{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:Q5Q5LRN7OVXE6FSNCOAA6QIEUD","short_pith_number":"pith:Q5Q5LRN7","canonical_record":{"source":{"id":"1305.0914","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-05-04T12:00:49Z","cross_cats_sorted":[],"title_canon_sha256":"28ad71a00cabccfd58f7922177fbc4590ea60ad29c8acf1c3227d16c58bab64d","abstract_canon_sha256":"5ef64ce9570272154bf27a917a2d26da749c34a05cd04ce34f8800be63a59e0f"},"schema_version":"1.0"},"canonical_sha256":"8761d5c5bf756e4f164d13800f4104a0d2ed2671e432adc493a800c55704411a","source":{"kind":"arxiv","id":"1305.0914","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0914","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0914v1","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0914","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"Q5Q5LRN7OVXE","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"Q5Q5LRN7OVXE6FSN","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"Q5Q5LRN7","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:Q5Q5LRN7OVXE6FSNCOAA6QIEUD","target":"record","payload":{"canonical_record":{"source":{"id":"1305.0914","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-05-04T12:00:49Z","cross_cats_sorted":[],"title_canon_sha256":"28ad71a00cabccfd58f7922177fbc4590ea60ad29c8acf1c3227d16c58bab64d","abstract_canon_sha256":"5ef64ce9570272154bf27a917a2d26da749c34a05cd04ce34f8800be63a59e0f"},"schema_version":"1.0"},"canonical_sha256":"8761d5c5bf756e4f164d13800f4104a0d2ed2671e432adc493a800c55704411a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:31.319247Z","signature_b64":"DDfQkxtvPl28WaEyC2SqTsbdwSWmplSQXKCc6DYm39VbwQ17e4i8XV1i0U+IeMAf4lojA/y14TxVNuNcYkuzBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8761d5c5bf756e4f164d13800f4104a0d2ed2671e432adc493a800c55704411a","last_reissued_at":"2026-05-18T03:26:31.318585Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:31.318585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.0914","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":"2026-05-18T03:26:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D53ckfJp6NDBai9084lv5mdnJTC3FuaadM3Eoyj2C4DrIroxy09uIhBilPk/yAdp9YbFw3w6aCGsfd15F+/7Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:22:25.680924Z"},"content_sha256":"84b984984ea1b64fd6690b0a695993212c86c0e46e719c89b389283dc4db115c","schema_version":"1.0","event_id":"sha256:84b984984ea1b64fd6690b0a695993212c86c0e46e719c89b389283dc4db115c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:Q5Q5LRN7OVXE6FSNCOAA6QIEUD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Minimax Impulse Control Problems in Finite Horizon","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Brahim El Asri","submitted_at":"2013-05-04T12:00:49Z","abstract_excerpt":"We consider the problem of impulse control minimax in finite horizon, when cost functions $(C(t,x,\\xi)>0)$. We show existence of value function of the problem. Moreover, the value function is characterized as the unique viscosity solution of an Isaacs quasi-variational inequality. This problem is in relation with an application in mathematical finance."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0914","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":"2026-05-18T03:26:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C+5MQywF37d+/oMWm7rnuudqaU5Dqmm///Qy0xZaIxh/szqXGmsFnwODg5T5wB+MpZfpVxAh4mVGDrrvpsE/Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:22:25.681264Z"},"content_sha256":"35ca8a0167b675cd2a4404da5ad667ef7592e16b043f9f92c80472700de5b876","schema_version":"1.0","event_id":"sha256:35ca8a0167b675cd2a4404da5ad667ef7592e16b043f9f92c80472700de5b876"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q5Q5LRN7OVXE6FSNCOAA6QIEUD/bundle.json","state_url":"https://pith.science/pith/Q5Q5LRN7OVXE6FSNCOAA6QIEUD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q5Q5LRN7OVXE6FSNCOAA6QIEUD/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":"2026-06-23T16:22:25Z","links":{"resolver":"https://pith.science/pith/Q5Q5LRN7OVXE6FSNCOAA6QIEUD","bundle":"https://pith.science/pith/Q5Q5LRN7OVXE6FSNCOAA6QIEUD/bundle.json","state":"https://pith.science/pith/Q5Q5LRN7OVXE6FSNCOAA6QIEUD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q5Q5LRN7OVXE6FSNCOAA6QIEUD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:Q5Q5LRN7OVXE6FSNCOAA6QIEUD","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":"5ef64ce9570272154bf27a917a2d26da749c34a05cd04ce34f8800be63a59e0f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-05-04T12:00:49Z","title_canon_sha256":"28ad71a00cabccfd58f7922177fbc4590ea60ad29c8acf1c3227d16c58bab64d"},"schema_version":"1.0","source":{"id":"1305.0914","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0914","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0914v1","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0914","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"Q5Q5LRN7OVXE","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"Q5Q5LRN7OVXE6FSN","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"Q5Q5LRN7","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:35ca8a0167b675cd2a4404da5ad667ef7592e16b043f9f92c80472700de5b876","target":"graph","created_at":"2026-05-18T03:26:31Z","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 the problem of impulse control minimax in finite horizon, when cost functions $(C(t,x,\\xi)>0)$. We show existence of value function of the problem. Moreover, the value function is characterized as the unique viscosity solution of an Isaacs quasi-variational inequality. This problem is in relation with an application in mathematical finance.","authors_text":"Brahim El Asri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-05-04T12:00:49Z","title":"Minimax Impulse Control Problems in Finite Horizon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0914","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":"sha256:84b984984ea1b64fd6690b0a695993212c86c0e46e719c89b389283dc4db115c","target":"record","created_at":"2026-05-18T03:26:31Z","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":"5ef64ce9570272154bf27a917a2d26da749c34a05cd04ce34f8800be63a59e0f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-05-04T12:00:49Z","title_canon_sha256":"28ad71a00cabccfd58f7922177fbc4590ea60ad29c8acf1c3227d16c58bab64d"},"schema_version":"1.0","source":{"id":"1305.0914","kind":"arxiv","version":1}},"canonical_sha256":"8761d5c5bf756e4f164d13800f4104a0d2ed2671e432adc493a800c55704411a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8761d5c5bf756e4f164d13800f4104a0d2ed2671e432adc493a800c55704411a","first_computed_at":"2026-05-18T03:26:31.318585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:31.318585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DDfQkxtvPl28WaEyC2SqTsbdwSWmplSQXKCc6DYm39VbwQ17e4i8XV1i0U+IeMAf4lojA/y14TxVNuNcYkuzBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:31.319247Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0914","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84b984984ea1b64fd6690b0a695993212c86c0e46e719c89b389283dc4db115c","sha256:35ca8a0167b675cd2a4404da5ad667ef7592e16b043f9f92c80472700de5b876"],"state_sha256":"55b06093c1e93c91095f521eff0aab2e970471d4877522c2872689a1ac18b00e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6WOIvkUz9Q2D+B//JVUozJciLASNhZWnxBDzs8Uz7nCMPHwR7bB5sxOcvTT5//RIBZobuAilQSLXiUgeWe9bCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T16:22:25.683120Z","bundle_sha256":"38810dbd80038c0e7a693eeb45100a9f4f99e85e5f5cc0fb031884472fa68595"}}