{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:HYRCRRUHH7KWUV4FP7QD5HJNVD","short_pith_number":"pith:HYRCRRUH","canonical_record":{"source":{"id":"1411.2118","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-08T13:30:59Z","cross_cats_sorted":[],"title_canon_sha256":"23f29cff8740a71c4211cbb0d6f00ced9ecbd4550fe78c41e102f327e15719d4","abstract_canon_sha256":"c22958d71d8adc848b1ec1bb8a61dccb73a7b3008747a0358dce8dbd426d9c4a"},"schema_version":"1.0"},"canonical_sha256":"3e2228c6873fd56a57857fe03e9d2da8d38f6dd3cafda1d8ffd0e54e823b8fe4","source":{"kind":"arxiv","id":"1411.2118","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.2118","created_at":"2026-05-18T02:38:08Z"},{"alias_kind":"arxiv_version","alias_value":"1411.2118v1","created_at":"2026-05-18T02:38:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2118","created_at":"2026-05-18T02:38:08Z"},{"alias_kind":"pith_short_12","alias_value":"HYRCRRUHH7KW","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"HYRCRRUHH7KWUV4F","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"HYRCRRUH","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:HYRCRRUHH7KWUV4FP7QD5HJNVD","target":"record","payload":{"canonical_record":{"source":{"id":"1411.2118","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-08T13:30:59Z","cross_cats_sorted":[],"title_canon_sha256":"23f29cff8740a71c4211cbb0d6f00ced9ecbd4550fe78c41e102f327e15719d4","abstract_canon_sha256":"c22958d71d8adc848b1ec1bb8a61dccb73a7b3008747a0358dce8dbd426d9c4a"},"schema_version":"1.0"},"canonical_sha256":"3e2228c6873fd56a57857fe03e9d2da8d38f6dd3cafda1d8ffd0e54e823b8fe4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:08.599592Z","signature_b64":"KAZW6AOJ8xzU+/oaUvZl9BCCoqd/6ZyiEn3waFfHvN3FtJW3kLJIPSPpH1vzQG0ZagVukPnPfz81fMW3TbBqCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e2228c6873fd56a57857fe03e9d2da8d38f6dd3cafda1d8ffd0e54e823b8fe4","last_reissued_at":"2026-05-18T02:38:08.599079Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:08.599079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.2118","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":"2026-05-18T02:38:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VDYCayoslF0pp3VN/+wE9YlMS1C8pOmF5SFZJFScPpwRauvVfvmg0iOglILdx6qgT/mBR8mB9SqwUj9f8DFRCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:43:54.403868Z"},"content_sha256":"dee420940776b5336fd0c8c340de87581e1b0b6afdea1c416b8bf24cb4428116","schema_version":"1.0","event_id":"sha256:dee420940776b5336fd0c8c340de87581e1b0b6afdea1c416b8bf24cb4428116"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:HYRCRRUHH7KWUV4FP7QD5HJNVD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On reflected Stratonovich stochastic differential equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Leszek Slominski","submitted_at":"2014-11-08T13:30:59Z","abstract_excerpt":"We study the problem of existence, uniqueness and approximation of solutions of finite dimensional Stratonovich stochastic differential equations with reflecting boundary condition driven by semimartingales with jumps. As an application we generalize known results on the Wong-Zakai type approximations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2118","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":"2026-05-18T02:38:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cC3HvrQHI2WxQ2X9KauqmLT5BbIFVt6zByDRLzDNxwuRePvrcEtlzgndf8gLDygNBmNiV/BQx7KQrhjDHKGeDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:43:54.404205Z"},"content_sha256":"6fa3c853269f13095cae2f4c19950979a9ab84ba453e160eb9327f7c8fb32fc1","schema_version":"1.0","event_id":"sha256:6fa3c853269f13095cae2f4c19950979a9ab84ba453e160eb9327f7c8fb32fc1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HYRCRRUHH7KWUV4FP7QD5HJNVD/bundle.json","state_url":"https://pith.science/pith/HYRCRRUHH7KWUV4FP7QD5HJNVD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HYRCRRUHH7KWUV4FP7QD5HJNVD/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":"2026-06-05T14:43:54Z","links":{"resolver":"https://pith.science/pith/HYRCRRUHH7KWUV4FP7QD5HJNVD","bundle":"https://pith.science/pith/HYRCRRUHH7KWUV4FP7QD5HJNVD/bundle.json","state":"https://pith.science/pith/HYRCRRUHH7KWUV4FP7QD5HJNVD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HYRCRRUHH7KWUV4FP7QD5HJNVD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HYRCRRUHH7KWUV4FP7QD5HJNVD","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":"c22958d71d8adc848b1ec1bb8a61dccb73a7b3008747a0358dce8dbd426d9c4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-08T13:30:59Z","title_canon_sha256":"23f29cff8740a71c4211cbb0d6f00ced9ecbd4550fe78c41e102f327e15719d4"},"schema_version":"1.0","source":{"id":"1411.2118","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.2118","created_at":"2026-05-18T02:38:08Z"},{"alias_kind":"arxiv_version","alias_value":"1411.2118v1","created_at":"2026-05-18T02:38:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2118","created_at":"2026-05-18T02:38:08Z"},{"alias_kind":"pith_short_12","alias_value":"HYRCRRUHH7KW","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"HYRCRRUHH7KWUV4F","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"HYRCRRUH","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:6fa3c853269f13095cae2f4c19950979a9ab84ba453e160eb9327f7c8fb32fc1","target":"graph","created_at":"2026-05-18T02:38:08Z","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 existence, uniqueness and approximation of solutions of finite dimensional Stratonovich stochastic differential equations with reflecting boundary condition driven by semimartingales with jumps. As an application we generalize known results on the Wong-Zakai type approximations.","authors_text":"Leszek Slominski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-08T13:30:59Z","title":"On reflected Stratonovich stochastic differential equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2118","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:dee420940776b5336fd0c8c340de87581e1b0b6afdea1c416b8bf24cb4428116","target":"record","created_at":"2026-05-18T02:38:08Z","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":"c22958d71d8adc848b1ec1bb8a61dccb73a7b3008747a0358dce8dbd426d9c4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-08T13:30:59Z","title_canon_sha256":"23f29cff8740a71c4211cbb0d6f00ced9ecbd4550fe78c41e102f327e15719d4"},"schema_version":"1.0","source":{"id":"1411.2118","kind":"arxiv","version":1}},"canonical_sha256":"3e2228c6873fd56a57857fe03e9d2da8d38f6dd3cafda1d8ffd0e54e823b8fe4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e2228c6873fd56a57857fe03e9d2da8d38f6dd3cafda1d8ffd0e54e823b8fe4","first_computed_at":"2026-05-18T02:38:08.599079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:08.599079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KAZW6AOJ8xzU+/oaUvZl9BCCoqd/6ZyiEn3waFfHvN3FtJW3kLJIPSPpH1vzQG0ZagVukPnPfz81fMW3TbBqCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:08.599592Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.2118","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dee420940776b5336fd0c8c340de87581e1b0b6afdea1c416b8bf24cb4428116","sha256:6fa3c853269f13095cae2f4c19950979a9ab84ba453e160eb9327f7c8fb32fc1"],"state_sha256":"1ea6701b989d1aae92ab796d26853192b2e5e0ddcd8b0f3d4441b412c935abbc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"myiVOSDlVEcK6KU4eUVuHwcbega2JGHGzS6OILZYpbOgQMWGu6L2lZmEcowhABoVMyrBJanrqcT+hMwRETnYDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T14:43:54.406185Z","bundle_sha256":"3ee4d8f089828a033052850eff569f27a145d125a6e60bc44eeea972addcf7b9"}}