{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:WU7CZSHRH6NZVCZW5UWZHP7633","short_pith_number":"pith:WU7CZSHR","canonical_record":{"source":{"id":"1412.6860","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-22T02:16:50Z","cross_cats_sorted":[],"title_canon_sha256":"91f1924f144f043357053e3720fb3605568b22f5d9398affb97d0ca9dabd58fa","abstract_canon_sha256":"4976b69ff71799a60c5b2252352019b8536d925d6f3cc20bf0b332f5f7105f96"},"schema_version":"1.0"},"canonical_sha256":"b53e2cc8f13f9b9a8b36ed2d93bffedec357d2caa1a41bae41fa39ce01728476","source":{"kind":"arxiv","id":"1412.6860","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6860","created_at":"2026-05-18T01:12:25Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6860v2","created_at":"2026-05-18T01:12:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6860","created_at":"2026-05-18T01:12:25Z"},{"alias_kind":"pith_short_12","alias_value":"WU7CZSHRH6NZ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WU7CZSHRH6NZVCZW","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WU7CZSHR","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:WU7CZSHRH6NZVCZW5UWZHP7633","target":"record","payload":{"canonical_record":{"source":{"id":"1412.6860","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-22T02:16:50Z","cross_cats_sorted":[],"title_canon_sha256":"91f1924f144f043357053e3720fb3605568b22f5d9398affb97d0ca9dabd58fa","abstract_canon_sha256":"4976b69ff71799a60c5b2252352019b8536d925d6f3cc20bf0b332f5f7105f96"},"schema_version":"1.0"},"canonical_sha256":"b53e2cc8f13f9b9a8b36ed2d93bffedec357d2caa1a41bae41fa39ce01728476","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:25.343856Z","signature_b64":"Y9SPCHSlL+6XrXXJjy0WcjlJrWaUSMl34RKmrBqeIlBWkBcqirl7Ru+GH9LCBinGZIcZU26V2Fs6ZK5vj6Y+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b53e2cc8f13f9b9a8b36ed2d93bffedec357d2caa1a41bae41fa39ce01728476","last_reissued_at":"2026-05-18T01:12:25.343514Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:25.343514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.6860","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DZozb6UVZHqLW/XpLObKwxA2yZn9tOKWIUtmWKTifOU3hNIdO9XAd8EE1wFkdpSPjKBbuytxPuSGrYb2/IA1Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:48:23.138714Z"},"content_sha256":"b44a51536ee7b52a16a2b3ef14887ab9b6ac754ac6e2d87a0346c8eb06f9e23a","schema_version":"1.0","event_id":"sha256:b44a51536ee7b52a16a2b3ef14887ab9b6ac754ac6e2d87a0346c8eb06f9e23a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:WU7CZSHRH6NZVCZW5UWZHP7633","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the rate of convergence to Rosenblatt-type distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Andriy Olenko, Nikolai Leonenko, Vo Anh","submitted_at":"2014-12-22T02:16:50Z","abstract_excerpt":"The main result of the article is the rate of convergence to the Rosenblatt-type distributions in non-central limit theorems. Specifications of the main theorem are discussed for several scenarios. In particular, special attention is paid to the Cauchy, generalized Linnik's, and local-global distinguisher random processes and fields. Direct analytical methods are used to investigate the rate of convergence in the uniform metric."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6860","kind":"arxiv","version":2},"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":"2026-05-18T01:12:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h/TW6eIJdq+eIsHC3if7W6pXv+DRqs2QjIsMN6LN5BFlX5UPrZg1j9o6RazcIgjVS2QGTx7PJu0OQM7Elqq3DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:48:23.139055Z"},"content_sha256":"f942503aaca27aaf923b37a6221c1a7ff5cd5299c1d50c6dca2458151c23ce33","schema_version":"1.0","event_id":"sha256:f942503aaca27aaf923b37a6221c1a7ff5cd5299c1d50c6dca2458151c23ce33"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WU7CZSHRH6NZVCZW5UWZHP7633/bundle.json","state_url":"https://pith.science/pith/WU7CZSHRH6NZVCZW5UWZHP7633/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WU7CZSHRH6NZVCZW5UWZHP7633/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":"2026-06-02T20:48:23Z","links":{"resolver":"https://pith.science/pith/WU7CZSHRH6NZVCZW5UWZHP7633","bundle":"https://pith.science/pith/WU7CZSHRH6NZVCZW5UWZHP7633/bundle.json","state":"https://pith.science/pith/WU7CZSHRH6NZVCZW5UWZHP7633/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WU7CZSHRH6NZVCZW5UWZHP7633/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WU7CZSHRH6NZVCZW5UWZHP7633","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":"4976b69ff71799a60c5b2252352019b8536d925d6f3cc20bf0b332f5f7105f96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-22T02:16:50Z","title_canon_sha256":"91f1924f144f043357053e3720fb3605568b22f5d9398affb97d0ca9dabd58fa"},"schema_version":"1.0","source":{"id":"1412.6860","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6860","created_at":"2026-05-18T01:12:25Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6860v2","created_at":"2026-05-18T01:12:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6860","created_at":"2026-05-18T01:12:25Z"},{"alias_kind":"pith_short_12","alias_value":"WU7CZSHRH6NZ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WU7CZSHRH6NZVCZW","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WU7CZSHR","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:f942503aaca27aaf923b37a6221c1a7ff5cd5299c1d50c6dca2458151c23ce33","target":"graph","created_at":"2026-05-18T01:12:25Z","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 main result of the article is the rate of convergence to the Rosenblatt-type distributions in non-central limit theorems. Specifications of the main theorem are discussed for several scenarios. In particular, special attention is paid to the Cauchy, generalized Linnik's, and local-global distinguisher random processes and fields. Direct analytical methods are used to investigate the rate of convergence in the uniform metric.","authors_text":"Andriy Olenko, Nikolai Leonenko, Vo Anh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-22T02:16:50Z","title":"On the rate of convergence to Rosenblatt-type distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6860","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:b44a51536ee7b52a16a2b3ef14887ab9b6ac754ac6e2d87a0346c8eb06f9e23a","target":"record","created_at":"2026-05-18T01:12:25Z","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":"4976b69ff71799a60c5b2252352019b8536d925d6f3cc20bf0b332f5f7105f96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-22T02:16:50Z","title_canon_sha256":"91f1924f144f043357053e3720fb3605568b22f5d9398affb97d0ca9dabd58fa"},"schema_version":"1.0","source":{"id":"1412.6860","kind":"arxiv","version":2}},"canonical_sha256":"b53e2cc8f13f9b9a8b36ed2d93bffedec357d2caa1a41bae41fa39ce01728476","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b53e2cc8f13f9b9a8b36ed2d93bffedec357d2caa1a41bae41fa39ce01728476","first_computed_at":"2026-05-18T01:12:25.343514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:25.343514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y9SPCHSlL+6XrXXJjy0WcjlJrWaUSMl34RKmrBqeIlBWkBcqirl7Ru+GH9LCBinGZIcZU26V2Fs6ZK5vj6Y+AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:25.343856Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.6860","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b44a51536ee7b52a16a2b3ef14887ab9b6ac754ac6e2d87a0346c8eb06f9e23a","sha256:f942503aaca27aaf923b37a6221c1a7ff5cd5299c1d50c6dca2458151c23ce33"],"state_sha256":"f695968639fdddd65e53b7bb7aa713c4f1073db03eedbff6ff06e60f99dcbf0b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rpvixEu3pMTJIdJbSRNw9SdP/OfkDswpbQ+b/OWz+2crSaZ07Z6xamFQZj0NA/4ecxf9NK2XjHNQF2mMLNd7Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T20:48:23.141026Z","bundle_sha256":"8682f0c2125a228324d2c4c69b3a742f6ca76da111943f6d2e15d43016eabb19"}}