{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:SPCVZVVVU7ZSVL3S3CL4QLLB33","short_pith_number":"pith:SPCVZVVV","canonical_record":{"source":{"id":"1010.5933","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-10-28T12:11:54Z","cross_cats_sorted":[],"title_canon_sha256":"82e5de02828967a55f97b5867ca50440a2ac9207988a01a694d19b0cbf269bf8","abstract_canon_sha256":"a764d4513b98bd41ceacf56335674a5a2133ac8561356be9c8ca0611686981b2"},"schema_version":"1.0"},"canonical_sha256":"93c55cd6b5a7f32aaf72d897c82d61dee79d8db9133bc5658e91c0ef938bdd2a","source":{"kind":"arxiv","id":"1010.5933","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:SPCVZVVVU7ZSVL3S3CL4QLLB33","target":"record","payload":{"canonical_record":{"source":{"id":"1010.5933","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-10-28T12:11:54Z","cross_cats_sorted":[],"title_canon_sha256":"82e5de02828967a55f97b5867ca50440a2ac9207988a01a694d19b0cbf269bf8","abstract_canon_sha256":"a764d4513b98bd41ceacf56335674a5a2133ac8561356be9c8ca0611686981b2"},"schema_version":"1.0"},"canonical_sha256":"93c55cd6b5a7f32aaf72d897c82d61dee79d8db9133bc5658e91c0ef938bdd2a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:42.340900Z","signature_b64":"4tWnx10kMRxRQo+9qfG/1hFpEYC9VIdtt4VP/j4HUhEdDNxjc3B8u4S7T696lWWDkZ0ypxHAE41P8SZyan+WCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93c55cd6b5a7f32aaf72d897c82d61dee79d8db9133bc5658e91c0ef938bdd2a","last_reissued_at":"2026-05-18T00:04:42.340280Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:42.340280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.5933","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9OWnmCx4FQyZ/aTXsfxoWdL/mme6OeVyZBotOqUcoZIls32RLDMQFuMtoMjpdrXoXWQDe2qaUW9ouIoqs+IiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T08:45:59.959659Z"},"content_sha256":"0e8a4bf0ace3c0dc4073990be6b22ab975014ea223c0f8c7bbee0600685912f6","schema_version":"1.0","event_id":"sha256:0e8a4bf0ace3c0dc4073990be6b22ab975014ea223c0f8c7bbee0600685912f6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:SPCVZVVVU7ZSVL3S3CL4QLLB33","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic Reaction-diffusion Equations Driven by Jump Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Erika Hausenblas, Paul Razafimandimby, Zdzis{\\l}aw Brze\\'zniak","submitted_at":"2010-10-28T12:11:54Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5933","kind":"arxiv","version":3},"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":"2026-05-18T00:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vLHKil/lVVM3jInPRUO2t56qO8FTHat5NLS/i5Zks3Yt7W+W5QS60uEfeP3kL0oWOKAmjSzl8Yq3fEmObQPMCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T08:45:59.960003Z"},"content_sha256":"dd82c32badff064e9fee17139e986105fe8b8e3a5c8dacd687f3d34caf0a72d3","schema_version":"1.0","event_id":"sha256:dd82c32badff064e9fee17139e986105fe8b8e3a5c8dacd687f3d34caf0a72d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SPCVZVVVU7ZSVL3S3CL4QLLB33/bundle.json","state_url":"https://pith.science/pith/SPCVZVVVU7ZSVL3S3CL4QLLB33/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SPCVZVVVU7ZSVL3S3CL4QLLB33/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":"2026-06-12T08:45:59Z","links":{"resolver":"https://pith.science/pith/SPCVZVVVU7ZSVL3S3CL4QLLB33","bundle":"https://pith.science/pith/SPCVZVVVU7ZSVL3S3CL4QLLB33/bundle.json","state":"https://pith.science/pith/SPCVZVVVU7ZSVL3S3CL4QLLB33/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SPCVZVVVU7ZSVL3S3CL4QLLB33/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xis2b3XoLe32R0ACslb6zVDY/UbbVMXy4tYaMRjYj2+7nl4+ry3/OKO+bIlsxyqUYP1nBYP62KLP4HFrvLxADQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T08:45:59.962382Z","bundle_sha256":"5d0ad5dd9ad716332a20dc6bb00da5a9bb3ac19d53222ebc40537f9e4c785710"}}