{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:SEBSVHEVIH6VELBMRJ6TRFVE4O","short_pith_number":"pith:SEBSVHEV","schema_version":"1.0","canonical_sha256":"91032a9c9541fd522c2c8a7d3896a4e3b014a07e4a233fca5179d3121a85d98a","source":{"kind":"arxiv","id":"1307.6149","version":3},"attestation_state":"computed","paper":{"title":"A new class of large claim size distributions: Definition, properties, and ruin theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jochen Blath, Michael Scheutzow, Sergej Beck","submitted_at":"2013-07-23T16:47:01Z","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"},"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":"1307.6149","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-07-23T16:47:01Z","cross_cats_sorted":[],"title_canon_sha256":"5fc630259fb143c2c9f8888c17ee4d686e7c30ee04c434aafb54fe3c305ed158","abstract_canon_sha256":"50d56b59e1b8b98ec95919dfdce63563ef863f075d85a92eba300b08018f434f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:01.428822Z","signature_b64":"JMZ4iAIS8STlgorNiN8oWPsGu8B+rNZwQBCOQ8SDPP+ZvYik6A4qcmxq9dYRlOWPT5VvtNM630zBofXq/KYNBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91032a9c9541fd522c2c8a7d3896a4e3b014a07e4a233fca5179d3121a85d98a","last_reissued_at":"2026-05-18T01:32:01.428310Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:01.428310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new class of large claim size distributions: Definition, properties, and ruin theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jochen Blath, Michael Scheutzow, Sergej Beck","submitted_at":"2013-07-23T16:47:01Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6149","kind":"arxiv","version":3},"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":"1307.6149","created_at":"2026-05-18T01:32:01.428400+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.6149v3","created_at":"2026-05-18T01:32:01.428400+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6149","created_at":"2026-05-18T01:32:01.428400+00:00"},{"alias_kind":"pith_short_12","alias_value":"SEBSVHEVIH6V","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_16","alias_value":"SEBSVHEVIH6VELBM","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_8","alias_value":"SEBSVHEV","created_at":"2026-05-18T12:27:59.945178+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/SEBSVHEVIH6VELBMRJ6TRFVE4O","json":"https://pith.science/pith/SEBSVHEVIH6VELBMRJ6TRFVE4O.json","graph_json":"https://pith.science/api/pith-number/SEBSVHEVIH6VELBMRJ6TRFVE4O/graph.json","events_json":"https://pith.science/api/pith-number/SEBSVHEVIH6VELBMRJ6TRFVE4O/events.json","paper":"https://pith.science/paper/SEBSVHEV"},"agent_actions":{"view_html":"https://pith.science/pith/SEBSVHEVIH6VELBMRJ6TRFVE4O","download_json":"https://pith.science/pith/SEBSVHEVIH6VELBMRJ6TRFVE4O.json","view_paper":"https://pith.science/paper/SEBSVHEV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.6149&json=true","fetch_graph":"https://pith.science/api/pith-number/SEBSVHEVIH6VELBMRJ6TRFVE4O/graph.json","fetch_events":"https://pith.science/api/pith-number/SEBSVHEVIH6VELBMRJ6TRFVE4O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SEBSVHEVIH6VELBMRJ6TRFVE4O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SEBSVHEVIH6VELBMRJ6TRFVE4O/action/storage_attestation","attest_author":"https://pith.science/pith/SEBSVHEVIH6VELBMRJ6TRFVE4O/action/author_attestation","sign_citation":"https://pith.science/pith/SEBSVHEVIH6VELBMRJ6TRFVE4O/action/citation_signature","submit_replication":"https://pith.science/pith/SEBSVHEVIH6VELBMRJ6TRFVE4O/action/replication_record"}},"created_at":"2026-05-18T01:32:01.428400+00:00","updated_at":"2026-05-18T01:32:01.428400+00:00"}