{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:AKY7JSEABFWGAZHKTFFNG4VPMI","short_pith_number":"pith:AKY7JSEA","canonical_record":{"source":{"id":"1603.06191","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-03-20T07:43:48Z","cross_cats_sorted":[],"title_canon_sha256":"6fbe193ec9cdf4ce8ac723c680ce956a52c328aef635079ccced9afdfb99ab97","abstract_canon_sha256":"13377363f749631ec607ded4e9e28b090d174a845c4fea3fd0e815eecb902266"},"schema_version":"1.0"},"canonical_sha256":"02b1f4c880096c6064ea994ad372af621662b441b0e27d94626272b607ae111c","source":{"kind":"arxiv","id":"1603.06191","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06191","created_at":"2026-05-18T01:18:50Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06191v1","created_at":"2026-05-18T01:18:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06191","created_at":"2026-05-18T01:18:50Z"},{"alias_kind":"pith_short_12","alias_value":"AKY7JSEABFWG","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AKY7JSEABFWGAZHK","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AKY7JSEA","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:AKY7JSEABFWGAZHKTFFNG4VPMI","target":"record","payload":{"canonical_record":{"source":{"id":"1603.06191","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-03-20T07:43:48Z","cross_cats_sorted":[],"title_canon_sha256":"6fbe193ec9cdf4ce8ac723c680ce956a52c328aef635079ccced9afdfb99ab97","abstract_canon_sha256":"13377363f749631ec607ded4e9e28b090d174a845c4fea3fd0e815eecb902266"},"schema_version":"1.0"},"canonical_sha256":"02b1f4c880096c6064ea994ad372af621662b441b0e27d94626272b607ae111c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:50.064108Z","signature_b64":"AfdPGs8xVUrBfE0VeFjC/e7Ts39Fmw4R+htJuY1wU7XRh/9e+Q8KmaDfLSbCwCRSF5ADgnKpnyKRPO5U7HjVCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02b1f4c880096c6064ea994ad372af621662b441b0e27d94626272b607ae111c","last_reissued_at":"2026-05-18T01:18:50.063668Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:50.063668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.06191","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":"2026-05-18T01:18:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vQI9/1QbmrqzXo82NoK/be8Zx214VyYmClpNKczNhtaSHC+60HlT91c2YTRGCzxZ3tOuG2nm+0maF6u2uP+UAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:52:16.841376Z"},"content_sha256":"748f90797ae9b37df0d961bf991c0a4369ba699bac3231bad7c4c14c1f56e713","schema_version":"1.0","event_id":"sha256:748f90797ae9b37df0d961bf991c0a4369ba699bac3231bad7c4c14c1f56e713"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:AKY7JSEABFWGAZHKTFFNG4VPMI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quadratic Exponential Semimartingales and Application to BSDEs with jumps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Anis Matoussi, Armand Ngoupeyou, Nicole El Karoui","submitted_at":"2016-03-20T07:43:48Z","abstract_excerpt":"In this paper, we study a class of Quadratic Backward Stochastic Differential Equations (QBSDE in short) with jumps and unbounded terminal condition. We extend the class of quadratic semimartingales introduced by Barrieu and El Karoui (2013) in the jump diffusion model. The properties of these class of semimartingales lead us to prove existence result for the solution of a quadratic BSDEs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06191","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":"2026-05-18T01:18:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZN85d5waeO3b/1FvZ4i+IkjFzo520nRGHWOvt9vRpxys2RaAD/OweAjtnbCDxuHZIu2/jLEn+ooR+xn8fjnaBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:52:16.841715Z"},"content_sha256":"0297ab0fd3509c58e386ba503f48cf62e0263a083085845525e19085c53f849a","schema_version":"1.0","event_id":"sha256:0297ab0fd3509c58e386ba503f48cf62e0263a083085845525e19085c53f849a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AKY7JSEABFWGAZHKTFFNG4VPMI/bundle.json","state_url":"https://pith.science/pith/AKY7JSEABFWGAZHKTFFNG4VPMI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AKY7JSEABFWGAZHKTFFNG4VPMI/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":"2026-06-02T17:52:16Z","links":{"resolver":"https://pith.science/pith/AKY7JSEABFWGAZHKTFFNG4VPMI","bundle":"https://pith.science/pith/AKY7JSEABFWGAZHKTFFNG4VPMI/bundle.json","state":"https://pith.science/pith/AKY7JSEABFWGAZHKTFFNG4VPMI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AKY7JSEABFWGAZHKTFFNG4VPMI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AKY7JSEABFWGAZHKTFFNG4VPMI","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":"13377363f749631ec607ded4e9e28b090d174a845c4fea3fd0e815eecb902266","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-03-20T07:43:48Z","title_canon_sha256":"6fbe193ec9cdf4ce8ac723c680ce956a52c328aef635079ccced9afdfb99ab97"},"schema_version":"1.0","source":{"id":"1603.06191","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06191","created_at":"2026-05-18T01:18:50Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06191v1","created_at":"2026-05-18T01:18:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06191","created_at":"2026-05-18T01:18:50Z"},{"alias_kind":"pith_short_12","alias_value":"AKY7JSEABFWG","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AKY7JSEABFWGAZHK","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AKY7JSEA","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:0297ab0fd3509c58e386ba503f48cf62e0263a083085845525e19085c53f849a","target":"graph","created_at":"2026-05-18T01:18:50Z","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":"In this paper, we study a class of Quadratic Backward Stochastic Differential Equations (QBSDE in short) with jumps and unbounded terminal condition. We extend the class of quadratic semimartingales introduced by Barrieu and El Karoui (2013) in the jump diffusion model. The properties of these class of semimartingales lead us to prove existence result for the solution of a quadratic BSDEs.","authors_text":"Anis Matoussi, Armand Ngoupeyou, Nicole El Karoui","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-03-20T07:43:48Z","title":"Quadratic Exponential Semimartingales and Application to BSDEs with jumps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06191","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":"sha256:748f90797ae9b37df0d961bf991c0a4369ba699bac3231bad7c4c14c1f56e713","target":"record","created_at":"2026-05-18T01:18:50Z","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":"13377363f749631ec607ded4e9e28b090d174a845c4fea3fd0e815eecb902266","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-03-20T07:43:48Z","title_canon_sha256":"6fbe193ec9cdf4ce8ac723c680ce956a52c328aef635079ccced9afdfb99ab97"},"schema_version":"1.0","source":{"id":"1603.06191","kind":"arxiv","version":1}},"canonical_sha256":"02b1f4c880096c6064ea994ad372af621662b441b0e27d94626272b607ae111c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02b1f4c880096c6064ea994ad372af621662b441b0e27d94626272b607ae111c","first_computed_at":"2026-05-18T01:18:50.063668Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:50.063668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AfdPGs8xVUrBfE0VeFjC/e7Ts39Fmw4R+htJuY1wU7XRh/9e+Q8KmaDfLSbCwCRSF5ADgnKpnyKRPO5U7HjVCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:50.064108Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.06191","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:748f90797ae9b37df0d961bf991c0a4369ba699bac3231bad7c4c14c1f56e713","sha256:0297ab0fd3509c58e386ba503f48cf62e0263a083085845525e19085c53f849a"],"state_sha256":"fc3eb78084b6da5df60c4977acd072271c9a1ace0995ed06d91dea233966f860"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E4Jl/sZMVCpQ+OuHi9RTmUEvyaZ0MIPLLP64WZ9g3eHBIAwJ+HI62x3qoU8g59uCLuEsy6E9JCEF6fUd/4Q5Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T17:52:16.843562Z","bundle_sha256":"65efa3499a5d51379db44bd936d2995daea40e61f05464a8234b8097f5596150"}}