{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KPCXHV57MOYHDOWSME2OJUZDXC","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":"1f12c04d5d33cc34adabe6e4dc9b1603fe3c7598ab77b5a2490430b7716d4761","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-08-03T14:32:12Z","title_canon_sha256":"a17431156a0aeb3ad410c57924f8d6cf358170d8f6d3e76f32ca14f7e9a48cec"},"schema_version":"1.0","source":{"id":"1108.0853","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.0853","created_at":"2026-05-18T04:02:52Z"},{"alias_kind":"arxiv_version","alias_value":"1108.0853v1","created_at":"2026-05-18T04:02:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0853","created_at":"2026-05-18T04:02:52Z"},{"alias_kind":"pith_short_12","alias_value":"KPCXHV57MOYH","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"KPCXHV57MOYHDOWS","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"KPCXHV57","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:65cd22b9599ca3acd592944b5bb0ea8d2b6b4c69f5c90800a51ce72728c34eb6","target":"graph","created_at":"2026-05-18T04:02:52Z","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":"Let $\\bm X=(X_1,...,X_d)$ be a random vector, whose components are not necessarily independent nor are they required to have identical distribution functions $F_1,...,F_d$. Denote by $N_s$ the number of exceedances among $X_1,...,X_d$ above a high threshold $s$. The fragility index, defined by $FI=\\lim_{s\\nearrow}E(N_s\\mid N_s>0)$ if this limit exists, measures the asymptotic stability of the stochastic system $\\bm X$ as the threshold increases. The system is called stable if $FI=1$ and fragile otherwise. In this paper we show that the asymptotic conditional distribution of exceedance counts (","authors_text":"Diana Tichy, Michael Falk","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-08-03T14:32:12Z","title":"Asymptotic Conditional Distribution of Exceedance Counts: Fragility Index with Different Margins"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0853","kind":"arxiv","version":1},"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:b6b0352497de9e788bb750fce9433c08a7efead6eab50bf0f4db1179c6950ddc","target":"record","created_at":"2026-05-18T04:02:52Z","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":"1f12c04d5d33cc34adabe6e4dc9b1603fe3c7598ab77b5a2490430b7716d4761","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-08-03T14:32:12Z","title_canon_sha256":"a17431156a0aeb3ad410c57924f8d6cf358170d8f6d3e76f32ca14f7e9a48cec"},"schema_version":"1.0","source":{"id":"1108.0853","kind":"arxiv","version":1}},"canonical_sha256":"53c573d7bf63b071bad26134e4d323b8a4a0e5e84292a7c3869b7dd77df79008","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53c573d7bf63b071bad26134e4d323b8a4a0e5e84292a7c3869b7dd77df79008","first_computed_at":"2026-05-18T04:02:52.654614Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:52.654614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+Ib+4963q96sgPro7k7smFa1x9nCWiQik2lOsx0rdKrq5wVATJwuDzQ+4MoK5rKe1O9yVwxRD4Y1D2MkzMN6CA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:52.655451Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.0853","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6b0352497de9e788bb750fce9433c08a7efead6eab50bf0f4db1179c6950ddc","sha256:65cd22b9599ca3acd592944b5bb0ea8d2b6b4c69f5c90800a51ce72728c34eb6"],"state_sha256":"900be9cd6069f974dfe266b4e189a98ce1ae0ad18b24807be4b2dc6ba238d6c5"}