Unfortunatley, Bajo Cero's information here (and in other threads where he repeats the information) is incorrect / out-of-date. The information was correct until 27 December, but
the law has now changed. You can find it here:
https://www.boletinoficial.gob.ar/detalleAviso/primera/224184/20191228
The relevant part (for the Bienes Personales/Wealth tax) is Titulo II (i.e., articles 9-13). Article 9 article refers back Article 17 to an earlier (1997) law here:
http://servicios.infoleg.gob.ar/infolegInternet/anexos/0-4999/365/texact.htm). The earlier (1997) law in its Article 17 explains the "domicile" concept to which Bajo Cero refers and which allowed a citizen to escape the Wealth Tax on their overseas assets by nominating an overseas address: such a citizen was deemed to be domiciled outside Argentina and the Wealth Tax was, accordingly, paid only on any assets inside Argentina.
The bad news is the final article (Article 13) of Titulo II of the new law (again, here
https://www.boletinoficial.gob.ar/detalleAviso/primera/224184/20191228) which says:
ARTÍCULO 13.- Toda referencia que efectúen las normas legales, reglamentarias y complementarias sobre el nexo de vinculación “domicilio” con relación al impuesto sobre los bienes personales, debe entenderse referida a “residencia” de conformidad a lo previsto en el artículo 116 y siguientes de la Ley de Impuesto a las Ganancias, texto ordenado en 2019 y sus modificaciones.
This article was added at the last minute by the Parliament and has the effect of annuling the concept of
domicilio from the 1997 law.
Henceforth, regardless of whether you are a citizen or hold a Migraciones-issued permanent or temporary residencia, once you meet the minimum AFIP residencia requirements to pay income tax--which others have explained is 6 months in the country in the tax (calendar) year--
you are also liable to pay the Wealth Tax on your overseas assets (i.e., your assets outside Argentina that exceed the threshold of 3 million pesos, or roughly USD40,000).
The only exception would be someone on a temporary Migraciones residency where that residency is based on an employment contract of less than five years, or someone who finds shelter in a double tax agreement that specifically prevents a wealth tax being levied twice in one year on the same person in Argentina and in the country the asset is located.
Those on a Rentista residency are the most exposed, having already declared an asset overseas to another agency of government (DNM).
Foreigners can no longer protect from the Wealth Tax on assets in their home country by taking out Argentine citizenship and listing an overseas address.
People can make their own judgements about the risks they run now or in the future of trying to evade this tax. By it is important that the out-of-date assertion contained in Bajo Cero's posts be corrected.