In 1582 the pope Gregory the 13th introduced the gregorian calander before that we used the Julian calander in the west but it had drifted about 10 days. I was wondering when reading a date in an article does that take this drift into account? And before that the drift of the roman and Greek calanders?
Dates before 1582 are not converted to the Gregorian calendar, no. At least, not that I've ever come across. For parts of the world and periods where the Julian calendar can be made to apply, Julian calendar dates are used. This saves the effort of converting dates reported by older sources. In places where another calendar is used, for example the Alexandrian calendar, it will also normally be converted to the Julian calendar for the sake of consistency.
This practice can be pushed back to Roman history ca. 8 CE; prior to that, calendar dates reported by the ancient sources are used, without conversion to any single calendar system, because there is no way of synchronising them. The Julian calendar was imperfectly implemented until that date, and prior to 46 BCE the Julian calendar wasn't used at all. As a result there is no way of converting dates before then. Older calendars were generally lunar, and implemented inconsistently: there's no way of converting dates in the classical Attic calendar to any other calendar, for example.
The exception is if a source expressly mentions a solstice, equinox, or eclipse. That's rare, but in those rare cases a conversion to the Julian calendar can still be done. The Julian calendar is also used in archaeoastronomy for all dates prior to 1582. So for example when someone argues that a battle between the Lydians and the Medes somewhere in Anatolia took place on 28 May 585 BCE, because it was supposedly interrupted by a solar eclipse that caused significant dimming (we don't know that, actually, but it's a popular argument), that's a date in the Julian calendar because that's the calendar that modern astronomers use to report events before 1582.
The drift of the Julian calendar isn't considered to be a very significant problem, because the closer a date is to 325 CE, the closer it is to being in synch with the modern Gregorian calendar. So long as we're talking about dates within 1200 years of that -- from about 900 BCE onwards -- the drift is less than the 11 days that applied in 1582. That's small enough that it's simplest to stick with Julian dates.