{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IBJTUIM6QJNCDJFTFSSWUWMFIY","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":"87dfbf408993ef99adbd39589f9813cdeb569adc42ae4742b7761b6617895645","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.CP","submitted_at":"2013-04-06T03:50:18Z","title_canon_sha256":"bc3d5534164126cb4bf2782385af675332d16502b9ff861ebf66d2d561ff26bc"},"schema_version":"1.0","source":{"id":"1304.1849","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1849","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1849v5","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1849","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"pith_short_12","alias_value":"IBJTUIM6QJNC","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IBJTUIM6QJNCDJFT","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IBJTUIM6","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:7e20fcc6c063b6a6eb872f92f7429d83340061977a4220a2b19ee9d59901a6a7","target":"graph","created_at":"2026-05-18T02:32:39Z","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 find approximate solutions of partial integro-differential equations, which arise in financial models when defaultable assets are described by general scalar L\\'evy-type stochastic processes. We derive rigorous error bounds for the approximate solutions. We also provide numerical examples illustrating the usefulness and versatility of our methods in a variety of financial settings.","authors_text":"Andrea Pascucci, Matthew Lorig, Stefano Pagliarani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.CP","submitted_at":"2013-04-06T03:50:18Z","title":"Pricing approximations and error estimates for local L\\'evy-type models with default"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1849","kind":"arxiv","version":5},"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:e7f2ca3058f3ab6051010d980e2eaaaf01d17ddeed861f2517d54b2a7721ce9b","target":"record","created_at":"2026-05-18T02:32:39Z","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":"87dfbf408993ef99adbd39589f9813cdeb569adc42ae4742b7761b6617895645","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.CP","submitted_at":"2013-04-06T03:50:18Z","title_canon_sha256":"bc3d5534164126cb4bf2782385af675332d16502b9ff861ebf66d2d561ff26bc"},"schema_version":"1.0","source":{"id":"1304.1849","kind":"arxiv","version":5}},"canonical_sha256":"40533a219e825a21a4b32ca56a59854622494c98907ea48b0c97a0554931ca72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40533a219e825a21a4b32ca56a59854622494c98907ea48b0c97a0554931ca72","first_computed_at":"2026-05-18T02:32:39.145937Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:39.145937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X2NerPLCHM9hHQu4BXZQg+Cwp4px7YGHDbrm8EWUrcMv2DNI5Ha8FJSMkJ6PkdeVEV18L1C2QDXJA/Ed7aACDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:39.146501Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.1849","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7f2ca3058f3ab6051010d980e2eaaaf01d17ddeed861f2517d54b2a7721ce9b","sha256:7e20fcc6c063b6a6eb872f92f7429d83340061977a4220a2b19ee9d59901a6a7"],"state_sha256":"9fbf4969a3da143dec0b58575f06145bf7d6bef3fc2fb165c0fbd44219eae727"}