{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NJ7OHI5DXI6TXFGGTBSRPG6JI2","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":"5bc7d1d305d6243a76a8ff194a48957f0bcb551a8ada449863661a80f2704ba2","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2017-08-29T10:03:06Z","title_canon_sha256":"60479366ab1dfcb618948ed05aca5222136e8f2b625dadb9b6d2ea3e3bffc116"},"schema_version":"1.0","source":{"id":"1708.08675","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.08675","created_at":"2026-05-18T00:36:26Z"},{"alias_kind":"arxiv_version","alias_value":"1708.08675v1","created_at":"2026-05-18T00:36:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08675","created_at":"2026-05-18T00:36:26Z"},{"alias_kind":"pith_short_12","alias_value":"NJ7OHI5DXI6T","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NJ7OHI5DXI6TXFGG","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NJ7OHI5D","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:f61211a58f2962e8fc524efe15490473ac744e1f5f3d1ec696a58c008e646c49","target":"graph","created_at":"2026-05-18T00:36:26Z","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 study pricing and (super)hedging for American options in an imperfect market model with default, where the imperfections are taken into account via the nonlinearity of the wealth dynamics. The payoff is given by an RCLL adapted process $(\\xi_t)$. We define the {\\em seller's superhedging price} of the American option as the minimum of the initial capitals which allow the seller to build up a superhedging portfolio. We prove that this price coincides with the value function of an optimal stopping problem with nonlinear expectations induced by BSDEs with default jump, which corresponds to the ","authors_text":"Agn\\`Es Sulem, Marie-Claire Quenez, Roxana Dumitrescu","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2017-08-29T10:03:06Z","title":"American options in an imperfect market with default"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08675","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":"sha256:5984199a82fd7807ce2f3688755fdd067c7b3a84ae99b602c94bd5b609f719d8","target":"record","created_at":"2026-05-18T00:36:26Z","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":"5bc7d1d305d6243a76a8ff194a48957f0bcb551a8ada449863661a80f2704ba2","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2017-08-29T10:03:06Z","title_canon_sha256":"60479366ab1dfcb618948ed05aca5222136e8f2b625dadb9b6d2ea3e3bffc116"},"schema_version":"1.0","source":{"id":"1708.08675","kind":"arxiv","version":1}},"canonical_sha256":"6a7ee3a3a3ba3d3b94c69865179bc946918cef11aa7ce5fa2937727a9943bf44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a7ee3a3a3ba3d3b94c69865179bc946918cef11aa7ce5fa2937727a9943bf44","first_computed_at":"2026-05-18T00:36:26.079308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:26.079308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BboR++SW26IjA5rxy/cu8nGRYgOQpFnq5CjOFQY2JvV/sHodIIs8yFR3G8/P411LaO63hbzjlW39iqcHQ/a8DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:26.080022Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.08675","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5984199a82fd7807ce2f3688755fdd067c7b3a84ae99b602c94bd5b609f719d8","sha256:f61211a58f2962e8fc524efe15490473ac744e1f5f3d1ec696a58c008e646c49"],"state_sha256":"c3fbcc69cd8a18085b0ef8e76c255702a21011278b6614e465503b2e85f597df"}