{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4GOJ3FMPJZQ7OKOBBXMY25H6HS","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":"7dea23bd073479deacd612fd4d338421ad78e8d4e7cb4ebfd5d5e25869402734","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-05-15T20:26:16Z","title_canon_sha256":"00883fca7b3c93b81865ef8df36ea60e615ad639f76c4d826cea2ea7cc723b78"},"schema_version":"1.0","source":{"id":"1405.4002","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4002","created_at":"2026-05-18T02:51:43Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4002v1","created_at":"2026-05-18T02:51:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4002","created_at":"2026-05-18T02:51:43Z"},{"alias_kind":"pith_short_12","alias_value":"4GOJ3FMPJZQ7","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4GOJ3FMPJZQ7OKOB","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4GOJ3FMP","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:893da868153999e3bafb16aa709496a109f8858a0e7d8289e05ab2ce9e120b1f","target":"graph","created_at":"2026-05-18T02:51:43Z","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 discretization of the optimality principle in dynamic programming based on radial basis functions and Shepard's moving least squares approximation method. We prove convergence of the approximate optimal value function to the true one and present several numerical experiments.","authors_text":"Alex Schreiber, Oliver Junge","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-05-15T20:26:16Z","title":"Dynamic programming using radial basis functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4002","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":"sha256:81f27a8e1e11378a9f2521d6b5881415a5a0d8ab9c6f40350a2ba1db27ad2ed5","target":"record","created_at":"2026-05-18T02:51:43Z","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":"7dea23bd073479deacd612fd4d338421ad78e8d4e7cb4ebfd5d5e25869402734","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-05-15T20:26:16Z","title_canon_sha256":"00883fca7b3c93b81865ef8df36ea60e615ad639f76c4d826cea2ea7cc723b78"},"schema_version":"1.0","source":{"id":"1405.4002","kind":"arxiv","version":1}},"canonical_sha256":"e19c9d958f4e61f729c10dd98d74fe3cacfa4b7916907654f6fb1bb93637fa28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e19c9d958f4e61f729c10dd98d74fe3cacfa4b7916907654f6fb1bb93637fa28","first_computed_at":"2026-05-18T02:51:43.301884Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:43.301884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W4U4sU7pbs8TVEkgRhNnBNr6nAVHySpeeY2ArxZWGUBaJ7dY5a3baLMOparjZ0J9pWKV3EV8n/S6Cfo06nIRAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:43.302291Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.4002","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81f27a8e1e11378a9f2521d6b5881415a5a0d8ab9c6f40350a2ba1db27ad2ed5","sha256:893da868153999e3bafb16aa709496a109f8858a0e7d8289e05ab2ce9e120b1f"],"state_sha256":"d67dd13e3da8f9b8961fe144c4e97af4a99f0b70193d57581f24aa61a283f9bf"}