{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:JGNOXUXMBPTOZC7SPCMU3BGPWB","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6e429841bad67d0ef1ef93c7a49030e411df5ff81158c3ee54a1fba8d1847ed2","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-12-29T17:09:13Z","title_canon_sha256":"c1a4c25213133cd83b9729d3e173d0991fa90705e9905053171a3368e76da22a"},"schema_version":"1.0","source":{"id":"0912.5337","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.5337","created_at":"2026-05-18T03:40:14Z"},{"alias_kind":"arxiv_version","alias_value":"0912.5337v2","created_at":"2026-05-18T03:40:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.5337","created_at":"2026-05-18T03:40:14Z"},{"alias_kind":"pith_short_12","alias_value":"JGNOXUXMBPTO","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"JGNOXUXMBPTOZC7S","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"JGNOXUXM","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:0e2364bad303589f4a2e1d28be51864bb897c574359ae5fa1c00b829ab574012","target":"graph","created_at":"2026-05-18T03:40:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The paper focuses on a class of light-tailed multivariate probability distributions. These are obtained via a transformation of the margins from a heavy-tailed original distribution. This class was introduced in Balkema et al. (J. Multivariate Anal. 101 (2010) 1738-1754). As shown there, for the light-tailed meta distribution the sample clouds, properly scaled, converge onto a deterministic set. The shape of the limit set gives a good description of the relation between extreme observations in different directions. This paper investigates how sensitive the limit shape is to changes in the unde","authors_text":"Guus Balkema, Natalia Nolde, Paul Embrechts","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-12-29T17:09:13Z","title":"Sensitivity of the limit shape of sample clouds from meta densities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.5337","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a993426a6e904a70c54395d72e1e5b6ea9ecb165f4dd01d7f9432a3d13168247","target":"record","created_at":"2026-05-18T03:40:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6e429841bad67d0ef1ef93c7a49030e411df5ff81158c3ee54a1fba8d1847ed2","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-12-29T17:09:13Z","title_canon_sha256":"c1a4c25213133cd83b9729d3e173d0991fa90705e9905053171a3368e76da22a"},"schema_version":"1.0","source":{"id":"0912.5337","kind":"arxiv","version":2}},"canonical_sha256":"499aebd2ec0be6ec8bf278994d84cfb0781f3c7feecf676c76fa4cf6ad5b68a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"499aebd2ec0be6ec8bf278994d84cfb0781f3c7feecf676c76fa4cf6ad5b68a6","first_computed_at":"2026-05-18T03:40:14.721089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:14.721089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yJdSl3T0jMb8VrH+OnBpoP6bpPh0vHKqhPC4h7JgJqO0hhFKNY68kydOUX8Go80mdoC98aI1B3G/bxzv9tXABQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:14.721746Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.5337","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a993426a6e904a70c54395d72e1e5b6ea9ecb165f4dd01d7f9432a3d13168247","sha256:0e2364bad303589f4a2e1d28be51864bb897c574359ae5fa1c00b829ab574012"],"state_sha256":"29c5e004d39b57dfa23bdc4f33789160198d4333483292fb369279c5c803d39d"}