This is correct. However, only years in which you are registered with the OASI and pay contributions count towards your OASI pension. If you are registered with the OASI for the full 44 years then the lowest pension you can get is 1225 francs per month, and the highest pension you can get is 2450 francs per month. How much you get depends on your average income across those 44 years. Most people get a pension which falls somewhere between the minimum and maximum.
If you do not contribute to the OASI for the full 44 years (e.g. you only live in Switzerland for a few years, or move here later in life), then your pension is reduced accordingly.
Example: If you only contribute for 11 years, then your pension will be around 1/4 of what it would be if you had contributed for the full 44 years. So around 306.25 per mont if you paid minimum contributions, and around 612.5 francs per month if you paid maximum contributions.
You can get an OASI statement from your social security office (generally the cantonal social security office, unless your employer subscribes to a social security office from an industry association). In Zurich, this would be the SVA:
The problem is that the statement provides a calculation of what your pension will be IF you continue contributing until you reach retirement age. So you do not really get a clear picture of where you stand right now.
Of course, the OASI can also be changed (higher retirement age or lower pensions, for example). But your OASI statement is as good as it gets, in terms of determining your OASI pension.
Occupational pension fund (pillar 2)
Your occupational pension (pillar 2) is something else. The pension your receive from your employer’s pension fund is more like a bank account. You have a clear amount of money in the account, and money paid in by you and your employer are credited to the account. The pension you receive is based on a percentage of the benefits in your account. Currently, your annual pension is equal to 6.8 percent of the benefits in your pension fund (though the conversion rate is set to be reduced to 6 percent shortly).
Example: If you have 100,000 francs in your pillar 2 when you reach standard retirement age, you will receive 6800 francs per year (or 6000 francs if the conversion rate is lowered to 6 percent).
Of course, if you only work for a Swiss employer for a few years, you could also have 5, 10, or 20,000 francs in your pension fund. If you only have 10K of benefits, for example, then your pension will be just 680 or 600 francs per year.