{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WQKUFLMAUVNO23OZOV22OLFEWM","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":"85ba51579081e24a0622026124a9b911813f925cbc64149528ea36f1aff3aec1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-06T07:56:27Z","title_canon_sha256":"9bde77b66715ca3bde096e8cc99f88d8d41c57ac36bef0ccd37ca24e30aefcd4"},"schema_version":"1.0","source":{"id":"1411.1516","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.1516","created_at":"2026-05-18T01:35:20Z"},{"alias_kind":"arxiv_version","alias_value":"1411.1516v2","created_at":"2026-05-18T01:35:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.1516","created_at":"2026-05-18T01:35:20Z"},{"alias_kind":"pith_short_12","alias_value":"WQKUFLMAUVNO","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WQKUFLMAUVNO23OZ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WQKUFLMA","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:f593db9bbe43dd106b5a8a6450d2524635f45744ea309d8afb02a655fdeb5975","target":"graph","created_at":"2026-05-18T01:35:20Z","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":"Suppose we have a high-frequency sample from the L\\'{e}vy process of the form $X_t^\\theta=\\beta t+\\gamma Z_t+U_t$, where $Z$ is a possibly asymmetric locally $\\alpha$-stable L\\'{e}vy process, and $U$ is a nuisance L\\'{e}vy process less active than $Z$. We prove the LAN property about the explicit parameter $\\theta=(\\beta,\\gamma)$ under very mild conditions without specific form of the L\\'{e}vy measure of $Z$, thereby generalizing the LAN result of A\\\"{\\i}t-Sahalia and Jacod (2007). In particular, it is clarified that a non-diagonal norming may be necessary in the truly asymmetric case. Due to ","authors_text":"Alexey M. Kulik, Dmytro Ivanenko, Hiroki Masuda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-06T07:56:27Z","title":"Uniform LAN property of locally stable L\\'{e}vy process observed at high frequency"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.1516","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:d107e5a2ce01a77687a10c34e8ab4af5d03feeb275d91ff27aef6dd4182895f2","target":"record","created_at":"2026-05-18T01:35:20Z","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":"85ba51579081e24a0622026124a9b911813f925cbc64149528ea36f1aff3aec1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-06T07:56:27Z","title_canon_sha256":"9bde77b66715ca3bde096e8cc99f88d8d41c57ac36bef0ccd37ca24e30aefcd4"},"schema_version":"1.0","source":{"id":"1411.1516","kind":"arxiv","version":2}},"canonical_sha256":"b41542ad80a55aed6dd97575a72ca4b30e17536b6ce43c007dfcdb39513dc11c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b41542ad80a55aed6dd97575a72ca4b30e17536b6ce43c007dfcdb39513dc11c","first_computed_at":"2026-05-18T01:35:20.591085Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:20.591085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cwDclNV7raS4JrA4QMz6kfvlsfqL3vBN/tP3sUwkwumCTTJsxL503isueAhEdyXeITqXPfL09BFfc6XJ6RLlAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:20.591795Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.1516","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d107e5a2ce01a77687a10c34e8ab4af5d03feeb275d91ff27aef6dd4182895f2","sha256:f593db9bbe43dd106b5a8a6450d2524635f45744ea309d8afb02a655fdeb5975"],"state_sha256":"7f623219282f814f7b265f24323d44142ef69548783a9f469dcd47760dd9fe79"}