{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:R7LZNVGP6BTVRIAFY33HILXLV6","short_pith_number":"pith:R7LZNVGP","canonical_record":{"source":{"id":"1501.02518","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-01-12T01:18:38Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"a5d8150ca179dbcdffab0954e5014a9e29ff834892f5403c3612e7939293ac31","abstract_canon_sha256":"64becb570f36a1ab9afa7c4a9135c22642da6e83995ad8ce7c70573e0f037fad"},"schema_version":"1.0"},"canonical_sha256":"8fd796d4cff06758a005c6f6742eebafaf288c0ebd43b8e7f12cf24914632654","source":{"kind":"arxiv","id":"1501.02518","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.02518","created_at":"2026-05-18T01:26:50Z"},{"alias_kind":"arxiv_version","alias_value":"1501.02518v4","created_at":"2026-05-18T01:26:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02518","created_at":"2026-05-18T01:26:50Z"},{"alias_kind":"pith_short_12","alias_value":"R7LZNVGP6BTV","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"R7LZNVGP6BTVRIAF","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"R7LZNVGP","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:R7LZNVGP6BTVRIAFY33HILXLV6","target":"record","payload":{"canonical_record":{"source":{"id":"1501.02518","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-01-12T01:18:38Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"a5d8150ca179dbcdffab0954e5014a9e29ff834892f5403c3612e7939293ac31","abstract_canon_sha256":"64becb570f36a1ab9afa7c4a9135c22642da6e83995ad8ce7c70573e0f037fad"},"schema_version":"1.0"},"canonical_sha256":"8fd796d4cff06758a005c6f6742eebafaf288c0ebd43b8e7f12cf24914632654","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:50.415077Z","signature_b64":"bxVcteiAvNGle9GXRkLhVLaJgXbINDMsUkyAakijZw3e4DhaDAT1hzZH/XqVogcoHmL9ZtPxVfrukxp9eFugCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8fd796d4cff06758a005c6f6742eebafaf288c0ebd43b8e7f12cf24914632654","last_reissued_at":"2026-05-18T01:26:50.414400Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:50.414400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.02518","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:26:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C5nu7LbuWvvQP5b9VC43eCvkxEVfZrc7rxgDx3e7q/Rij4dGO8Mcu6bQigMXzYDVVHf+qKVrYkyA9FqLST4hDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:54:52.382136Z"},"content_sha256":"731f052c9a03a0a77f4a6388af857e1759676e52379c20b1337ba6c5a1cf0819","schema_version":"1.0","event_id":"sha256:731f052c9a03a0a77f4a6388af857e1759676e52379c20b1337ba6c5a1cf0819"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:R7LZNVGP6BTVRIAFY33HILXLV6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Controlled Markov Chains with AVaR Criteria for Unbounded Costs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.PR","authors_text":"Kerem Ugurlu","submitted_at":"2015-01-12T01:18:38Z","abstract_excerpt":"In this paper, we consider the control problem with the Average-Value-at-Risk (AVaR) criteria of the possibly unbounded $L^{1}$-costs in infinite horizon on a Markov Decision Process (MDP). With a suitable state aggregation and by choosing a priori a global variable $s$ heuristically, we show that there exist optimal policies for the infinite horizon problem. To our knowledge, this is the first work of deriving dynamic programming equations with $L^1$-unbounded costs via AVaR-operator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02518","kind":"arxiv","version":4},"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":"2026-05-18T01:26:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vY7TyBIiFZYTNqCq4C8loJEjDwn28ihrE7XDcFQawKBDO9dzaelZkzdXcJFWTAB93YSJQbhldIjqUVqF+eISBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:54:52.382499Z"},"content_sha256":"34a9c7cdc8b7a9f36abe76f4aaa3045574174458906f02a078666b2f28f77a43","schema_version":"1.0","event_id":"sha256:34a9c7cdc8b7a9f36abe76f4aaa3045574174458906f02a078666b2f28f77a43"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R7LZNVGP6BTVRIAFY33HILXLV6/bundle.json","state_url":"https://pith.science/pith/R7LZNVGP6BTVRIAFY33HILXLV6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R7LZNVGP6BTVRIAFY33HILXLV6/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":"2026-06-26T11:54:52Z","links":{"resolver":"https://pith.science/pith/R7LZNVGP6BTVRIAFY33HILXLV6","bundle":"https://pith.science/pith/R7LZNVGP6BTVRIAFY33HILXLV6/bundle.json","state":"https://pith.science/pith/R7LZNVGP6BTVRIAFY33HILXLV6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R7LZNVGP6BTVRIAFY33HILXLV6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:R7LZNVGP6BTVRIAFY33HILXLV6","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":"64becb570f36a1ab9afa7c4a9135c22642da6e83995ad8ce7c70573e0f037fad","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-01-12T01:18:38Z","title_canon_sha256":"a5d8150ca179dbcdffab0954e5014a9e29ff834892f5403c3612e7939293ac31"},"schema_version":"1.0","source":{"id":"1501.02518","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.02518","created_at":"2026-05-18T01:26:50Z"},{"alias_kind":"arxiv_version","alias_value":"1501.02518v4","created_at":"2026-05-18T01:26:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02518","created_at":"2026-05-18T01:26:50Z"},{"alias_kind":"pith_short_12","alias_value":"R7LZNVGP6BTV","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"R7LZNVGP6BTVRIAF","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"R7LZNVGP","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:34a9c7cdc8b7a9f36abe76f4aaa3045574174458906f02a078666b2f28f77a43","target":"graph","created_at":"2026-05-18T01:26:50Z","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":"In this paper, we consider the control problem with the Average-Value-at-Risk (AVaR) criteria of the possibly unbounded $L^{1}$-costs in infinite horizon on a Markov Decision Process (MDP). With a suitable state aggregation and by choosing a priori a global variable $s$ heuristically, we show that there exist optimal policies for the infinite horizon problem. To our knowledge, this is the first work of deriving dynamic programming equations with $L^1$-unbounded costs via AVaR-operator.","authors_text":"Kerem Ugurlu","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-01-12T01:18:38Z","title":"Controlled Markov Chains with AVaR Criteria for Unbounded Costs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02518","kind":"arxiv","version":4},"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":"sha256:731f052c9a03a0a77f4a6388af857e1759676e52379c20b1337ba6c5a1cf0819","target":"record","created_at":"2026-05-18T01:26:50Z","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":"64becb570f36a1ab9afa7c4a9135c22642da6e83995ad8ce7c70573e0f037fad","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-01-12T01:18:38Z","title_canon_sha256":"a5d8150ca179dbcdffab0954e5014a9e29ff834892f5403c3612e7939293ac31"},"schema_version":"1.0","source":{"id":"1501.02518","kind":"arxiv","version":4}},"canonical_sha256":"8fd796d4cff06758a005c6f6742eebafaf288c0ebd43b8e7f12cf24914632654","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8fd796d4cff06758a005c6f6742eebafaf288c0ebd43b8e7f12cf24914632654","first_computed_at":"2026-05-18T01:26:50.414400Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:50.414400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bxVcteiAvNGle9GXRkLhVLaJgXbINDMsUkyAakijZw3e4DhaDAT1hzZH/XqVogcoHmL9ZtPxVfrukxp9eFugCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:50.415077Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.02518","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:731f052c9a03a0a77f4a6388af857e1759676e52379c20b1337ba6c5a1cf0819","sha256:34a9c7cdc8b7a9f36abe76f4aaa3045574174458906f02a078666b2f28f77a43"],"state_sha256":"47ee78d69a08a6d9435968c42b14da4e3fe55237db41588c660f96d9f602af99"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R13I3zuwPPLhBMsVL7Dv9cxG/7fg6HDVIFKSzxkYIYC5Drul6IJJd10f5g0ztQMkAlJQY5zYRrw/yyZ2KtfRAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T11:54:52.384385Z","bundle_sha256":"f7fde4c18f13e782753bc8cc00cf84fc774e9633fd32b4c7a35c2fa25ea16866"}}