{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:B55YGH77GB66PJVSQX2CJWYYGS","short_pith_number":"pith:B55YGH77","schema_version":"1.0","canonical_sha256":"0f7b831fff307de7a6b285f424db18348cec1753e3c1b4ae0c46f618ad075573","source":{"kind":"arxiv","id":"astro-ph/0401578","version":3},"attestation_state":"computed","paper":{"title":"Halo Model Analysis of Cluster Statistics","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Eduardo Rozo, Joshua A. Frieman, Scott Dodelson","submitted_at":"2004-01-27T20:46:32Z","abstract_excerpt":"We use the halo model formalism to provide expressions for cluster abundances and bias, as well as estimates for the correlation matrix between these observables. Off-diagonal elements due to scatter in the mass tracer scaling with mass are included, as are observational effects such as biases/scatter in the data, detection rates (completeness), and false detections (purity). We apply the formalism to a hypothetical volume limited optical survey where the cluster mass tracer is chosen to be the number of member galaxies assigned to a cluster. Such a survey can strongly constrain $\\sigma_8$ ($\\"},"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/0401578","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2004-01-27T20:46:32Z","cross_cats_sorted":[],"title_canon_sha256":"0beddf454bdd284e0c2fb141bfa74d7cf51cd701f69c2f5248218b6af996608c","abstract_canon_sha256":"151fc4e03de36500a0c5bf868375ac34ae16ce0ad5fc91f02c7f2912276b7fc6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:19.675998Z","signature_b64":"fj7P+bTK3MZjZGXUW234id8Fl6hJrAatkLf2WaXQbT0ItXvK14dU8wlqYi0WU7rSuhM8AIwaJuh8KT/jOys/DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f7b831fff307de7a6b285f424db18348cec1753e3c1b4ae0c46f618ad075573","last_reissued_at":"2026-05-18T04:22:19.675281Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:19.675281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Halo Model Analysis of Cluster Statistics","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Eduardo Rozo, Joshua A. Frieman, Scott Dodelson","submitted_at":"2004-01-27T20:46:32Z","abstract_excerpt":"We use the halo model formalism to provide expressions for cluster abundances and bias, as well as estimates for the correlation matrix between these observables. Off-diagonal elements due to scatter in the mass tracer scaling with mass are included, as are observational effects such as biases/scatter in the data, detection rates (completeness), and false detections (purity). We apply the formalism to a hypothetical volume limited optical survey where the cluster mass tracer is chosen to be the number of member galaxies assigned to a cluster. Such a survey can strongly constrain $\\sigma_8$ ($\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0401578","kind":"arxiv","version":3},"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":"astro-ph/0401578","created_at":"2026-05-18T04:22:19.675415+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0401578v3","created_at":"2026-05-18T04:22:19.675415+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0401578","created_at":"2026-05-18T04:22:19.675415+00:00"},{"alias_kind":"pith_short_12","alias_value":"B55YGH77GB66","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_16","alias_value":"B55YGH77GB66PJVS","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_8","alias_value":"B55YGH77","created_at":"2026-05-18T12:25:52.051335+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/B55YGH77GB66PJVSQX2CJWYYGS","json":"https://pith.science/pith/B55YGH77GB66PJVSQX2CJWYYGS.json","graph_json":"https://pith.science/api/pith-number/B55YGH77GB66PJVSQX2CJWYYGS/graph.json","events_json":"https://pith.science/api/pith-number/B55YGH77GB66PJVSQX2CJWYYGS/events.json","paper":"https://pith.science/paper/B55YGH77"},"agent_actions":{"view_html":"https://pith.science/pith/B55YGH77GB66PJVSQX2CJWYYGS","download_json":"https://pith.science/pith/B55YGH77GB66PJVSQX2CJWYYGS.json","view_paper":"https://pith.science/paper/B55YGH77","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/0401578&json=true","fetch_graph":"https://pith.science/api/pith-number/B55YGH77GB66PJVSQX2CJWYYGS/graph.json","fetch_events":"https://pith.science/api/pith-number/B55YGH77GB66PJVSQX2CJWYYGS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B55YGH77GB66PJVSQX2CJWYYGS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B55YGH77GB66PJVSQX2CJWYYGS/action/storage_attestation","attest_author":"https://pith.science/pith/B55YGH77GB66PJVSQX2CJWYYGS/action/author_attestation","sign_citation":"https://pith.science/pith/B55YGH77GB66PJVSQX2CJWYYGS/action/citation_signature","submit_replication":"https://pith.science/pith/B55YGH77GB66PJVSQX2CJWYYGS/action/replication_record"}},"created_at":"2026-05-18T04:22:19.675415+00:00","updated_at":"2026-05-18T04:22:19.675415+00:00"}