{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GHTWIGF5S73IYU34IJZ5LU55J3","short_pith_number":"pith:GHTWIGF5","canonical_record":{"source":{"id":"1405.0595","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-05-03T14:54:20Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"d9e4ded452f9f84b1ba08264568a3b360b15b88f479888662c701203f29c54cc","abstract_canon_sha256":"55bd730322f934ba7b08904b26915b0f90a508a998f8a4ddc47337a9e34541e8"},"schema_version":"1.0"},"canonical_sha256":"31e76418bd97f68c537c4273d5d3bd4efaac523db29507d336e8c88e688fd867","source":{"kind":"arxiv","id":"1405.0595","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0595","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0595v1","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0595","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"pith_short_12","alias_value":"GHTWIGF5S73I","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GHTWIGF5S73IYU34","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GHTWIGF5","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GHTWIGF5S73IYU34IJZ5LU55J3","target":"record","payload":{"canonical_record":{"source":{"id":"1405.0595","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-05-03T14:54:20Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"d9e4ded452f9f84b1ba08264568a3b360b15b88f479888662c701203f29c54cc","abstract_canon_sha256":"55bd730322f934ba7b08904b26915b0f90a508a998f8a4ddc47337a9e34541e8"},"schema_version":"1.0"},"canonical_sha256":"31e76418bd97f68c537c4273d5d3bd4efaac523db29507d336e8c88e688fd867","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:41.130931Z","signature_b64":"zF56+9Lz+2PrJO6LpOhbieGtKx+ILClWukd0qWAhJie5J9EZNQAljjFKvmtwEYgkJcEU7gF33cEJgdx9vCf2Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31e76418bd97f68c537c4273d5d3bd4efaac523db29507d336e8c88e688fd867","last_reissued_at":"2026-05-18T02:52:41.130554Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:41.130554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.0595","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:52:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YlhhlhAfWvKqZayqTlvEkIxaSyHGUAyDQCJC4poFS0iz0jx62y5qGurSzf1+yn3bFFWNZgaOWmbUIxSjUrPbCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:49:16.760846Z"},"content_sha256":"b47a47bfffb932fa2177faa8d67f47bacca7b58be25a8c2737fb498892f44989","schema_version":"1.0","event_id":"sha256:b47a47bfffb932fa2177faa8d67f47bacca7b58be25a8c2737fb498892f44989"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GHTWIGF5S73IYU34IJZ5LU55J3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tail approximation for reinsurance portfolios of Gaussian-like risks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.AP"],"primary_cat":"math.PR","authors_text":"Enkelejd Hashorva, Julia Farkas","submitted_at":"2014-05-03T14:54:20Z","abstract_excerpt":"We consider two different portfolios of proportional reinsurance of the same pool of risks. This contribution is concerned with Gaussian-like risks, which means that for large values the survival function of such risks is, up to a multiplier, the same as that of a standard Gaussian risk. We establish the tail asymptotic behavior of the total loss of each of the reinsurance portfolios and determine also the relation between randomly scaled Gaussian-like portfolios and unscaled ones. Further we show that jointly two portfolios of Gaussian-like risks exhibit asymptotic independence and their weak"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0595","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:52:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T56v8u1iTXUTUN+zCfmeVdRpLgUaCQ/tPDRhw5Qiq4EAVoZWRJOaeojLUMagCBMspDjBa2KIZCV6CCgoznH5BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:49:16.761451Z"},"content_sha256":"6b9b2896138241e2f7ea08fb01d72387e1212737ff9382eafe2f79c5ab0a8390","schema_version":"1.0","event_id":"sha256:6b9b2896138241e2f7ea08fb01d72387e1212737ff9382eafe2f79c5ab0a8390"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GHTWIGF5S73IYU34IJZ5LU55J3/bundle.json","state_url":"https://pith.science/pith/GHTWIGF5S73IYU34IJZ5LU55J3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GHTWIGF5S73IYU34IJZ5LU55J3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T18:49:16Z","links":{"resolver":"https://pith.science/pith/GHTWIGF5S73IYU34IJZ5LU55J3","bundle":"https://pith.science/pith/GHTWIGF5S73IYU34IJZ5LU55J3/bundle.json","state":"https://pith.science/pith/GHTWIGF5S73IYU34IJZ5LU55J3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GHTWIGF5S73IYU34IJZ5LU55J3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GHTWIGF5S73IYU34IJZ5LU55J3","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":"55bd730322f934ba7b08904b26915b0f90a508a998f8a4ddc47337a9e34541e8","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-05-03T14:54:20Z","title_canon_sha256":"d9e4ded452f9f84b1ba08264568a3b360b15b88f479888662c701203f29c54cc"},"schema_version":"1.0","source":{"id":"1405.0595","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0595","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0595v1","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0595","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"pith_short_12","alias_value":"GHTWIGF5S73I","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GHTWIGF5S73IYU34","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GHTWIGF5","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:6b9b2896138241e2f7ea08fb01d72387e1212737ff9382eafe2f79c5ab0a8390","target":"graph","created_at":"2026-05-18T02:52:41Z","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 consider two different portfolios of proportional reinsurance of the same pool of risks. This contribution is concerned with Gaussian-like risks, which means that for large values the survival function of such risks is, up to a multiplier, the same as that of a standard Gaussian risk. We establish the tail asymptotic behavior of the total loss of each of the reinsurance portfolios and determine also the relation between randomly scaled Gaussian-like portfolios and unscaled ones. Further we show that jointly two portfolios of Gaussian-like risks exhibit asymptotic independence and their weak","authors_text":"Enkelejd Hashorva, Julia Farkas","cross_cats":["stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-05-03T14:54:20Z","title":"Tail approximation for reinsurance portfolios of Gaussian-like risks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0595","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:b47a47bfffb932fa2177faa8d67f47bacca7b58be25a8c2737fb498892f44989","target":"record","created_at":"2026-05-18T02:52:41Z","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":"55bd730322f934ba7b08904b26915b0f90a508a998f8a4ddc47337a9e34541e8","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-05-03T14:54:20Z","title_canon_sha256":"d9e4ded452f9f84b1ba08264568a3b360b15b88f479888662c701203f29c54cc"},"schema_version":"1.0","source":{"id":"1405.0595","kind":"arxiv","version":1}},"canonical_sha256":"31e76418bd97f68c537c4273d5d3bd4efaac523db29507d336e8c88e688fd867","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31e76418bd97f68c537c4273d5d3bd4efaac523db29507d336e8c88e688fd867","first_computed_at":"2026-05-18T02:52:41.130554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:41.130554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zF56+9Lz+2PrJO6LpOhbieGtKx+ILClWukd0qWAhJie5J9EZNQAljjFKvmtwEYgkJcEU7gF33cEJgdx9vCf2Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:41.130931Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.0595","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b47a47bfffb932fa2177faa8d67f47bacca7b58be25a8c2737fb498892f44989","sha256:6b9b2896138241e2f7ea08fb01d72387e1212737ff9382eafe2f79c5ab0a8390"],"state_sha256":"ede0ffdd8af19366ebafdc7858ccf7565ab33aa61c4841dadbe0509e34aae489"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dYKPNAyCTpdAY9DoU+oaZcfa2fuPkonpI9BZrwHy2WptmLRjbO/JPNHKj423tH+4UmWaVP6/EIDTlqoaJX81BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T18:49:16.764686Z","bundle_sha256":"3be8ae36fab8b798be247dfa864983d515efb275718cfc1ca64f0c8850af1497"}}