the numbers 5960-892-3417 and 5960-503-4034 are National Stock Numbers. But, these may be obsolete, I can't find them in several sites that supposedly list NSNs.
You were on the right track. Because you mentioned that the "62" meant 1962, come to find out the stock number uses the older Federal Stock Number (FSN.):
https://en.wikipedia.org/wiki/Federal_Stock_Number"5960" is the Federal Supply Classification Group (FSCG) code. The remaining seven digits are serial numbers.
After the NSN replaced the FSN, one can possibly re-format the FSN to fit the NSN's format in case there were leftover inventory that had to be moved to the new system:
NSN 5960-00-892-3417 and 5960-00-503-4034
And sure enough, they work!
https://www.iso-group.com/Public/Search_Results.aspx?ss=5960-00-892-3417https://www.iso-group.com/Public/Search_Results.aspx?ss=5960-00-503-4034NSN 5961-00-503-4034, 5961005034034
SEMICONDUCTOR DEVICE,DIODE
Federal Supply Classification: FSC 5961 - Semiconductor Devices and Associated Hardware
National Item Identification Number: NIIN 005034034
Codification Country: United States
Item Name Code: INC 20589
Criticality
(X) This item does not have a nuclear hardened feature or any other critical feature such as tolerance, fit restriction or application.
Hazardous Material Indicator Code
(N) There is no data in the HMIRS and the NSN is in an FSC not generally suspected of containing hazardous materials.
So searching by the NIIN, it appears that this part is a 1N279. Based on what has been posted earlier, does 1N279 sound about right?
It would be really cool if we come to find out that this part was meant to be used in some NASA equipment. 1962 was around the time the Apollo AGC was being engineered and built, and the core rope memory used these kinds of components.