How to get JSON objects value if its name contains dots?
What you want is:
var smth = mydata.list[0]["points.bean.pointsBase"][0].time;
In JavaScript, any field you can access using the . operator, you can access using [] with a string version of the field name.
in javascript, object properties can be accessed with . operator or with associative array indexing using []. ie. object.property is equivalent to object["property"]
this should do the trick
var smth = mydata.list[0]["points.bean.pointsBase"][0].time;