{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:SJWANKD5NT3SCHTWQ4SJZL2CXV","short_pith_number":"pith:SJWANKD5","canonical_record":{"source":{"id":"1311.4505","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-18T19:30:38Z","cross_cats_sorted":[],"title_canon_sha256":"313555893fbc0999b8fd6e957f4e04ab3a52b690f8e5a0aa119be5a24e14d249","abstract_canon_sha256":"653acb890af2078debdcdedcec16818f14766ae2c7a37349794410b424475f1c"},"schema_version":"1.0"},"canonical_sha256":"926c06a87d6cf7211e7687249caf42bd5f331e65b6d1557184ca04f25ece32a7","source":{"kind":"arxiv","id":"1311.4505","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4505","created_at":"2026-05-17T23:42:09Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4505v2","created_at":"2026-05-17T23:42:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4505","created_at":"2026-05-17T23:42:09Z"},{"alias_kind":"pith_short_12","alias_value":"SJWANKD5NT3S","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SJWANKD5NT3SCHTW","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SJWANKD5","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:SJWANKD5NT3SCHTWQ4SJZL2CXV","target":"record","payload":{"canonical_record":{"source":{"id":"1311.4505","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-18T19:30:38Z","cross_cats_sorted":[],"title_canon_sha256":"313555893fbc0999b8fd6e957f4e04ab3a52b690f8e5a0aa119be5a24e14d249","abstract_canon_sha256":"653acb890af2078debdcdedcec16818f14766ae2c7a37349794410b424475f1c"},"schema_version":"1.0"},"canonical_sha256":"926c06a87d6cf7211e7687249caf42bd5f331e65b6d1557184ca04f25ece32a7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:09.198106Z","signature_b64":"AzTc4ziWWmPCHJMF0dL2NgOpq0KGFG2lAuOBagKM4MO3iwPG26eIZK4iKCJ9CgsoMcczUnWTPx5c0XiwqBzgAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"926c06a87d6cf7211e7687249caf42bd5f331e65b6d1557184ca04f25ece32a7","last_reissued_at":"2026-05-17T23:42:09.197586Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:09.197586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.4505","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:42:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qq0NbaXWTzkdtTDv1pM4zoX9YnZ2n6RlvwvO262GTKuJLLVju2sxRb9KS8M2tz09kzan9Mt1jHz84XR0qc+qAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T10:01:11.547735Z"},"content_sha256":"d593c045f7effb2d4ffa2db8e3ad46f53b363592a0b3a847312513a6d5b96ad1","schema_version":"1.0","event_id":"sha256:d593c045f7effb2d4ffa2db8e3ad46f53b363592a0b3a847312513a6d5b96ad1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:SJWANKD5NT3SCHTWQ4SJZL2CXV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discrete time approximation of fully nonlinear HJB equations via BSDEs with nonpositive jumps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"CEREMADE), Huy\\^en Pham (CREST, Idris Kharroubi (CREST, LPMA), Nicolas Langren\\'e (LPMA)","submitted_at":"2013-11-18T19:30:38Z","abstract_excerpt":"We propose a new probabilistic numerical scheme for fully nonlinear equation of Hamilton-Jacobi-Bellman (HJB) type associated to stochastic control problem, which is based on the Feynman-Kac representation in [12] by means of control randomization and backward stochastic differential equation with nonpositive jumps. We study a discrete time approximation for the minimal solution to this class of BSDE when the time step goes to zero, which provides both an approximation for the value function and for an optimal control in feedback form. We obtained a convergence rate without any ellipticity con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4505","kind":"arxiv","version":2},"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":"2026-05-17T23:42:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WK+mhv17YmHYoG5qYBUnvspfpdpGvqQMpNHfzSjrZxxAvC9l9AZ8yyeJJaYz9qewonZgij4hrV1bnJFtfKeVDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T10:01:11.548082Z"},"content_sha256":"469e35af1e2f25347f6e4bfab9c9a73c80ee15eff4615d554b402be3df1e0c5a","schema_version":"1.0","event_id":"sha256:469e35af1e2f25347f6e4bfab9c9a73c80ee15eff4615d554b402be3df1e0c5a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SJWANKD5NT3SCHTWQ4SJZL2CXV/bundle.json","state_url":"https://pith.science/pith/SJWANKD5NT3SCHTWQ4SJZL2CXV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SJWANKD5NT3SCHTWQ4SJZL2CXV/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":"2026-06-01T10:01:11Z","links":{"resolver":"https://pith.science/pith/SJWANKD5NT3SCHTWQ4SJZL2CXV","bundle":"https://pith.science/pith/SJWANKD5NT3SCHTWQ4SJZL2CXV/bundle.json","state":"https://pith.science/pith/SJWANKD5NT3SCHTWQ4SJZL2CXV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SJWANKD5NT3SCHTWQ4SJZL2CXV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SJWANKD5NT3SCHTWQ4SJZL2CXV","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":"653acb890af2078debdcdedcec16818f14766ae2c7a37349794410b424475f1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-18T19:30:38Z","title_canon_sha256":"313555893fbc0999b8fd6e957f4e04ab3a52b690f8e5a0aa119be5a24e14d249"},"schema_version":"1.0","source":{"id":"1311.4505","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4505","created_at":"2026-05-17T23:42:09Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4505v2","created_at":"2026-05-17T23:42:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4505","created_at":"2026-05-17T23:42:09Z"},{"alias_kind":"pith_short_12","alias_value":"SJWANKD5NT3S","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SJWANKD5NT3SCHTW","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SJWANKD5","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:469e35af1e2f25347f6e4bfab9c9a73c80ee15eff4615d554b402be3df1e0c5a","target":"graph","created_at":"2026-05-17T23:42:09Z","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 propose a new probabilistic numerical scheme for fully nonlinear equation of Hamilton-Jacobi-Bellman (HJB) type associated to stochastic control problem, which is based on the Feynman-Kac representation in [12] by means of control randomization and backward stochastic differential equation with nonpositive jumps. We study a discrete time approximation for the minimal solution to this class of BSDE when the time step goes to zero, which provides both an approximation for the value function and for an optimal control in feedback form. We obtained a convergence rate without any ellipticity con","authors_text":"CEREMADE), Huy\\^en Pham (CREST, Idris Kharroubi (CREST, LPMA), Nicolas Langren\\'e (LPMA)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-18T19:30:38Z","title":"Discrete time approximation of fully nonlinear HJB equations via BSDEs with nonpositive jumps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4505","kind":"arxiv","version":2},"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:d593c045f7effb2d4ffa2db8e3ad46f53b363592a0b3a847312513a6d5b96ad1","target":"record","created_at":"2026-05-17T23:42:09Z","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":"653acb890af2078debdcdedcec16818f14766ae2c7a37349794410b424475f1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-18T19:30:38Z","title_canon_sha256":"313555893fbc0999b8fd6e957f4e04ab3a52b690f8e5a0aa119be5a24e14d249"},"schema_version":"1.0","source":{"id":"1311.4505","kind":"arxiv","version":2}},"canonical_sha256":"926c06a87d6cf7211e7687249caf42bd5f331e65b6d1557184ca04f25ece32a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"926c06a87d6cf7211e7687249caf42bd5f331e65b6d1557184ca04f25ece32a7","first_computed_at":"2026-05-17T23:42:09.197586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:09.197586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AzTc4ziWWmPCHJMF0dL2NgOpq0KGFG2lAuOBagKM4MO3iwPG26eIZK4iKCJ9CgsoMcczUnWTPx5c0XiwqBzgAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:09.198106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.4505","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d593c045f7effb2d4ffa2db8e3ad46f53b363592a0b3a847312513a6d5b96ad1","sha256:469e35af1e2f25347f6e4bfab9c9a73c80ee15eff4615d554b402be3df1e0c5a"],"state_sha256":"7c2a8ea92c13b83dd4a1f11a9b61eb7e26cfad13247fc980ad69c980a6676dc2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fvi9I+PhJjP1BJ+MdCm8AfZYWtq3O8KA09W3nGlDhEIHL2z6gF3k+n8o/BI+xu41/iuwq/iwBiLQi54Wh9MBAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T10:01:11.550217Z","bundle_sha256":"056e7358b1547df790dbf658c908b0ff2b962e2b6b1ff47bf7e13dfebde9b5ef"}}