{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IRFBY5RM7PZRJS6RDEZKZ6TNWL","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":"4e3fd9507bedfdfb28082a47e5ff0f3d691af17974f59ec5895082e0103d73f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-01-19T19:05:38Z","title_canon_sha256":"13f4c9754861335e8cbf5b4d5e1cd69fd746c11a25e08e4a9f8b94da88a57aa5"},"schema_version":"1.0","source":{"id":"1701.05568","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05568","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05568v1","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05568","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"pith_short_12","alias_value":"IRFBY5RM7PZR","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IRFBY5RM7PZRJS6R","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IRFBY5RM","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:f5e5bd7196c88e83e89aa9acf46c94046eaa3d009c7c7b53da429035e968c1dc","target":"graph","created_at":"2026-05-18T00:52:29Z","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":"Suppose Xt is either a regular exponential type Levy process or a Levy process with a bounded variation jumps measure. The distribution of the extrema of Xt play a crucial role in many financial and actuarial problems. This article employs the well known and powerful Riemann-Hilbert technique to derive the characteristic functions of the extrema for such Levy processes. An approximation technique along with several examples is given.","authors_text":"Amir T. Payandeh Najafabadi, Dan Kucerovsky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-01-19T19:05:38Z","title":"On the Distribution of Extrema for a Class of L\\'evy Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05568","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":"sha256:911e4cfead41241852b6a3aad8c21cf4b8ba7776b57004e49543f46e3ae34f12","target":"record","created_at":"2026-05-18T00:52:29Z","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":"4e3fd9507bedfdfb28082a47e5ff0f3d691af17974f59ec5895082e0103d73f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-01-19T19:05:38Z","title_canon_sha256":"13f4c9754861335e8cbf5b4d5e1cd69fd746c11a25e08e4a9f8b94da88a57aa5"},"schema_version":"1.0","source":{"id":"1701.05568","kind":"arxiv","version":1}},"canonical_sha256":"444a1c762cfbf314cbd11932acfa6db2c9822d6e1337b6a343712a5be0452eb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"444a1c762cfbf314cbd11932acfa6db2c9822d6e1337b6a343712a5be0452eb6","first_computed_at":"2026-05-18T00:52:29.126018Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:29.126018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FROGqYXXBQXV+3UUo60z+Ev2HgkPt1tH7MvopU5M28ERoEAgxaA1wvbBpB6m2OSe7J9r7AjDmxV64sCLDTE3Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:29.126441Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05568","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:911e4cfead41241852b6a3aad8c21cf4b8ba7776b57004e49543f46e3ae34f12","sha256:f5e5bd7196c88e83e89aa9acf46c94046eaa3d009c7c7b53da429035e968c1dc"],"state_sha256":"0262fd3849b7e6d02c80d0b5766544454d0a60eefee2c5199f412f8fdd27b23d"}