{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QIQEQMRQG6U2TY3K4K4NR3MSER","short_pith_number":"pith:QIQEQMRQ","canonical_record":{"source":{"id":"1811.12187","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-11-29T14:27:20Z","cross_cats_sorted":[],"title_canon_sha256":"583930423ddb0c78f1b97e089174f107aa8ee91ee399bf587f35061d28dfff14","abstract_canon_sha256":"990cc41f87a5ad2c033b5812856e82ca02a2562985f5244db01fd9b2b783a271"},"schema_version":"1.0"},"canonical_sha256":"822048323037a9a9e36ae2b8d8ed92247b4fc83c101268efaf6b637e4907e7ea","source":{"kind":"arxiv","id":"1811.12187","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.12187","created_at":"2026-05-17T23:49:40Z"},{"alias_kind":"arxiv_version","alias_value":"1811.12187v1","created_at":"2026-05-17T23:49:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.12187","created_at":"2026-05-17T23:49:40Z"},{"alias_kind":"pith_short_12","alias_value":"QIQEQMRQG6U2","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QIQEQMRQG6U2TY3K","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QIQEQMRQ","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QIQEQMRQG6U2TY3K4K4NR3MSER","target":"record","payload":{"canonical_record":{"source":{"id":"1811.12187","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-11-29T14:27:20Z","cross_cats_sorted":[],"title_canon_sha256":"583930423ddb0c78f1b97e089174f107aa8ee91ee399bf587f35061d28dfff14","abstract_canon_sha256":"990cc41f87a5ad2c033b5812856e82ca02a2562985f5244db01fd9b2b783a271"},"schema_version":"1.0"},"canonical_sha256":"822048323037a9a9e36ae2b8d8ed92247b4fc83c101268efaf6b637e4907e7ea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:40.324610Z","signature_b64":"9naRFy4QMRA28oulAEQ/ZhiipjOoqffF1lwkATsSRfmEcFvW7vFR46huUpqdlTMfJB4vJ9IIg8fG0pTmy3f2DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"822048323037a9a9e36ae2b8d8ed92247b4fc83c101268efaf6b637e4907e7ea","last_reissued_at":"2026-05-17T23:49:40.324000Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:40.324000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.12187","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":"2026-05-17T23:49:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"svIS6R1aqVhe94YG062YnamRfDo91BHdkQsZ1Qt7Sr6AWSEkn6Y0+BXQN1MnykZAHqM3Xkr9MDV6njU+vB0bBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:55:25.465073Z"},"content_sha256":"9e1dd6fcc9ade8bd831d14423ec18233a8d0710eede4daf33fafd797a7b53e79","schema_version":"1.0","event_id":"sha256:9e1dd6fcc9ade8bd831d14423ec18233a8d0710eede4daf33fafd797a7b53e79"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QIQEQMRQG6U2TY3K4K4NR3MSER","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Theoretical foundation of detrending methods for fluctuation analysis such as detrended fluctuation analysis and detrending moving average","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Holger Kantz, Ken Kiyono, Marc H\\\"oll","submitted_at":"2018-11-29T14:27:20Z","abstract_excerpt":"We present a general framework of detrending methods of fluctuation analysis of which detrended fluctuation analysis (DFA) is one prominent example. Another more recently introduced method is detrending moving average (DMA). Both methods are constructed differently but are similarly able to detect long-range correlations as well as anomalous diffusion even in the presence of nonstationarities. In this article we describe their similarities in a general framework of detrending methods. We establish this framework independently of the definition of DFA or DMA but by investigating the failure of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.12187","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":"2026-05-17T23:49:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CeX2sQv+iC5jPJygcFyLdgX5fLlgpHjqbDXo4IsLZ909DhqSmJXjGuK2myqHAfztkQtjf9SGOBeX5ZwDliiHDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:55:25.465725Z"},"content_sha256":"0749b400198efb07e9ebd0fe8f7fbc9d7b92e80fbd909d66558c489a999a9f9c","schema_version":"1.0","event_id":"sha256:0749b400198efb07e9ebd0fe8f7fbc9d7b92e80fbd909d66558c489a999a9f9c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QIQEQMRQG6U2TY3K4K4NR3MSER/bundle.json","state_url":"https://pith.science/pith/QIQEQMRQG6U2TY3K4K4NR3MSER/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QIQEQMRQG6U2TY3K4K4NR3MSER/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":"2026-05-27T05:55:25Z","links":{"resolver":"https://pith.science/pith/QIQEQMRQG6U2TY3K4K4NR3MSER","bundle":"https://pith.science/pith/QIQEQMRQG6U2TY3K4K4NR3MSER/bundle.json","state":"https://pith.science/pith/QIQEQMRQG6U2TY3K4K4NR3MSER/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QIQEQMRQG6U2TY3K4K4NR3MSER/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QIQEQMRQG6U2TY3K4K4NR3MSER","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":"990cc41f87a5ad2c033b5812856e82ca02a2562985f5244db01fd9b2b783a271","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-11-29T14:27:20Z","title_canon_sha256":"583930423ddb0c78f1b97e089174f107aa8ee91ee399bf587f35061d28dfff14"},"schema_version":"1.0","source":{"id":"1811.12187","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.12187","created_at":"2026-05-17T23:49:40Z"},{"alias_kind":"arxiv_version","alias_value":"1811.12187v1","created_at":"2026-05-17T23:49:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.12187","created_at":"2026-05-17T23:49:40Z"},{"alias_kind":"pith_short_12","alias_value":"QIQEQMRQG6U2","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QIQEQMRQG6U2TY3K","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QIQEQMRQ","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:0749b400198efb07e9ebd0fe8f7fbc9d7b92e80fbd909d66558c489a999a9f9c","target":"graph","created_at":"2026-05-17T23:49:40Z","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 present a general framework of detrending methods of fluctuation analysis of which detrended fluctuation analysis (DFA) is one prominent example. Another more recently introduced method is detrending moving average (DMA). Both methods are constructed differently but are similarly able to detect long-range correlations as well as anomalous diffusion even in the presence of nonstationarities. In this article we describe their similarities in a general framework of detrending methods. We establish this framework independently of the definition of DFA or DMA but by investigating the failure of ","authors_text":"Holger Kantz, Ken Kiyono, Marc H\\\"oll","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-11-29T14:27:20Z","title":"Theoretical foundation of detrending methods for fluctuation analysis such as detrended fluctuation analysis and detrending moving average"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.12187","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":"sha256:9e1dd6fcc9ade8bd831d14423ec18233a8d0710eede4daf33fafd797a7b53e79","target":"record","created_at":"2026-05-17T23:49:40Z","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":"990cc41f87a5ad2c033b5812856e82ca02a2562985f5244db01fd9b2b783a271","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-11-29T14:27:20Z","title_canon_sha256":"583930423ddb0c78f1b97e089174f107aa8ee91ee399bf587f35061d28dfff14"},"schema_version":"1.0","source":{"id":"1811.12187","kind":"arxiv","version":1}},"canonical_sha256":"822048323037a9a9e36ae2b8d8ed92247b4fc83c101268efaf6b637e4907e7ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"822048323037a9a9e36ae2b8d8ed92247b4fc83c101268efaf6b637e4907e7ea","first_computed_at":"2026-05-17T23:49:40.324000Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:40.324000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9naRFy4QMRA28oulAEQ/ZhiipjOoqffF1lwkATsSRfmEcFvW7vFR46huUpqdlTMfJB4vJ9IIg8fG0pTmy3f2DQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:40.324610Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.12187","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e1dd6fcc9ade8bd831d14423ec18233a8d0710eede4daf33fafd797a7b53e79","sha256:0749b400198efb07e9ebd0fe8f7fbc9d7b92e80fbd909d66558c489a999a9f9c"],"state_sha256":"27e5218b92c822670a07b114a14d887e594cc46f44139b03f10e4f1f5bbd8dd6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rkdmMQYMgLZj4+r+AYRd7RB3mFojaU3wSN20NM8ZZvrU0pNH6Hr0RU3/HGRxzpDIKoZP6RUErS43yf8+8mWEBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T05:55:25.469092Z","bundle_sha256":"603f19643ebec9c235447002a3d97e5b0dd0cf3f0831a73a863bb71fc27f4ed2"}}