{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6N473AW5ENGPUPBTZSXFAUHNO5","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":"87cc00c29d52264bf28d8a2f656e269e48fd5c3801805edaa72df7c7e0f33e56","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-02-05T16:33:18Z","title_canon_sha256":"b736a8556ca58a7258fa90012063f0978da06b5b747296ca00fa50f15b66b089"},"schema_version":"1.0","source":{"id":"1502.01629","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.01629","created_at":"2026-05-18T01:21:01Z"},{"alias_kind":"arxiv_version","alias_value":"1502.01629v1","created_at":"2026-05-18T01:21:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.01629","created_at":"2026-05-18T01:21:01Z"},{"alias_kind":"pith_short_12","alias_value":"6N473AW5ENGP","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6N473AW5ENGPUPBT","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6N473AW5","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:67102e29adf64c9b9c639b6dca43ed46e6c9c9c10ae0a035ca3b334fd0327d6a","target":"graph","created_at":"2026-05-18T01:21:01Z","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 parallel algorithm for the numerical solution of a class of second order semi-linear equations coming from stochastic optimal control problems, by means of a dynamic domain decomposition technique. The new method is an extension of the patchy domain decomposition method presented in a previous work for first order Hamilton-Jacobi-Bellman equations related to deterministic optimal control problems. The semi-Lagrangian scheme underlying the original method is modified in order to deal with (possibly degenerate) diffusion, by approximating the stochastic optimal control problem assoc","authors_text":"Maurizio Falcone, Simone Cacace","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-02-05T16:33:18Z","title":"A dynamic domain decomposition for a class of second order semi-linear equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.01629","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":"sha256:3721a84e04ed2d850edd97c1c7806e76a798d7d129981d39f4ade5377b446548","target":"record","created_at":"2026-05-18T01:21:01Z","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":"87cc00c29d52264bf28d8a2f656e269e48fd5c3801805edaa72df7c7e0f33e56","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-02-05T16:33:18Z","title_canon_sha256":"b736a8556ca58a7258fa90012063f0978da06b5b747296ca00fa50f15b66b089"},"schema_version":"1.0","source":{"id":"1502.01629","kind":"arxiv","version":1}},"canonical_sha256":"f379fd82dd234cfa3c33ccae5050ed776213b86ca9cf45d877cc94b866e9dc07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f379fd82dd234cfa3c33ccae5050ed776213b86ca9cf45d877cc94b866e9dc07","first_computed_at":"2026-05-18T01:21:01.214343Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:01.214343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dPsv+fVvVxhoIKoPMg1qMEcHADRvSYRlSyeWTHCP8sPE7pRljabePVeYtNTXlXjvg8FUlgDGsIsWtEXzffo5BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:01.214842Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.01629","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3721a84e04ed2d850edd97c1c7806e76a798d7d129981d39f4ade5377b446548","sha256:67102e29adf64c9b9c639b6dca43ed46e6c9c9c10ae0a035ca3b334fd0327d6a"],"state_sha256":"4586b14889ce71f5d8eb20060803577407a1e6f817253749dc52963590e3868e"}