{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:GHY5II7IQKARNO72CIW5K52TFI","short_pith_number":"pith:GHY5II7I","schema_version":"1.0","canonical_sha256":"31f1d423e8828116bbfa122dd577532a35730875100380f6a6f7559b828c056c","source":{"kind":"arxiv","id":"astro-ph/0012447","version":2},"attestation_state":"computed","paper":{"title":"Numerical Analysis of Magnetic Field Amplification by Turbulence","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Hongsong Chou","submitted_at":"2000-12-20T20:09:42Z","abstract_excerpt":"We apply a Fourier spectral numerical method to 3D incompressible MHD turbulence with a magnetic Prandtl number $Pr \\geq 1$. We examine the processes by which an initially weak, large-scale seed magnetic field and an initially weak, small-scale, impulse-like seed magnetic field are amplified. We find that in both cases the magnetic energy spectrum grows at all scales. The growth rates at different amplification stages are analyzed. For a large-scale seed magnetic field, the magnetic energy density grows as $\\sim t^2$ for the first few turbulence eddy turnover times, followed by a dynamic growt"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"astro-ph/0012447","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2000-12-20T20:09:42Z","cross_cats_sorted":[],"title_canon_sha256":"15cbb4505e3f798289f357fbc71e1e223dd62635d66b1dd99f88b619332c3213","abstract_canon_sha256":"4e2f1f530be057e6644bf859db8b99906ffe0d021e307f153a153fe3d0af79b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:17:50.178913Z","signature_b64":"Yl26RQ0wmodYQiwBG3WH3HHyrIHSj+sHuASDbFTWkmmnnQqHtTxyEg015ElvPzh6msJS0r2OIykeqdLyL3ioDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31f1d423e8828116bbfa122dd577532a35730875100380f6a6f7559b828c056c","last_reissued_at":"2026-07-04T16:17:50.178517Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:17:50.178517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Numerical Analysis of Magnetic Field Amplification by Turbulence","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Hongsong Chou","submitted_at":"2000-12-20T20:09:42Z","abstract_excerpt":"We apply a Fourier spectral numerical method to 3D incompressible MHD turbulence with a magnetic Prandtl number $Pr \\geq 1$. We examine the processes by which an initially weak, large-scale seed magnetic field and an initially weak, small-scale, impulse-like seed magnetic field are amplified. We find that in both cases the magnetic energy spectrum grows at all scales. The growth rates at different amplification stages are analyzed. For a large-scale seed magnetic field, the magnetic energy density grows as $\\sim t^2$ for the first few turbulence eddy turnover times, followed by a dynamic growt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0012447","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0012447/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0012447","created_at":"2026-07-04T16:17:50.178574+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0012447v2","created_at":"2026-07-04T16:17:50.178574+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0012447","created_at":"2026-07-04T16:17:50.178574+00:00"},{"alias_kind":"pith_short_12","alias_value":"GHY5II7IQKAR","created_at":"2026-07-04T16:17:50.178574+00:00"},{"alias_kind":"pith_short_16","alias_value":"GHY5II7IQKARNO72","created_at":"2026-07-04T16:17:50.178574+00:00"},{"alias_kind":"pith_short_8","alias_value":"GHY5II7I","created_at":"2026-07-04T16:17:50.178574+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GHY5II7IQKARNO72CIW5K52TFI","json":"https://pith.science/pith/GHY5II7IQKARNO72CIW5K52TFI.json","graph_json":"https://pith.science/api/pith-number/GHY5II7IQKARNO72CIW5K52TFI/graph.json","events_json":"https://pith.science/api/pith-number/GHY5II7IQKARNO72CIW5K52TFI/events.json","paper":"https://pith.science/paper/GHY5II7I"},"agent_actions":{"view_html":"https://pith.science/pith/GHY5II7IQKARNO72CIW5K52TFI","download_json":"https://pith.science/pith/GHY5II7IQKARNO72CIW5K52TFI.json","view_paper":"https://pith.science/paper/GHY5II7I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/0012447&json=true","fetch_graph":"https://pith.science/api/pith-number/GHY5II7IQKARNO72CIW5K52TFI/graph.json","fetch_events":"https://pith.science/api/pith-number/GHY5II7IQKARNO72CIW5K52TFI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GHY5II7IQKARNO72CIW5K52TFI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GHY5II7IQKARNO72CIW5K52TFI/action/storage_attestation","attest_author":"https://pith.science/pith/GHY5II7IQKARNO72CIW5K52TFI/action/author_attestation","sign_citation":"https://pith.science/pith/GHY5II7IQKARNO72CIW5K52TFI/action/citation_signature","submit_replication":"https://pith.science/pith/GHY5II7IQKARNO72CIW5K52TFI/action/replication_record"}},"created_at":"2026-07-04T16:17:50.178574+00:00","updated_at":"2026-07-04T16:17:50.178574+00:00"}