{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:K6JIDZK7HAU4ZZRECPUUY3VSLY","short_pith_number":"pith:K6JIDZK7","schema_version":"1.0","canonical_sha256":"579281e55f3829cce62413e94c6eb25e3b6f3fbd41566c1d95b12d00c39f6ef2","source":{"kind":"arxiv","id":"1109.5381","version":2},"attestation_state":"computed","paper":{"title":"Density estimates for solutions to one dimensional Backward SDE's","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Omar Aboura (SAMM), Solesne Bourguin (SAMM)","submitted_at":"2011-09-25T18:43:05Z","abstract_excerpt":"In this paper, we derive sufficient conditions for each component of the solution to a general backward stochastic differential equation to have a density for which upper and lower Gaussian estimates can be obtained."},"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":"1109.5381","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-09-25T18:43:05Z","cross_cats_sorted":[],"title_canon_sha256":"781163907c5f45df30461016e8e3c9e80a1d5437ac00393a291a002c47be8e1b","abstract_canon_sha256":"1ad4d846b93e42fc03822d176d0a073487a2ae2fcfcd89918ff43cab93aed678"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:37.289309Z","signature_b64":"SCmZOf3GpQFOgZaor8LFzmLzL3HsGMmEPHceCcW5gjJqoyVP8l/9khLhIkIYNgJC3iR4ZPfzUIfd48pR18mpCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"579281e55f3829cce62413e94c6eb25e3b6f3fbd41566c1d95b12d00c39f6ef2","last_reissued_at":"2026-05-18T02:43:37.285931Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:37.285931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Density estimates for solutions to one dimensional Backward SDE's","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Omar Aboura (SAMM), Solesne Bourguin (SAMM)","submitted_at":"2011-09-25T18:43:05Z","abstract_excerpt":"In this paper, we derive sufficient conditions for each component of the solution to a general backward stochastic differential equation to have a density for which upper and lower Gaussian estimates can be obtained."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5381","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":"1109.5381","created_at":"2026-05-18T02:43:37.286049+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.5381v2","created_at":"2026-05-18T02:43:37.286049+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5381","created_at":"2026-05-18T02:43:37.286049+00:00"},{"alias_kind":"pith_short_12","alias_value":"K6JIDZK7HAU4","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"K6JIDZK7HAU4ZZRE","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"K6JIDZK7","created_at":"2026-05-18T12:26:32.869790+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/K6JIDZK7HAU4ZZRECPUUY3VSLY","json":"https://pith.science/pith/K6JIDZK7HAU4ZZRECPUUY3VSLY.json","graph_json":"https://pith.science/api/pith-number/K6JIDZK7HAU4ZZRECPUUY3VSLY/graph.json","events_json":"https://pith.science/api/pith-number/K6JIDZK7HAU4ZZRECPUUY3VSLY/events.json","paper":"https://pith.science/paper/K6JIDZK7"},"agent_actions":{"view_html":"https://pith.science/pith/K6JIDZK7HAU4ZZRECPUUY3VSLY","download_json":"https://pith.science/pith/K6JIDZK7HAU4ZZRECPUUY3VSLY.json","view_paper":"https://pith.science/paper/K6JIDZK7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.5381&json=true","fetch_graph":"https://pith.science/api/pith-number/K6JIDZK7HAU4ZZRECPUUY3VSLY/graph.json","fetch_events":"https://pith.science/api/pith-number/K6JIDZK7HAU4ZZRECPUUY3VSLY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K6JIDZK7HAU4ZZRECPUUY3VSLY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K6JIDZK7HAU4ZZRECPUUY3VSLY/action/storage_attestation","attest_author":"https://pith.science/pith/K6JIDZK7HAU4ZZRECPUUY3VSLY/action/author_attestation","sign_citation":"https://pith.science/pith/K6JIDZK7HAU4ZZRECPUUY3VSLY/action/citation_signature","submit_replication":"https://pith.science/pith/K6JIDZK7HAU4ZZRECPUUY3VSLY/action/replication_record"}},"created_at":"2026-05-18T02:43:37.286049+00:00","updated_at":"2026-05-18T02:43:37.286049+00:00"}