{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:SSVUM47XVCBLXZZZFQXDJJ3GFO","short_pith_number":"pith:SSVUM47X","schema_version":"1.0","canonical_sha256":"94ab4673f7a882bbe7392c2e34a7662bb3f5123310e476b4971a0cb3b1656f24","source":{"kind":"arxiv","id":"2607.29514","version":1},"attestation_state":"computed","paper":{"title":"Robust mean field control: an application to optimal execution under composite uncertainty","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Chenchen Mou, Defeng Sun, Huafu Liao, Shuhui Liu","submitted_at":"2026-07-31T15:15:06Z","abstract_excerpt":"We provide a framework for robust mean field control problems that describe multi-dimensional optimal liquidation problems under uncertainty from both the underlying stochastic process and the deterministic model parameters. The verification results are established with Hamilton-Jacobi-Bellman-Isaacs (HJBI) equations where the variables are probability measures and the Hamiltonian nonlinearly involves the joint distribution of position and momentum. Using novel a priori estimates, we establish the well-posedness of the HJBI equations featuring general or quadratic Hamiltonians that are neither"},"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":"2607.29514","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-07-31T15:15:06Z","cross_cats_sorted":[],"title_canon_sha256":"aef50cb7cded1b661f33af19890f7891cd54dd2ab98edbf06ef9c62265026833","abstract_canon_sha256":"f2f76d0a159cb3cc481d37ce7293f065292bcc072e649fad127436d886f34dc7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-03T01:36:57.152633Z","signature_b64":"oaXu6cFJAw3n2ikm9qfomkb/Tii1Bu3JxxjCe/o2RTfqn6Q/PfSe3Dp7nsRlsp/Utu+XYCWFuICl5h9Id3MeBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94ab4673f7a882bbe7392c2e34a7662bb3f5123310e476b4971a0cb3b1656f24","last_reissued_at":"2026-08-03T01:36:57.151101Z","signature_status":"signed_v1","first_computed_at":"2026-08-03T01:36:57.151101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Robust mean field control: an application to optimal execution under composite uncertainty","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Chenchen Mou, Defeng Sun, Huafu Liao, Shuhui Liu","submitted_at":"2026-07-31T15:15:06Z","abstract_excerpt":"We provide a framework for robust mean field control problems that describe multi-dimensional optimal liquidation problems under uncertainty from both the underlying stochastic process and the deterministic model parameters. The verification results are established with Hamilton-Jacobi-Bellman-Isaacs (HJBI) equations where the variables are probability measures and the Hamiltonian nonlinearly involves the joint distribution of position and momentum. Using novel a priori estimates, we establish the well-posedness of the HJBI equations featuring general or quadratic Hamiltonians that are neither"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.29514","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.29514/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2607.29514","created_at":"2026-08-03T01:36:57.152003+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.29514v1","created_at":"2026-08-03T01:36:57.152003+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.29514","created_at":"2026-08-03T01:36:57.152003+00:00"},{"alias_kind":"pith_short_12","alias_value":"SSVUM47XVCBL","created_at":"2026-08-03T01:36:57.152003+00:00"},{"alias_kind":"pith_short_16","alias_value":"SSVUM47XVCBLXZZZ","created_at":"2026-08-03T01:36:57.152003+00:00"},{"alias_kind":"pith_short_8","alias_value":"SSVUM47X","created_at":"2026-08-03T01:36:57.152003+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/SSVUM47XVCBLXZZZFQXDJJ3GFO","json":"https://pith.science/pith/SSVUM47XVCBLXZZZFQXDJJ3GFO.json","graph_json":"https://pith.science/api/pith-number/SSVUM47XVCBLXZZZFQXDJJ3GFO/graph.json","events_json":"https://pith.science/api/pith-number/SSVUM47XVCBLXZZZFQXDJJ3GFO/events.json","paper":"https://pith.science/paper/SSVUM47X"},"agent_actions":{"view_html":"https://pith.science/pith/SSVUM47XVCBLXZZZFQXDJJ3GFO","download_json":"https://pith.science/pith/SSVUM47XVCBLXZZZFQXDJJ3GFO.json","view_paper":"https://pith.science/paper/SSVUM47X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.29514&json=true","fetch_graph":"https://pith.science/api/pith-number/SSVUM47XVCBLXZZZFQXDJJ3GFO/graph.json","fetch_events":"https://pith.science/api/pith-number/SSVUM47XVCBLXZZZFQXDJJ3GFO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SSVUM47XVCBLXZZZFQXDJJ3GFO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SSVUM47XVCBLXZZZFQXDJJ3GFO/action/storage_attestation","attest_author":"https://pith.science/pith/SSVUM47XVCBLXZZZFQXDJJ3GFO/action/author_attestation","sign_citation":"https://pith.science/pith/SSVUM47XVCBLXZZZFQXDJJ3GFO/action/citation_signature","submit_replication":"https://pith.science/pith/SSVUM47XVCBLXZZZFQXDJJ3GFO/action/replication_record"}},"created_at":"2026-08-03T01:36:57.152003+00:00","updated_at":"2026-08-03T01:36:57.152003+00:00"}