":"https://pith.science/api/pith-number/V3WPVZJRMTCY7PFNO3UG2HCV2H/graph.json","fetch_events":"https://pith.science/api/pith-number/V3WPVZJRMTCY7PFNO3UG2HCV2H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V3WPVZJRMTCY7PFNO3UG2HCV2H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V3WPVZJRMTCY7PFNO3UG2HCV2H/action/storage_attestation","attest_author":"https://pith.science/pith/V3WPVZJRMTCY7PFNO3UG2HCV2H/action/author_attestation","sign_citation":"https://pith.science/pith/V3WPVZJRMTCY7PFNO3UG2HCV2H/action/citation_signature","submit_replication":"https://pith.science/pith/V3WPVZJRMTCY7PFNO3UG2HCV2H/action/replication_record"}},"created_at":"2026-07-04T14:49:36.977147+00:00","updated_at":"2026-07-04T14:49:36.977147+00:00"}