{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1995:3YWMLF6JLGRL5NZJUZPMZ26O6H","short_pith_number":"pith:3YWMLF6J","schema_version":"1.0","canonical_sha256":"de2cc597c959a2beb729a65eccebcef1c1492b249bb5d3317fc0a20711748946","source":{"kind":"arxiv","id":"astro-ph/9501115","version":1},"attestation_state":"computed","paper":{"title":"Variance, Skewness & Kurtosis: results from the APM Cluster Redshift Survey and model predictions","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Enrique Gazta\\~naga, Gavin Dalton, Rupert Croft","submitted_at":"1995-01-31T18:39:53Z","abstract_excerpt":"We estimate the variance $\\xibar_2$, the skewness $\\xibar_3$ and the kurtosis $\\xibar_4$ in the distribution of density fluctuations in a complete sample from the APM Cluster Redshift Survey with 339 clusters and a mean depth $ \\sim 250\\Mpc$. We are able to measure the statistics of fluctuations in spheres of radius $R \\simeq 5-80 \\Mpc$, with reasonable errorbars. The statistics in the cluster distribution follow the hierarchical pattern $\\xibar_J=S_J~\\xibar_2^{J-1}$ with $S_J$ roughly constant, $S_3 \\simeq 2$ and $S_4 \\sim 8$. We analyse the distribution of clusters taken from N-body simulati"},"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/9501115","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1995-01-31T18:39:53Z","cross_cats_sorted":[],"title_canon_sha256":"b978139412c2ed6c0cad2de631e84690c529afb25bc46a41f892fe9dcbf4e970","abstract_canon_sha256":"309db487ff6f6060127736b09223e69dd1339e14bcf0b08112a7dacb7cdfd5c5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:23.865930Z","signature_b64":"T10nygokqVNSJ72gziCdPfdHq5JTIyRRZQVKDptyfVhrN+QpMnAf5YcH2qmNr/9CHiiFELX+3qBeI8VYNX5ZCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de2cc597c959a2beb729a65eccebcef1c1492b249bb5d3317fc0a20711748946","last_reissued_at":"2026-05-18T01:40:23.865186Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:23.865186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Variance, Skewness & Kurtosis: results from the APM Cluster Redshift Survey and model predictions","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Enrique Gazta\\~naga, Gavin Dalton, Rupert Croft","submitted_at":"1995-01-31T18:39:53Z","abstract_excerpt":"We estimate the variance $\\xibar_2$, the skewness $\\xibar_3$ and the kurtosis $\\xibar_4$ in the distribution of density fluctuations in a complete sample from the APM Cluster Redshift Survey with 339 clusters and a mean depth $ \\sim 250\\Mpc$. We are able to measure the statistics of fluctuations in spheres of radius $R \\simeq 5-80 \\Mpc$, with reasonable errorbars. The statistics in the cluster distribution follow the hierarchical pattern $\\xibar_J=S_J~\\xibar_2^{J-1}$ with $S_J$ roughly constant, $S_3 \\simeq 2$ and $S_4 \\sim 8$. We analyse the distribution of clusters taken from N-body simulati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9501115","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":"astro-ph/9501115","created_at":"2026-05-18T01:40:23.865284+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9501115v1","created_at":"2026-05-18T01:40:23.865284+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9501115","created_at":"2026-05-18T01:40:23.865284+00:00"},{"alias_kind":"pith_short_12","alias_value":"3YWMLF6JLGRL","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_16","alias_value":"3YWMLF6JLGRL5NZJ","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_8","alias_value":"3YWMLF6J","created_at":"2026-05-18T12:25:47.102015+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/3YWMLF6JLGRL5NZJUZPMZ26O6H","json":"https://pith.science/pith/3YWMLF6JLGRL5NZJUZPMZ26O6H.json","graph_json":"https://pith.science/api/pith-number/3YWMLF6JLGRL5NZJUZPMZ26O6H/graph.json","events_json":"https://pith.science/api/pith-number/3YWMLF6JLGRL5NZJUZPMZ26O6H/events.json","paper":"https://pith.science/paper/3YWMLF6J"},"agent_actions":{"view_html":"https://pith.science/pith/3YWMLF6JLGRL5NZJUZPMZ26O6H","download_json":"https://pith.science/pith/3YWMLF6JLGRL5NZJUZPMZ26O6H.json","view_paper":"https://pith.science/paper/3YWMLF6J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/9501115&json=true","fetch_graph":"https://pith.science/api/pith-number/3YWMLF6JLGRL5NZJUZPMZ26O6H/graph.json","fetch_events":"https://pith.science/api/pith-number/3YWMLF6JLGRL5NZJUZPMZ26O6H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3YWMLF6JLGRL5NZJUZPMZ26O6H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3YWMLF6JLGRL5NZJUZPMZ26O6H/action/storage_attestation","attest_author":"https://pith.science/pith/3YWMLF6JLGRL5NZJUZPMZ26O6H/action/author_attestation","sign_citation":"https://pith.science/pith/3YWMLF6JLGRL5NZJUZPMZ26O6H/action/citation_signature","submit_replication":"https://pith.science/pith/3YWMLF6JLGRL5NZJUZPMZ26O6H/action/replication_record"}},"created_at":"2026-05-18T01:40:23.865284+00:00","updated_at":"2026-05-18T01:40:23.865284+00:00"}