{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:LS5FJ4LBX6SDVBRSZU2SRSKWXI","short_pith_number":"pith:LS5FJ4LB","canonical_record":{"source":{"id":"physics/0508149","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"physics.data-an","submitted_at":"2005-08-20T09:21:28Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"949f0522b6b51030c846c375ecfabff4b8c56a2bb41bbac507b80ac433262cdc","abstract_canon_sha256":"ba6db15317db79a012dc21f9ba45ea767f4c60f36a294e539c50b766d607c46d"},"schema_version":"1.0"},"canonical_sha256":"5cba54f161bfa43a8632cd3528c956ba29e5f8dc10589ce5e942554cd91e4f06","source":{"kind":"arxiv","id":"physics/0508149","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0508149","created_at":"2026-05-18T04:28:37Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0508149v2","created_at":"2026-05-18T04:28:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0508149","created_at":"2026-05-18T04:28:37Z"},{"alias_kind":"pith_short_12","alias_value":"LS5FJ4LBX6SD","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"LS5FJ4LBX6SDVBRS","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"LS5FJ4LB","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:LS5FJ4LBX6SDVBRSZU2SRSKWXI","target":"record","payload":{"canonical_record":{"source":{"id":"physics/0508149","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"physics.data-an","submitted_at":"2005-08-20T09:21:28Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"949f0522b6b51030c846c375ecfabff4b8c56a2bb41bbac507b80ac433262cdc","abstract_canon_sha256":"ba6db15317db79a012dc21f9ba45ea767f4c60f36a294e539c50b766d607c46d"},"schema_version":"1.0"},"canonical_sha256":"5cba54f161bfa43a8632cd3528c956ba29e5f8dc10589ce5e942554cd91e4f06","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:37.113467Z","signature_b64":"UfDgOmnG5oKD3ZSP5N0tvqsMrMl/8g2HLbo2GZV1i4KPlYYdQz6aJ2Tdmjoxbogaqe2wofGqhIgOEN/kYbGkDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5cba54f161bfa43a8632cd3528c956ba29e5f8dc10589ce5e942554cd91e4f06","last_reissued_at":"2026-05-18T04:28:37.112999Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:37.112999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/0508149","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":"2026-05-18T04:28:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U/fYcWvYyOk2fyGo/Lx8Nl34cG0lgg1mqCnJb390l/of4McwzAgERusZbIs+IKFgH2DXwKpCkrDGol87OznXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:34:57.511644Z"},"content_sha256":"ac84cdefe47124111100c801f5a94a935d4b1b7aefafa7d5828fffadacf2a5e4","schema_version":"1.0","event_id":"sha256:ac84cdefe47124111100c801f5a94a935d4b1b7aefafa7d5828fffadacf2a5e4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:LS5FJ4LBX6SDVBRSZU2SRSKWXI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multifractal Detrended Fluctuation Analysis of Sunspot Time Series","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"physics.data-an","authors_text":"F. Ghasemi, G. R. Jafari, M. Reza Rahimi Tabar, M. Sadegh Movahed, Sohrab Rahvar","submitted_at":"2005-08-20T09:21:28Z","abstract_excerpt":"We use multifractal detrended fluctuation analysis (MF-DFA), to See query 1 study sunspot number fluctuations. The result of the MF-DFA shows that there are three crossover timescales in the fluctuation function. We discuss how the existence of the crossover timescales is related to a sinusoidal trend. Using Fourier detrended fluctuation analysis, the sinusoidal trend is eliminated. The Hurst exponent of the time series without the sinusoidal trend is $0.12\\pm 0.01$. Also we find that these fluctuations have multifractal nature. Comparing the MF-DFA results for the remaining data set to those "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0508149","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":"2026-05-18T04:28:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QEqay/0swl60BTcVgI52P73qReP+hh24ZORezdT/oDMyplc+Qe0RoWQS6zc0xKYBiAkRYBFTxw5pwSV+SHb8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:34:57.512026Z"},"content_sha256":"d9bba73baf4055cd5ac11c108b3d6ae6f8edad0c2b1f9a52d7af9c3d5924fb56","schema_version":"1.0","event_id":"sha256:d9bba73baf4055cd5ac11c108b3d6ae6f8edad0c2b1f9a52d7af9c3d5924fb56"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LS5FJ4LBX6SDVBRSZU2SRSKWXI/bundle.json","state_url":"https://pith.science/pith/LS5FJ4LBX6SDVBRSZU2SRSKWXI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LS5FJ4LBX6SDVBRSZU2SRSKWXI/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":"2026-05-27T07:34:57Z","links":{"resolver":"https://pith.science/pith/LS5FJ4LBX6SDVBRSZU2SRSKWXI","bundle":"https://pith.science/pith/LS5FJ4LBX6SDVBRSZU2SRSKWXI/bundle.json","state":"https://pith.science/pith/LS5FJ4LBX6SDVBRSZU2SRSKWXI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LS5FJ4LBX6SDVBRSZU2SRSKWXI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:LS5FJ4LBX6SDVBRSZU2SRSKWXI","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":"ba6db15317db79a012dc21f9ba45ea767f4c60f36a294e539c50b766d607c46d","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"physics.data-an","submitted_at":"2005-08-20T09:21:28Z","title_canon_sha256":"949f0522b6b51030c846c375ecfabff4b8c56a2bb41bbac507b80ac433262cdc"},"schema_version":"1.0","source":{"id":"physics/0508149","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0508149","created_at":"2026-05-18T04:28:37Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0508149v2","created_at":"2026-05-18T04:28:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0508149","created_at":"2026-05-18T04:28:37Z"},{"alias_kind":"pith_short_12","alias_value":"LS5FJ4LBX6SD","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"LS5FJ4LBX6SDVBRS","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"LS5FJ4LB","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:d9bba73baf4055cd5ac11c108b3d6ae6f8edad0c2b1f9a52d7af9c3d5924fb56","target":"graph","created_at":"2026-05-18T04:28:37Z","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 use multifractal detrended fluctuation analysis (MF-DFA), to See query 1 study sunspot number fluctuations. The result of the MF-DFA shows that there are three crossover timescales in the fluctuation function. We discuss how the existence of the crossover timescales is related to a sinusoidal trend. Using Fourier detrended fluctuation analysis, the sinusoidal trend is eliminated. The Hurst exponent of the time series without the sinusoidal trend is $0.12\\pm 0.01$. Also we find that these fluctuations have multifractal nature. Comparing the MF-DFA results for the remaining data set to those ","authors_text":"F. Ghasemi, G. R. Jafari, M. Reza Rahimi Tabar, M. Sadegh Movahed, Sohrab Rahvar","cross_cats":["astro-ph"],"headline":"","license":"","primary_cat":"physics.data-an","submitted_at":"2005-08-20T09:21:28Z","title":"Multifractal Detrended Fluctuation Analysis of Sunspot Time Series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0508149","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:ac84cdefe47124111100c801f5a94a935d4b1b7aefafa7d5828fffadacf2a5e4","target":"record","created_at":"2026-05-18T04:28:37Z","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":"ba6db15317db79a012dc21f9ba45ea767f4c60f36a294e539c50b766d607c46d","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"physics.data-an","submitted_at":"2005-08-20T09:21:28Z","title_canon_sha256":"949f0522b6b51030c846c375ecfabff4b8c56a2bb41bbac507b80ac433262cdc"},"schema_version":"1.0","source":{"id":"physics/0508149","kind":"arxiv","version":2}},"canonical_sha256":"5cba54f161bfa43a8632cd3528c956ba29e5f8dc10589ce5e942554cd91e4f06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5cba54f161bfa43a8632cd3528c956ba29e5f8dc10589ce5e942554cd91e4f06","first_computed_at":"2026-05-18T04:28:37.112999Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:37.112999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UfDgOmnG5oKD3ZSP5N0tvqsMrMl/8g2HLbo2GZV1i4KPlYYdQz6aJ2Tdmjoxbogaqe2wofGqhIgOEN/kYbGkDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:37.113467Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0508149","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac84cdefe47124111100c801f5a94a935d4b1b7aefafa7d5828fffadacf2a5e4","sha256:d9bba73baf4055cd5ac11c108b3d6ae6f8edad0c2b1f9a52d7af9c3d5924fb56"],"state_sha256":"dd44222bc232c223a897df99423e3d11fcb11fdf20370d8b5ac71d9b5ae211de"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"diq8IsXaKCsSdVN87nvPjpe4koxPEkk2tJCwMKXM18fokKXglbb3D/o3egUTsOMamZbny+VzgeBTbRncLGtUDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T07:34:57.514865Z","bundle_sha256":"cc9c9b6673392041c29527387e9a4f3479c97f58988ea75561bd1948b0a5bbae"}}