{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:A3Y2MJZO5ZRLZTOWAIMXDUSFLU","short_pith_number":"pith:A3Y2MJZO","canonical_record":{"source":{"id":"1409.5369","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-18T16:43:24Z","cross_cats_sorted":[],"title_canon_sha256":"8c44ba83b0ce6a8d538ab3e3d3a87a76a19219d1bbda223e0510f014acbffcfb","abstract_canon_sha256":"f4f8d03da727025a0f12f9f62b45ca1b4c9201f99bfca481fc069f2958b8dc7b"},"schema_version":"1.0"},"canonical_sha256":"06f1a6272eee62bccdd6021971d2455d0f07339be3deeafaf922d0f9dee1c6f6","source":{"kind":"arxiv","id":"1409.5369","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5369","created_at":"2026-05-18T02:42:29Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5369v1","created_at":"2026-05-18T02:42:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5369","created_at":"2026-05-18T02:42:29Z"},{"alias_kind":"pith_short_12","alias_value":"A3Y2MJZO5ZRL","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"A3Y2MJZO5ZRLZTOW","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"A3Y2MJZO","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:A3Y2MJZO5ZRLZTOWAIMXDUSFLU","target":"record","payload":{"canonical_record":{"source":{"id":"1409.5369","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-18T16:43:24Z","cross_cats_sorted":[],"title_canon_sha256":"8c44ba83b0ce6a8d538ab3e3d3a87a76a19219d1bbda223e0510f014acbffcfb","abstract_canon_sha256":"f4f8d03da727025a0f12f9f62b45ca1b4c9201f99bfca481fc069f2958b8dc7b"},"schema_version":"1.0"},"canonical_sha256":"06f1a6272eee62bccdd6021971d2455d0f07339be3deeafaf922d0f9dee1c6f6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:29.673924Z","signature_b64":"gO/s+Pb9zmIZHbffRJNpJtEdSDPuDmg15bLG3Q8Ymih93P3FaU/Nl/RytC96vknAKV9V6AEhYEA4e/Vb8x+rDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06f1a6272eee62bccdd6021971d2455d0f07339be3deeafaf922d0f9dee1c6f6","last_reissued_at":"2026-05-18T02:42:29.673116Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:29.673116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.5369","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":"2026-05-18T02:42:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ftudgV08bY94tOc00zoR7kM+AgbR7bt1bpbxjF2arGX07IXOU04ylpCXVivs65PUVHAYWET9JOctTcyne1nLDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T23:13:47.042664Z"},"content_sha256":"61303b2df40295a90fc0f406ca90e2a5f5a477b21ffa35437663fb7954e6a133","schema_version":"1.0","event_id":"sha256:61303b2df40295a90fc0f406ca90e2a5f5a477b21ffa35437663fb7954e6a133"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:A3Y2MJZO5ZRLZTOWAIMXDUSFLU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Regularity of BSDEs with a convex constraint on the gains-process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Bruno Bouchard (CEREMADE, CREST), Ludovic Moreau, Romuald Elie (LAMA)","submitted_at":"2014-09-18T16:43:24Z","abstract_excerpt":"We consider the minimal super-solution of a backward stochastic differential equation with constraint on the gains-process. The terminal condition is given by a function of the terminal value of a forward stochastic differential equation. Under boundedness assumptions on the coefficients, we show that the first component of the solution is Lipschitz in space and 1/2-H\\\"older in time with respect to the initial data of the forward process. Its path is continuous before the time horizon at which its left-limit is given by a face-lifted version of its natural boundary condition. This first compon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5369","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":"2026-05-18T02:42:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bK7JfCkKsyIG1/ycXCd3RDLDHm9zOufIfB/CWG2203x91gbM3DBc88wq0MjR12vfiUj1QicqDuScAK4M3KOIAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T23:13:47.043016Z"},"content_sha256":"5505ddf357865a2bc6551d39620c5cf69d3a6dca3b9acb4bd500835689293edf","schema_version":"1.0","event_id":"sha256:5505ddf357865a2bc6551d39620c5cf69d3a6dca3b9acb4bd500835689293edf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A3Y2MJZO5ZRLZTOWAIMXDUSFLU/bundle.json","state_url":"https://pith.science/pith/A3Y2MJZO5ZRLZTOWAIMXDUSFLU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A3Y2MJZO5ZRLZTOWAIMXDUSFLU/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":"2026-05-28T23:13:47Z","links":{"resolver":"https://pith.science/pith/A3Y2MJZO5ZRLZTOWAIMXDUSFLU","bundle":"https://pith.science/pith/A3Y2MJZO5ZRLZTOWAIMXDUSFLU/bundle.json","state":"https://pith.science/pith/A3Y2MJZO5ZRLZTOWAIMXDUSFLU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A3Y2MJZO5ZRLZTOWAIMXDUSFLU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:A3Y2MJZO5ZRLZTOWAIMXDUSFLU","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":"f4f8d03da727025a0f12f9f62b45ca1b4c9201f99bfca481fc069f2958b8dc7b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-18T16:43:24Z","title_canon_sha256":"8c44ba83b0ce6a8d538ab3e3d3a87a76a19219d1bbda223e0510f014acbffcfb"},"schema_version":"1.0","source":{"id":"1409.5369","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5369","created_at":"2026-05-18T02:42:29Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5369v1","created_at":"2026-05-18T02:42:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5369","created_at":"2026-05-18T02:42:29Z"},{"alias_kind":"pith_short_12","alias_value":"A3Y2MJZO5ZRL","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"A3Y2MJZO5ZRLZTOW","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"A3Y2MJZO","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:5505ddf357865a2bc6551d39620c5cf69d3a6dca3b9acb4bd500835689293edf","target":"graph","created_at":"2026-05-18T02:42:29Z","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 consider the minimal super-solution of a backward stochastic differential equation with constraint on the gains-process. The terminal condition is given by a function of the terminal value of a forward stochastic differential equation. Under boundedness assumptions on the coefficients, we show that the first component of the solution is Lipschitz in space and 1/2-H\\\"older in time with respect to the initial data of the forward process. Its path is continuous before the time horizon at which its left-limit is given by a face-lifted version of its natural boundary condition. This first compon","authors_text":"Bruno Bouchard (CEREMADE, CREST), Ludovic Moreau, Romuald Elie (LAMA)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-18T16:43:24Z","title":"Regularity of BSDEs with a convex constraint on the gains-process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5369","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":"sha256:61303b2df40295a90fc0f406ca90e2a5f5a477b21ffa35437663fb7954e6a133","target":"record","created_at":"2026-05-18T02:42:29Z","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":"f4f8d03da727025a0f12f9f62b45ca1b4c9201f99bfca481fc069f2958b8dc7b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-18T16:43:24Z","title_canon_sha256":"8c44ba83b0ce6a8d538ab3e3d3a87a76a19219d1bbda223e0510f014acbffcfb"},"schema_version":"1.0","source":{"id":"1409.5369","kind":"arxiv","version":1}},"canonical_sha256":"06f1a6272eee62bccdd6021971d2455d0f07339be3deeafaf922d0f9dee1c6f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06f1a6272eee62bccdd6021971d2455d0f07339be3deeafaf922d0f9dee1c6f6","first_computed_at":"2026-05-18T02:42:29.673116Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:29.673116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gO/s+Pb9zmIZHbffRJNpJtEdSDPuDmg15bLG3Q8Ymih93P3FaU/Nl/RytC96vknAKV9V6AEhYEA4e/Vb8x+rDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:29.673924Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5369","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61303b2df40295a90fc0f406ca90e2a5f5a477b21ffa35437663fb7954e6a133","sha256:5505ddf357865a2bc6551d39620c5cf69d3a6dca3b9acb4bd500835689293edf"],"state_sha256":"b47275f25f0ed523f549740fe9c5715abda88098dc90f2e76c4d3ff4d7dcc282"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SwjDjqe1uh28DA9lE5ELmHFJGJKWVcAgw5UAmaXWz285FFUxJpGXrhP8OEyoDjqvhkLibByIMVqQIwRG3MUGAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T23:13:47.045247Z","bundle_sha256":"0df7990cbdacaf83bb1b0e6b54c2636086d5bd6039a9190b6a5a0593d5aa8bbc"}}