In principle, to harden steels with normal range of carbon content (should include this rod), heat to 'clear red' / 'bright cherry' and cool fast. Very cold clean water is fine. The steel will now be hard and brittle. Don't leave it to cool gradually - you'll just have annealed it and it could be softer than when you started. Clear red means between 'dull red' and bright red/orange. Dull red, or less, won't do it properly, and anything from bright red/orange to white heat will destroy the grain, which becomes very coarse. To see the whole range of colours, it's worth using a bit of scrap to note the differences before attacking the thing that matters. Stuff like Trev's 'Hardite' is probably an easier row to hoe though.
Test for hardness when you've done it, with a file - if it's hard, the file won't bite.
A decent blowlamp - one of those 'turbo' plumber's ones for example - will do a little job fine. So should a propane torch.
For this sort of thing it may not be necessary owing to the nature of the modest compression load it will take (others here will know), but I would also temper it - to remove the brittleness. To do that, clean the thing up till it's bright and shiny again, and then gently reheat until the colour of the metal goes to 'pale yellow' or, a tad hotter, 'light straw' (pale yellow is c. 430F or 220C) - then cool the piece the same as before. The hotter you reheat it, the more of the hardness is lost. If you reheat it to 'black', then all the hardness will have gone.
All sounds like alchemy, I know, but in fact the process is only the work of a few minute from start to finish.
The vintage reference source I use for a lot of this sort of basic stuff is 'Elements of Machine Work' a Classic Trade School Textbook by Robert H Smith, published by Massachusetts Institute of Technology as recently as 1910! It and a few other similar books are darn useful as well as interesting, and the info still holds good except in relation to some modern materials . For example, doesn't say much about hardening agents and the name 'Stellite' isn't even in the index! Groily