{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:HXGJKRGMYPCTXCFCUI2KFSV7XI","short_pith_number":"pith:HXGJKRGM","canonical_record":{"source":{"id":"1902.04437","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2019-02-09T12:45:57Z","cross_cats_sorted":[],"title_canon_sha256":"7a7fcbd53951f129b377d42200dd677b8e28335789b0451bc28e3005346b537d","abstract_canon_sha256":"735bc90efb0bc40eeea6437dfa4566e624205acaa9ffe4aacc33d59b68a1b52d"},"schema_version":"1.0"},"canonical_sha256":"3dcc9544ccc3c53b88a2a234a2cabfba33b455b308d497624099c3907b1ab898","source":{"kind":"arxiv","id":"1902.04437","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.04437","created_at":"2026-05-17T23:54:12Z"},{"alias_kind":"arxiv_version","alias_value":"1902.04437v1","created_at":"2026-05-17T23:54:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04437","created_at":"2026-05-17T23:54:12Z"},{"alias_kind":"pith_short_12","alias_value":"HXGJKRGMYPCT","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HXGJKRGMYPCTXCFC","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HXGJKRGM","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:HXGJKRGMYPCTXCFCUI2KFSV7XI","target":"record","payload":{"canonical_record":{"source":{"id":"1902.04437","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2019-02-09T12:45:57Z","cross_cats_sorted":[],"title_canon_sha256":"7a7fcbd53951f129b377d42200dd677b8e28335789b0451bc28e3005346b537d","abstract_canon_sha256":"735bc90efb0bc40eeea6437dfa4566e624205acaa9ffe4aacc33d59b68a1b52d"},"schema_version":"1.0"},"canonical_sha256":"3dcc9544ccc3c53b88a2a234a2cabfba33b455b308d497624099c3907b1ab898","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:12.272963Z","signature_b64":"2aWiCVuCHlgfRXGS5AX2tsa3a1uN/zw5TzuxZ1zvbijsTkV6x5QWX4vGdd/lus1IqIBydjhl3g7YNiYMv7biCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3dcc9544ccc3c53b88a2a234a2cabfba33b455b308d497624099c3907b1ab898","last_reissued_at":"2026-05-17T23:54:12.272556Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:12.272556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.04437","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":"2026-05-17T23:54:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PuTQOY8pa398tZOpFxbAbNVmnR1QfAO3NyjAaK+Td6xgFT9zgx1bDab+7B/N+SU/qDkGttdjlRgZdoIkQt3vAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:24:45.654822Z"},"content_sha256":"0cfc32ff6a9cc06c3d3db68804ec7cf499a8472722bc2d0a32615a7b8a85f759","schema_version":"1.0","event_id":"sha256:0cfc32ff6a9cc06c3d3db68804ec7cf499a8472722bc2d0a32615a7b8a85f759"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:HXGJKRGMYPCTXCFCUI2KFSV7XI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Direct determination approach for the multifractal detrending moving average analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.ST","authors_text":"Gao-Feng Gu, Hai-Chuan Xu, Wei-Xing Zhou (ECUST)","submitted_at":"2019-02-09T12:45:57Z","abstract_excerpt":"In the canonical framework, we propose an alternative approach for the multifractal analysis based on the detrending moving average method (MF-DMA). We define a canonical measure such that the multifractal mass exponent $\\tau(q)$ is related to the partition function and the multifractal spectrum $f(\\alpha)$ can be directly determined. The performances of the direct determination approach and the traditional approach of the MF-DMA are compared based on three synthetic multifractal and monofractal measures generated from the one-dimensional $p$-model, the two-dimensional $p$-model and the fracti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04437","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":"2026-05-17T23:54:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e+c0/kMyHWMdwgoKwJi/tGQKcyWpwFTe8iMmK4kiNyQMGzZKGuZOKCLGjw0PHuPRjqE1dOkle+fW30OYRP87Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:24:45.655189Z"},"content_sha256":"c43861a5bcb7eafad7416e4893b5c20d3e8ea739231ae63f3a230538bdbf1379","schema_version":"1.0","event_id":"sha256:c43861a5bcb7eafad7416e4893b5c20d3e8ea739231ae63f3a230538bdbf1379"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HXGJKRGMYPCTXCFCUI2KFSV7XI/bundle.json","state_url":"https://pith.science/pith/HXGJKRGMYPCTXCFCUI2KFSV7XI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HXGJKRGMYPCTXCFCUI2KFSV7XI/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":"2026-06-22T15:24:45Z","links":{"resolver":"https://pith.science/pith/HXGJKRGMYPCTXCFCUI2KFSV7XI","bundle":"https://pith.science/pith/HXGJKRGMYPCTXCFCUI2KFSV7XI/bundle.json","state":"https://pith.science/pith/HXGJKRGMYPCTXCFCUI2KFSV7XI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HXGJKRGMYPCTXCFCUI2KFSV7XI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:HXGJKRGMYPCTXCFCUI2KFSV7XI","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":"735bc90efb0bc40eeea6437dfa4566e624205acaa9ffe4aacc33d59b68a1b52d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2019-02-09T12:45:57Z","title_canon_sha256":"7a7fcbd53951f129b377d42200dd677b8e28335789b0451bc28e3005346b537d"},"schema_version":"1.0","source":{"id":"1902.04437","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.04437","created_at":"2026-05-17T23:54:12Z"},{"alias_kind":"arxiv_version","alias_value":"1902.04437v1","created_at":"2026-05-17T23:54:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04437","created_at":"2026-05-17T23:54:12Z"},{"alias_kind":"pith_short_12","alias_value":"HXGJKRGMYPCT","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HXGJKRGMYPCTXCFC","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HXGJKRGM","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:c43861a5bcb7eafad7416e4893b5c20d3e8ea739231ae63f3a230538bdbf1379","target":"graph","created_at":"2026-05-17T23:54:12Z","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":"In the canonical framework, we propose an alternative approach for the multifractal analysis based on the detrending moving average method (MF-DMA). We define a canonical measure such that the multifractal mass exponent $\\tau(q)$ is related to the partition function and the multifractal spectrum $f(\\alpha)$ can be directly determined. The performances of the direct determination approach and the traditional approach of the MF-DMA are compared based on three synthetic multifractal and monofractal measures generated from the one-dimensional $p$-model, the two-dimensional $p$-model and the fracti","authors_text":"Gao-Feng Gu, Hai-Chuan Xu, Wei-Xing Zhou (ECUST)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2019-02-09T12:45:57Z","title":"Direct determination approach for the multifractal detrending moving average analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04437","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":"sha256:0cfc32ff6a9cc06c3d3db68804ec7cf499a8472722bc2d0a32615a7b8a85f759","target":"record","created_at":"2026-05-17T23:54:12Z","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":"735bc90efb0bc40eeea6437dfa4566e624205acaa9ffe4aacc33d59b68a1b52d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2019-02-09T12:45:57Z","title_canon_sha256":"7a7fcbd53951f129b377d42200dd677b8e28335789b0451bc28e3005346b537d"},"schema_version":"1.0","source":{"id":"1902.04437","kind":"arxiv","version":1}},"canonical_sha256":"3dcc9544ccc3c53b88a2a234a2cabfba33b455b308d497624099c3907b1ab898","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3dcc9544ccc3c53b88a2a234a2cabfba33b455b308d497624099c3907b1ab898","first_computed_at":"2026-05-17T23:54:12.272556Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:12.272556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2aWiCVuCHlgfRXGS5AX2tsa3a1uN/zw5TzuxZ1zvbijsTkV6x5QWX4vGdd/lus1IqIBydjhl3g7YNiYMv7biCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:12.272963Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.04437","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cfc32ff6a9cc06c3d3db68804ec7cf499a8472722bc2d0a32615a7b8a85f759","sha256:c43861a5bcb7eafad7416e4893b5c20d3e8ea739231ae63f3a230538bdbf1379"],"state_sha256":"d9b347621ae48f59bbf9ea6592d4fce9c8c205cfe9a1060a5b03161a7fed8ddd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9S7yb7Yba+LlH1RrotdHNBfRLnjEql6RqnZFhy7tH1NMiMasFNzzCngBL7/5OGQylOpb1tLEVnMBVDnD3UPMCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T15:24:45.657286Z","bundle_sha256":"1a6a19cdd5b83f4318bf4b3afef56f5848b2d7c0dbfdfa2bcce6d79d3821d019"}}