People will be reluctant to say this, but there are a few different answers.What's the longest you can live there continuously without being taxed on your wealth and income?
1) What the rule of law/regulation says - I believe this is 180 days, and some visas (student) may be exempt.
2) What practically happens - some time after a full year plus, depending on when you arrived and when you get your DNI, CUIT/CUIL, CDI (process can take a year or more) and when annual taxes are due, and what you ended up disclosing in the visa process or the banking process or employment process or otherwise.
3) Never, based on your approach to "risk taking."
Since you (Sequoia1321) are a lawyer, the concept of the rule of law not really applying to anything is going to be quite alien. As some tried to explain to you in another thread, there are laws and regulations in Argentina about EVERYTHING, and pretty much every activity of human life is illegal or regulated to a high degree. The reality is that MOST laws/regulations are largely ignored by everyone, so it becomes sort of a true democracy - what is acceptable behavior (or not) is determined by a majority of the people and the way they choose to live, regardless of what laws or regulations say. Most locals and expats pay SOME level of tax, depending on what they allow the government and others to know about them. Lots of locals and expats pay nothing at all. As for getting caught and penalties, nothing in Argentina is solid. Deadlines are soft, enforcement is lax, penalties are fluid, and there is always an "unofficial" way to get almost anything official done, and most everyone accepts that as normal.
I have seen something similar only once in the USA. Nevada passed a non-smoking ordinance almost identical to California's. No smoking in ANY public building, including bars and restaurants. This was a huge deal in Nevada, where smoking is almost mandatory. In Las Vegas, the locals adapted this way - in any bar (whether serving food or not), if you sit at the bar, smoking happens. If you sit anywhere else, no smoking. So while smoking is technically illegal, even when sitting at the bar, the locals determined that that is how it would be, and that is the way it is. But go to a bar in Reno or elsewhere, no smoking inside the building. Period.
There are a few expats around that are very straight arrows, and they work hard to comply with everything the Argentine government demands, much as they did in their home countries. This is a difficult task, and I admire them for their character and commitment. I don't believe there are many Argentines that would choose to live like that.
Since I don't live there (yet), I have not made any choices. Other than driving. Argentines drive the way I would if I could get away with it.