{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6T7X5TCSWDPRKGNDZAFHXLDZK7","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":"d87aede6c22e6f531edf6994d1c9f386cca65975cd00126e38dbd522a9521438","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-12-10T13:43:22Z","title_canon_sha256":"55b071d81f8f01f4d350519c407976c83000db0678ff67eec51ee2995d195ca2"},"schema_version":"1.0","source":{"id":"1312.2794","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2794","created_at":"2026-05-18T03:05:08Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2794v1","created_at":"2026-05-18T03:05:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2794","created_at":"2026-05-18T03:05:08Z"},{"alias_kind":"pith_short_12","alias_value":"6T7X5TCSWDPR","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6T7X5TCSWDPRKGND","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6T7X5TCS","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:53d271ef62efca4e4f7463c9bfa48dd6611bf8981d45438fa157dd75d74d5b10","target":"graph","created_at":"2026-05-18T03:05:08Z","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":"We study the problem of approximation of solutions of the Skorokhod problem and reflecting stochastic differential equations (SDEs) with jumps by sequences of solutions of equations with penalization terms. Applications to discrete approximation of weak and strong solutions of reflecting SDEs are given. Our proofs are based on new estimates for solutions of equations with penalization terms and the theory of convergence in the Jakubowski $S$-topology.","authors_text":"Leszek S{\\l}omi\\'nski, Weronika {\\L}aukajtys","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-12-10T13:43:22Z","title":"Penalization methods for the Skorokhod problem and reflecting SDEs with jumps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2794","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":"sha256:4800014a708b8fa1f99632cbb9750dd9f7a668346bb43cf35232ac780486c5f4","target":"record","created_at":"2026-05-18T03:05:08Z","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":"d87aede6c22e6f531edf6994d1c9f386cca65975cd00126e38dbd522a9521438","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-12-10T13:43:22Z","title_canon_sha256":"55b071d81f8f01f4d350519c407976c83000db0678ff67eec51ee2995d195ca2"},"schema_version":"1.0","source":{"id":"1312.2794","kind":"arxiv","version":1}},"canonical_sha256":"f4ff7ecc52b0df1519a3c80a7bac7957cae913dbc9130b77113ea07d32b7832f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4ff7ecc52b0df1519a3c80a7bac7957cae913dbc9130b77113ea07d32b7832f","first_computed_at":"2026-05-18T03:05:08.800508Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:08.800508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gKsl2HF11CkmRMfMFiYsR8wdrsNohNA38xulOnlzf19er1h3TnulOn52+sZWUm7DoeU6bKMvRN7YXzTtTCH0DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:08.801041Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.2794","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4800014a708b8fa1f99632cbb9750dd9f7a668346bb43cf35232ac780486c5f4","sha256:53d271ef62efca4e4f7463c9bfa48dd6611bf8981d45438fa157dd75d74d5b10"],"state_sha256":"61d92d44f242f829fdad581163c8fb431a85f409d94c284e0faaaa472e507d76"}