{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:LOIRQMX3U4R3UYGIO66KUMPLHL","short_pith_number":"pith:LOIRQMX3","schema_version":"1.0","canonical_sha256":"5b911832fba723ba60c877bcaa31eb3afb7116da9e90809660e701d16aadc6f1","source":{"kind":"arxiv","id":"1204.2094","version":2},"attestation_state":"computed","paper":{"title":"Transition from weak to strong cascade in MHD turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.plasm-ph","physics.space-ph"],"primary_cat":"astro-ph.SR","authors_text":"Andrea Verdini, Roland Grappin","submitted_at":"2012-04-10T10:17:28Z","abstract_excerpt":"The transition from weak to strong turbulence when passing from large to small scales in magnetohydrodynamic (MHD) turbulence with guide field is a cornerstone of anisotropic turbulence theory. We present the first check of this transition, using the Shell-RMHD which combines a shell model of perpendicular nonlinear coupling and linear propagation along the guide field. This model allows us to reach Reynolds numbers around $10^6$. We obtain surprisingly good agreement with the theoretical predictions, with a reduced perpendicular energy spectrum scaling as $k^{-2}$ at large scales and as $k^{-"},"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":"1204.2094","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-04-10T10:17:28Z","cross_cats_sorted":["physics.plasm-ph","physics.space-ph"],"title_canon_sha256":"91084f918d2692c4a5c6f10b0569d0006418904687ddd57b9b31044e8193c245","abstract_canon_sha256":"7071e1f8d8857e64ad3a0f722dbf5e1d0aee46a1aeaaaa314ca5b61dabe2c407"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:55.432521Z","signature_b64":"kBWYng4DjM4pf98gS+fAyTWED+xkW7A92IMQRTqb0RYLXhfvK660uSrsydpMCO3n0wl5GI0EVY//0XedGEsqDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b911832fba723ba60c877bcaa31eb3afb7116da9e90809660e701d16aadc6f1","last_reissued_at":"2026-05-18T01:57:55.431939Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:55.431939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Transition from weak to strong cascade in MHD turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.plasm-ph","physics.space-ph"],"primary_cat":"astro-ph.SR","authors_text":"Andrea Verdini, Roland Grappin","submitted_at":"2012-04-10T10:17:28Z","abstract_excerpt":"The transition from weak to strong turbulence when passing from large to small scales in magnetohydrodynamic (MHD) turbulence with guide field is a cornerstone of anisotropic turbulence theory. We present the first check of this transition, using the Shell-RMHD which combines a shell model of perpendicular nonlinear coupling and linear propagation along the guide field. This model allows us to reach Reynolds numbers around $10^6$. We obtain surprisingly good agreement with the theoretical predictions, with a reduced perpendicular energy spectrum scaling as $k^{-2}$ at large scales and as $k^{-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2094","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1204.2094","created_at":"2026-05-18T01:57:55.432024+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.2094v2","created_at":"2026-05-18T01:57:55.432024+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2094","created_at":"2026-05-18T01:57:55.432024+00:00"},{"alias_kind":"pith_short_12","alias_value":"LOIRQMX3U4R3","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"LOIRQMX3U4R3UYGI","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"LOIRQMX3","created_at":"2026-05-18T12:27:14.488303+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/LOIRQMX3U4R3UYGIO66KUMPLHL","json":"https://pith.science/pith/LOIRQMX3U4R3UYGIO66KUMPLHL.json","graph_json":"https://pith.science/api/pith-number/LOIRQMX3U4R3UYGIO66KUMPLHL/graph.json","events_json":"https://pith.science/api/pith-number/LOIRQMX3U4R3UYGIO66KUMPLHL/events.json","paper":"https://pith.science/paper/LOIRQMX3"},"agent_actions":{"view_html":"https://pith.science/pith/LOIRQMX3U4R3UYGIO66KUMPLHL","download_json":"https://pith.science/pith/LOIRQMX3U4R3UYGIO66KUMPLHL.json","view_paper":"https://pith.science/paper/LOIRQMX3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.2094&json=true","fetch_graph":"https://pith.science/api/pith-number/LOIRQMX3U4R3UYGIO66KUMPLHL/graph.json","fetch_events":"https://pith.science/api/pith-number/LOIRQMX3U4R3UYGIO66KUMPLHL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LOIRQMX3U4R3UYGIO66KUMPLHL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LOIRQMX3U4R3UYGIO66KUMPLHL/action/storage_attestation","attest_author":"https://pith.science/pith/LOIRQMX3U4R3UYGIO66KUMPLHL/action/author_attestation","sign_citation":"https://pith.science/pith/LOIRQMX3U4R3UYGIO66KUMPLHL/action/citation_signature","submit_replication":"https://pith.science/pith/LOIRQMX3U4R3UYGIO66KUMPLHL/action/replication_record"}},"created_at":"2026-05-18T01:57:55.432024+00:00","updated_at":"2026-05-18T01:57:55.432024+00:00"}