{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:BO6WYDIM2MVAV75OHRODEB3W5L","short_pith_number":"pith:BO6WYDIM","canonical_record":{"source":{"id":"1804.08967","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-04-24T11:49:33Z","cross_cats_sorted":[],"title_canon_sha256":"2d169340cf532979df10edf78b1987af0d754f303225ae82f3f57f342bcd18cd","abstract_canon_sha256":"68d8e60feaea4cda1671137f27ff0606c0b73bec8865a0897408f22f1abb5fb7"},"schema_version":"1.0"},"canonical_sha256":"0bbd6c0d0cd32a0affae3c5c320776ead264c95cdaf57c7b641f8767d313555c","source":{"kind":"arxiv","id":"1804.08967","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08967","created_at":"2026-05-18T00:17:36Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08967v1","created_at":"2026-05-18T00:17:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08967","created_at":"2026-05-18T00:17:36Z"},{"alias_kind":"pith_short_12","alias_value":"BO6WYDIM2MVA","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BO6WYDIM2MVAV75O","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BO6WYDIM","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:BO6WYDIM2MVAV75OHRODEB3W5L","target":"record","payload":{"canonical_record":{"source":{"id":"1804.08967","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-04-24T11:49:33Z","cross_cats_sorted":[],"title_canon_sha256":"2d169340cf532979df10edf78b1987af0d754f303225ae82f3f57f342bcd18cd","abstract_canon_sha256":"68d8e60feaea4cda1671137f27ff0606c0b73bec8865a0897408f22f1abb5fb7"},"schema_version":"1.0"},"canonical_sha256":"0bbd6c0d0cd32a0affae3c5c320776ead264c95cdaf57c7b641f8767d313555c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:36.758036Z","signature_b64":"mLWV9A+COEykx2mtiFTNkry8/nQR0jUfrvvQQ3kc1iBSu+4DoTw/DtjMz754Aezg9Nbgk3qdsfTT8ydhhpKlDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0bbd6c0d0cd32a0affae3c5c320776ead264c95cdaf57c7b641f8767d313555c","last_reissued_at":"2026-05-18T00:17:36.757307Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:36.757307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.08967","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:17:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aLh0MBnhKEgp7Fk0WRf1pIPeeNm9unLlLQRg7KawW/MKtesMfA07UE/NrAGgVN/cgsYG5Sn3VY0RK3WxbgfjAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T00:48:14.382279Z"},"content_sha256":"a06b5870bd35a7b12d18d193e3f73f4a1a2ff2f652f8c4877b86ca3b40ce7023","schema_version":"1.0","event_id":"sha256:a06b5870bd35a7b12d18d193e3f73f4a1a2ff2f652f8c4877b86ca3b40ce7023"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:BO6WYDIM2MVAV75OHRODEB3W5L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"One simple remark concerning the uniform value","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Dmitry Khlopin","submitted_at":"2018-04-24T11:49:33Z","abstract_excerpt":"The paper is devoted to dynamic games. We consider a general enough framework, which is not limited to e.g. differential games and could accommodate both discrete and continuous time. Assuming common dynamics, we study two game families with total payoffs that are defined either as the Ces\\`{a}ro average (long run average game family) or Abel average (discounting game family) of the running costs. We study a robust strategy that would provide a near-optimal total payoff for all sufficiently small discounts and for all sufficiently large planning horizons. Assuming merely the Dynamic Programmin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08967","kind":"arxiv","version":1},"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":"2026-05-18T00:17:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h2/V9Kt2dOLrSriPhrluXVDh0aEBYQWdF3rU4vjtSNpOfykEBf8qC2QmwZbTJKQUgQLF1kgUiKqnGelegIYkDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T00:48:14.382694Z"},"content_sha256":"eb3d98d61db4fa6c0e01c1a395178c240926462b032cf111bcbf1fc18bfb3953","schema_version":"1.0","event_id":"sha256:eb3d98d61db4fa6c0e01c1a395178c240926462b032cf111bcbf1fc18bfb3953"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BO6WYDIM2MVAV75OHRODEB3W5L/bundle.json","state_url":"https://pith.science/pith/BO6WYDIM2MVAV75OHRODEB3W5L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BO6WYDIM2MVAV75OHRODEB3W5L/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":"2026-06-27T00:48:14Z","links":{"resolver":"https://pith.science/pith/BO6WYDIM2MVAV75OHRODEB3W5L","bundle":"https://pith.science/pith/BO6WYDIM2MVAV75OHRODEB3W5L/bundle.json","state":"https://pith.science/pith/BO6WYDIM2MVAV75OHRODEB3W5L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BO6WYDIM2MVAV75OHRODEB3W5L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BO6WYDIM2MVAV75OHRODEB3W5L","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":"68d8e60feaea4cda1671137f27ff0606c0b73bec8865a0897408f22f1abb5fb7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-04-24T11:49:33Z","title_canon_sha256":"2d169340cf532979df10edf78b1987af0d754f303225ae82f3f57f342bcd18cd"},"schema_version":"1.0","source":{"id":"1804.08967","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08967","created_at":"2026-05-18T00:17:36Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08967v1","created_at":"2026-05-18T00:17:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08967","created_at":"2026-05-18T00:17:36Z"},{"alias_kind":"pith_short_12","alias_value":"BO6WYDIM2MVA","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BO6WYDIM2MVAV75O","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BO6WYDIM","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:eb3d98d61db4fa6c0e01c1a395178c240926462b032cf111bcbf1fc18bfb3953","target":"graph","created_at":"2026-05-18T00:17:36Z","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":"The paper is devoted to dynamic games. We consider a general enough framework, which is not limited to e.g. differential games and could accommodate both discrete and continuous time. Assuming common dynamics, we study two game families with total payoffs that are defined either as the Ces\\`{a}ro average (long run average game family) or Abel average (discounting game family) of the running costs. We study a robust strategy that would provide a near-optimal total payoff for all sufficiently small discounts and for all sufficiently large planning horizons. Assuming merely the Dynamic Programmin","authors_text":"Dmitry Khlopin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-04-24T11:49:33Z","title":"One simple remark concerning the uniform value"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08967","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:a06b5870bd35a7b12d18d193e3f73f4a1a2ff2f652f8c4877b86ca3b40ce7023","target":"record","created_at":"2026-05-18T00:17:36Z","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":"68d8e60feaea4cda1671137f27ff0606c0b73bec8865a0897408f22f1abb5fb7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-04-24T11:49:33Z","title_canon_sha256":"2d169340cf532979df10edf78b1987af0d754f303225ae82f3f57f342bcd18cd"},"schema_version":"1.0","source":{"id":"1804.08967","kind":"arxiv","version":1}},"canonical_sha256":"0bbd6c0d0cd32a0affae3c5c320776ead264c95cdaf57c7b641f8767d313555c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0bbd6c0d0cd32a0affae3c5c320776ead264c95cdaf57c7b641f8767d313555c","first_computed_at":"2026-05-18T00:17:36.757307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:36.757307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mLWV9A+COEykx2mtiFTNkry8/nQR0jUfrvvQQ3kc1iBSu+4DoTw/DtjMz754Aezg9Nbgk3qdsfTT8ydhhpKlDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:36.758036Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.08967","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a06b5870bd35a7b12d18d193e3f73f4a1a2ff2f652f8c4877b86ca3b40ce7023","sha256:eb3d98d61db4fa6c0e01c1a395178c240926462b032cf111bcbf1fc18bfb3953"],"state_sha256":"d7de82f6ee78c58934d3da3c42f0df43243193965b8f05d6a8b08f33d0be268a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QgTuazhkg3MMVqYv8KEda8o1sAbheglrG8044VIGoF758RFwtlqSUdpR32u5n2kAlJfTcfTjhNVHgFCc9y0QBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T00:48:14.384509Z","bundle_sha256":"c564aaf9d66da6deca62734b23886b6d6575394cd2c5c44251b976816ea78258"}}