{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VQJAA7R3OC3TLV2TSRNGOAPBSP","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":"6e29bebd0c1f913e90c808adef6b34b6bb696bb777ea1e118d8c01aa6f6a9125","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-06-16T07:44:33Z","title_canon_sha256":"b5b8d8e2a3df470e11068f7ee0e1e4efa55e522e63806d4cb0492655c276cc59"},"schema_version":"1.0","source":{"id":"1206.3637","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.3637","created_at":"2026-05-18T03:29:27Z"},{"alias_kind":"arxiv_version","alias_value":"1206.3637v3","created_at":"2026-05-18T03:29:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.3637","created_at":"2026-05-18T03:29:27Z"},{"alias_kind":"pith_short_12","alias_value":"VQJAA7R3OC3T","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VQJAA7R3OC3TLV2T","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VQJAA7R3","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:70e887d0687f0cc433f3c5ce984bffe0346d80b05570edaeab5cdbe4f4ba821c","target":"graph","created_at":"2026-05-18T03:29:27Z","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":"In this paper, we consider a stochastic differential equation driven by a fractional Brownian motion (fBm) and a Wiener process and having jumps. We prove that this equation has a unique solution and show that all its moments are finite.","authors_text":"Georgiy Shevchenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-06-16T07:44:33Z","title":"Mixed fractional stochastic differential equations with jumps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3637","kind":"arxiv","version":3},"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":"sha256:5977038a0d538fec5dc0b86c454d3ccb9051ca5d7675b4858db7fc8d086a1b60","target":"record","created_at":"2026-05-18T03:29:27Z","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":"6e29bebd0c1f913e90c808adef6b34b6bb696bb777ea1e118d8c01aa6f6a9125","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-06-16T07:44:33Z","title_canon_sha256":"b5b8d8e2a3df470e11068f7ee0e1e4efa55e522e63806d4cb0492655c276cc59"},"schema_version":"1.0","source":{"id":"1206.3637","kind":"arxiv","version":3}},"canonical_sha256":"ac12007e3b70b735d753945a6701e193f2b65aba09e3c93fdf99c516cd0001eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac12007e3b70b735d753945a6701e193f2b65aba09e3c93fdf99c516cd0001eb","first_computed_at":"2026-05-18T03:29:27.452828Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:27.452828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mlVLolrrTqhFGZ9Awqz4McTYNeS8EtnKcWrrFiuNHDZr+kOTjlBNfFxeZR9Y/aw/bBhv2PXNyIPbrgGSAUR4DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:27.453633Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.3637","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5977038a0d538fec5dc0b86c454d3ccb9051ca5d7675b4858db7fc8d086a1b60","sha256:70e887d0687f0cc433f3c5ce984bffe0346d80b05570edaeab5cdbe4f4ba821c"],"state_sha256":"2cb9f1916515d9a981a18e46f5516e0f51b21957df7b15fc0ae46167e4399c10"}