?His Individual Deceased Personnel File (IDPF) should include the exact date and place of death and other information of interest and possible use. You can order his file from:
Total Army Personnel Command ATTN: TAPC-PED-F (FOIA) Alexandria, VA 22231-0482
It's unlikely more than one Bruce F. Perrigo died on the the same date (or, for that matter, during the entire war) so all you should need to do is send a brief note, something like:
"I would like a copy of the IDPF of PFC BRUCE F. PERRIGO, 39 192 641, who died in December 1945 in Europe."
You can use a post card. Keep it simple. The people who handle these requests are very capable. There should be no charge but I'm informed the wait can now be up to eight months, depending on their current workload.
Also, Perrigo was a draftee. These men were inducted to serve for "the duration plus six months" which, in the European-African-Middle Eastern Theater, meant 8 November 1945. The war officially ended 7 May 1945.
He could have lingered for some while from being wounded to his date of death OR the date of death you've been given may be incorrect. Perhaps 1944 instead of 1945. All this, however, is irrelevant.
As stated, the people at Perscom are very adept at what they do and you can count on them to locate the correct file with the info above.