{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:BPUBYHKDIWHKPOR7SUKRZPCXPR","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":"a4dd5f5398aab953eb1989281778005ea58fe9fa514e073d107a84a0eda769df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-01-28T09:39:53Z","title_canon_sha256":"7a4d45e726dee62274fef79cf46a31ddb5d308e08626b4766f2a5bada9647fd2"},"schema_version":"1.0","source":{"id":"1901.09572","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.09572","created_at":"2026-05-17T23:55:24Z"},{"alias_kind":"arxiv_version","alias_value":"1901.09572v1","created_at":"2026-05-17T23:55:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.09572","created_at":"2026-05-17T23:55:24Z"},{"alias_kind":"pith_short_12","alias_value":"BPUBYHKDIWHK","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BPUBYHKDIWHKPOR7","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BPUBYHKD","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:39271bbaffb3a1faff0f1730a8fa501c6ba0da0347c4d7dad052a298d306bc9b","target":"graph","created_at":"2026-05-17T23:55:24Z","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 present an analytic solution of a differential-difference equation that appears when one solves an optimal stopping time problem with state process following a jump-diffusion process.\n  This equation occurs in the context of real options and finance options, for instance, when one derives the optimal time to undertake a decision. Due to the jump process, the equation is not local in the boundary set. The solution that we present - which takes into account the geometry of the problem - is written in a backward form, and therefore its analysis (along with its implementation) is easy to follow","authors_text":"Ana Prior, Cl\\'audia Nunes, Rita Pimentel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-01-28T09:39:53Z","title":"Study of the Particular Solution of a Hamilton-Jacobi-Bellman Equation for a Jump-Diffusion Process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.09572","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":"sha256:75fbcc90a3acc79211a5d32734d71bf5b85221b26e4f643e5b9c3784ca078e17","target":"record","created_at":"2026-05-17T23:55:24Z","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":"a4dd5f5398aab953eb1989281778005ea58fe9fa514e073d107a84a0eda769df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-01-28T09:39:53Z","title_canon_sha256":"7a4d45e726dee62274fef79cf46a31ddb5d308e08626b4766f2a5bada9647fd2"},"schema_version":"1.0","source":{"id":"1901.09572","kind":"arxiv","version":1}},"canonical_sha256":"0be81c1d43458ea7ba3f95151cbc577c75a10056a00c42c6afd6ddf65037eee7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0be81c1d43458ea7ba3f95151cbc577c75a10056a00c42c6afd6ddf65037eee7","first_computed_at":"2026-05-17T23:55:24.417917Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:24.417917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+sbr5CklBbtEFrRPHSKDCPNOoFeIudApl2GCy+MycrPPnj+UeQWp8o79NLa5XaM3Edx0w0qkAhT8YJClsEm/Bg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:24.418623Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.09572","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75fbcc90a3acc79211a5d32734d71bf5b85221b26e4f643e5b9c3784ca078e17","sha256:39271bbaffb3a1faff0f1730a8fa501c6ba0da0347c4d7dad052a298d306bc9b"],"state_sha256":"e100ed0243fbc1d80d2a7966ca793b4fe31651a28ad2912e18814c3e99ee5ff9"}