{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WPBTRVVJR62WY3YEKGVFYGETOV","short_pith_number":"pith:WPBTRVVJ","canonical_record":{"source":{"id":"1704.02132","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-07T08:39:41Z","cross_cats_sorted":[],"title_canon_sha256":"57e8165f4f494ff18fb446ccf34adb465005c6bf7ededb4c77bb70825e2efdbc","abstract_canon_sha256":"f60ef9cc48994494b487f7b2d31033c6e063b8d470b3015bbff7ae4247169a26"},"schema_version":"1.0"},"canonical_sha256":"b3c338d6a98fb56c6f0451aa5c189375595969ef7b605cdc18025d333a9554be","source":{"kind":"arxiv","id":"1704.02132","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.02132","created_at":"2026-05-18T00:46:50Z"},{"alias_kind":"arxiv_version","alias_value":"1704.02132v1","created_at":"2026-05-18T00:46:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.02132","created_at":"2026-05-18T00:46:50Z"},{"alias_kind":"pith_short_12","alias_value":"WPBTRVVJR62W","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WPBTRVVJR62WY3YE","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WPBTRVVJ","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WPBTRVVJR62WY3YEKGVFYGETOV","target":"record","payload":{"canonical_record":{"source":{"id":"1704.02132","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-07T08:39:41Z","cross_cats_sorted":[],"title_canon_sha256":"57e8165f4f494ff18fb446ccf34adb465005c6bf7ededb4c77bb70825e2efdbc","abstract_canon_sha256":"f60ef9cc48994494b487f7b2d31033c6e063b8d470b3015bbff7ae4247169a26"},"schema_version":"1.0"},"canonical_sha256":"b3c338d6a98fb56c6f0451aa5c189375595969ef7b605cdc18025d333a9554be","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:50.653000Z","signature_b64":"VbPZcPcR9hEAzlF+OPSqXytJQSOy4SPK+J7/7MpqQLKjLJZSqzjmEj0Yc30PSOtbWWknpWVfQyitXx2Yn1a1Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3c338d6a98fb56c6f0451aa5c189375595969ef7b605cdc18025d333a9554be","last_reissued_at":"2026-05-18T00:46:50.652400Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:50.652400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.02132","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":"2026-05-18T00:46:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JALt4fJc44ossXKqmmRmBy3V/YbkR7HQsvEv06/HklKaWDTlf1FcgBUJiS7SKmdo1dvpBapMgtuymQ51u+oXBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:08:32.142272Z"},"content_sha256":"aebfc25ff5320b7170bd17d407bc2c2ddc36694eaf2b6727529562fa87da52ec","schema_version":"1.0","event_id":"sha256:aebfc25ff5320b7170bd17d407bc2c2ddc36694eaf2b6727529562fa87da52ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WPBTRVVJR62WY3YEKGVFYGETOV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$\\boldsymbol{\\mathbb{L}^p(p\\ge2)}$-solutions of generalized BSDEs with jumps and monotone generator in a general filtration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Imade Fakhouri, M'hamed Eddahbi, Youssef Ouknine","submitted_at":"2017-04-07T08:39:41Z","abstract_excerpt":"In this paper, we study multidimensional generalized BSDEs that have a monotone generator in a general filtration supporting a Brownian motion and an independent Poisson random measure. First, we prove the existence and uniqueness of $\\mathbb{L}^p(p\\ge2)$-solutions in the case of a fixed terminal time under suitable $p$-integrability conditions on the data. Then, we extend these results to the case of a random terminal time. Furthermore, we provide a comparison result in dimension $1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02132","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":"2026-05-18T00:46:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VQf+mD8bc0xpXXTc8CIOzGyUTc+eZTFyKlf7NZls7OA/pqJ9EkopK5sXU8FSFR7vJc3VueFzvcnuuA/DJ6vzBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:08:32.142635Z"},"content_sha256":"1cd22e9749346aebcd97273d2d60e4ade4b573327096892300be1abaf734829c","schema_version":"1.0","event_id":"sha256:1cd22e9749346aebcd97273d2d60e4ade4b573327096892300be1abaf734829c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WPBTRVVJR62WY3YEKGVFYGETOV/bundle.json","state_url":"https://pith.science/pith/WPBTRVVJR62WY3YEKGVFYGETOV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WPBTRVVJR62WY3YEKGVFYGETOV/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":"2026-06-03T22:08:32Z","links":{"resolver":"https://pith.science/pith/WPBTRVVJR62WY3YEKGVFYGETOV","bundle":"https://pith.science/pith/WPBTRVVJR62WY3YEKGVFYGETOV/bundle.json","state":"https://pith.science/pith/WPBTRVVJR62WY3YEKGVFYGETOV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WPBTRVVJR62WY3YEKGVFYGETOV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WPBTRVVJR62WY3YEKGVFYGETOV","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":"f60ef9cc48994494b487f7b2d31033c6e063b8d470b3015bbff7ae4247169a26","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-07T08:39:41Z","title_canon_sha256":"57e8165f4f494ff18fb446ccf34adb465005c6bf7ededb4c77bb70825e2efdbc"},"schema_version":"1.0","source":{"id":"1704.02132","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.02132","created_at":"2026-05-18T00:46:50Z"},{"alias_kind":"arxiv_version","alias_value":"1704.02132v1","created_at":"2026-05-18T00:46:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.02132","created_at":"2026-05-18T00:46:50Z"},{"alias_kind":"pith_short_12","alias_value":"WPBTRVVJR62W","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WPBTRVVJR62WY3YE","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WPBTRVVJ","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:1cd22e9749346aebcd97273d2d60e4ade4b573327096892300be1abaf734829c","target":"graph","created_at":"2026-05-18T00:46:50Z","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 multidimensional generalized BSDEs that have a monotone generator in a general filtration supporting a Brownian motion and an independent Poisson random measure. First, we prove the existence and uniqueness of $\\mathbb{L}^p(p\\ge2)$-solutions in the case of a fixed terminal time under suitable $p$-integrability conditions on the data. Then, we extend these results to the case of a random terminal time. Furthermore, we provide a comparison result in dimension $1$.","authors_text":"Imade Fakhouri, M'hamed Eddahbi, Youssef Ouknine","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-07T08:39:41Z","title":"$\\boldsymbol{\\mathbb{L}^p(p\\ge2)}$-solutions of generalized BSDEs with jumps and monotone generator in a general filtration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02132","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:aebfc25ff5320b7170bd17d407bc2c2ddc36694eaf2b6727529562fa87da52ec","target":"record","created_at":"2026-05-18T00:46:50Z","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":"f60ef9cc48994494b487f7b2d31033c6e063b8d470b3015bbff7ae4247169a26","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-07T08:39:41Z","title_canon_sha256":"57e8165f4f494ff18fb446ccf34adb465005c6bf7ededb4c77bb70825e2efdbc"},"schema_version":"1.0","source":{"id":"1704.02132","kind":"arxiv","version":1}},"canonical_sha256":"b3c338d6a98fb56c6f0451aa5c189375595969ef7b605cdc18025d333a9554be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3c338d6a98fb56c6f0451aa5c189375595969ef7b605cdc18025d333a9554be","first_computed_at":"2026-05-18T00:46:50.652400Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:50.652400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VbPZcPcR9hEAzlF+OPSqXytJQSOy4SPK+J7/7MpqQLKjLJZSqzjmEj0Yc30PSOtbWWknpWVfQyitXx2Yn1a1Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:50.653000Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.02132","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aebfc25ff5320b7170bd17d407bc2c2ddc36694eaf2b6727529562fa87da52ec","sha256:1cd22e9749346aebcd97273d2d60e4ade4b573327096892300be1abaf734829c"],"state_sha256":"c398d690986fbeb52bda513451165b98881ea35741606672b6d8dc519c69ffd4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fvIOft7qLjo+idIKCyX44XyY1fmplqycYC8XK2Tk9CvvVjuRdr29Y4Nsf22vfoC9khYxEtRjvB52mAX2Ib/5AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T22:08:32.144645Z","bundle_sha256":"2ddd98b71a12debf9e7ad8991d288de580a930273ac8b33a5205934b701fa7b0"}}