{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:LGQJZHGYVTDGW4VSI5K3C5A6ZF","short_pith_number":"pith:LGQJZHGY","canonical_record":{"source":{"id":"1307.3749","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-07-14T15:39:33Z","cross_cats_sorted":[],"title_canon_sha256":"a98333566c95326a64e6e68833c0fc58b74814a0c661d736a4baef142d2ae968","abstract_canon_sha256":"367ff043df800cdd19fea16db37ef21636d80bf34b09b816a315d5703a545fb1"},"schema_version":"1.0"},"canonical_sha256":"59a09c9cd8acc66b72b24755b1741ec946c791d956a29f6af6389e9d4ea94238","source":{"kind":"arxiv","id":"1307.3749","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3749","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3749v1","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3749","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"pith_short_12","alias_value":"LGQJZHGYVTDG","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LGQJZHGYVTDGW4VS","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LGQJZHGY","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:LGQJZHGYVTDGW4VSI5K3C5A6ZF","target":"record","payload":{"canonical_record":{"source":{"id":"1307.3749","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-07-14T15:39:33Z","cross_cats_sorted":[],"title_canon_sha256":"a98333566c95326a64e6e68833c0fc58b74814a0c661d736a4baef142d2ae968","abstract_canon_sha256":"367ff043df800cdd19fea16db37ef21636d80bf34b09b816a315d5703a545fb1"},"schema_version":"1.0"},"canonical_sha256":"59a09c9cd8acc66b72b24755b1741ec946c791d956a29f6af6389e9d4ea94238","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:27.975860Z","signature_b64":"h2x+wCqSt7+DwYU3JGv+TnPSkKZoMy2ylnsAgy5FLHLK39Gm2Z/gK53F6+h+vw7gYDs32Lrqmr38KYai1BuLAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59a09c9cd8acc66b72b24755b1741ec946c791d956a29f6af6389e9d4ea94238","last_reissued_at":"2026-05-18T03:18:27.975435Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:27.975435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.3749","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:18:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PcfYotl9WXmEzLZwBECOpR+Rnjgpq2V3Dmxa3rB/1JahAaCbu61HvVR3vUSLMZnJso+MnJhRVkEEb2cozS1eCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T14:29:22.062711Z"},"content_sha256":"5262179e40e2d67b657ba4ad2ddbb075809fb08ceabdbc997ad8836e4871592c","schema_version":"1.0","event_id":"sha256:5262179e40e2d67b657ba4ad2ddbb075809fb08ceabdbc997ad8836e4871592c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:LGQJZHGYVTDGW4VSI5K3C5A6ZF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Quasi-linear Reflected Backward Stochastic Partial Differential Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jinniao Qiu, Wenning Wei","submitted_at":"2013-07-14T15:39:33Z","abstract_excerpt":"This paper is concerned with the quasi-linear reflected backward stochastic partial differential equation (RBSPDE for short). Basing on the theory of backward stochastic partial differential equation and the parabolic capacity and potential, we first associate the RBSPDE to a variational problem, and via the penalization method, we prove the existence and uniqueness of the solution for linear RBSPDE with Lapalacian leading coefficients. With the continuity approach, we further obtain the well-posedness of general quasi-linear RBSPDEs. Related results, including It\\^o formulas for backward stoc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3749","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:18:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DiUt4lW6RDQQhx4NSrv/FsguiY5BIhMZBlyvd7lRxzno2oX7g09BURyczr4rPIJgAUbfWLS4B0hn8GAzZwBdCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T14:29:22.063057Z"},"content_sha256":"fa6bf0b415bf67f3ec9289071b36dd4bfcb10388fece809331922699e6db58c0","schema_version":"1.0","event_id":"sha256:fa6bf0b415bf67f3ec9289071b36dd4bfcb10388fece809331922699e6db58c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LGQJZHGYVTDGW4VSI5K3C5A6ZF/bundle.json","state_url":"https://pith.science/pith/LGQJZHGYVTDGW4VSI5K3C5A6ZF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LGQJZHGYVTDGW4VSI5K3C5A6ZF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-26T14:29:22Z","links":{"resolver":"https://pith.science/pith/LGQJZHGYVTDGW4VSI5K3C5A6ZF","bundle":"https://pith.science/pith/LGQJZHGYVTDGW4VSI5K3C5A6ZF/bundle.json","state":"https://pith.science/pith/LGQJZHGYVTDGW4VSI5K3C5A6ZF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LGQJZHGYVTDGW4VSI5K3C5A6ZF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LGQJZHGYVTDGW4VSI5K3C5A6ZF","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"367ff043df800cdd19fea16db37ef21636d80bf34b09b816a315d5703a545fb1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-07-14T15:39:33Z","title_canon_sha256":"a98333566c95326a64e6e68833c0fc58b74814a0c661d736a4baef142d2ae968"},"schema_version":"1.0","source":{"id":"1307.3749","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3749","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3749v1","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3749","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"pith_short_12","alias_value":"LGQJZHGYVTDG","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LGQJZHGYVTDGW4VS","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LGQJZHGY","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:fa6bf0b415bf67f3ec9289071b36dd4bfcb10388fece809331922699e6db58c0","target":"graph","created_at":"2026-05-18T03:18:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"This paper is concerned with the quasi-linear reflected backward stochastic partial differential equation (RBSPDE for short). Basing on the theory of backward stochastic partial differential equation and the parabolic capacity and potential, we first associate the RBSPDE to a variational problem, and via the penalization method, we prove the existence and uniqueness of the solution for linear RBSPDE with Lapalacian leading coefficients. With the continuity approach, we further obtain the well-posedness of general quasi-linear RBSPDEs. Related results, including It\\^o formulas for backward stoc","authors_text":"Jinniao Qiu, Wenning Wei","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-07-14T15:39:33Z","title":"On the Quasi-linear Reflected Backward Stochastic Partial Differential Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3749","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5262179e40e2d67b657ba4ad2ddbb075809fb08ceabdbc997ad8836e4871592c","target":"record","created_at":"2026-05-18T03:18:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"367ff043df800cdd19fea16db37ef21636d80bf34b09b816a315d5703a545fb1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-07-14T15:39:33Z","title_canon_sha256":"a98333566c95326a64e6e68833c0fc58b74814a0c661d736a4baef142d2ae968"},"schema_version":"1.0","source":{"id":"1307.3749","kind":"arxiv","version":1}},"canonical_sha256":"59a09c9cd8acc66b72b24755b1741ec946c791d956a29f6af6389e9d4ea94238","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59a09c9cd8acc66b72b24755b1741ec946c791d956a29f6af6389e9d4ea94238","first_computed_at":"2026-05-18T03:18:27.975435Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:27.975435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h2x+wCqSt7+DwYU3JGv+TnPSkKZoMy2ylnsAgy5FLHLK39Gm2Z/gK53F6+h+vw7gYDs32Lrqmr38KYai1BuLAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:27.975860Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.3749","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5262179e40e2d67b657ba4ad2ddbb075809fb08ceabdbc997ad8836e4871592c","sha256:fa6bf0b415bf67f3ec9289071b36dd4bfcb10388fece809331922699e6db58c0"],"state_sha256":"9cf880f9c5ad4dcc90d8a4d8d6b300fe387c4c46ba92d0a245eef6fcff98f917"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1OEtUWciC6flCvdbVN/whr0glLT9O0KOxrL7jy7pvvsA/IlUqHqkxOsK3ln7q9hChQ7c8OKFXVItUu+VpLZNBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T14:29:22.064995Z","bundle_sha256":"8f67502eb4339538a3d4b3efcf1ac992568c1b706bd6a026551246113326dc4a"}}