Hi Ray. I just replied to your PM and hadn't seen this thread. The best way to identify whether it's a '64 or '65 is to look at the tire production codes on the sidewalls of the tires and figure out when the tires were manufactured (it's not infallible, but it will give a decent approximation of when the bike was built). I describe how to do this in my
Ultimate Sears Spaceliner Reference in the section headed "The Bikes", but here's the full text and image from the information link.
BTW, your bike is an absolute STUNNER! Kudos on such a great find.
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Sears Allstate bicycle tires can be dated using the 3-circle stamps on the tire sidewall.
The stamps cover a 12 year period. The relevant period stamps for the 1960's cover the years from 1960 to 1971 (12 years). Each circle is divided into quarters to represent a year. The final quarter section to have dots indicates the year of manufacture, and the number of dots within that quarter section (1-4) indicates the quarter in which the tire was manufactured.
This example image shows that 1965 is the year of manufacture (all previous years are filled with 4 dots), and because there is 1 dot in the 1965 section it indicates that the tire was manufactured in the first quarter of 1965.
NOTE: Tire dates give an approximation of when the bike was manufactured, but may not be exact because tires may have been in inventory for some time prior to manufacture of the bike they were mounted on. It's common to see tires manufactured in different quarters to be mounted on the same bike.