{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YAEBIWNNHB7REYJODESC526D6Y","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":"7aa16d9949a4919440dcd41c0be41992cc0ce8ca10fa79d04c36720e4c8680eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-08-28T13:53:08Z","title_canon_sha256":"0f51a054e6147cdebaf198b2f615f39eba6ecbd10c54bfe84b7092b3abd8ac9c"},"schema_version":"1.0","source":{"id":"1508.07211","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07211","created_at":"2026-05-18T00:59:26Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07211v2","created_at":"2026-05-18T00:59:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07211","created_at":"2026-05-18T00:59:26Z"},{"alias_kind":"pith_short_12","alias_value":"YAEBIWNNHB7R","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YAEBIWNNHB7REYJO","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YAEBIWNN","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:4bed7dcc79311ba3b73e3e4ad01bccd15965963d364d0f4fbd3d35823ab7c289","target":"graph","created_at":"2026-05-18T00:59:26Z","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":"This paper is devoted to studying abstract stochastic semilinear evolution equations with additive noise in Hilbert spaces. First, we prove the existence of unique local mild solutions and show their regularity. Second, we show the regular dependence of the solutions on initial data. Finally, some applications to stochastic partial differential equations are presented.","authors_text":"Ton Viet Ta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-08-28T13:53:08Z","title":"Note on abstract stochastic semilinear evolution equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07211","kind":"arxiv","version":2},"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":"sha256:3e1058799549c00695b7565bf97f17171ce6abd26c931549da2bbdf851a84ad7","target":"record","created_at":"2026-05-18T00:59:26Z","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":"7aa16d9949a4919440dcd41c0be41992cc0ce8ca10fa79d04c36720e4c8680eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-08-28T13:53:08Z","title_canon_sha256":"0f51a054e6147cdebaf198b2f615f39eba6ecbd10c54bfe84b7092b3abd8ac9c"},"schema_version":"1.0","source":{"id":"1508.07211","kind":"arxiv","version":2}},"canonical_sha256":"c0081459ad387f12612e19242eebc3f61863833d88172312192ac4faf9f635f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0081459ad387f12612e19242eebc3f61863833d88172312192ac4faf9f635f0","first_computed_at":"2026-05-18T00:59:26.567783Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:26.567783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dGpkTzOq1yjz4gxVl2igyNiuCH1fWw+WNdyKH9EMrSCmwfKAgngXopHSa+DT5NWXC3SxScMX8Bz3bKb+wI/aAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:26.568425Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.07211","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e1058799549c00695b7565bf97f17171ce6abd26c931549da2bbdf851a84ad7","sha256:4bed7dcc79311ba3b73e3e4ad01bccd15965963d364d0f4fbd3d35823ab7c289"],"state_sha256":"7b90975a8df777b4be231416a20600a6528bb7f8f2b4e801ac27fd2974e811a1"}