{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:EXIKRGEGH24Q3RKMMRRRZBPTFL","short_pith_number":"pith:EXIKRGEG","canonical_record":{"source":{"id":"1412.5291","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-12-17T08:52:41Z","cross_cats_sorted":[],"title_canon_sha256":"790ff320039f54b6890ec19b7ad5e46ff2ade4177e229fcfa817f21d241e28d4","abstract_canon_sha256":"c02ae0f3911b06d7a0ea55f224034fd5fc813eaf8b164a85b6c91adc55048d10"},"schema_version":"1.0"},"canonical_sha256":"25d0a898863eb90dc54c64631c85f32acfd01811bc3eddd3473b5fcfdc116316","source":{"kind":"arxiv","id":"1412.5291","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.5291","created_at":"2026-05-18T01:01:02Z"},{"alias_kind":"arxiv_version","alias_value":"1412.5291v1","created_at":"2026-05-18T01:01:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.5291","created_at":"2026-05-18T01:01:02Z"},{"alias_kind":"pith_short_12","alias_value":"EXIKRGEGH24Q","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EXIKRGEGH24Q3RKM","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EXIKRGEG","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:EXIKRGEGH24Q3RKMMRRRZBPTFL","target":"record","payload":{"canonical_record":{"source":{"id":"1412.5291","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-12-17T08:52:41Z","cross_cats_sorted":[],"title_canon_sha256":"790ff320039f54b6890ec19b7ad5e46ff2ade4177e229fcfa817f21d241e28d4","abstract_canon_sha256":"c02ae0f3911b06d7a0ea55f224034fd5fc813eaf8b164a85b6c91adc55048d10"},"schema_version":"1.0"},"canonical_sha256":"25d0a898863eb90dc54c64631c85f32acfd01811bc3eddd3473b5fcfdc116316","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:02.030700Z","signature_b64":"BWKOwop69kSQz5JTT51Y+fN+BpVHSA6nnAO0Dmc44T9XoFqJhQabkCg0Ue7RrLss7Zefd3TRh3u9HFGM6WsyAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25d0a898863eb90dc54c64631c85f32acfd01811bc3eddd3473b5fcfdc116316","last_reissued_at":"2026-05-18T01:01:02.030008Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:02.030008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.5291","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":"2026-05-18T01:01:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JOgkD8Guf5QTDLPDpJ4gNlzVF3YW4g8r2LoqBSJmqi4qDhg5w6mLjnns9hduObQVqoA63V4/3DrOwsrWPLI1CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:52:39.145408Z"},"content_sha256":"737ff992417fa0b72eba67a7ce79d37df7c3a83d523f7ae64f344462222b5f14","schema_version":"1.0","event_id":"sha256:737ff992417fa0b72eba67a7ce79d37df7c3a83d523f7ae64f344462222b5f14"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:EXIKRGEGH24Q3RKMMRRRZBPTFL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal control of forward-backward mean-field stochastic delayed systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Elin Engen Rose, Nacira Agram","submitted_at":"2014-12-17T08:52:41Z","abstract_excerpt":"We study methods for solving stochastic control problems of systems of forward-backward mean-field equations with delay, in finite or infinite horizon. Necessary and sufficient maximum principles under partial information are given. The results are applied to solve a recursive utility optimal problem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5291","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":"2026-05-18T01:01:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vdXySxyxp4A/yvCUWn9nByAWXQGWN7ThYuj/W6SS63Li7s7q5T5CAgUl9bStugYf1yYmFrm2Rgoe8uVIzTv7BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:52:39.146151Z"},"content_sha256":"3478596b0f45892cfd04c1a3a444258ad55505c97cd5d7baccdd7f49235279a4","schema_version":"1.0","event_id":"sha256:3478596b0f45892cfd04c1a3a444258ad55505c97cd5d7baccdd7f49235279a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EXIKRGEGH24Q3RKMMRRRZBPTFL/bundle.json","state_url":"https://pith.science/pith/EXIKRGEGH24Q3RKMMRRRZBPTFL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EXIKRGEGH24Q3RKMMRRRZBPTFL/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":"2026-06-09T06:52:39Z","links":{"resolver":"https://pith.science/pith/EXIKRGEGH24Q3RKMMRRRZBPTFL","bundle":"https://pith.science/pith/EXIKRGEGH24Q3RKMMRRRZBPTFL/bundle.json","state":"https://pith.science/pith/EXIKRGEGH24Q3RKMMRRRZBPTFL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EXIKRGEGH24Q3RKMMRRRZBPTFL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EXIKRGEGH24Q3RKMMRRRZBPTFL","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":"c02ae0f3911b06d7a0ea55f224034fd5fc813eaf8b164a85b6c91adc55048d10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-12-17T08:52:41Z","title_canon_sha256":"790ff320039f54b6890ec19b7ad5e46ff2ade4177e229fcfa817f21d241e28d4"},"schema_version":"1.0","source":{"id":"1412.5291","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.5291","created_at":"2026-05-18T01:01:02Z"},{"alias_kind":"arxiv_version","alias_value":"1412.5291v1","created_at":"2026-05-18T01:01:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.5291","created_at":"2026-05-18T01:01:02Z"},{"alias_kind":"pith_short_12","alias_value":"EXIKRGEGH24Q","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EXIKRGEGH24Q3RKM","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EXIKRGEG","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:3478596b0f45892cfd04c1a3a444258ad55505c97cd5d7baccdd7f49235279a4","target":"graph","created_at":"2026-05-18T01:01:02Z","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 methods for solving stochastic control problems of systems of forward-backward mean-field equations with delay, in finite or infinite horizon. Necessary and sufficient maximum principles under partial information are given. The results are applied to solve a recursive utility optimal problem","authors_text":"Elin Engen Rose, Nacira Agram","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-12-17T08:52:41Z","title":"Optimal control of forward-backward mean-field stochastic delayed systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5291","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":"sha256:737ff992417fa0b72eba67a7ce79d37df7c3a83d523f7ae64f344462222b5f14","target":"record","created_at":"2026-05-18T01:01:02Z","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":"c02ae0f3911b06d7a0ea55f224034fd5fc813eaf8b164a85b6c91adc55048d10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-12-17T08:52:41Z","title_canon_sha256":"790ff320039f54b6890ec19b7ad5e46ff2ade4177e229fcfa817f21d241e28d4"},"schema_version":"1.0","source":{"id":"1412.5291","kind":"arxiv","version":1}},"canonical_sha256":"25d0a898863eb90dc54c64631c85f32acfd01811bc3eddd3473b5fcfdc116316","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25d0a898863eb90dc54c64631c85f32acfd01811bc3eddd3473b5fcfdc116316","first_computed_at":"2026-05-18T01:01:02.030008Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:02.030008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BWKOwop69kSQz5JTT51Y+fN+BpVHSA6nnAO0Dmc44T9XoFqJhQabkCg0Ue7RrLss7Zefd3TRh3u9HFGM6WsyAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:02.030700Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.5291","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:737ff992417fa0b72eba67a7ce79d37df7c3a83d523f7ae64f344462222b5f14","sha256:3478596b0f45892cfd04c1a3a444258ad55505c97cd5d7baccdd7f49235279a4"],"state_sha256":"0c92e4f4e9c1b2334d0ad4829f2e28b90eb05d3720129ad539749bb56efeb751"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8WQX5i1+Z0w/o9o9UqUubVbG/MIa1B9T7Dr4ccimqLTmnn6OPiajerfz8Y7OO7yoB425uw9mIj5srSfb0/l6Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T06:52:39.150057Z","bundle_sha256":"b74257c8a69673f7ce62cf6c165e7a8c1800d3278637f9205bc137dffe9dca0f"}}