{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TBGGUU267APUV3OT3LOLK2B4EG","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":"c469b7d44df5527dc070d481be60c6b4fa24d243f0d3803f1d05bf449715deb7","cross_cats_sorted":["physics.soc-ph","q-fin.ST"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2015-04-28T02:42:19Z","title_canon_sha256":"d08527b53bd613bce6a2bea92ed188d64c8b5c1166bf0dd4a750065166513565"},"schema_version":"1.0","source":{"id":"1505.02750","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02750","created_at":"2026-05-18T01:35:59Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02750v1","created_at":"2026-05-18T01:35:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02750","created_at":"2026-05-18T01:35:59Z"},{"alias_kind":"pith_short_12","alias_value":"TBGGUU267APU","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TBGGUU267APUV3OT","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TBGGUU26","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:49035f07d1f5f2a2b1782d8b9d0fcccf3c258765843f204bb5c7cee09b22991e","target":"graph","created_at":"2026-05-18T01:35:59Z","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 detrending moving average (DMA) algorithm is one of the best performing methods to quantify the long-term correlations in nonstationary time series. Many long-term correlated time series in real systems contain various trends. We investigate the effects of polynomial trends on the scaling behaviors and the performances of three widely used DMA methods including backward algorithm (BDMA), centered algorithm (CDMA) and forward algorithm (FDMA). We derive a general framework for polynomial trends and obtain analytical results for constant shifts and linear trends. We find that the behavior of","authors_text":"Gao-Feng Gu, Wei-Xing Zhou (ECUST), Ying-Hui Shao, Zhi-Qiang Jiang","cross_cats":["physics.soc-ph","q-fin.ST"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2015-04-28T02:42:19Z","title":"Effects of polynomial trends on detrending moving average analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02750","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":"sha256:2b4e0482753389b2f0ae9e07017fc268aa6df35f71b4df5ab9431d3270e451f3","target":"record","created_at":"2026-05-18T01:35:59Z","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":"c469b7d44df5527dc070d481be60c6b4fa24d243f0d3803f1d05bf449715deb7","cross_cats_sorted":["physics.soc-ph","q-fin.ST"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2015-04-28T02:42:19Z","title_canon_sha256":"d08527b53bd613bce6a2bea92ed188d64c8b5c1166bf0dd4a750065166513565"},"schema_version":"1.0","source":{"id":"1505.02750","kind":"arxiv","version":1}},"canonical_sha256":"984c6a535ef81f4aedd3dadcb5683c219d5fc5bb34c4cee4a309546d9b63fbb3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"984c6a535ef81f4aedd3dadcb5683c219d5fc5bb34c4cee4a309546d9b63fbb3","first_computed_at":"2026-05-18T01:35:59.631795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:59.631795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3hsxwfK+US3jE+m4YuhTL3ccmtd+wymxgO+7jE/enUNl5Nf7mJI4NN/SA47wyua7U7VidEa2OguxAx/9hK1RAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:59.632474Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.02750","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b4e0482753389b2f0ae9e07017fc268aa6df35f71b4df5ab9431d3270e451f3","sha256:49035f07d1f5f2a2b1782d8b9d0fcccf3c258765843f204bb5c7cee09b22991e"],"state_sha256":"11391e335b053ba1473a0aced7d97c0f29f88512999676c65d644fe4778e5526"}