{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SPCVZVVVU7ZSVL3S3CL4QLLB33","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":"a764d4513b98bd41ceacf56335674a5a2133ac8561356be9c8ca0611686981b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-10-28T12:11:54Z","title_canon_sha256":"82e5de02828967a55f97b5867ca50440a2ac9207988a01a694d19b0cbf269bf8"},"schema_version":"1.0","source":{"id":"1010.5933","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.5933","created_at":"2026-05-18T00:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"1010.5933v3","created_at":"2026-05-18T00:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5933","created_at":"2026-05-18T00:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"SPCVZVVVU7ZS","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SPCVZVVVU7ZSVL3S","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SPCVZVVV","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:dd82c32badff064e9fee17139e986105fe8b8e3a5c8dacd687f3d34caf0a72d3","target":"graph","created_at":"2026-05-18T00:04:42Z","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 establish the existence of weak martingale solutions to a class of second order parabolic stochastic partial differential equations. The equations are driven by multiplicative jump type noise, with a non-Lipschitz multiplicative functional. The drift in the equations contains a dissipative nonlinearity of polynomial growth.","authors_text":"Erika Hausenblas, Paul Razafimandimby, Zdzis{\\l}aw Brze\\'zniak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-10-28T12:11:54Z","title":"Stochastic Reaction-diffusion Equations Driven by Jump Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5933","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":"sha256:0e8a4bf0ace3c0dc4073990be6b22ab975014ea223c0f8c7bbee0600685912f6","target":"record","created_at":"2026-05-18T00:04:42Z","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":"a764d4513b98bd41ceacf56335674a5a2133ac8561356be9c8ca0611686981b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-10-28T12:11:54Z","title_canon_sha256":"82e5de02828967a55f97b5867ca50440a2ac9207988a01a694d19b0cbf269bf8"},"schema_version":"1.0","source":{"id":"1010.5933","kind":"arxiv","version":3}},"canonical_sha256":"93c55cd6b5a7f32aaf72d897c82d61dee79d8db9133bc5658e91c0ef938bdd2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93c55cd6b5a7f32aaf72d897c82d61dee79d8db9133bc5658e91c0ef938bdd2a","first_computed_at":"2026-05-18T00:04:42.340280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:42.340280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4tWnx10kMRxRQo+9qfG/1hFpEYC9VIdtt4VP/j4HUhEdDNxjc3B8u4S7T696lWWDkZ0ypxHAE41P8SZyan+WCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:42.340900Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.5933","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e8a4bf0ace3c0dc4073990be6b22ab975014ea223c0f8c7bbee0600685912f6","sha256:dd82c32badff064e9fee17139e986105fe8b8e3a5c8dacd687f3d34caf0a72d3"],"state_sha256":"fe4484d76937ff6ec0dde7a4b283b43c305ade471c0d1352f7054a72609aa2c6"}