{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:CM6AVZFCHNBIH6B7QEH4CEWSI4","short_pith_number":"pith:CM6AVZFC","canonical_record":{"source":{"id":"1307.4727","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2013-07-17T18:57:34Z","cross_cats_sorted":[],"title_canon_sha256":"d23458583528f97a273d217303a7ac9ab51d6b8556c21f1400febd7e6777371a","abstract_canon_sha256":"d85fd2df2176cf887e6010a503a2f7e7e0ae31ac9db9d4ece1d86ae000b80d97"},"schema_version":"1.0"},"canonical_sha256":"133c0ae4a23b4283f83f810fc112d24719825e849e2f66760703d81884457697","source":{"kind":"arxiv","id":"1307.4727","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4727","created_at":"2026-05-18T03:10:57Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4727v2","created_at":"2026-05-18T03:10:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4727","created_at":"2026-05-18T03:10:57Z"},{"alias_kind":"pith_short_12","alias_value":"CM6AVZFCHNBI","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CM6AVZFCHNBIH6B7","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CM6AVZFC","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:CM6AVZFCHNBIH6B7QEH4CEWSI4","target":"record","payload":{"canonical_record":{"source":{"id":"1307.4727","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2013-07-17T18:57:34Z","cross_cats_sorted":[],"title_canon_sha256":"d23458583528f97a273d217303a7ac9ab51d6b8556c21f1400febd7e6777371a","abstract_canon_sha256":"d85fd2df2176cf887e6010a503a2f7e7e0ae31ac9db9d4ece1d86ae000b80d97"},"schema_version":"1.0"},"canonical_sha256":"133c0ae4a23b4283f83f810fc112d24719825e849e2f66760703d81884457697","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:57.809186Z","signature_b64":"Ggu5obhLmyvxZugx+rMflICV5Iz1zXLFtK4z4Q0VLSGA/4iW0peJyhQ3KPJp8S1fnjolN4PHsLED3tjw4T1RDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"133c0ae4a23b4283f83f810fc112d24719825e849e2f66760703d81884457697","last_reissued_at":"2026-05-18T03:10:57.808374Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:57.808374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.4727","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":"2026-05-18T03:10:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kJ1IKrFIb26baSHnAEnvNejqpWw+JmGo3rXcqmWTTFL7KUZjwxFkds8FGomP+QYqD93yieiHUV3GKqIyqzj8BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:53:18.154381Z"},"content_sha256":"8e65c45b52cbf7e5c5c2f96fe425e79e3bffed36cdd4f678179c90136872399a","schema_version":"1.0","event_id":"sha256:8e65c45b52cbf7e5c5c2f96fe425e79e3bffed36cdd4f678179c90136872399a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:CM6AVZFCHNBIH6B7QEH4CEWSI4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Testing power-law cross-correlations: Rescaled covariance test","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.ST","authors_text":"Ladislav Kristoufek","submitted_at":"2013-07-17T18:57:34Z","abstract_excerpt":"We introduce a new test for detection of power-law cross-correlations among a pair of time series - the rescaled covariance test. The test is based on a power-law divergence of the covariance of the partial sums of the long-range cross-correlated processes. Utilizing a heteroskedasticity and auto-correlation robust estimator of the long-term covariance, we develop a test with desirable statistical properties which is well able to distinguish between short- and long-range cross-correlations. Such test should be used as a starting point in the analysis of long-range cross-correlations prior to a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4727","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":"2026-05-18T03:10:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PDOaw9aZVcfCPWBQxbJD2l6PMsCXEWfJ3RIJnqNvPr7V6K9oMjGuIaLMyjEHa4ZJ+qgWb1tOJMhhZlVN8ZdoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:53:18.155147Z"},"content_sha256":"152ffe33de7f4498cd9cc75dff89575dcebe0b62a158567eafff1accb805e4ce","schema_version":"1.0","event_id":"sha256:152ffe33de7f4498cd9cc75dff89575dcebe0b62a158567eafff1accb805e4ce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CM6AVZFCHNBIH6B7QEH4CEWSI4/bundle.json","state_url":"https://pith.science/pith/CM6AVZFCHNBIH6B7QEH4CEWSI4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CM6AVZFCHNBIH6B7QEH4CEWSI4/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":"2026-06-08T01:53:18Z","links":{"resolver":"https://pith.science/pith/CM6AVZFCHNBIH6B7QEH4CEWSI4","bundle":"https://pith.science/pith/CM6AVZFCHNBIH6B7QEH4CEWSI4/bundle.json","state":"https://pith.science/pith/CM6AVZFCHNBIH6B7QEH4CEWSI4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CM6AVZFCHNBIH6B7QEH4CEWSI4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CM6AVZFCHNBIH6B7QEH4CEWSI4","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":"d85fd2df2176cf887e6010a503a2f7e7e0ae31ac9db9d4ece1d86ae000b80d97","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2013-07-17T18:57:34Z","title_canon_sha256":"d23458583528f97a273d217303a7ac9ab51d6b8556c21f1400febd7e6777371a"},"schema_version":"1.0","source":{"id":"1307.4727","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4727","created_at":"2026-05-18T03:10:57Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4727v2","created_at":"2026-05-18T03:10:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4727","created_at":"2026-05-18T03:10:57Z"},{"alias_kind":"pith_short_12","alias_value":"CM6AVZFCHNBI","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CM6AVZFCHNBIH6B7","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CM6AVZFC","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:152ffe33de7f4498cd9cc75dff89575dcebe0b62a158567eafff1accb805e4ce","target":"graph","created_at":"2026-05-18T03:10:57Z","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 introduce a new test for detection of power-law cross-correlations among a pair of time series - the rescaled covariance test. The test is based on a power-law divergence of the covariance of the partial sums of the long-range cross-correlated processes. Utilizing a heteroskedasticity and auto-correlation robust estimator of the long-term covariance, we develop a test with desirable statistical properties which is well able to distinguish between short- and long-range cross-correlations. Such test should be used as a starting point in the analysis of long-range cross-correlations prior to a","authors_text":"Ladislav Kristoufek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2013-07-17T18:57:34Z","title":"Testing power-law cross-correlations: Rescaled covariance test"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4727","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":"sha256:8e65c45b52cbf7e5c5c2f96fe425e79e3bffed36cdd4f678179c90136872399a","target":"record","created_at":"2026-05-18T03:10:57Z","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":"d85fd2df2176cf887e6010a503a2f7e7e0ae31ac9db9d4ece1d86ae000b80d97","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2013-07-17T18:57:34Z","title_canon_sha256":"d23458583528f97a273d217303a7ac9ab51d6b8556c21f1400febd7e6777371a"},"schema_version":"1.0","source":{"id":"1307.4727","kind":"arxiv","version":2}},"canonical_sha256":"133c0ae4a23b4283f83f810fc112d24719825e849e2f66760703d81884457697","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"133c0ae4a23b4283f83f810fc112d24719825e849e2f66760703d81884457697","first_computed_at":"2026-05-18T03:10:57.808374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:57.808374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ggu5obhLmyvxZugx+rMflICV5Iz1zXLFtK4z4Q0VLSGA/4iW0peJyhQ3KPJp8S1fnjolN4PHsLED3tjw4T1RDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:57.809186Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.4727","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e65c45b52cbf7e5c5c2f96fe425e79e3bffed36cdd4f678179c90136872399a","sha256:152ffe33de7f4498cd9cc75dff89575dcebe0b62a158567eafff1accb805e4ce"],"state_sha256":"f864e69b785d9eb6966af1d822d66a8ea16bf8e445c5801911f89a3f864fa3d8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YS9UIEzX2m48svRJPbk5ENd9RlaH4YDt7kATNrNO38ESj6wBlBDMVvsl5AO82O1bKBN0MaFUHJLWx+mX74TtBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T01:53:18.158557Z","bundle_sha256":"2def4930aa4654dc81c50a85a67bd2d275302335abf03b46bfc2b3de77a8dadf"}}