{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:MZJLUOST6WJH6VWUSJBS3SUIJT","short_pith_number":"pith:MZJLUOST","canonical_record":{"source":{"id":"1010.0335","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-10-02T13:22:39Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"78e58e86a17f4d995cad5ef6c781e770cb2aa8cd24cbd003b4aed160bceb2a75","abstract_canon_sha256":"80cef7d319373c2ead511fe06c16971ac3bd7652dcae264cc9b05f540daf19e8"},"schema_version":"1.0"},"canonical_sha256":"6652ba3a53f5927f56d492432dca884cd32712cb4ebdb960c1a3f7f93ecd54d1","source":{"kind":"arxiv","id":"1010.0335","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0335","created_at":"2026-05-18T04:39:58Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0335v1","created_at":"2026-05-18T04:39:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0335","created_at":"2026-05-18T04:39:58Z"},{"alias_kind":"pith_short_12","alias_value":"MZJLUOST6WJH","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MZJLUOST6WJH6VWU","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MZJLUOST","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:MZJLUOST6WJH6VWUSJBS3SUIJT","target":"record","payload":{"canonical_record":{"source":{"id":"1010.0335","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-10-02T13:22:39Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"78e58e86a17f4d995cad5ef6c781e770cb2aa8cd24cbd003b4aed160bceb2a75","abstract_canon_sha256":"80cef7d319373c2ead511fe06c16971ac3bd7652dcae264cc9b05f540daf19e8"},"schema_version":"1.0"},"canonical_sha256":"6652ba3a53f5927f56d492432dca884cd32712cb4ebdb960c1a3f7f93ecd54d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:58.597784Z","signature_b64":"wv0a9Z/Ocq5YxDb+wEiVNm//ryHPzLd1uGc+KP+gddR7YsGoVKvZlGCSbowIVQtTrxTScnigZfcPBu9mjVfdBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6652ba3a53f5927f56d492432dca884cd32712cb4ebdb960c1a3f7f93ecd54d1","last_reissued_at":"2026-05-18T04:39:58.597200Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:58.597200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.0335","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:39:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b5wzeFXkzUdsxqWMigyezPCF5mdUgGVqGP5qi4PJL+QpYOVngd78H6jQ/jbnXBfQFD+uhMI4Kv4kd7gooFYJAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:58:18.157156Z"},"content_sha256":"4b4aad2f53b556131181fda719ef21115d214da3ff844756c1570fb57f182037","schema_version":"1.0","event_id":"sha256:4b4aad2f53b556131181fda719ef21115d214da3ff844756c1570fb57f182037"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:MZJLUOST6WJH6VWUSJBS3SUIJT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Limit theorems for moving averages of discretized processes plus noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Jean Jacod, Mark Podolskij, Mathias Vetter","submitted_at":"2010-10-02T13:22:39Z","abstract_excerpt":"This paper presents some limit theorems for certain functionals of moving averages of semimartingales plus noise which are observed at high frequency. Our method generalizes the pre-averaging approach (see [Bernoulli 15 (2009) 634--658, Stochastic Process. Appl. 119 (2009) 2249--2276]) and provides consistent estimates for various characteristics of general semimartingales. Furthermore, we prove the associated multidimensional (stable) central limit theorems. As expected, we find central limit theorems with a convergence rate $n^{-1/4}$, if $n$ is the number of observations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0335","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:39:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qxhlTkHNoHLXAYWJ0KVEJjJJVUdaB4a3AYYGA+5MpI7FHBSK9OrPaNw/w/oJvZtQ7P7keCWbGODFhIbgHJrBCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:58:18.157532Z"},"content_sha256":"131079ab497d1fbfff394169db1ea37bf7f4012a1422aada43ea956a02b13cdf","schema_version":"1.0","event_id":"sha256:131079ab497d1fbfff394169db1ea37bf7f4012a1422aada43ea956a02b13cdf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MZJLUOST6WJH6VWUSJBS3SUIJT/bundle.json","state_url":"https://pith.science/pith/MZJLUOST6WJH6VWUSJBS3SUIJT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MZJLUOST6WJH6VWUSJBS3SUIJT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T00:58:18Z","links":{"resolver":"https://pith.science/pith/MZJLUOST6WJH6VWUSJBS3SUIJT","bundle":"https://pith.science/pith/MZJLUOST6WJH6VWUSJBS3SUIJT/bundle.json","state":"https://pith.science/pith/MZJLUOST6WJH6VWUSJBS3SUIJT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MZJLUOST6WJH6VWUSJBS3SUIJT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:MZJLUOST6WJH6VWUSJBS3SUIJT","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":"80cef7d319373c2ead511fe06c16971ac3bd7652dcae264cc9b05f540daf19e8","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-10-02T13:22:39Z","title_canon_sha256":"78e58e86a17f4d995cad5ef6c781e770cb2aa8cd24cbd003b4aed160bceb2a75"},"schema_version":"1.0","source":{"id":"1010.0335","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0335","created_at":"2026-05-18T04:39:58Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0335v1","created_at":"2026-05-18T04:39:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0335","created_at":"2026-05-18T04:39:58Z"},{"alias_kind":"pith_short_12","alias_value":"MZJLUOST6WJH","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MZJLUOST6WJH6VWU","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MZJLUOST","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:131079ab497d1fbfff394169db1ea37bf7f4012a1422aada43ea956a02b13cdf","target":"graph","created_at":"2026-05-18T04:39:58Z","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":"This paper presents some limit theorems for certain functionals of moving averages of semimartingales plus noise which are observed at high frequency. Our method generalizes the pre-averaging approach (see [Bernoulli 15 (2009) 634--658, Stochastic Process. Appl. 119 (2009) 2249--2276]) and provides consistent estimates for various characteristics of general semimartingales. Furthermore, we prove the associated multidimensional (stable) central limit theorems. As expected, we find central limit theorems with a convergence rate $n^{-1/4}$, if $n$ is the number of observations.","authors_text":"Jean Jacod, Mark Podolskij, Mathias Vetter","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-10-02T13:22:39Z","title":"Limit theorems for moving averages of discretized processes plus noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0335","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":"sha256:4b4aad2f53b556131181fda719ef21115d214da3ff844756c1570fb57f182037","target":"record","created_at":"2026-05-18T04:39:58Z","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":"80cef7d319373c2ead511fe06c16971ac3bd7652dcae264cc9b05f540daf19e8","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-10-02T13:22:39Z","title_canon_sha256":"78e58e86a17f4d995cad5ef6c781e770cb2aa8cd24cbd003b4aed160bceb2a75"},"schema_version":"1.0","source":{"id":"1010.0335","kind":"arxiv","version":1}},"canonical_sha256":"6652ba3a53f5927f56d492432dca884cd32712cb4ebdb960c1a3f7f93ecd54d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6652ba3a53f5927f56d492432dca884cd32712cb4ebdb960c1a3f7f93ecd54d1","first_computed_at":"2026-05-18T04:39:58.597200Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:58.597200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wv0a9Z/Ocq5YxDb+wEiVNm//ryHPzLd1uGc+KP+gddR7YsGoVKvZlGCSbowIVQtTrxTScnigZfcPBu9mjVfdBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:58.597784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.0335","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b4aad2f53b556131181fda719ef21115d214da3ff844756c1570fb57f182037","sha256:131079ab497d1fbfff394169db1ea37bf7f4012a1422aada43ea956a02b13cdf"],"state_sha256":"5a18d066085aef9a55c2f8eca3a13e00bf4760183b3ae494bf9cb00fd2e45c48"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1EeJAFrXis7JeH5PqG2pkzpfDlyTdA+6kMMckq76YOdDIJ3kGevJ2RQOrceOkkMT0jBumPoP1Qc9LjPJwocDDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T00:58:18.160663Z","bundle_sha256":"89cd3aa7a399c048d55fed68fde7c0d91d8077ec98219f41267041d602e7a7f6"}}