Use PDF file's embedded creation date

Hi,
I'm trying to find a way to use Hazel to recognize the creation date found in some PDF files' properties (accessible hitting cmd-I in Preview), which is not the same than the creation date of a copy of the file that sits on my computer.
As an example, my bank allows me to download PDF documents that were each created on a different date in the past. If I download them today, the creation date of all the files will be today in the Finder.
As if I open the files in Preview and hit cmd-I, I will see the actual creation date of these documents.
See the difference for yourself in the following screenshots, taken for the same file.
info panel in Preview :

info panel in Finder :

You all guessed I'd like to have Hazel rename all theses docs using their embedded creation date.
Thanks for your answers,
Guillaume
I'm trying to find a way to use Hazel to recognize the creation date found in some PDF files' properties (accessible hitting cmd-I in Preview), which is not the same than the creation date of a copy of the file that sits on my computer.
As an example, my bank allows me to download PDF documents that were each created on a different date in the past. If I download them today, the creation date of all the files will be today in the Finder.
As if I open the files in Preview and hit cmd-I, I will see the actual creation date of these documents.
See the difference for yourself in the following screenshots, taken for the same file.
info panel in Preview :

info panel in Finder :

You all guessed I'd like to have Hazel rename all theses docs using their embedded creation date.
Thanks for your answers,
Guillaume