{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:XBPVY5VB6QMS723QKGBYH2YNEK","short_pith_number":"pith:XBPVY5VB","schema_version":"1.0","canonical_sha256":"b85f5c76a1f4192feb70518383eb0d22a1d80d617b9aa023e11dba72b3b2d9ce","source":{"kind":"arxiv","id":"1201.5962","version":1},"attestation_state":"computed","paper":{"title":"How many statistics are needed to characterize the univariate extremes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Gane Samb Lo","submitted_at":"2012-01-28T13:55:20Z","abstract_excerpt":"Let $X_{1},X_{2},...$ be a sequence of independent random variables ($rv$) with common distribution function ($df$) $F$ such that $F(1)=0$. We consider the simple statistical problem : find a statistics family of size $m\\geq 1$ whose convergence, in probability or almost surely, to a point of some domain $\\mathcal{S} \\in \\mathbb{R}^{m}$ is equivalent that $F$ lies in the extremal domain of attraction $\\Gamma$. Such a family, whenever it exists, is called an Empirical Characterizing Statistics Family for the EXTtremes (ECSFEXT). The departure point of this theory goes back to Mason, who proved "},"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":"1201.5962","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-01-28T13:55:20Z","cross_cats_sorted":[],"title_canon_sha256":"21b45de40eaa64341765d8b8310e6cc9d7eb2d0f1594fdbf9bf71793abcd5be9","abstract_canon_sha256":"70643b00de77a9d4fb6b0f2625f14bb293d2fe276a247d4a683692716d56a73e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:34.166689Z","signature_b64":"mQ74SyShe2njQbdjobTvsv2xA5Vdn/iAvgFeCig9dC0MCYxp37bsD0szJk+ZaiIMqbDvlwLWRZeWcc17QRPZAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b85f5c76a1f4192feb70518383eb0d22a1d80d617b9aa023e11dba72b3b2d9ce","last_reissued_at":"2026-05-18T04:03:34.166138Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:34.166138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"How many statistics are needed to characterize the univariate extremes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Gane Samb Lo","submitted_at":"2012-01-28T13:55:20Z","abstract_excerpt":"Let $X_{1},X_{2},...$ be a sequence of independent random variables ($rv$) with common distribution function ($df$) $F$ such that $F(1)=0$. We consider the simple statistical problem : find a statistics family of size $m\\geq 1$ whose convergence, in probability or almost surely, to a point of some domain $\\mathcal{S} \\in \\mathbb{R}^{m}$ is equivalent that $F$ lies in the extremal domain of attraction $\\Gamma$. Such a family, whenever it exists, is called an Empirical Characterizing Statistics Family for the EXTtremes (ECSFEXT). The departure point of this theory goes back to Mason, who proved "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5962","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":"1201.5962","created_at":"2026-05-18T04:03:34.166219+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.5962v1","created_at":"2026-05-18T04:03:34.166219+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5962","created_at":"2026-05-18T04:03:34.166219+00:00"},{"alias_kind":"pith_short_12","alias_value":"XBPVY5VB6QMS","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_16","alias_value":"XBPVY5VB6QMS723Q","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_8","alias_value":"XBPVY5VB","created_at":"2026-05-18T12:27:27.928770+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/XBPVY5VB6QMS723QKGBYH2YNEK","json":"https://pith.science/pith/XBPVY5VB6QMS723QKGBYH2YNEK.json","graph_json":"https://pith.science/api/pith-number/XBPVY5VB6QMS723QKGBYH2YNEK/graph.json","events_json":"https://pith.science/api/pith-number/XBPVY5VB6QMS723QKGBYH2YNEK/events.json","paper":"https://pith.science/paper/XBPVY5VB"},"agent_actions":{"view_html":"https://pith.science/pith/XBPVY5VB6QMS723QKGBYH2YNEK","download_json":"https://pith.science/pith/XBPVY5VB6QMS723QKGBYH2YNEK.json","view_paper":"https://pith.science/paper/XBPVY5VB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.5962&json=true","fetch_graph":"https://pith.science/api/pith-number/XBPVY5VB6QMS723QKGBYH2YNEK/graph.json","fetch_events":"https://pith.science/api/pith-number/XBPVY5VB6QMS723QKGBYH2YNEK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XBPVY5VB6QMS723QKGBYH2YNEK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XBPVY5VB6QMS723QKGBYH2YNEK/action/storage_attestation","attest_author":"https://pith.science/pith/XBPVY5VB6QMS723QKGBYH2YNEK/action/author_attestation","sign_citation":"https://pith.science/pith/XBPVY5VB6QMS723QKGBYH2YNEK/action/citation_signature","submit_replication":"https://pith.science/pith/XBPVY5VB6QMS723QKGBYH2YNEK/action/replication_record"}},"created_at":"2026-05-18T04:03:34.166219+00:00","updated_at":"2026-05-18T04:03:34.166219+00:00"}