{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:2BC2DO6ZARZZG4F7DI6TYZZIGQ","short_pith_number":"pith:2BC2DO6Z","schema_version":"1.0","canonical_sha256":"d045a1bbd904739370bf1a3d3c6728343e3a7758a0b44e934d008298bdd28b04","source":{"kind":"arxiv","id":"1707.01308","version":1},"attestation_state":"computed","paper":{"title":"Measuring heavy-tailedness of distributions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"stat.ME","authors_text":"Monika P. Petkova, Pavlina K. Jordanova","submitted_at":"2017-07-05T10:43:20Z","abstract_excerpt":"Different questions related with analysis of extreme values and outliers arise frequently in practice. To exclude extremal observations and outliers is not a good decision because they contain important information about the observed distribution. The difficulties with their usage are usually related to the estimation of the tail index in case it exists. There are many measures for the center of the distribution, e.g. mean, mode, median. There are many measures of the variance, asymmetry, and kurtosis, but there is no easy characteristic for heavy-tailedness of the observed distribution. Here "},"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":"1707.01308","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2017-07-05T10:43:20Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"d9dbbaaeafbdb03d6cabe42e8334a4bd69fd4b7fd3f979bac46f31b9085e68ff","abstract_canon_sha256":"3b05d48ababe001a3b2f0bc123b279727c53edb0214dd7bd6db1d9aed05db033"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:56.840471Z","signature_b64":"+N3vCQmqU7rR+I2SGoTFsc7H2noZcoZ9F94Y9i4Ld9s0HwMZLH2/Gy6SENcGeDSsVab97ZXZj7k/0p+3T16WBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d045a1bbd904739370bf1a3d3c6728343e3a7758a0b44e934d008298bdd28b04","last_reissued_at":"2026-05-18T00:25:56.839736Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:56.839736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Measuring heavy-tailedness of distributions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"stat.ME","authors_text":"Monika P. Petkova, Pavlina K. Jordanova","submitted_at":"2017-07-05T10:43:20Z","abstract_excerpt":"Different questions related with analysis of extreme values and outliers arise frequently in practice. To exclude extremal observations and outliers is not a good decision because they contain important information about the observed distribution. The difficulties with their usage are usually related to the estimation of the tail index in case it exists. There are many measures for the center of the distribution, e.g. mean, mode, median. There are many measures of the variance, asymmetry, and kurtosis, but there is no easy characteristic for heavy-tailedness of the observed distribution. Here "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.01308","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":"1707.01308","created_at":"2026-05-18T00:25:56.839840+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.01308v1","created_at":"2026-05-18T00:25:56.839840+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.01308","created_at":"2026-05-18T00:25:56.839840+00:00"},{"alias_kind":"pith_short_12","alias_value":"2BC2DO6ZARZZ","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"2BC2DO6ZARZZG4F7","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"2BC2DO6Z","created_at":"2026-05-18T12:30:55.937587+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/2BC2DO6ZARZZG4F7DI6TYZZIGQ","json":"https://pith.science/pith/2BC2DO6ZARZZG4F7DI6TYZZIGQ.json","graph_json":"https://pith.science/api/pith-number/2BC2DO6ZARZZG4F7DI6TYZZIGQ/graph.json","events_json":"https://pith.science/api/pith-number/2BC2DO6ZARZZG4F7DI6TYZZIGQ/events.json","paper":"https://pith.science/paper/2BC2DO6Z"},"agent_actions":{"view_html":"https://pith.science/pith/2BC2DO6ZARZZG4F7DI6TYZZIGQ","download_json":"https://pith.science/pith/2BC2DO6ZARZZG4F7DI6TYZZIGQ.json","view_paper":"https://pith.science/paper/2BC2DO6Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.01308&json=true","fetch_graph":"https://pith.science/api/pith-number/2BC2DO6ZARZZG4F7DI6TYZZIGQ/graph.json","fetch_events":"https://pith.science/api/pith-number/2BC2DO6ZARZZG4F7DI6TYZZIGQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2BC2DO6ZARZZG4F7DI6TYZZIGQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2BC2DO6ZARZZG4F7DI6TYZZIGQ/action/storage_attestation","attest_author":"https://pith.science/pith/2BC2DO6ZARZZG4F7DI6TYZZIGQ/action/author_attestation","sign_citation":"https://pith.science/pith/2BC2DO6ZARZZG4F7DI6TYZZIGQ/action/citation_signature","submit_replication":"https://pith.science/pith/2BC2DO6ZARZZG4F7DI6TYZZIGQ/action/replication_record"}},"created_at":"2026-05-18T00:25:56.839840+00:00","updated_at":"2026-05-18T00:25:56.839840+00:00"}