uniqueness of name when constructing a StateDescriptor

[Colletta, Edward]

The documentation for ValueStateDescriptor documents the name parameter as - 
"name - The (unique) name for the state."
What is the scope of the uniqueness?  Unique within an RichFunction instance? 
Unique withing job? Unique within a session cluster?

I ask because I have several jobs that use a KeyedProcessFunction or 
RIchFlatMapFunction in a loop.   Something like
   for (int t:cfg.intervals)
                stream
                                .process(new FuncA(t))
                                .flatMap(new FuncB())

Where FuncA has something like the following in its open method.
     state = getRuntimeContext().getState(new 
ValueStateDescriptor<>("funcAState", stateTypeInfo, null));

The code seems to work fine, but I am wondering If I need to pass something in 
the constructor to make the state name unique for each instance created in the 
loop.

Thanks,
Eddie Colletta