{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:66J6KGCSXMYXCBC6FDHRFTQZB6","short_pith_number":"pith:66J6KGCS","schema_version":"1.0","canonical_sha256":"f793e51852bb3171045e28cf12ce190f90da33ac267b55ff9a2a360076674350","source":{"kind":"arxiv","id":"1804.02547","version":2},"attestation_state":"computed","paper":{"title":"A multidimensional problem of optimal dividends with irreversible switching: a convergent numerical scheme","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"math.OC","authors_text":"Nora Muler, Pablo Azcue","submitted_at":"2018-04-07T11:42:19Z","abstract_excerpt":"In this paper we study the problem of optimal dividend payment strategy which maximizes the expected discounted sum of dividends to a multidimensional set up of n associated insurance companies where the surplus process follows an n-dimensional compound Poisson process. The general manager of the companies has the possibility at any time to exercise an irreversible switch into another regime; we also take into account an expected discounted value at ruin. This multidimensional dividend problem is a mixed singular control/optimal problem. We prove that the optimal value function is a viscosity "},"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":"1804.02547","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-04-07T11:42:19Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"1294fad60bd4eef74c2d7fed504d59a6a7b5ab09978d29d0eac03e07a2b6c876","abstract_canon_sha256":"77d4ce242c51ef9fdc92463426a6db402d3d797d5b66045b874cd3655e065faa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:13.037831Z","signature_b64":"2en+fwWfZdB4xTgWvPC/QLIFfMdwjCBwDjHmqIoQXsKIVHCzh72LQzg09Y4SzTV4Hr3r1+M4V7gJWgre8cnkBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f793e51852bb3171045e28cf12ce190f90da33ac267b55ff9a2a360076674350","last_reissued_at":"2026-05-18T00:04:13.036943Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:13.036943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A multidimensional problem of optimal dividends with irreversible switching: a convergent numerical scheme","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"math.OC","authors_text":"Nora Muler, Pablo Azcue","submitted_at":"2018-04-07T11:42:19Z","abstract_excerpt":"In this paper we study the problem of optimal dividend payment strategy which maximizes the expected discounted sum of dividends to a multidimensional set up of n associated insurance companies where the surplus process follows an n-dimensional compound Poisson process. The general manager of the companies has the possibility at any time to exercise an irreversible switch into another regime; we also take into account an expected discounted value at ruin. This multidimensional dividend problem is a mixed singular control/optimal problem. We prove that the optimal value function is a viscosity "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02547","kind":"arxiv","version":2},"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":"1804.02547","created_at":"2026-05-18T00:04:13.037104+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.02547v2","created_at":"2026-05-18T00:04:13.037104+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.02547","created_at":"2026-05-18T00:04:13.037104+00:00"},{"alias_kind":"pith_short_12","alias_value":"66J6KGCSXMYX","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_16","alias_value":"66J6KGCSXMYXCBC6","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_8","alias_value":"66J6KGCS","created_at":"2026-05-18T12:32:08.215937+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/66J6KGCSXMYXCBC6FDHRFTQZB6","json":"https://pith.science/pith/66J6KGCSXMYXCBC6FDHRFTQZB6.json","graph_json":"https://pith.science/api/pith-number/66J6KGCSXMYXCBC6FDHRFTQZB6/graph.json","events_json":"https://pith.science/api/pith-number/66J6KGCSXMYXCBC6FDHRFTQZB6/events.json","paper":"https://pith.science/paper/66J6KGCS"},"agent_actions":{"view_html":"https://pith.science/pith/66J6KGCSXMYXCBC6FDHRFTQZB6","download_json":"https://pith.science/pith/66J6KGCSXMYXCBC6FDHRFTQZB6.json","view_paper":"https://pith.science/paper/66J6KGCS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.02547&json=true","fetch_graph":"https://pith.science/api/pith-number/66J6KGCSXMYXCBC6FDHRFTQZB6/graph.json","fetch_events":"https://pith.science/api/pith-number/66J6KGCSXMYXCBC6FDHRFTQZB6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/66J6KGCSXMYXCBC6FDHRFTQZB6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/66J6KGCSXMYXCBC6FDHRFTQZB6/action/storage_attestation","attest_author":"https://pith.science/pith/66J6KGCSXMYXCBC6FDHRFTQZB6/action/author_attestation","sign_citation":"https://pith.science/pith/66J6KGCSXMYXCBC6FDHRFTQZB6/action/citation_signature","submit_replication":"https://pith.science/pith/66J6KGCSXMYXCBC6FDHRFTQZB6/action/replication_record"}},"created_at":"2026-05-18T00:04:13.037104+00:00","updated_at":"2026-05-18T00:04:13.037104+00:00"}