{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WFA7YHVF4QJ3NIED5R6E65HJFP","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":"908feedcc363d17e43788ce7684a77441951358c8a58ec1f3194a77991cd1d53","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-16T02:34:08Z","title_canon_sha256":"f68493180e3fd32f783b4576c013a3121f3946b4410d559fa16df72670e926a1"},"schema_version":"1.0","source":{"id":"1809.05796","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.05796","created_at":"2026-05-18T00:05:36Z"},{"alias_kind":"arxiv_version","alias_value":"1809.05796v1","created_at":"2026-05-18T00:05:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.05796","created_at":"2026-05-18T00:05:36Z"},{"alias_kind":"pith_short_12","alias_value":"WFA7YHVF4QJ3","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WFA7YHVF4QJ3NIED","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WFA7YHVF","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:846c9ed479a52e5979d995e8bd9a397eca4f342fafb4bde0b8849c9996b39c26","target":"graph","created_at":"2026-05-18T00:05:36Z","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":"Both Wick-Ito-Skorokhod and Stratonovich interpretations of the parabolic Anderson model (PAM) lead to solutions that are real analytic as functions of the noise intensity e, and, in the limit e->0, the difference between the two solutions is of order e^2 and is non-random.","authors_text":"Hyun-Jung Kim, Sergey V. Lototsky","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-16T02:34:08Z","title":"An Asymptotic Comparison of Two Time-homogeneous PAM Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.05796","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:c859e7f5bfd732e2e5b603a3e4ba1ac74c1841106b9788a05d223cc060ad231a","target":"record","created_at":"2026-05-18T00:05:36Z","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":"908feedcc363d17e43788ce7684a77441951358c8a58ec1f3194a77991cd1d53","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-16T02:34:08Z","title_canon_sha256":"f68493180e3fd32f783b4576c013a3121f3946b4410d559fa16df72670e926a1"},"schema_version":"1.0","source":{"id":"1809.05796","kind":"arxiv","version":1}},"canonical_sha256":"b141fc1ea5e413b6a083ec7c4f74e92bdd100db8c9229eca96e3f5ae151cf95c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b141fc1ea5e413b6a083ec7c4f74e92bdd100db8c9229eca96e3f5ae151cf95c","first_computed_at":"2026-05-18T00:05:36.481328Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:36.481328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pzKF9Wj+pS3QBw1xah2g8HltOshf1B/i/rTdWRuqsBbq2v89257glijJn1lMA3ZtIwtwFo/jUJY170E5GfIsDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:36.481714Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.05796","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c859e7f5bfd732e2e5b603a3e4ba1ac74c1841106b9788a05d223cc060ad231a","sha256:846c9ed479a52e5979d995e8bd9a397eca4f342fafb4bde0b8849c9996b39c26"],"state_sha256":"c283904d381013649d62a98c67faaa43a93af55328997f588fb004826d881533"}