{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SE3HLZG4VARPUBFAQOEPJKLMYJ","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":"e78073f000856b4cce2a68e74e9c1ccf8e439b45129f7836cb8641bb6eeca47a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-04T10:19:54Z","title_canon_sha256":"e30f172c8beb6bef4d435a266668d34404ac0b148621e93c39da27ec7e54e2b5"},"schema_version":"1.0","source":{"id":"1412.1607","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.1607","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"arxiv_version","alias_value":"1412.1607v1","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.1607","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"pith_short_12","alias_value":"SE3HLZG4VARP","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SE3HLZG4VARPUBFA","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SE3HLZG4","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:c4d4dd2a67f39bdcf1e6d624548c237606d2e6cdd31e246c2d00d91df8306d04","target":"graph","created_at":"2026-05-18T02:32:06Z","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 sequence of Markov chains weakly convergent to a diffusion. We suppose that a drift term contains a linearly increasing component. The usual parametrix method fails because of this unbounded drift term. We show how to modify the parametrix method to obtain local limit theorems for this case.","authors_text":"A. Markova, V. Konakov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-04T10:19:54Z","title":"Local limit theorems for Markov chains with trend component of linear growth"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.1607","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":"sha256:656d50d9770dd208902e9d58f41fa1891be4984bbd5cd4e6e118e635bc3eb35b","target":"record","created_at":"2026-05-18T02:32:06Z","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":"e78073f000856b4cce2a68e74e9c1ccf8e439b45129f7836cb8641bb6eeca47a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-04T10:19:54Z","title_canon_sha256":"e30f172c8beb6bef4d435a266668d34404ac0b148621e93c39da27ec7e54e2b5"},"schema_version":"1.0","source":{"id":"1412.1607","kind":"arxiv","version":1}},"canonical_sha256":"913675e4dca822fa04a08388f4a96cc266b014fe7c4b3e55f6e7a0eb09bbeaa3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"913675e4dca822fa04a08388f4a96cc266b014fe7c4b3e55f6e7a0eb09bbeaa3","first_computed_at":"2026-05-18T02:32:06.874507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:06.874507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ptqpm+cFHiD7U6vUbU0oUepSBmL435kP0Jo1QOrISDO6qozHUuGtPh14yFGMLQ9VjaLfo44EUJ7tkX0EszJLBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:06.874859Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.1607","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:656d50d9770dd208902e9d58f41fa1891be4984bbd5cd4e6e118e635bc3eb35b","sha256:c4d4dd2a67f39bdcf1e6d624548c237606d2e6cdd31e246c2d00d91df8306d04"],"state_sha256":"eb56bd598fde0b0909cdbb7a8569b5bd74ce5932669e310e9fb91e2e6b377f8e"}