Sorry to respond so late to the question. Traffic here is slow, and I rarely check anymore!
Considering the wealth of knowledge here, I'm surprised no one has responded. Then again, the Porsche Design watches are loved by few, and considered something of a "black sheep" in the family.
There is not much in the way of reference material for searching Porsche Design Titan watches, so I offer a response based on what little I have read combined with what I have (or have not) observed in the wild. If I'm mistaken, I am usually corrected by members who prefer to "correct" the info rather than offer it in the first place.
The case back carries the serial number, and will fit cases for the 3700/3702/3704. I believe the serial number for the 3700 started with 2278100. I have a couple in the range, and both have the A-XXX (023 and 198). The A-XXX was stamped on the case back by Tourneau in New York City, NY, as a commemoration of the first 500 Titan models sold. But since this was not done by/at IWC, the order of sales 001 to 500 do not relate to the sequence of the IWC serial numbers.
Now the part I can't explain from experience: the first 3700 models had unique components that were upgraded over the years during their time on the market (1981 to 1997). The second link on the 6 o'clock side that is engraved PORSCHE DESIGN only appeared on the first (1981) models until IWC included PORSCHE DESIGN on the dial of the second version in 1982. As far as I know, the link with PORSCHE DESIGN engraved on it are only the Gen 1 bracelet link-type with a single pin holding it to its neighboring link (or to the TITAN link in this situation).
If you have a PORSCHE DESIGN bracelet link with the Gen 2 bracelet (two pins), I would be surprised and frustrated. I say frustrated because IWC either didn't track details of production, or isn't interested in sharing the details. As for the PD clasp, I have seen these in Gen 1/single pin configuration as well as Gens 2 and 3.
Further complicating the issue is that the earliest 3700 cases were connected to the earliest bracelets through the TITAN link, which had to be separated from the PORSCHE DESIGN link to reveal access holes for pushing back the pins securing the link to the case. Is your TITAN link welded (two spot welds) to the PORSCHE DESIGN link, or are they two, separable links? I expect they are separable only because I have never seen the PORSCHE DESIGN link welded to the TITAN link in the updated configuration. But I have seen very few PORSCHE DESIGN links over the years.
Hopefully this information is helpful if not timely. Since I have responded to this thread, I expect the Forum will email me if anyone else responds, or if you have more details or questions.