{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:UEWNWPY2LRRAHKQ64JPRIEB56L","short_pith_number":"pith:UEWNWPY2","canonical_record":{"source":{"id":"1211.6231","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-11-27T08:25:48Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"0490ce0a63744e384386452e3da922e8c274bce4c293587977c3caecf55715ba","abstract_canon_sha256":"8edb51050aaaa276f93fa1ae0be9d66dc4b66b31c3a7b0106b9285202ab80a51"},"schema_version":"1.0"},"canonical_sha256":"a12cdb3f1a5c6203aa1ee25f14103df2d0394bfcb0d4bd5a7ff561020a1e4ad1","source":{"kind":"arxiv","id":"1211.6231","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6231","created_at":"2026-05-18T03:39:52Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6231v1","created_at":"2026-05-18T03:39:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6231","created_at":"2026-05-18T03:39:52Z"},{"alias_kind":"pith_short_12","alias_value":"UEWNWPY2LRRA","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UEWNWPY2LRRAHKQ6","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UEWNWPY2","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:UEWNWPY2LRRAHKQ64JPRIEB56L","target":"record","payload":{"canonical_record":{"source":{"id":"1211.6231","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-11-27T08:25:48Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"0490ce0a63744e384386452e3da922e8c274bce4c293587977c3caecf55715ba","abstract_canon_sha256":"8edb51050aaaa276f93fa1ae0be9d66dc4b66b31c3a7b0106b9285202ab80a51"},"schema_version":"1.0"},"canonical_sha256":"a12cdb3f1a5c6203aa1ee25f14103df2d0394bfcb0d4bd5a7ff561020a1e4ad1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:52.209144Z","signature_b64":"9SH5X3cA8WUZAbMfmaS+TwIZn6KOv0o8RY0DC+wOIhEZvH3cr8oCWhbDFY9QyT9tdzUpKaMrmlXPzYgxKzuDAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a12cdb3f1a5c6203aa1ee25f14103df2d0394bfcb0d4bd5a7ff561020a1e4ad1","last_reissued_at":"2026-05-18T03:39:52.208385Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:52.208385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.6231","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:39:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ucxMMRwu4CtctHNQ7SNBjNithJUTlwBwGU+nwQLNxccKvbBK9iWtE4vVA5zFO1gTIG99fzI9k4XtIeB8RPjlDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:39:16.387850Z"},"content_sha256":"bb098df37b65a4e43459bf7453b64e9422ee3f24ab5a2f54147fef607d755747","schema_version":"1.0","event_id":"sha256:bb098df37b65a4e43459bf7453b64e9422ee3f24ab5a2f54147fef607d755747"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:UEWNWPY2LRRAHKQ64JPRIEB56L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A decomposition approach for the discrete-time approximation of BSDEs with a jump II: the quadratic case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.OC","authors_text":"Idris Kharroubi (CEREMADE), Thomas Lim (ENSIIE)","submitted_at":"2012-11-27T08:25:48Z","abstract_excerpt":"We study the discrete-time approximation for solutions of quadratic forward back- ward stochastic differential equations (FBSDEs) driven by a Brownian motion and a jump process which could be dependent. Assuming that the generator has a quadratic growth w.r.t. the variable z and the terminal condition is bounded, we prove the convergence of the scheme when the number of time steps n goes to infinity. Our approach is based on the companion paper [15] and allows to get a convergence rate similar to that of schemes of Brownian FBSDEs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6231","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:39:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EFApedAlp0nr1ovC9WfpPtsT5QDg6+/hCQXVq/4yNGdW2Mq9Nbj1a1jEByLEv3R2jG4c5W+Yexh1QAqHssiwDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:39:16.388200Z"},"content_sha256":"4cde3be94ca78b3ad1344894ce771130477654dd651732fb1cec45eef04cc305","schema_version":"1.0","event_id":"sha256:4cde3be94ca78b3ad1344894ce771130477654dd651732fb1cec45eef04cc305"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UEWNWPY2LRRAHKQ64JPRIEB56L/bundle.json","state_url":"https://pith.science/pith/UEWNWPY2LRRAHKQ64JPRIEB56L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UEWNWPY2LRRAHKQ64JPRIEB56L/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T08:39:16Z","links":{"resolver":"https://pith.science/pith/UEWNWPY2LRRAHKQ64JPRIEB56L","bundle":"https://pith.science/pith/UEWNWPY2LRRAHKQ64JPRIEB56L/bundle.json","state":"https://pith.science/pith/UEWNWPY2LRRAHKQ64JPRIEB56L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UEWNWPY2LRRAHKQ64JPRIEB56L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UEWNWPY2LRRAHKQ64JPRIEB56L","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":"8edb51050aaaa276f93fa1ae0be9d66dc4b66b31c3a7b0106b9285202ab80a51","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-11-27T08:25:48Z","title_canon_sha256":"0490ce0a63744e384386452e3da922e8c274bce4c293587977c3caecf55715ba"},"schema_version":"1.0","source":{"id":"1211.6231","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6231","created_at":"2026-05-18T03:39:52Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6231v1","created_at":"2026-05-18T03:39:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6231","created_at":"2026-05-18T03:39:52Z"},{"alias_kind":"pith_short_12","alias_value":"UEWNWPY2LRRA","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UEWNWPY2LRRAHKQ6","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UEWNWPY2","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:4cde3be94ca78b3ad1344894ce771130477654dd651732fb1cec45eef04cc305","target":"graph","created_at":"2026-05-18T03:39:52Z","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 the discrete-time approximation for solutions of quadratic forward back- ward stochastic differential equations (FBSDEs) driven by a Brownian motion and a jump process which could be dependent. Assuming that the generator has a quadratic growth w.r.t. the variable z and the terminal condition is bounded, we prove the convergence of the scheme when the number of time steps n goes to infinity. Our approach is based on the companion paper [15] and allows to get a convergence rate similar to that of schemes of Brownian FBSDEs.","authors_text":"Idris Kharroubi (CEREMADE), Thomas Lim (ENSIIE)","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-11-27T08:25:48Z","title":"A decomposition approach for the discrete-time approximation of BSDEs with a jump II: the quadratic case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6231","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:bb098df37b65a4e43459bf7453b64e9422ee3f24ab5a2f54147fef607d755747","target":"record","created_at":"2026-05-18T03:39:52Z","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":"8edb51050aaaa276f93fa1ae0be9d66dc4b66b31c3a7b0106b9285202ab80a51","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-11-27T08:25:48Z","title_canon_sha256":"0490ce0a63744e384386452e3da922e8c274bce4c293587977c3caecf55715ba"},"schema_version":"1.0","source":{"id":"1211.6231","kind":"arxiv","version":1}},"canonical_sha256":"a12cdb3f1a5c6203aa1ee25f14103df2d0394bfcb0d4bd5a7ff561020a1e4ad1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a12cdb3f1a5c6203aa1ee25f14103df2d0394bfcb0d4bd5a7ff561020a1e4ad1","first_computed_at":"2026-05-18T03:39:52.208385Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:52.208385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9SH5X3cA8WUZAbMfmaS+TwIZn6KOv0o8RY0DC+wOIhEZvH3cr8oCWhbDFY9QyT9tdzUpKaMrmlXPzYgxKzuDAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:52.209144Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.6231","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb098df37b65a4e43459bf7453b64e9422ee3f24ab5a2f54147fef607d755747","sha256:4cde3be94ca78b3ad1344894ce771130477654dd651732fb1cec45eef04cc305"],"state_sha256":"c39431b71fa7db8ca2d99aa13a2457d8cf9deeb0f5f371548581de21ec54b9fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GlXGmRpirorCTeme6xzXBoskX9b2smwf/CCWdjWv5pjCpZasv2MghJEyPSf66ynCXqpixvMMeIpkuiPelmmYDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T08:39:16.390333Z","bundle_sha256":"3bd3d50c4441e6fbaa458461eb88bfb216cc9c90254e432f1b1fe7f8de2ab3c9"}}