{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:JVNS5HFXX4DIED652GIEY3VTD5","short_pith_number":"pith:JVNS5HFX","schema_version":"1.0","canonical_sha256":"4d5b2e9cb7bf06820fddd1904c6eb31f7d72692fbbf062724e94ba603080fdff","source":{"kind":"arxiv","id":"1011.3223","version":1},"attestation_state":"computed","paper":{"title":"Reflected generalized BSDEs with random time and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Abouo Elouaflin, Auguste Aman, Modeste N'zi","submitted_at":"2010-11-14T12:21:33Z","abstract_excerpt":"In this paper, we aim to study solutions of reflected generalized BSDEs, involving the integral with respect to a continuous process, which is the local time of the diffusion on the boundary. We consider both a finite random terminal and a infinite horizon. In both case, we establish an existence and uniqueness result. Next, as an application, we get an American pricing option in infinite horizon and we give a probabilistic formula for the viscosity solution of an obstacle problem for elliptic PDEs with a nonlinear Neumann boundary condition."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1011.3223","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-11-14T12:21:33Z","cross_cats_sorted":[],"title_canon_sha256":"f2af8a2ceff0a5dabcd12388e66ae5781adbaccc8bd80057c107470cffe8977f","abstract_canon_sha256":"9ecdb4e60a87212c8aa27c800cb525f00e328c06e194979a9979f10416d9128e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:56.308486Z","signature_b64":"rHNTFo4qa4FECmT7egm4VcM/ylBLLtAmPf37QOxw3iO6wny/wTJILDZs61WQL/QBCfr8BclOgDyCGk1p9IG1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d5b2e9cb7bf06820fddd1904c6eb31f7d72692fbbf062724e94ba603080fdff","last_reissued_at":"2026-05-18T04:35:56.308070Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:56.308070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reflected generalized BSDEs with random time and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Abouo Elouaflin, Auguste Aman, Modeste N'zi","submitted_at":"2010-11-14T12:21:33Z","abstract_excerpt":"In this paper, we aim to study solutions of reflected generalized BSDEs, involving the integral with respect to a continuous process, which is the local time of the diffusion on the boundary. We consider both a finite random terminal and a infinite horizon. In both case, we establish an existence and uniqueness result. Next, as an application, we get an American pricing option in infinite horizon and we give a probabilistic formula for the viscosity solution of an obstacle problem for elliptic PDEs with a nonlinear Neumann boundary condition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3223","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1011.3223","created_at":"2026-05-18T04:35:56.308134+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.3223v1","created_at":"2026-05-18T04:35:56.308134+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3223","created_at":"2026-05-18T04:35:56.308134+00:00"},{"alias_kind":"pith_short_12","alias_value":"JVNS5HFXX4DI","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"JVNS5HFXX4DIED65","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"JVNS5HFX","created_at":"2026-05-18T12:26:09.077623+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JVNS5HFXX4DIED652GIEY3VTD5","json":"https://pith.science/pith/JVNS5HFXX4DIED652GIEY3VTD5.json","graph_json":"https://pith.science/api/pith-number/JVNS5HFXX4DIED652GIEY3VTD5/graph.json","events_json":"https://pith.science/api/pith-number/JVNS5HFXX4DIED652GIEY3VTD5/events.json","paper":"https://pith.science/paper/JVNS5HFX"},"agent_actions":{"view_html":"https://pith.science/pith/JVNS5HFXX4DIED652GIEY3VTD5","download_json":"https://pith.science/pith/JVNS5HFXX4DIED652GIEY3VTD5.json","view_paper":"https://pith.science/paper/JVNS5HFX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.3223&json=true","fetch_graph":"https://pith.science/api/pith-number/JVNS5HFXX4DIED652GIEY3VTD5/graph.json","fetch_events":"https://pith.science/api/pith-number/JVNS5HFXX4DIED652GIEY3VTD5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JVNS5HFXX4DIED652GIEY3VTD5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JVNS5HFXX4DIED652GIEY3VTD5/action/storage_attestation","attest_author":"https://pith.science/pith/JVNS5HFXX4DIED652GIEY3VTD5/action/author_attestation","sign_citation":"https://pith.science/pith/JVNS5HFXX4DIED652GIEY3VTD5/action/citation_signature","submit_replication":"https://pith.science/pith/JVNS5HFXX4DIED652GIEY3VTD5/action/replication_record"}},"created_at":"2026-05-18T04:35:56.308134+00:00","updated_at":"2026-05-18T04:35:56.308134+00:00"}