{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:MREOJIF4RLTDZMMXW77QQHE6T3","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":"59daf32764f686fd37e9f01e8213b04626304e9749f65de87a4c9d8dcd2eab57","cross_cats_sorted":[],"license":"","primary_cat":"math.PR","submitted_at":"2006-11-03T10:59:32Z","title_canon_sha256":"406b584f103f96630359e7d15914921c4f0bb95b7c09891b4ae314049a3caf44"},"schema_version":"1.0","source":{"id":"math/0611069","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0611069","created_at":"2026-05-18T01:08:49Z"},{"alias_kind":"arxiv_version","alias_value":"math/0611069v1","created_at":"2026-05-18T01:08:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0611069","created_at":"2026-05-18T01:08:49Z"},{"alias_kind":"pith_short_12","alias_value":"MREOJIF4RLTD","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"MREOJIF4RLTDZMMX","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"MREOJIF4","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:48e5ea7fa044f25f6a6ca5dab495e2c58324fee1203eece415cd4b5341fe8195","target":"graph","created_at":"2026-05-18T01:08:49Z","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":"Stochastic evolutional equations with monotone operators are considered in Banach spaces. Explicit and implicit numerical schemes are presented. The convergence of the approximations to the solution of the equations is proved.","authors_text":"Annie Millet (PMA, Istvan Gy\\\"ongy, MATISSE, Samos)","cross_cats":[],"headline":"","license":"","primary_cat":"math.PR","submitted_at":"2006-11-03T10:59:32Z","title":"On discretization schemes for stochastic evolution equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0611069","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":"sha256:35c58caf02fb986aa37d2e9580bf940591b514ff67814f604cf7cfccf6548a2b","target":"record","created_at":"2026-05-18T01:08:49Z","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":"59daf32764f686fd37e9f01e8213b04626304e9749f65de87a4c9d8dcd2eab57","cross_cats_sorted":[],"license":"","primary_cat":"math.PR","submitted_at":"2006-11-03T10:59:32Z","title_canon_sha256":"406b584f103f96630359e7d15914921c4f0bb95b7c09891b4ae314049a3caf44"},"schema_version":"1.0","source":{"id":"math/0611069","kind":"arxiv","version":1}},"canonical_sha256":"6448e4a0bc8ae63cb197b7ff081c9e9ee4fcb38e0a390402edf3a98eac3d5a8f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6448e4a0bc8ae63cb197b7ff081c9e9ee4fcb38e0a390402edf3a98eac3d5a8f","first_computed_at":"2026-05-18T01:08:49.555626Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:49.555626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VrdxJaD9qAkenlIaY4fanLkRwNchPukKhpR4hGuC8aEMXJShVFbA8t9h281nqNJQfuYQnxclWJTP/kGcVuUBDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:49.556220Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0611069","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35c58caf02fb986aa37d2e9580bf940591b514ff67814f604cf7cfccf6548a2b","sha256:48e5ea7fa044f25f6a6ca5dab495e2c58324fee1203eece415cd4b5341fe8195"],"state_sha256":"5ae4eb951168e2b73069943519a6521b80d90fff28beb75c3dad196d2a2ada61"}