{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:LIIGNJASL5JQ765S576AVEGQSE","short_pith_number":"pith:LIIGNJAS","schema_version":"1.0","canonical_sha256":"5a1066a4125f530ffbb2effc0a90d0913eebb1b09a409848a0f561c244ea2099","source":{"kind":"arxiv","id":"1810.11247","version":3},"attestation_state":"computed","paper":{"title":"$L^{p}$ - Variational Solution of Backward Stochastic Differential Equation driven by subdifferential operators on a deterministic interval time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Aurel R\\u{a}\\c{s}canu","submitted_at":"2018-10-26T10:21:18Z","abstract_excerpt":"Our aim is to study the existence and uniqueness of the $L^{p}$ - variational solution, with $p>1,$ of the following multivalued backward stochastic differential equation with $p$-integrable data: \\[ \\left\\{ \\begin{align*} &-dY_{t}+\\partial_{y}\\Psi\\left( t,Y_{t}\\right) dQ_{t} \\ni H\\left( t,Y_{t},Z_{t}\\right) dQ_{t}-Z_{t}dB_{t},\\;t\\in\\left[ 0,T\\right] ,\\\\ &Y_{T} =\\eta, \\end{align*} \\right. \\] where $Q$ is a progresivelly measurable increasing continuous stochastic process and $\\partial_{y}\\Psi$ is the subdifferential of the convex lower semicontinuous function $y\\mapsto\\Psi(t,y)$. In the framew"},"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":"1810.11247","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-10-26T10:21:18Z","cross_cats_sorted":[],"title_canon_sha256":"a2f7041657907175b324427c35c9c77bee58dfde4a8f63f95b0b6f520344084c","abstract_canon_sha256":"99ead37e480e56236d8e49334ae9ca119135a5343efaeeb29d1cdce444eaf741"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:03.176269Z","signature_b64":"WYcESbP1R0RrEl0n7uhvMhaKLNpVC5IbXr6xVkn8WhN6tVo1qAA6M8KKFHjoeEuTjuGt1Qy4FgPCb+WDtG3IAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a1066a4125f530ffbb2effc0a90d0913eebb1b09a409848a0f561c244ea2099","last_reissued_at":"2026-05-17T23:55:03.175851Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:03.175851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$L^{p}$ - Variational Solution of Backward Stochastic Differential Equation driven by subdifferential operators on a deterministic interval time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Aurel R\\u{a}\\c{s}canu","submitted_at":"2018-10-26T10:21:18Z","abstract_excerpt":"Our aim is to study the existence and uniqueness of the $L^{p}$ - variational solution, with $p>1,$ of the following multivalued backward stochastic differential equation with $p$-integrable data: \\[ \\left\\{ \\begin{align*} &-dY_{t}+\\partial_{y}\\Psi\\left( t,Y_{t}\\right) dQ_{t} \\ni H\\left( t,Y_{t},Z_{t}\\right) dQ_{t}-Z_{t}dB_{t},\\;t\\in\\left[ 0,T\\right] ,\\\\ &Y_{T} =\\eta, \\end{align*} \\right. \\] where $Q$ is a progresivelly measurable increasing continuous stochastic process and $\\partial_{y}\\Psi$ is the subdifferential of the convex lower semicontinuous function $y\\mapsto\\Psi(t,y)$. In the framew"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.11247","kind":"arxiv","version":3},"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":"1810.11247","created_at":"2026-05-17T23:55:03.175921+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.11247v3","created_at":"2026-05-17T23:55:03.175921+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.11247","created_at":"2026-05-17T23:55:03.175921+00:00"},{"alias_kind":"pith_short_12","alias_value":"LIIGNJASL5JQ","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_16","alias_value":"LIIGNJASL5JQ765S","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_8","alias_value":"LIIGNJAS","created_at":"2026-05-18T12:32:37.024351+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/LIIGNJASL5JQ765S576AVEGQSE","json":"https://pith.science/pith/LIIGNJASL5JQ765S576AVEGQSE.json","graph_json":"https://pith.science/api/pith-number/LIIGNJASL5JQ765S576AVEGQSE/graph.json","events_json":"https://pith.science/api/pith-number/LIIGNJASL5JQ765S576AVEGQSE/events.json","paper":"https://pith.science/paper/LIIGNJAS"},"agent_actions":{"view_html":"https://pith.science/pith/LIIGNJASL5JQ765S576AVEGQSE","download_json":"https://pith.science/pith/LIIGNJASL5JQ765S576AVEGQSE.json","view_paper":"https://pith.science/paper/LIIGNJAS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.11247&json=true","fetch_graph":"https://pith.science/api/pith-number/LIIGNJASL5JQ765S576AVEGQSE/graph.json","fetch_events":"https://pith.science/api/pith-number/LIIGNJASL5JQ765S576AVEGQSE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LIIGNJASL5JQ765S576AVEGQSE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LIIGNJASL5JQ765S576AVEGQSE/action/storage_attestation","attest_author":"https://pith.science/pith/LIIGNJASL5JQ765S576AVEGQSE/action/author_attestation","sign_citation":"https://pith.science/pith/LIIGNJASL5JQ765S576AVEGQSE/action/citation_signature","submit_replication":"https://pith.science/pith/LIIGNJASL5JQ765S576AVEGQSE/action/replication_record"}},"created_at":"2026-05-17T23:55:03.175921+00:00","updated_at":"2026-05-17T23:55:03.175921+00:00"}