{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SEBSVHEVIH6VELBMRJ6TRFVE4O","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":"50d56b59e1b8b98ec95919dfdce63563ef863f075d85a92eba300b08018f434f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-07-23T16:47:01Z","title_canon_sha256":"5fc630259fb143c2c9f8888c17ee4d686e7c30ee04c434aafb54fe3c305ed158"},"schema_version":"1.0","source":{"id":"1307.6149","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.6149","created_at":"2026-05-18T01:32:01Z"},{"alias_kind":"arxiv_version","alias_value":"1307.6149v3","created_at":"2026-05-18T01:32:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6149","created_at":"2026-05-18T01:32:01Z"},{"alias_kind":"pith_short_12","alias_value":"SEBSVHEVIH6V","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SEBSVHEVIH6VELBM","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SEBSVHEV","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:5e717c5bff3a9eff2df2143ddbc192e2d81272c9c538d60c69fe0b1afce5c4aa","target":"graph","created_at":"2026-05-18T01:32:01Z","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":"We investigate a new natural class $\\mathcal{J}$ of probability distributions modeling large claim sizes, motivated by the `principle of one big jump'. Though significantly more general than the (sub-)class of subexponential distributions $\\mathcal{S}$, many important and desirable structural properties can still be derived. We establish relations to many other important large claim distribution classes (such as $\\mathcal{D}$, $\\mathcal{S}$, $\\mathcal{L}$, $\\mathcal {K}$, $\\mathcal{OS}$ and $\\mathcal{OL}$), discuss the stability of $\\mathcal{J}$ under tail-equivalence, convolution, convolution","authors_text":"Jochen Blath, Michael Scheutzow, Sergej Beck","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-07-23T16:47:01Z","title":"A new class of large claim size distributions: Definition, properties, and ruin theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6149","kind":"arxiv","version":3},"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:bbbffe6e6b26d1c53f4ba3c31ef998601591e546f94501b19a2f40eec6b24ed2","target":"record","created_at":"2026-05-18T01:32:01Z","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":"50d56b59e1b8b98ec95919dfdce63563ef863f075d85a92eba300b08018f434f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-07-23T16:47:01Z","title_canon_sha256":"5fc630259fb143c2c9f8888c17ee4d686e7c30ee04c434aafb54fe3c305ed158"},"schema_version":"1.0","source":{"id":"1307.6149","kind":"arxiv","version":3}},"canonical_sha256":"91032a9c9541fd522c2c8a7d3896a4e3b014a07e4a233fca5179d3121a85d98a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91032a9c9541fd522c2c8a7d3896a4e3b014a07e4a233fca5179d3121a85d98a","first_computed_at":"2026-05-18T01:32:01.428310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:01.428310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JMZ4iAIS8STlgorNiN8oWPsGu8B+rNZwQBCOQ8SDPP+ZvYik6A4qcmxq9dYRlOWPT5VvtNM630zBofXq/KYNBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:01.428822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.6149","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbbffe6e6b26d1c53f4ba3c31ef998601591e546f94501b19a2f40eec6b24ed2","sha256:5e717c5bff3a9eff2df2143ddbc192e2d81272c9c538d60c69fe0b1afce5c4aa"],"state_sha256":"5c5c4dd1348cba7fc0a635990f1cdf015ceb03a42151c06179be2e9e6b273dd9"}