{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:AUB3KR2JFBLYPZK6XN7WSL7ZTV","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":"983bfdbb8ac2234eaa702aa0e3d1e13bd4e1632888633c9e4e11d50a7e610412","cross_cats_sorted":["cs.SY","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-11-14T16:23:05Z","title_canon_sha256":"6625d06a9cf3caae8429bbc839e7023e61a081cc429cc9f6101fb2bd69519e7b"},"schema_version":"1.0","source":{"id":"1111.3271","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3271","created_at":"2026-05-18T04:08:22Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3271v1","created_at":"2026-05-18T04:08:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3271","created_at":"2026-05-18T04:08:22Z"},{"alias_kind":"pith_short_12","alias_value":"AUB3KR2JFBLY","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AUB3KR2JFBLYPZK6","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AUB3KR2J","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:701f9dd2c946271c0681443de9f6f30aa1b67514ddadeb96a289e74037a20c34","target":"graph","created_at":"2026-05-18T04:08:22Z","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 consider an example by Haviv (1996) of a constrained Markov decision process that, in some sense, violates Bellman's principle. We resolve this issue by showing how to preserve a form of Bellman's principle that accounts for a change of constraint at states that are reachable from the initial state.","authors_text":"Edwin K. P. Chong, Jason Adaska, Scott A. Miller","cross_cats":["cs.SY","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-11-14T16:23:05Z","title":"On Bellman's principle with inequality constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3271","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:c94d51cb6f81beff701ec53bc4125e08595f5a6c6fe64412df49373ff288e5d0","target":"record","created_at":"2026-05-18T04:08:22Z","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":"983bfdbb8ac2234eaa702aa0e3d1e13bd4e1632888633c9e4e11d50a7e610412","cross_cats_sorted":["cs.SY","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-11-14T16:23:05Z","title_canon_sha256":"6625d06a9cf3caae8429bbc839e7023e61a081cc429cc9f6101fb2bd69519e7b"},"schema_version":"1.0","source":{"id":"1111.3271","kind":"arxiv","version":1}},"canonical_sha256":"0503b54749285787e55ebb7f692ff99d777537c3571b8fdcc2055c15be51dd0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0503b54749285787e55ebb7f692ff99d777537c3571b8fdcc2055c15be51dd0b","first_computed_at":"2026-05-18T04:08:22.662683Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:22.662683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YJKAwd00wWbD4t6Cae0o8VBrDcwFw/YqXMX63PKKcrRvo8lvfgC6439O6/6mWlR3n+oY4NLzdZ0pzAR4WevUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:22.663179Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.3271","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c94d51cb6f81beff701ec53bc4125e08595f5a6c6fe64412df49373ff288e5d0","sha256:701f9dd2c946271c0681443de9f6f30aa1b67514ddadeb96a289e74037a20c34"],"state_sha256":"364bc05c56dcc64063886fbca34b4bd4a6a2d5bec553a700fae3a5df918eb51a"}