{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ACVV6ZEAZWOQJHQLGHKGBTNM4W","short_pith_number":"pith:ACVV6ZEA","schema_version":"1.0","canonical_sha256":"00ab5f6480cd9d049e0b31d460cdace5bcf811784b47612a20fa87932e1fbcaf","source":{"kind":"arxiv","id":"1506.02249","version":1},"attestation_state":"computed","paper":{"title":"Existence and uniqueness for backward stochastic differential equations driven by a random measure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Elena Bandini","submitted_at":"2015-06-07T10:33:10Z","abstract_excerpt":"We study the following backward stochastic differential equation on finite time horizon driven by an integer-valued random measure $\\mu$ on $\\mathbb R_+\\times E$, where $E$ is a Lusin space, with compensator $\\nu(dt,dx)=dA_t\\,\\phi_t(dx)$: \\[ Y_t = \\xi + \\int_{(t,T]} f(s,Y_{s-},Z_s(\\cdot))\\, d A_s - \\int_{(t,T]} \\int_E Z_s(x) \\, (\\mu-\\nu)(ds,dx),\\qquad 0\\leq t\\leq T. \\] The generator $f$ satisfies, as usual, a uniform Lipschitz condition with respect to its last two arguments. In the literature, the existence and uniqueness for the above equation in the present general setting has only been est"},"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":"1506.02249","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-06-07T10:33:10Z","cross_cats_sorted":[],"title_canon_sha256":"5f82f0f83d781d7311ff00482d069cbbc5f75ff43de5c79110876a7ea2f3d4e0","abstract_canon_sha256":"fe97af80f816efc262c9407ab0ac42ec1724673356fbe108c921e0c2dd9b6544"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:51.728819Z","signature_b64":"l8YoVe/tWaVU+XAjVK9pLz9O0YPs1KzVqY/mvzXMhiNKhcPQII/zKMVGtOx9qedKiMW56c/PD1EWX5XSl0gKAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00ab5f6480cd9d049e0b31d460cdace5bcf811784b47612a20fa87932e1fbcaf","last_reissued_at":"2026-05-18T01:55:51.728114Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:51.728114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence and uniqueness for backward stochastic differential equations driven by a random measure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Elena Bandini","submitted_at":"2015-06-07T10:33:10Z","abstract_excerpt":"We study the following backward stochastic differential equation on finite time horizon driven by an integer-valued random measure $\\mu$ on $\\mathbb R_+\\times E$, where $E$ is a Lusin space, with compensator $\\nu(dt,dx)=dA_t\\,\\phi_t(dx)$: \\[ Y_t = \\xi + \\int_{(t,T]} f(s,Y_{s-},Z_s(\\cdot))\\, d A_s - \\int_{(t,T]} \\int_E Z_s(x) \\, (\\mu-\\nu)(ds,dx),\\qquad 0\\leq t\\leq T. \\] The generator $f$ satisfies, as usual, a uniform Lipschitz condition with respect to its last two arguments. In the literature, the existence and uniqueness for the above equation in the present general setting has only been est"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02249","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":"1506.02249","created_at":"2026-05-18T01:55:51.728205+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.02249v1","created_at":"2026-05-18T01:55:51.728205+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02249","created_at":"2026-05-18T01:55:51.728205+00:00"},{"alias_kind":"pith_short_12","alias_value":"ACVV6ZEAZWOQ","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_16","alias_value":"ACVV6ZEAZWOQJHQL","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_8","alias_value":"ACVV6ZEA","created_at":"2026-05-18T12:29:10.953037+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/ACVV6ZEAZWOQJHQLGHKGBTNM4W","json":"https://pith.science/pith/ACVV6ZEAZWOQJHQLGHKGBTNM4W.json","graph_json":"https://pith.science/api/pith-number/ACVV6ZEAZWOQJHQLGHKGBTNM4W/graph.json","events_json":"https://pith.science/api/pith-number/ACVV6ZEAZWOQJHQLGHKGBTNM4W/events.json","paper":"https://pith.science/paper/ACVV6ZEA"},"agent_actions":{"view_html":"https://pith.science/pith/ACVV6ZEAZWOQJHQLGHKGBTNM4W","download_json":"https://pith.science/pith/ACVV6ZEAZWOQJHQLGHKGBTNM4W.json","view_paper":"https://pith.science/paper/ACVV6ZEA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.02249&json=true","fetch_graph":"https://pith.science/api/pith-number/ACVV6ZEAZWOQJHQLGHKGBTNM4W/graph.json","fetch_events":"https://pith.science/api/pith-number/ACVV6ZEAZWOQJHQLGHKGBTNM4W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ACVV6ZEAZWOQJHQLGHKGBTNM4W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ACVV6ZEAZWOQJHQLGHKGBTNM4W/action/storage_attestation","attest_author":"https://pith.science/pith/ACVV6ZEAZWOQJHQLGHKGBTNM4W/action/author_attestation","sign_citation":"https://pith.science/pith/ACVV6ZEAZWOQJHQLGHKGBTNM4W/action/citation_signature","submit_replication":"https://pith.science/pith/ACVV6ZEAZWOQJHQLGHKGBTNM4W/action/replication_record"}},"created_at":"2026-05-18T01:55:51.728205+00:00","updated_at":"2026-05-18T01:55:51.728205+00:00"}