{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:NKK3TGVYLP5ZIMTYVISLM3TG6E","short_pith_number":"pith:NKK3TGVY","canonical_record":{"source":{"id":"1303.0618","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-03-04T06:59:25Z","cross_cats_sorted":["cs.SY","math.AP"],"title_canon_sha256":"93fbdd91a543c365b13b91f7e816991f5d3dae5bc016b7c118ee830039aa8441","abstract_canon_sha256":"94cb23035fcbe7a0f4daf3c6f8e1ef0f461e0437493d22c2c371bdefcefb3773"},"schema_version":"1.0"},"canonical_sha256":"6a95b99ab85bfb943278aa24b66e66f10ae4a92895fb7fbffbd86d8ca3a0aec9","source":{"kind":"arxiv","id":"1303.0618","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0618","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0618v2","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0618","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"pith_short_12","alias_value":"NKK3TGVYLP5Z","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NKK3TGVYLP5ZIMTY","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NKK3TGVY","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:NKK3TGVYLP5ZIMTYVISLM3TG6E","target":"record","payload":{"canonical_record":{"source":{"id":"1303.0618","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-03-04T06:59:25Z","cross_cats_sorted":["cs.SY","math.AP"],"title_canon_sha256":"93fbdd91a543c365b13b91f7e816991f5d3dae5bc016b7c118ee830039aa8441","abstract_canon_sha256":"94cb23035fcbe7a0f4daf3c6f8e1ef0f461e0437493d22c2c371bdefcefb3773"},"schema_version":"1.0"},"canonical_sha256":"6a95b99ab85bfb943278aa24b66e66f10ae4a92895fb7fbffbd86d8ca3a0aec9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:00.809149Z","signature_b64":"pJdlgeujPe+XXJr1Bob8KgPjKt8l956CGgCb1WlqpNYg69oqA4LsiAQIVKJgI5k1XTrd9OQGP6c97OVZ1GswDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a95b99ab85bfb943278aa24b66e66f10ae4a92895fb7fbffbd86d8ca3a0aec9","last_reissued_at":"2026-05-17T23:51:00.808591Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:00.808591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.0618","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:51:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VYOkW/dUr10lDBggKvDu6aRL8NwiAac6VVvRTYfhj29KgGqy6tiI/mxgsqkimgB6eWeNWaFuBd2fUqbeoQzkDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:24:04.201875Z"},"content_sha256":"d2ba19fa7b39f790b594627a1f48b6315624c88265f04fcefe5c2eb704b87d0c","schema_version":"1.0","event_id":"sha256:d2ba19fa7b39f790b594627a1f48b6315624c88265f04fcefe5c2eb704b87d0c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:NKK3TGVYLP5ZIMTYVISLM3TG6E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convergence of The Relative Value Iteration for the Ergodic Control Problem of Nondegenerate Diffusions under Near-Monotone Costs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.AP"],"primary_cat":"math.OC","authors_text":"Ari Arapostathis, K. Suresh Kumar, Vivek S. Borkar","submitted_at":"2013-03-04T06:59:25Z","abstract_excerpt":"We study the relative value iteration for the ergodic control problem under a near-monotone running cost structure for a nondegenerate diffusion controlled through its drift. This algorithm takes the form of a quasilinear parabolic Cauchy initial value problem in $\\RR^{d}$. We show that this Cauchy problem stabilizes, or in other words, that the solution of the quasilinear parabolic equation converges for every bounded initial condition in $\\Cc^{2}(\\RR^{d})$ to the solution of the Hamilton--Jacobi--Bellman (HJB) equation associated with the ergodic control problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0618","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:51:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jSGH77j4ufec84moVw5xm4ZimT+c+nOcKU29186Y3HR0fB5aL3uMmBufKjlK9SU8o1lYksHWSNnQbawLWmedAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:24:04.202225Z"},"content_sha256":"11b32420d72f3f732e50ee0f8073062b654b9588a43e181c839b61dd880c134b","schema_version":"1.0","event_id":"sha256:11b32420d72f3f732e50ee0f8073062b654b9588a43e181c839b61dd880c134b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NKK3TGVYLP5ZIMTYVISLM3TG6E/bundle.json","state_url":"https://pith.science/pith/NKK3TGVYLP5ZIMTYVISLM3TG6E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NKK3TGVYLP5ZIMTYVISLM3TG6E/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T07:24:04Z","links":{"resolver":"https://pith.science/pith/NKK3TGVYLP5ZIMTYVISLM3TG6E","bundle":"https://pith.science/pith/NKK3TGVYLP5ZIMTYVISLM3TG6E/bundle.json","state":"https://pith.science/pith/NKK3TGVYLP5ZIMTYVISLM3TG6E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NKK3TGVYLP5ZIMTYVISLM3TG6E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NKK3TGVYLP5ZIMTYVISLM3TG6E","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":"94cb23035fcbe7a0f4daf3c6f8e1ef0f461e0437493d22c2c371bdefcefb3773","cross_cats_sorted":["cs.SY","math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-03-04T06:59:25Z","title_canon_sha256":"93fbdd91a543c365b13b91f7e816991f5d3dae5bc016b7c118ee830039aa8441"},"schema_version":"1.0","source":{"id":"1303.0618","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0618","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0618v2","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0618","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"pith_short_12","alias_value":"NKK3TGVYLP5Z","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NKK3TGVYLP5ZIMTY","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NKK3TGVY","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:11b32420d72f3f732e50ee0f8073062b654b9588a43e181c839b61dd880c134b","target":"graph","created_at":"2026-05-17T23:51:00Z","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 study the relative value iteration for the ergodic control problem under a near-monotone running cost structure for a nondegenerate diffusion controlled through its drift. This algorithm takes the form of a quasilinear parabolic Cauchy initial value problem in $\\RR^{d}$. We show that this Cauchy problem stabilizes, or in other words, that the solution of the quasilinear parabolic equation converges for every bounded initial condition in $\\Cc^{2}(\\RR^{d})$ to the solution of the Hamilton--Jacobi--Bellman (HJB) equation associated with the ergodic control problem.","authors_text":"Ari Arapostathis, K. Suresh Kumar, Vivek S. Borkar","cross_cats":["cs.SY","math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-03-04T06:59:25Z","title":"Convergence of The Relative Value Iteration for the Ergodic Control Problem of Nondegenerate Diffusions under Near-Monotone Costs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0618","kind":"arxiv","version":2},"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:d2ba19fa7b39f790b594627a1f48b6315624c88265f04fcefe5c2eb704b87d0c","target":"record","created_at":"2026-05-17T23:51:00Z","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":"94cb23035fcbe7a0f4daf3c6f8e1ef0f461e0437493d22c2c371bdefcefb3773","cross_cats_sorted":["cs.SY","math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-03-04T06:59:25Z","title_canon_sha256":"93fbdd91a543c365b13b91f7e816991f5d3dae5bc016b7c118ee830039aa8441"},"schema_version":"1.0","source":{"id":"1303.0618","kind":"arxiv","version":2}},"canonical_sha256":"6a95b99ab85bfb943278aa24b66e66f10ae4a92895fb7fbffbd86d8ca3a0aec9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a95b99ab85bfb943278aa24b66e66f10ae4a92895fb7fbffbd86d8ca3a0aec9","first_computed_at":"2026-05-17T23:51:00.808591Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:00.808591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pJdlgeujPe+XXJr1Bob8KgPjKt8l956CGgCb1WlqpNYg69oqA4LsiAQIVKJgI5k1XTrd9OQGP6c97OVZ1GswDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:00.809149Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.0618","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2ba19fa7b39f790b594627a1f48b6315624c88265f04fcefe5c2eb704b87d0c","sha256:11b32420d72f3f732e50ee0f8073062b654b9588a43e181c839b61dd880c134b"],"state_sha256":"e725e65ad88b1dbfff4637760c58f22b0409fc7950aa221c0486b3f352719df3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zEVskF4zM3BflRxrbqLAqrodtZAN52SB/5P/5+884cy+9+d2XPdC/V2H/fhLjYdoQH5kYX7JQk8kKHPsVZvfBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T07:24:04.204218Z","bundle_sha256":"d6c4dbe8216e6f0914f864191f7bbed89a6800ae458a986a702de6efa6c74840"}}