By looking at the documentation B31 stands for oscilloscope use, so it will have the matrix printed. That narrows it a bit. But apart from that I cannot find anything else. No mention to E8365.
On ebay I have seen several B31's. bit without knowing the specs I can't tell for sure if they interchange.
The P
31 suffix (in this case, apparently Hitachi uses
B instead of the more common
P) is simply the phosphor type. P31 phosphor (WTDS type GH) was originally registered by Mullard in March of 1960. The
G indicates "
Bluish-green, green or yellowish-green" and the
H indicates "
Hitachi" in the WTDS phosphor designations. P31 is formulated from Zinc sulfide with copper.
Many tubes were made with multiple different phosphor options, for example, some tube might be available in both P1 (old-school, original bright green) and P4 (the standard for B&W television for many, many years,) etc.
The part you care about is the actual type number and for this tube, since it is a scope tube, it will only be available with scope-specific (higher speed, lower persistence) phosphors. The Hitachi datasheet you linked to says they only ever made it in P31, but if you look at others on those lists, you will see that some are available in multiple different phosphors.
Unfortunately, due to the limited number of tubes produced for applications like scopes, you're only likely to find one from another scope being parted out or something... and unlike the very early days where many different scope tubes could be used with the same basic, simple circuits, more modern scopes had tubes that were very application-specific, so you won't be able to interchange very far from the exact original type.
Good luck, though!