{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:4KIRA7FBUL4AEH64YZSGBC63TA","short_pith_number":"pith:4KIRA7FB","schema_version":"1.0","canonical_sha256":"e291107ca1a2f8021fdcc664608bdb982b05857c1341a315b1a2b6e989db1f47","source":{"kind":"arxiv","id":"physics/0607073","version":1},"attestation_state":"computed","paper":{"title":"The Breakdown of Alfven's Theorem in Ideal Plasma Flows","license":"","headline":"","cross_cats":["astro-ph","cond-mat.supr-con","physics.space-ph"],"primary_cat":"physics.plasm-ph","authors_text":"Gregory L. Eyink, Hussein Aluie","submitted_at":"2006-07-09T16:17:36Z","abstract_excerpt":"This paper presents both rigorous results and physical theory on the breakdown of magnetic flux conservation for ideal plasmas, by nonlinear effects. Our analysis is based upon an effective equation for magnetohydrodynamic (MHD) modes at length-scales $>\\ell,$ with smaller scales eliminated, as in renormalization-group methodology. We prove that flux-conservation can be violated for an arbitrarily small length-scale $\\ell,$ and in the absence of any non-ideality, but only if singular current sheets and vortex sheets both exist and intersect in sets of large enough dimension. This result gives "},"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":"physics/0607073","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.plasm-ph","submitted_at":"2006-07-09T16:17:36Z","cross_cats_sorted":["astro-ph","cond-mat.supr-con","physics.space-ph"],"title_canon_sha256":"b82d058d8356bd8cd4ba93a230eac7e7679c3c82d0cba15ff9f9ce5b43141e26","abstract_canon_sha256":"b252d8aa71bb6c214783f9ac79d49fb4c45b8f3c5b5ff382427b73440a3240b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:06.834966Z","signature_b64":"rjX2wbv+ZUirjuVdQXNEd8S2D7ARPWQQrDEnYvManoIKmKpUISg2D+lQhnt0cTHoL4qHfYQ31xJOltAfvyLKDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e291107ca1a2f8021fdcc664608bdb982b05857c1341a315b1a2b6e989db1f47","last_reissued_at":"2026-05-18T01:38:06.834463Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:06.834463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Breakdown of Alfven's Theorem in Ideal Plasma Flows","license":"","headline":"","cross_cats":["astro-ph","cond-mat.supr-con","physics.space-ph"],"primary_cat":"physics.plasm-ph","authors_text":"Gregory L. Eyink, Hussein Aluie","submitted_at":"2006-07-09T16:17:36Z","abstract_excerpt":"This paper presents both rigorous results and physical theory on the breakdown of magnetic flux conservation for ideal plasmas, by nonlinear effects. Our analysis is based upon an effective equation for magnetohydrodynamic (MHD) modes at length-scales $>\\ell,$ with smaller scales eliminated, as in renormalization-group methodology. We prove that flux-conservation can be violated for an arbitrarily small length-scale $\\ell,$ and in the absence of any non-ideality, but only if singular current sheets and vortex sheets both exist and intersect in sets of large enough dimension. This result gives "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0607073","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"physics/0607073","created_at":"2026-05-18T01:38:06.834531+00:00"},{"alias_kind":"arxiv_version","alias_value":"physics/0607073v1","created_at":"2026-05-18T01:38:06.834531+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0607073","created_at":"2026-05-18T01:38:06.834531+00:00"},{"alias_kind":"pith_short_12","alias_value":"4KIRA7FBUL4A","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_16","alias_value":"4KIRA7FBUL4AEH64","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_8","alias_value":"4KIRA7FB","created_at":"2026-05-18T12:25:53.939244+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/4KIRA7FBUL4AEH64YZSGBC63TA","json":"https://pith.science/pith/4KIRA7FBUL4AEH64YZSGBC63TA.json","graph_json":"https://pith.science/api/pith-number/4KIRA7FBUL4AEH64YZSGBC63TA/graph.json","events_json":"https://pith.science/api/pith-number/4KIRA7FBUL4AEH64YZSGBC63TA/events.json","paper":"https://pith.science/paper/4KIRA7FB"},"agent_actions":{"view_html":"https://pith.science/pith/4KIRA7FBUL4AEH64YZSGBC63TA","download_json":"https://pith.science/pith/4KIRA7FBUL4AEH64YZSGBC63TA.json","view_paper":"https://pith.science/paper/4KIRA7FB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=physics/0607073&json=true","fetch_graph":"https://pith.science/api/pith-number/4KIRA7FBUL4AEH64YZSGBC63TA/graph.json","fetch_events":"https://pith.science/api/pith-number/4KIRA7FBUL4AEH64YZSGBC63TA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4KIRA7FBUL4AEH64YZSGBC63TA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4KIRA7FBUL4AEH64YZSGBC63TA/action/storage_attestation","attest_author":"https://pith.science/pith/4KIRA7FBUL4AEH64YZSGBC63TA/action/author_attestation","sign_citation":"https://pith.science/pith/4KIRA7FBUL4AEH64YZSGBC63TA/action/citation_signature","submit_replication":"https://pith.science/pith/4KIRA7FBUL4AEH64YZSGBC63TA/action/replication_record"}},"created_at":"2026-05-18T01:38:06.834531+00:00","updated_at":"2026-05-18T01:38:06.834531+00:00"}