{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:J6MUIZXQGL6MOH2QUOAZAQ4NNF","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":"03da38315f5e243379bcb4c7730de425633c48fb7d2956f37a50b62f0fb57e65","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-16T11:52:55Z","title_canon_sha256":"1f13ff06d45020022a0c3f0d6a0eafda2ff2d726997c91e5cc0a46edbec10c3c"},"schema_version":"1.0","source":{"id":"1805.06255","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.06255","created_at":"2026-05-18T00:15:48Z"},{"alias_kind":"arxiv_version","alias_value":"1805.06255v1","created_at":"2026-05-18T00:15:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.06255","created_at":"2026-05-18T00:15:48Z"},{"alias_kind":"pith_short_12","alias_value":"J6MUIZXQGL6M","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"J6MUIZXQGL6MOH2Q","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"J6MUIZXQ","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:6e4d7532272f01cb6e3a447a92019b530ce3e5fe69496bd5f36427e889c6f454","target":"graph","created_at":"2026-05-18T00:15:48Z","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 class of numerical schemes for nonlocal HJB variational inequalities (HJBVIs) with monotone drivers. The solution and free boundary of the HJBVI are constructed from a sequence of penalized equations, for which a continuous dependence result is derived and the penalization error is estimated. The penalized equation is then discretized by a class of semi-implicit monotone approximations. We present a novel analysis technique for the well-posedness of the discrete equation, and demonstrate the convergence of the scheme, which subsequently gives a constructive proof for the existence","authors_text":"Christoph Reisinger, Yufei Zhang","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-16T11:52:55Z","title":"A penalty scheme and policy iteration for nonlocal HJB variational inequalities with monotone drivers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.06255","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":"sha256:78df2057342c1b3a5cd1a2cb1b8ea7824310820ebc17e0e65853e4319bd0f741","target":"record","created_at":"2026-05-18T00:15:48Z","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":"03da38315f5e243379bcb4c7730de425633c48fb7d2956f37a50b62f0fb57e65","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-16T11:52:55Z","title_canon_sha256":"1f13ff06d45020022a0c3f0d6a0eafda2ff2d726997c91e5cc0a46edbec10c3c"},"schema_version":"1.0","source":{"id":"1805.06255","kind":"arxiv","version":1}},"canonical_sha256":"4f994466f032fcc71f50a38190438d6965422250475cfa0c02ea3cc330a81017","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f994466f032fcc71f50a38190438d6965422250475cfa0c02ea3cc330a81017","first_computed_at":"2026-05-18T00:15:48.282456Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:48.282456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VTE6wJ7+pAIJ/4t40T4yY2Vv94cymTlEFVxZhtWoqM8YVNCyf1wbGrs5VwrnDijdNlTrs6/3M8HbtD4l9awiCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:48.283012Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.06255","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78df2057342c1b3a5cd1a2cb1b8ea7824310820ebc17e0e65853e4319bd0f741","sha256:6e4d7532272f01cb6e3a447a92019b530ce3e5fe69496bd5f36427e889c6f454"],"state_sha256":"4216ba070234e1b5a0505fabd0088517109b5886e5da5222438ca4e0dd89bda3"}