The hardware you're looking for isn't ASIC, but FPGA (Field-programmable gate array) which have good performance (compared with CPU/GPU) while can be used for multiple application.
In the topic of bitcoin tags, of course, the most interesting question is the algorithmic proof that calculations (any flow of information) had a specific hardware source. If algorithmic is impossible, then it would be interesting to know about the ways that make it as difficult as possible to replace (things like mac, IMEI, etc.)