{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:IQ3ONRMN5LTNFZSPWFNMBDA6BK","short_pith_number":"pith:IQ3ONRMN","schema_version":"1.0","canonical_sha256":"4436e6c58deae6d2e64fb15ac08c1e0a9c1043f09c73cc4489111d4e1fe157af","source":{"kind":"arxiv","id":"1611.04680","version":4},"attestation_state":"computed","paper":{"title":"Forward-backward stochastic differential equations with monotone functionals and mean field games with common noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Saran Ahuja, Tzu-Wei Yang, Weiluo Ren","submitted_at":"2016-11-15T02:48:00Z","abstract_excerpt":"In this paper, we consider a system of forward-backward stochastic differential equations (FBSDEs) with monotone functionals. We show the existence and uniqueness of such a system by the method of continuation similarly to Peng and Wu (1999) for classical FBSDEs and obtain estimates under conditional probability. As applications, we prove the well-posedness result for a mean field FBSDE with conditional law and show the existence of a decoupling function. In addition, we show that mean field games with common noise are uniquely solvable under a linear controlled process with convex and weak-mo"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1611.04680","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-11-15T02:48:00Z","cross_cats_sorted":[],"title_canon_sha256":"18b257bf266477610e7562c3d81025388c499175f5ebb67b4d85f58f6e321da8","abstract_canon_sha256":"93a2da119da86c57c63c5953978330657d5a6d447139d576cce87467e6a0d9f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:57.750869Z","signature_b64":"uk1aAJvjkqf9TuBrnYG/cMf38ET/xNe6oytmSYUYOj+AuSFDkv9dYSWFZpm79f3sgF7Z0NBneTZtVTNV6rSFBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4436e6c58deae6d2e64fb15ac08c1e0a9c1043f09c73cc4489111d4e1fe157af","last_reissued_at":"2026-05-18T00:08:57.750176Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:57.750176Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Forward-backward stochastic differential equations with monotone functionals and mean field games with common noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Saran Ahuja, Tzu-Wei Yang, Weiluo Ren","submitted_at":"2016-11-15T02:48:00Z","abstract_excerpt":"In this paper, we consider a system of forward-backward stochastic differential equations (FBSDEs) with monotone functionals. We show the existence and uniqueness of such a system by the method of continuation similarly to Peng and Wu (1999) for classical FBSDEs and obtain estimates under conditional probability. As applications, we prove the well-posedness result for a mean field FBSDE with conditional law and show the existence of a decoupling function. In addition, we show that mean field games with common noise are uniquely solvable under a linear controlled process with convex and weak-mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.04680","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1611.04680","created_at":"2026-05-18T00:08:57.750282+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.04680v4","created_at":"2026-05-18T00:08:57.750282+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.04680","created_at":"2026-05-18T00:08:57.750282+00:00"},{"alias_kind":"pith_short_12","alias_value":"IQ3ONRMN5LTN","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"IQ3ONRMN5LTNFZSP","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"IQ3ONRMN","created_at":"2026-05-18T12:30:22.444734+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IQ3ONRMN5LTNFZSPWFNMBDA6BK","json":"https://pith.science/pith/IQ3ONRMN5LTNFZSPWFNMBDA6BK.json","graph_json":"https://pith.science/api/pith-number/IQ3ONRMN5LTNFZSPWFNMBDA6BK/graph.json","events_json":"https://pith.science/api/pith-number/IQ3ONRMN5LTNFZSPWFNMBDA6BK/events.json","paper":"https://pith.science/paper/IQ3ONRMN"},"agent_actions":{"view_html":"https://pith.science/pith/IQ3ONRMN5LTNFZSPWFNMBDA6BK","download_json":"https://pith.science/pith/IQ3ONRMN5LTNFZSPWFNMBDA6BK.json","view_paper":"https://pith.science/paper/IQ3ONRMN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.04680&json=true","fetch_graph":"https://pith.science/api/pith-number/IQ3ONRMN5LTNFZSPWFNMBDA6BK/graph.json","fetch_events":"https://pith.science/api/pith-number/IQ3ONRMN5LTNFZSPWFNMBDA6BK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IQ3ONRMN5LTNFZSPWFNMBDA6BK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IQ3ONRMN5LTNFZSPWFNMBDA6BK/action/storage_attestation","attest_author":"https://pith.science/pith/IQ3ONRMN5LTNFZSPWFNMBDA6BK/action/author_attestation","sign_citation":"https://pith.science/pith/IQ3ONRMN5LTNFZSPWFNMBDA6BK/action/citation_signature","submit_replication":"https://pith.science/pith/IQ3ONRMN5LTNFZSPWFNMBDA6BK/action/replication_record"}},"created_at":"2026-05-18T00:08:57.750282+00:00","updated_at":"2026-05-18T00:08:57.750282+00:00"}