{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:SWFPYJIJUQPS7AM7S2A46SM3DY","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":"9871bc6aa54db300306f0ba2b388ab7791cff9b30f67fd3363af0001f1603b4c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-09-19T05:40:18Z","title_canon_sha256":"e99d45948ceed782070ddc373677cf0f1e6acadda359560015518d0053ceb439"},"schema_version":"1.0","source":{"id":"0909.3560","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.3560","created_at":"2026-05-18T04:41:05Z"},{"alias_kind":"arxiv_version","alias_value":"0909.3560v2","created_at":"2026-05-18T04:41:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.3560","created_at":"2026-05-18T04:41:05Z"},{"alias_kind":"pith_short_12","alias_value":"SWFPYJIJUQPS","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"SWFPYJIJUQPS7AM7","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"SWFPYJIJ","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:e408dd0342077e599fb0ab63b12382b3c22074ba3d8cba424b8f2c1e397d6ee8","target":"graph","created_at":"2026-05-18T04:41:05Z","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 consider a class of continuous-time stochastic growth models on $d$-dimensional lattice with non-negative real numbers as possible values per site. We remark that the diffusive scaling limit proven in our previous work [Nagahata, Y., Yoshida, N.: Central Limit Theorem for a Class of Linear Systems, Electron. J. Probab. Vol. 14, No. 34, 960--977. (2009)] can be extended to wider class of models so that it covers the cases of potlatch/smoothing processes.","authors_text":"Nobuo Yoshida, Yukio Nagahata","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-09-19T05:40:18Z","title":"A Note on the Diffusive Scaling Limit for a Class of Linear Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.3560","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":"sha256:8b2ecbfdc32c41b6b0623071cc5b437d68252aef27e94d62c2afca62f21498fd","target":"record","created_at":"2026-05-18T04:41:05Z","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":"9871bc6aa54db300306f0ba2b388ab7791cff9b30f67fd3363af0001f1603b4c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-09-19T05:40:18Z","title_canon_sha256":"e99d45948ceed782070ddc373677cf0f1e6acadda359560015518d0053ceb439"},"schema_version":"1.0","source":{"id":"0909.3560","kind":"arxiv","version":2}},"canonical_sha256":"958afc2509a41f2f819f9681cf499b1e29b0f4c89d258953d22a0eeea957a5e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"958afc2509a41f2f819f9681cf499b1e29b0f4c89d258953d22a0eeea957a5e0","first_computed_at":"2026-05-18T04:41:05.246459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:05.246459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eRNO/ZywMjTACFbyDsDYZ9ejCGnyTKWAxRuE1RYX5EkMMT0ARnwNfDZLSyl7+cqq9G2I1ubhJMR3EmQXsa7uAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:05.246859Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.3560","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b2ecbfdc32c41b6b0623071cc5b437d68252aef27e94d62c2afca62f21498fd","sha256:e408dd0342077e599fb0ab63b12382b3c22074ba3d8cba424b8f2c1e397d6ee8"],"state_sha256":"6672985f45c0bcaecb4acae1759bb69003c37b4500121959fb774416b5f2b359"}