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We show that, for $\\nu t\\ll 1$ and sufficiently small Reynolds number $\\Gamma/\\nu$, the vorticity is described at leading order by a Lamb--Oseen type vortex concentrated around a curve evolving according to the binormal flow predicted by the localized induction approximation. The solution is written as an explicit leading-order profile plus a lower-order perturbation, which is controlled in a Morrey $\\mathcal{M}^{\\infty}$ norm.\n  Then, we apply this construction to the Hasimoto"},"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":"2607.21439","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-07-23T15:47:48Z","cross_cats_sorted":[],"title_canon_sha256":"468d5fe2b8b4055bc17fec289ba276769eaa7f8309faf57713eac9a890d5074c","abstract_canon_sha256":"d5164af03f58954dea6267fd5ed41a3f59917aef500f17c67eda216bbdd750f5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-24T01:24:32.635911Z","signature_b64":"7CjnSsoyt4iq1aU7YBREAajQPuQLLtY6VxHiGy0vIHUu3G6oBRoy8TB9bgsQ+e1AIOv4bT0+PpKCM67v9dTxDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"585addaa59777f0a05ad317d7d56e47248a2267c49f4d4e0535483207e4d92d2","last_reissued_at":"2026-07-24T01:24:32.634999Z","signature_status":"signed_v1","first_computed_at":"2026-07-24T01:24:32.634999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Evolution of viscous vortex filaments and soliton-type propagation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Luis Vega, Marco A. 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