1982 likely date of manufacture.

Mexico 66 design.

Part of the GT 2000 Series.

Greater stability was the goal of this shoe.

See Blue Ribbon Sports #9 for the bag they came in.

(Identified by Dennis Vixie as Blue Ribbon Sports shoes, but subsequent scholarship makes it fairly certain that they are not.)

From the Facebook page of Sacramento podiatrist, Dr. Kevin Kirby: "Onitsuka Tiger X-Caliber GT Running Shoe: First Shoe with Dual Density Midsole for "Overpronation" "In 1982, Onitsuka Tiger (now Asics) shoe company introduced a new concept in running shoes with a shoe called the X-Caliber GT. 

The X-Caliber GT that had a high durometer "stabilizing pillar" embedded within the medial aspect of the rearfoot midsole of the running shoe. This was the first in a long line of "dual-density midsole" constuction running shoes that was intended to reduce "overpronation". Dual density midsoles are now commonly used in "stability" and "motion-control" running shoes even to this day."