{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:HWQMYGGM2NWMORTQEIGTJFGISO","short_pith_number":"pith:HWQMYGGM","schema_version":"1.0","canonical_sha256":"3da0cc18ccd36cc74670220d3494c893b163f28be9c3b752a07e27b9effb39f9","source":{"kind":"arxiv","id":"1901.05037","version":1},"attestation_state":"computed","paper":{"title":"The Finite Horizon impulse control Problem with arbitrary cost functions : the Viscosity Solution Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.OC","authors_text":"Brahim El Asri, Sehail Mazid","submitted_at":"2019-01-15T20:25:33Z","abstract_excerpt":"We consider stochastic impulse control problems when the impulses cost functions are arbitrary. We use the dynamic programming principle and viscosity solutions approach to show that the value function is a unique viscosity solution for the associated Hamilton-Jacobi-Bellman equation (HJB) partial differential equation (PDE) of stochastic impulse control problems"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1901.05037","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-01-15T20:25:33Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"acf89cb38af671f8d30e77d24c138bf921949683556a41479902b01cc5059728","abstract_canon_sha256":"9d10039e2a9610bf9006fb20fcfb5806007de240c4ddf7e8140d7a7e63431bd3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:12.172626Z","signature_b64":"wJW+cg6NGfuWgqDUCCXOq5n1+e2q3eRt+ikUL0vfMtEIHx+qYW8Vopk9v5bh8BAZeiwGTsItcjeUUO8+GtFZDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3da0cc18ccd36cc74670220d3494c893b163f28be9c3b752a07e27b9effb39f9","last_reissued_at":"2026-05-17T23:56:12.172004Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:12.172004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Finite Horizon impulse control Problem with arbitrary cost functions : the Viscosity Solution Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.OC","authors_text":"Brahim El Asri, Sehail Mazid","submitted_at":"2019-01-15T20:25:33Z","abstract_excerpt":"We consider stochastic impulse control problems when the impulses cost functions are arbitrary. We use the dynamic programming principle and viscosity solutions approach to show that the value function is a unique viscosity solution for the associated Hamilton-Jacobi-Bellman equation (HJB) partial differential equation (PDE) of stochastic impulse control problems"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.05037","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1901.05037","created_at":"2026-05-17T23:56:12.172087+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.05037v1","created_at":"2026-05-17T23:56:12.172087+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.05037","created_at":"2026-05-17T23:56:12.172087+00:00"},{"alias_kind":"pith_short_12","alias_value":"HWQMYGGM2NWM","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_16","alias_value":"HWQMYGGM2NWMORTQ","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_8","alias_value":"HWQMYGGM","created_at":"2026-05-18T12:33:18.533446+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HWQMYGGM2NWMORTQEIGTJFGISO","json":"https://pith.science/pith/HWQMYGGM2NWMORTQEIGTJFGISO.json","graph_json":"https://pith.science/api/pith-number/HWQMYGGM2NWMORTQEIGTJFGISO/graph.json","events_json":"https://pith.science/api/pith-number/HWQMYGGM2NWMORTQEIGTJFGISO/events.json","paper":"https://pith.science/paper/HWQMYGGM"},"agent_actions":{"view_html":"https://pith.science/pith/HWQMYGGM2NWMORTQEIGTJFGISO","download_json":"https://pith.science/pith/HWQMYGGM2NWMORTQEIGTJFGISO.json","view_paper":"https://pith.science/paper/HWQMYGGM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.05037&json=true","fetch_graph":"https://pith.science/api/pith-number/HWQMYGGM2NWMORTQEIGTJFGISO/graph.json","fetch_events":"https://pith.science/api/pith-number/HWQMYGGM2NWMORTQEIGTJFGISO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HWQMYGGM2NWMORTQEIGTJFGISO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HWQMYGGM2NWMORTQEIGTJFGISO/action/storage_attestation","attest_author":"https://pith.science/pith/HWQMYGGM2NWMORTQEIGTJFGISO/action/author_attestation","sign_citation":"https://pith.science/pith/HWQMYGGM2NWMORTQEIGTJFGISO/action/citation_signature","submit_replication":"https://pith.science/pith/HWQMYGGM2NWMORTQEIGTJFGISO/action/replication_record"}},"created_at":"2026-05-17T23:56:12.172087+00:00","updated_at":"2026-05-17T23:56:12.172087+00:00"}