{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:Z3N7OKEXS5BV5OWW3SJIX6NZBK","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":"8f44a6975f26661346c08411a66d524eb3fc1a910ea09629d4e002c8f827754c","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-06-19T12:24:37Z","title_canon_sha256":"cc43113965e9663b8b11ec5980fa24e510f742b618fabd2b6c5d9e855fe33067"},"schema_version":"1.0","source":{"id":"1906.08062","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.08062","created_at":"2026-05-17T23:42:54Z"},{"alias_kind":"arxiv_version","alias_value":"1906.08062v1","created_at":"2026-05-17T23:42:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.08062","created_at":"2026-05-17T23:42:54Z"},{"alias_kind":"pith_short_12","alias_value":"Z3N7OKEXS5BV","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"Z3N7OKEXS5BV5OWW","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"Z3N7OKEX","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:cb1abf04da29666036f9c755bdbf7957d0c7822b96e123eaf4686b6bf30b6460","target":"graph","created_at":"2026-05-17T23:42:54Z","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":"The Blumenthal-Getoor (BG) index characterizes the jump measure of an infinitely active L\\'evy process. It determines sample path properties and affects the behavior of various econometric procedures. If the process contains a diffusion term, existing estimators of the BG index based on high-frequency observations only achieve rates of convergence which are suboptimal by a polynomial factor. In this paper, a novel estimator for the BG index and the successive BG indices is presented, attaining the optimal rate of convergence. If an additional proportionality factor needs to be inferred, the pr","authors_text":"Fabian Mies","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-06-19T12:24:37Z","title":"Rate-optimal estimation of the Blumenthal-Getoor index of a L\\'evy process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.08062","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:aaecf021c479d63fe5e8ac758553560ec8e4f4c4dac3d6b76e662c76594615ae","target":"record","created_at":"2026-05-17T23:42:54Z","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":"8f44a6975f26661346c08411a66d524eb3fc1a910ea09629d4e002c8f827754c","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-06-19T12:24:37Z","title_canon_sha256":"cc43113965e9663b8b11ec5980fa24e510f742b618fabd2b6c5d9e855fe33067"},"schema_version":"1.0","source":{"id":"1906.08062","kind":"arxiv","version":1}},"canonical_sha256":"cedbf7289797435ebad6dc928bf9b90a92b59a218db07dd10163f2b165c15ffc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cedbf7289797435ebad6dc928bf9b90a92b59a218db07dd10163f2b165c15ffc","first_computed_at":"2026-05-17T23:42:54.694088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:54.694088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HHOAmMAGiqUBT0kR64ilPQEAiMPI/yfaT2rNkVOh2g41Dw23SZzYr+N3bqEt6ttZ0Ilkja9uS4fVR6JfWVTOAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:54.694676Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.08062","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aaecf021c479d63fe5e8ac758553560ec8e4f4c4dac3d6b76e662c76594615ae","sha256:cb1abf04da29666036f9c755bdbf7957d0c7822b96e123eaf4686b6bf30b6460"],"state_sha256":"5714b59c0e4336a64cbc7d8f9f83c32d8c613c0c22fd28401b4fea2cdc74bd67"}