{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:SPL7CC7T3DY6VUQH56SDWME52G","short_pith_number":"pith:SPL7CC7T","schema_version":"1.0","canonical_sha256":"93d7f10bf3d8f1ead207efa43b309dd1829527840394850f998b9a416411a83d","source":{"kind":"arxiv","id":"1107.5617","version":2},"attestation_state":"computed","paper":{"title":"Primordial Non-Gaussianity and Extreme-Value Statistics of Galaxy Clusters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"astro-ph.CO","authors_text":"Joseph Silk (Oxford), Sirichai Chongchitnan","submitted_at":"2011-07-28T02:14:39Z","abstract_excerpt":"What is the size of the most massive object one expects to find in a survey of a given volume? In this paper, we present a solution to this problem using Extreme-Value Statistics, taking into account primordial non-Gaussianity and its effects on the abundance and the clustering of rare objects. We calculate the probability density function (pdf) of extreme-mass clusters in a survey volume, and show how primordial non-Gaussianity shifts the peak of this pdf. We also study the sensitivity of the extreme-value pdfs to changes in the mass functions, survey volume, redshift coverage and the normali"},"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":"1107.5617","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-07-28T02:14:39Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"c1bfc2ad06761a6de6bee28d84e6e414905522e2d6fd2ac0361e560596846b17","abstract_canon_sha256":"3a0c76ecbacf149c3947714e89a2ee3d205e1d6cd61ebcbf09cb85691043b71b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:08.587371Z","signature_b64":"GrbbMWM7vnUyKx+w41TjTYuyLQUeB6Vazpggq4J2t5UiqWM0TxKvBgSKEQeAaybrLf7io5kVWLAXr2UsPBxLBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93d7f10bf3d8f1ead207efa43b309dd1829527840394850f998b9a416411a83d","last_reissued_at":"2026-05-18T02:01:08.586810Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:08.586810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Primordial Non-Gaussianity and Extreme-Value Statistics of Galaxy Clusters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"astro-ph.CO","authors_text":"Joseph Silk (Oxford), Sirichai Chongchitnan","submitted_at":"2011-07-28T02:14:39Z","abstract_excerpt":"What is the size of the most massive object one expects to find in a survey of a given volume? In this paper, we present a solution to this problem using Extreme-Value Statistics, taking into account primordial non-Gaussianity and its effects on the abundance and the clustering of rare objects. We calculate the probability density function (pdf) of extreme-mass clusters in a survey volume, and show how primordial non-Gaussianity shifts the peak of this pdf. We also study the sensitivity of the extreme-value pdfs to changes in the mass functions, survey volume, redshift coverage and the normali"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5617","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":"1107.5617","created_at":"2026-05-18T02:01:08.586887+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.5617v2","created_at":"2026-05-18T02:01:08.586887+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5617","created_at":"2026-05-18T02:01:08.586887+00:00"},{"alias_kind":"pith_short_12","alias_value":"SPL7CC7T3DY6","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"SPL7CC7T3DY6VUQH","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"SPL7CC7T","created_at":"2026-05-18T12:26:41.206345+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/SPL7CC7T3DY6VUQH56SDWME52G","json":"https://pith.science/pith/SPL7CC7T3DY6VUQH56SDWME52G.json","graph_json":"https://pith.science/api/pith-number/SPL7CC7T3DY6VUQH56SDWME52G/graph.json","events_json":"https://pith.science/api/pith-number/SPL7CC7T3DY6VUQH56SDWME52G/events.json","paper":"https://pith.science/paper/SPL7CC7T"},"agent_actions":{"view_html":"https://pith.science/pith/SPL7CC7T3DY6VUQH56SDWME52G","download_json":"https://pith.science/pith/SPL7CC7T3DY6VUQH56SDWME52G.json","view_paper":"https://pith.science/paper/SPL7CC7T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.5617&json=true","fetch_graph":"https://pith.science/api/pith-number/SPL7CC7T3DY6VUQH56SDWME52G/graph.json","fetch_events":"https://pith.science/api/pith-number/SPL7CC7T3DY6VUQH56SDWME52G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SPL7CC7T3DY6VUQH56SDWME52G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SPL7CC7T3DY6VUQH56SDWME52G/action/storage_attestation","attest_author":"https://pith.science/pith/SPL7CC7T3DY6VUQH56SDWME52G/action/author_attestation","sign_citation":"https://pith.science/pith/SPL7CC7T3DY6VUQH56SDWME52G/action/citation_signature","submit_replication":"https://pith.science/pith/SPL7CC7T3DY6VUQH56SDWME52G/action/replication_record"}},"created_at":"2026-05-18T02:01:08.586887+00:00","updated_at":"2026-05-18T02:01:08.586887+00:00"}