{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:S772S5MLHN5P33ZOJKIY7JTH6V","short_pith_number":"pith:S772S5ML","schema_version":"1.0","canonical_sha256":"97ffa9758b3b7afdef2e4a918fa667f5445d802285a10eea762f817f7272ed05","source":{"kind":"arxiv","id":"1706.08880","version":1},"attestation_state":"computed","paper":{"title":"Zero-sum stochastic differential game in finite horizon involving impulse controls","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":"2017-06-25T14:21:48Z","abstract_excerpt":"This paper considers the problem of two-player zero-sum stochastic differential game with both players adopting impulse controls in finite horizon under rather weak assumptions on the cost functions ($c$ and $\\chi$ not decreasing in time). We use the dynamic programming principle and viscosity solutions approach to show existence and uniqueness of a solution for the Hamilton-Jacobi-Bellman-Isaacs (HJBI) partial differential equation (PDE) of the game. We prove that the upper and lower value functions coincide."},"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":"1706.08880","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-06-25T14:21:48Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"57b88e0afcb702fdfc35efa8a1d3cdc075516661e5e9dd1fd34fb8e99d7e6c24","abstract_canon_sha256":"1b09aeed69e021ee65e7e807c487b49e88f29b0ff40ef20aff8d86ce4d580606"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:00.553977Z","signature_b64":"u3WvOaJ2RG0+BRC3HRBI+z2ZDUe+lc3wa/4Q+rr4PFDm5Urt7EqC3E+K4rKcuXfayVqSJ/n9WoY9yGSAZiytAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97ffa9758b3b7afdef2e4a918fa667f5445d802285a10eea762f817f7272ed05","last_reissued_at":"2026-05-18T00:05:00.553528Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:00.553528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Zero-sum stochastic differential game in finite horizon involving impulse controls","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":"2017-06-25T14:21:48Z","abstract_excerpt":"This paper considers the problem of two-player zero-sum stochastic differential game with both players adopting impulse controls in finite horizon under rather weak assumptions on the cost functions ($c$ and $\\chi$ not decreasing in time). We use the dynamic programming principle and viscosity solutions approach to show existence and uniqueness of a solution for the Hamilton-Jacobi-Bellman-Isaacs (HJBI) partial differential equation (PDE) of the game. We prove that the upper and lower value functions coincide."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08880","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":"1706.08880","created_at":"2026-05-18T00:05:00.553592+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.08880v1","created_at":"2026-05-18T00:05:00.553592+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08880","created_at":"2026-05-18T00:05:00.553592+00:00"},{"alias_kind":"pith_short_12","alias_value":"S772S5MLHN5P","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"S772S5MLHN5P33ZO","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"S772S5ML","created_at":"2026-05-18T12:31:43.269735+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/S772S5MLHN5P33ZOJKIY7JTH6V","json":"https://pith.science/pith/S772S5MLHN5P33ZOJKIY7JTH6V.json","graph_json":"https://pith.science/api/pith-number/S772S5MLHN5P33ZOJKIY7JTH6V/graph.json","events_json":"https://pith.science/api/pith-number/S772S5MLHN5P33ZOJKIY7JTH6V/events.json","paper":"https://pith.science/paper/S772S5ML"},"agent_actions":{"view_html":"https://pith.science/pith/S772S5MLHN5P33ZOJKIY7JTH6V","download_json":"https://pith.science/pith/S772S5MLHN5P33ZOJKIY7JTH6V.json","view_paper":"https://pith.science/paper/S772S5ML","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.08880&json=true","fetch_graph":"https://pith.science/api/pith-number/S772S5MLHN5P33ZOJKIY7JTH6V/graph.json","fetch_events":"https://pith.science/api/pith-number/S772S5MLHN5P33ZOJKIY7JTH6V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S772S5MLHN5P33ZOJKIY7JTH6V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S772S5MLHN5P33ZOJKIY7JTH6V/action/storage_attestation","attest_author":"https://pith.science/pith/S772S5MLHN5P33ZOJKIY7JTH6V/action/author_attestation","sign_citation":"https://pith.science/pith/S772S5MLHN5P33ZOJKIY7JTH6V/action/citation_signature","submit_replication":"https://pith.science/pith/S772S5MLHN5P33ZOJKIY7JTH6V/action/replication_record"}},"created_at":"2026-05-18T00:05:00.553592+00:00","updated_at":"2026-05-18T00:05:00.553592+00:00"}