{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CUMUAQ7K4MCKB3W2EFRC7SLHSM","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":"fa1fabc430c9a47d0a0c52ec7f088265da998112a567476104fcaaf7531986f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-01-03T13:24:04Z","title_canon_sha256":"bb9fa243ff692a60012ebeb872faf891b43008b5b5a4557b3745d76b387f65cd"},"schema_version":"1.0","source":{"id":"1301.0451","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0451","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0451v1","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0451","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"pith_short_12","alias_value":"CUMUAQ7K4MCK","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CUMUAQ7K4MCKB3W2","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CUMUAQ7K","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:bbbc27e8385f98e5544af4ad39b6c2acd36232e2d0f7a656a852d78fa88d66a4","target":"graph","created_at":"2026-05-18T03:37:19Z","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 a dynamic programming problem with arbitrary state space and bounded rewards. Is it possible to define in an unique way a limit value for the problem, where the \"patience\" of the decision-maker tends to infinity ? We consider, for each evaluation $\\theta$ (a probability distribution over positive integers) the value function $v_{\\theta}$ of the problem where the weight of any stage $t$ is given by $\\theta_t$, and we investigate the uniform convergence of a sequence $(v_{\\theta^k})_k$ when the \"impatience\" of the evaluations vanishes, in the sense that $\\sum_{t} |\\theta^k_{t}-\\theta","authors_text":"J\\'er\\^ome Renault (GREMAQ)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-01-03T13:24:04Z","title":"General limit value in Dynamic Programming"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0451","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":"sha256:98cbd60b26e3e3b55248334a41007b32bac35c0893ba48ab962c2cd9caace174","target":"record","created_at":"2026-05-18T03:37:19Z","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":"fa1fabc430c9a47d0a0c52ec7f088265da998112a567476104fcaaf7531986f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-01-03T13:24:04Z","title_canon_sha256":"bb9fa243ff692a60012ebeb872faf891b43008b5b5a4557b3745d76b387f65cd"},"schema_version":"1.0","source":{"id":"1301.0451","kind":"arxiv","version":1}},"canonical_sha256":"15194043eae304a0eeda21622fc9679323f1284bae4ef6e3f67174fd548a9db6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15194043eae304a0eeda21622fc9679323f1284bae4ef6e3f67174fd548a9db6","first_computed_at":"2026-05-18T03:37:19.602372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:19.602372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aTMmi2zCWY07WhXxq6A2doaJOD4529sH0Et6NA+XKIm6m0KZs8PRQmFyYHPxK+MkBVmw/SJVhbXLYeg9CZ4sCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:19.603057Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.0451","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98cbd60b26e3e3b55248334a41007b32bac35c0893ba48ab962c2cd9caace174","sha256:bbbc27e8385f98e5544af4ad39b6c2acd36232e2d0f7a656a852d78fa88d66a4"],"state_sha256":"674aecbd6bc87897738f6fe336889ab52af0680c7a750d7f338efb76ed35fb80"}