Someone on the board will be able to point you to the General Orders (GO) for the 10th Mountain Division, however there is no descriptive citation for a Purple Heart award. The GO usually just lists all the men in a particular company or unit which have received the medal in a given time period.
In addition to his medal, he would have received a certificate which looks like this one:
Texas Military Forces Museum
Dear Ms. Butler,
Thank you for posting your request on History Hub!
We suggest that you request a copy of his Official Military Personnel File (OMPF). If the OMPF has survived the 1973 fire, it may include information about injuries. It should also include a listing of his medals which cites which general order authorized the various medals. It may include a copy of the general order. OMPFs and individual medical reports for soldiers of the U.S. Army who served during World War II and who were separated from the service before 1959 are in the custody of NARA's National Personnel Records Center (NPRC) in St. Louis. In many cases where personnel records were destroyed in the 1973 fire, proof of service can be provided from other records such as morning reports, payrolls, and military orders, and a certificate of military service will be issued. Please complete a GSA Standard Form 180 and mail it to NARA's National Personnel Records Center, (Military Personnel Records), 1 Archives Drive, St. Louis, MO 63138-1002. If there is any information requested by the form that you do not know, you may omit it or provide estimates (such as for dates), but the more information you provide, the easier it will be to locate the correct file if it survived the fire. For more information see Official Military Personnel Files (OMPF), Archival Records Requests.
We searched the National Archives Catalog and located the World War II Operations Reports, 1940-1948 in the Records of the Adjutant General's Office, 1917 - 1985 (Record Group 407) that includes general orders of the 10th Mountain Division and its component units during WWII. These general orders may include one awarding the Purple Heart to Richard Jaeger. Please note that if the award was given by his regiment or battalion instead of in a division level order, you may need to know which specific unit to which he was assigned. Also, purple hearts were often awarded by hospitals rather than the unit to which that soldier was normally assigned. As noted by Ms. Sharik, purple heart orders typically consist of a list of soldiers awarded the medal on a given date. They do not provide information about the nature of the injury or the event leading to the injury. For more information about these non-digitized records, please contact the National Archives at College Park - Textual Reference (RDT2) via email at email@example.com.
Due to the COVID-19 pandemic and pursuant to guidance received from the Office of Management and Budget (OMB), NARA has adjusted its normal operations to balance the need of completing its mission-critical work while also adhering to the recommended social distancing for the safety of NARA staff. As a result of this re-prioritization of activities, you may experience a delay in receiving an initial acknowledgement as well as a substantive response to your reference request from RDT2. Also, NPRC will continue servicing requests ONLY associated with medical treatments, burials, homeless veterans seeking admittance to a homeless shelter, and those involving the VA Home Loan program. If your request is urgent, please see Emergency Requests and Deadlines. Please refrain from submitting non-emergency requests such as replacement medals, administrative corrections, or records research until NPRC returns to pre-COVID staffing levels. Please check archives.gov/veterans for updates to the NPRC operating hours and status. We apologize for this inconvenience and appreciate your understanding and patience.
We hope this is helpful. Best of luck with your research!