{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:7H6BO6KA6Z4VIV4QYN224UCXLI","short_pith_number":"pith:7H6BO6KA","canonical_record":{"source":{"id":"1602.05385","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.ST","submitted_at":"2016-02-17T12:08:49Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"15c9fa719bec65c2f07ffece18ef2ecd967a4ff5aee41269456bd0a4268fa674","abstract_canon_sha256":"c01c762fd4f5e4544c7a346444352c3b97c7941a64f0238deda812fa92659bb2"},"schema_version":"1.0"},"canonical_sha256":"f9fc177940f679545790c375ae50575a16e3e55031e3a218899284cd30cd52db","source":{"kind":"arxiv","id":"1602.05385","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.05385","created_at":"2026-05-18T00:02:13Z"},{"alias_kind":"arxiv_version","alias_value":"1602.05385v2","created_at":"2026-05-18T00:02:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.05385","created_at":"2026-05-18T00:02:13Z"},{"alias_kind":"pith_short_12","alias_value":"7H6BO6KA6Z4V","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7H6BO6KA6Z4VIV4Q","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7H6BO6KA","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:7H6BO6KA6Z4VIV4QYN224UCXLI","target":"record","payload":{"canonical_record":{"source":{"id":"1602.05385","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.ST","submitted_at":"2016-02-17T12:08:49Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"15c9fa719bec65c2f07ffece18ef2ecd967a4ff5aee41269456bd0a4268fa674","abstract_canon_sha256":"c01c762fd4f5e4544c7a346444352c3b97c7941a64f0238deda812fa92659bb2"},"schema_version":"1.0"},"canonical_sha256":"f9fc177940f679545790c375ae50575a16e3e55031e3a218899284cd30cd52db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:13.876643Z","signature_b64":"D+CbXANZSJAuX8wOoYDWF4FW4keb/k1/RSu8JURcZIBiKKo6e/Wg86DLTf0JPjEdcXQjoyKcqnnA+rPHjWUeBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9fc177940f679545790c375ae50575a16e3e55031e3a218899284cd30cd52db","last_reissued_at":"2026-05-18T00:02:13.875971Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:13.875971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.05385","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":"2026-05-18T00:02:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"99fBVC1rYdlLWYq0gcKy4LEeUHw9oLOLTR2+3hfv/HtNw3ChPuV2liOyXlvyZm1MSo1JdPfGisHvBaRk2y9EBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:17:16.091929Z"},"content_sha256":"8eec6d0f5a05ec2738f2fbb2178a363f4c6cef5320587fc137c01a594adc358a","schema_version":"1.0","event_id":"sha256:8eec6d0f5a05ec2738f2fbb2178a363f4c6cef5320587fc137c01a594adc358a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:7H6BO6KA6Z4VIV4QYN224UCXLI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Power-law cross-correlations estimation under heavy tails","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"q-fin.ST","authors_text":"Ladislav Kristoufek","submitted_at":"2016-02-17T12:08:49Z","abstract_excerpt":"We examine the performance of six estimators of the power-law cross-correlations -- the detrended cross-correlation analysis, the detrending moving-average cross-correlation analysis, the height cross-correlation analysis, the averaged periodogram estimator, the cross-periodogram estimator and the local cross-Whittle estimator -- under heavy-tailed distributions. The selection of estimators allows to separate these into the time and frequency domain estimators. By varying the characteristic exponent of the $\\alpha$-stable distributions which controls the tails behavior, we report several inter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.05385","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":"2026-05-18T00:02:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IlTox+OJ8QU4pbKEet6RY64ELEjCDmdMhzv4Z+V+owfuZu96gFqPdxLlgiC5khAvvj933m3m40VM4O09TTiHCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:17:16.092637Z"},"content_sha256":"141e62912e22281fab774c5b1e217ef5c8d64759b5c943bf537e8d9fba054741","schema_version":"1.0","event_id":"sha256:141e62912e22281fab774c5b1e217ef5c8d64759b5c943bf537e8d9fba054741"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7H6BO6KA6Z4VIV4QYN224UCXLI/bundle.json","state_url":"https://pith.science/pith/7H6BO6KA6Z4VIV4QYN224UCXLI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7H6BO6KA6Z4VIV4QYN224UCXLI/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":"2026-06-08T01:17:16Z","links":{"resolver":"https://pith.science/pith/7H6BO6KA6Z4VIV4QYN224UCXLI","bundle":"https://pith.science/pith/7H6BO6KA6Z4VIV4QYN224UCXLI/bundle.json","state":"https://pith.science/pith/7H6BO6KA6Z4VIV4QYN224UCXLI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7H6BO6KA6Z4VIV4QYN224UCXLI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7H6BO6KA6Z4VIV4QYN224UCXLI","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":"c01c762fd4f5e4544c7a346444352c3b97c7941a64f0238deda812fa92659bb2","cross_cats_sorted":["physics.data-an"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.ST","submitted_at":"2016-02-17T12:08:49Z","title_canon_sha256":"15c9fa719bec65c2f07ffece18ef2ecd967a4ff5aee41269456bd0a4268fa674"},"schema_version":"1.0","source":{"id":"1602.05385","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.05385","created_at":"2026-05-18T00:02:13Z"},{"alias_kind":"arxiv_version","alias_value":"1602.05385v2","created_at":"2026-05-18T00:02:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.05385","created_at":"2026-05-18T00:02:13Z"},{"alias_kind":"pith_short_12","alias_value":"7H6BO6KA6Z4V","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7H6BO6KA6Z4VIV4Q","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7H6BO6KA","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:141e62912e22281fab774c5b1e217ef5c8d64759b5c943bf537e8d9fba054741","target":"graph","created_at":"2026-05-18T00:02:13Z","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 examine the performance of six estimators of the power-law cross-correlations -- the detrended cross-correlation analysis, the detrending moving-average cross-correlation analysis, the height cross-correlation analysis, the averaged periodogram estimator, the cross-periodogram estimator and the local cross-Whittle estimator -- under heavy-tailed distributions. The selection of estimators allows to separate these into the time and frequency domain estimators. By varying the characteristic exponent of the $\\alpha$-stable distributions which controls the tails behavior, we report several inter","authors_text":"Ladislav Kristoufek","cross_cats":["physics.data-an"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.ST","submitted_at":"2016-02-17T12:08:49Z","title":"Power-law cross-correlations estimation under heavy tails"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.05385","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":"sha256:8eec6d0f5a05ec2738f2fbb2178a363f4c6cef5320587fc137c01a594adc358a","target":"record","created_at":"2026-05-18T00:02:13Z","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":"c01c762fd4f5e4544c7a346444352c3b97c7941a64f0238deda812fa92659bb2","cross_cats_sorted":["physics.data-an"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.ST","submitted_at":"2016-02-17T12:08:49Z","title_canon_sha256":"15c9fa719bec65c2f07ffece18ef2ecd967a4ff5aee41269456bd0a4268fa674"},"schema_version":"1.0","source":{"id":"1602.05385","kind":"arxiv","version":2}},"canonical_sha256":"f9fc177940f679545790c375ae50575a16e3e55031e3a218899284cd30cd52db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9fc177940f679545790c375ae50575a16e3e55031e3a218899284cd30cd52db","first_computed_at":"2026-05-18T00:02:13.875971Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:13.875971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D+CbXANZSJAuX8wOoYDWF4FW4keb/k1/RSu8JURcZIBiKKo6e/Wg86DLTf0JPjEdcXQjoyKcqnnA+rPHjWUeBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:13.876643Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.05385","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8eec6d0f5a05ec2738f2fbb2178a363f4c6cef5320587fc137c01a594adc358a","sha256:141e62912e22281fab774c5b1e217ef5c8d64759b5c943bf537e8d9fba054741"],"state_sha256":"d48feabc1427e4a15171953d51de0135a56b4e161e66fdfd87c0ada64ad093c3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xjyG/4fYCLIjmDi3uxbKMlYyhr4Xm0j5mWwVRRhQ7/mZ2hQs4iftbz/JwSR0+89TvZiuvNNWeZ6T3pDKLa7WCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T01:17:16.096015Z","bundle_sha256":"e03b29a409e40db5854471375bfc23f5cfddcb84e91a2727dcb3d6968cf91726"}}