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They have skyrmion solutions saturating a BPS bound, and the corresponding static energy functional is invariant under area-preserving diffeomorphisms (APDs). Here we show that the solitons in the BPS baby Skyrme model, which carry a nontrivial topological charge $Q_{b} \\in \\pi_2(S^2)$ (a winding number), are dual to vortices in a BPS vortex model with a topological charge $Q_{v}\\in \\pi_1(S^1)$ (a vortex number), in the sense that there is a map between the BPS solutions of the t"},"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":"1209.5403","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-09-24T20:02:31Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f127e27dc5a87241a2022c1114277992b7b17523bde46bca5d9d57b63f27a75c","abstract_canon_sha256":"9721fd06bab414c2d807aa4d1cedf39c4af1f9fa8301edea93ccfac5b8eed110"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:27.505659Z","signature_b64":"0C21RlGOD2q0hGS4BGtynBWOn7GG5S0wU//jvbg3eOPNnnLLqm7acXDFzuRIPy6mgUt2oZLP90zAkE2Z0L+fCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe37189aac4632760838acdc1359ea23d28589e7e29bc0de25faed41d77296ee","last_reissued_at":"2026-05-18T03:22:27.505036Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:27.505036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological duality between vortices and planar skyrmions in BPS theories with APD symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"A. 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