The "small ticket with pattern" in your picture is the trademark on the matchbox, commonly known as "spark" and "match mark", and it is also a minority collection similar to "cigarette label" (cigarette packaging).

At present, there are two kinds of matching, one is the box, and the other is the receipt/chip. All your pictures are the latter.

From left to right, the bottom of the receipt is: manufacturer's number, complete set number and set number, pattern name and manufacturer. For example, at the bottom of the third picture, from left to right, "9508" is the serial number of Shanghai Art Match Factory, "8-4" indicates that this set of match marks is a set of eight, and this one is the fourth set, with the design name of "Flower Arrangement" and the manufacturer of "Shanghai Art Match Factory".