Static classes in Python
In my experience creating a class is a very good solution for a number of reasons. One is that you wind up using the class as a 'normal' class (esp. making more than just one instance) more often than you might think. It's also a reasonable style choice to stick with classes for everthing; this can make it easier for others who read/maintain your code, esp if they are very OO - they will be comfortable with classes. As noted in other replies, it's also reasonable to just use 'bare' functions for the implementation. You may wish to start with a class and make it a singleton/Borg pattern (lots of examples if you googlefor these); it gives you the flexibility to (re)use the class to meet other needs. I would recommend against the 'static class' approach as being non-conventional and non-Pythonic, which makes it harder to read and maintain.
It's terrible style, unless you actually need to access the class.
A static method [...] does not translate to a Python classmethod. Oh sure, it results in more or less the same effect, but the goal of a classmethod is actually to do something that's usually not even possible [...] (like inheriting a non-default constructor). The idiomatic translation of a [...] static method is usually a module-level function, not a classmethod or staticmethod.
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Generally, usage like this is better done by just using functions in a module, without a class at all.