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;

Try ["points.bean.pointsBase"]