>   ..> kpsewhich pdftex.map
> 
> gives no result. `pdftex' can find pdftex.map! Why not `kpsewhich'?

kpsewhich wrongly guesses the file type:

  $ KPATHSEA_DEBUG=-1 kpsewhich pdftex.map 2>&1 | grep 'Search path for' | tail -1
  kdebug:Search path for map files (from texmf.cnf)

Let us try to find out what pdftex uses to find pdftex.map:

  $ echo '\relax 42\end' | KPATHSEA_DEBUG=-1 pdftex 2>&1 | egrep '(Search path 
for|pdftex.map)' | sed '/file=pdftex.map/q' | tail -2 | head -1
  kdebug:Search path for PostScript header files (from texmf.cnf)

Ok, now we know what to do:
  kpsewhich --format='PostScript header' pdftex.map

Thomas

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