{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:TBKNLPSCBIMKDNBJLMEBJNQRYC","short_pith_number":"pith:TBKNLPSC","canonical_record":{"source":{"id":"1709.10295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-09-29T09:16:06Z","cross_cats_sorted":["q-fin.RM"],"title_canon_sha256":"4c01cc76c2d9509af303d8bbcf9fc11b9de97c0da3cab2204d9c40cba78c3611","abstract_canon_sha256":"6c1fb182b5676616d47df634940e1a05a8adddb6f5038ae64eb46adde4121c2c"},"schema_version":"1.0"},"canonical_sha256":"9854d5be420a18a1b4295b0814b611c0831c9aadaae316e1fd683ab1ca5916d4","source":{"kind":"arxiv","id":"1709.10295","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.10295","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"arxiv_version","alias_value":"1709.10295v2","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.10295","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"pith_short_12","alias_value":"TBKNLPSCBIMK","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"TBKNLPSCBIMKDNBJ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"TBKNLPSC","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:TBKNLPSCBIMKDNBJLMEBJNQRYC","target":"record","payload":{"canonical_record":{"source":{"id":"1709.10295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-09-29T09:16:06Z","cross_cats_sorted":["q-fin.RM"],"title_canon_sha256":"4c01cc76c2d9509af303d8bbcf9fc11b9de97c0da3cab2204d9c40cba78c3611","abstract_canon_sha256":"6c1fb182b5676616d47df634940e1a05a8adddb6f5038ae64eb46adde4121c2c"},"schema_version":"1.0"},"canonical_sha256":"9854d5be420a18a1b4295b0814b611c0831c9aadaae316e1fd683ab1ca5916d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:44.512779Z","signature_b64":"8SNNQHA/Tj/fZXPZlzkKKYTdFd6lWNRDiBogGa9aphDCU06Skee9EQLGcPNgfsMcmsmTUcFa0UZjORXX0aVGCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9854d5be420a18a1b4295b0814b611c0831c9aadaae316e1fd683ab1ca5916d4","last_reissued_at":"2026-05-18T00:22:44.512310Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:44.512310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.10295","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:22:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DYcXXrXG8o+b508M5CbNuKD3s4u+eM1Vr9XwCPYqjbFNoBVvKsX03HdJDs5AcjltQhLtyQuwpZ6+Z1xdGordCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T08:46:45.627979Z"},"content_sha256":"b330313d77d194056cd3ef3d9419017ccc49af397e37557c5e187b369f265d2f","schema_version":"1.0","event_id":"sha256:b330313d77d194056cd3ef3d9419017ccc49af397e37557c5e187b369f265d2f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:TBKNLPSCBIMKDNBJLMEBJNQRYC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of the Bounds on the Probability of Ruin for L{\\'e}vy Processes with Light-tailed Jumps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.RM"],"primary_cat":"math.PR","authors_text":"J\\'er\\^ome Spielmann (LAREMA)","submitted_at":"2017-09-29T09:16:06Z","abstract_excerpt":"In this note, we study the ultimate ruin probabilities of a real-valued L{\\'e}vy process X with light-tailed negative jumps. It is well-known that, for such L{\\'e}vy processes, the probability of ruin decreases as an exponential function with a rate given by the root of the Laplace exponent, when the initial value goes to infinity. Under the additional assumption that X has integrable positive jumps, we show how a finer analysis of the Laplace exponent gives in fact a complete description of the bounds on the probability of ruin for this class of L{\\'e}vy processes. This leads to the identific"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.10295","kind":"arxiv","version":2},"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":"2026-05-18T00:22:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AxRzbpt8/gVyUceibysRn5EhcSjI7kMvS80OcSaTOOHoM0CV4Wr+TTiDip15O5DxKckkcZHwMaZKtV8sc0nGAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T08:46:45.628330Z"},"content_sha256":"0c0cb1c9a2fee4b15d622188aab0577ef037922f98576f8b1c71821917519e92","schema_version":"1.0","event_id":"sha256:0c0cb1c9a2fee4b15d622188aab0577ef037922f98576f8b1c71821917519e92"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TBKNLPSCBIMKDNBJLMEBJNQRYC/bundle.json","state_url":"https://pith.science/pith/TBKNLPSCBIMKDNBJLMEBJNQRYC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TBKNLPSCBIMKDNBJLMEBJNQRYC/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":"2026-06-25T08:46:45Z","links":{"resolver":"https://pith.science/pith/TBKNLPSCBIMKDNBJLMEBJNQRYC","bundle":"https://pith.science/pith/TBKNLPSCBIMKDNBJLMEBJNQRYC/bundle.json","state":"https://pith.science/pith/TBKNLPSCBIMKDNBJLMEBJNQRYC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TBKNLPSCBIMKDNBJLMEBJNQRYC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TBKNLPSCBIMKDNBJLMEBJNQRYC","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":"6c1fb182b5676616d47df634940e1a05a8adddb6f5038ae64eb46adde4121c2c","cross_cats_sorted":["q-fin.RM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-09-29T09:16:06Z","title_canon_sha256":"4c01cc76c2d9509af303d8bbcf9fc11b9de97c0da3cab2204d9c40cba78c3611"},"schema_version":"1.0","source":{"id":"1709.10295","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.10295","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"arxiv_version","alias_value":"1709.10295v2","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.10295","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"pith_short_12","alias_value":"TBKNLPSCBIMK","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"TBKNLPSCBIMKDNBJ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"TBKNLPSC","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:0c0cb1c9a2fee4b15d622188aab0577ef037922f98576f8b1c71821917519e92","target":"graph","created_at":"2026-05-18T00:22:44Z","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":"In this note, we study the ultimate ruin probabilities of a real-valued L{\\'e}vy process X with light-tailed negative jumps. It is well-known that, for such L{\\'e}vy processes, the probability of ruin decreases as an exponential function with a rate given by the root of the Laplace exponent, when the initial value goes to infinity. Under the additional assumption that X has integrable positive jumps, we show how a finer analysis of the Laplace exponent gives in fact a complete description of the bounds on the probability of ruin for this class of L{\\'e}vy processes. This leads to the identific","authors_text":"J\\'er\\^ome Spielmann (LAREMA)","cross_cats":["q-fin.RM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-09-29T09:16:06Z","title":"Classification of the Bounds on the Probability of Ruin for L{\\'e}vy Processes with Light-tailed Jumps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.10295","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:b330313d77d194056cd3ef3d9419017ccc49af397e37557c5e187b369f265d2f","target":"record","created_at":"2026-05-18T00:22:44Z","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":"6c1fb182b5676616d47df634940e1a05a8adddb6f5038ae64eb46adde4121c2c","cross_cats_sorted":["q-fin.RM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-09-29T09:16:06Z","title_canon_sha256":"4c01cc76c2d9509af303d8bbcf9fc11b9de97c0da3cab2204d9c40cba78c3611"},"schema_version":"1.0","source":{"id":"1709.10295","kind":"arxiv","version":2}},"canonical_sha256":"9854d5be420a18a1b4295b0814b611c0831c9aadaae316e1fd683ab1ca5916d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9854d5be420a18a1b4295b0814b611c0831c9aadaae316e1fd683ab1ca5916d4","first_computed_at":"2026-05-18T00:22:44.512310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:44.512310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8SNNQHA/Tj/fZXPZlzkKKYTdFd6lWNRDiBogGa9aphDCU06Skee9EQLGcPNgfsMcmsmTUcFa0UZjORXX0aVGCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:44.512779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.10295","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b330313d77d194056cd3ef3d9419017ccc49af397e37557c5e187b369f265d2f","sha256:0c0cb1c9a2fee4b15d622188aab0577ef037922f98576f8b1c71821917519e92"],"state_sha256":"d9a1c3928f9bc4addd859d052538bb2cf2ad4e770192d2e6788d0bb8589ab8d4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VKKPjvhFA/jHXaQ5WGwPW8moDWS7qMjCIguvBVpSNh06dKKqiN8KXThqBiE7Ile8lBp5dofQHwK7ljqIhSrNBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T08:46:45.630196Z","bundle_sha256":"6097ea63f19f3f0b5f8b9942eb132f8747c9db5ad900d5ce8a6acc562d10dec1"}}