biblatex: How to omit "p." at \cite?

Question

I'm using \cite[1]{A01}. The result is

Author 2001, p. 1

The desired result is

Author 2001, 1

How do I achieve that? I'm aware of biblatex: How to remove the parentheses around the year in authoryear style?, biblatex authoryear-icomp: How to change parenthesis to [asdf 1985], and Biblatex, author-year, square brackets but they're not exactly my issue.

Minimal example:

\documentclass{scrartcl}
\usepackage[backend=biber,style=authoryear-comp]{biblatex}

\usepackage{filecontents}
\begin{filecontents}{\jobname.bib}
@misc{A01,
  author = {Author, A.},
  year = {2001},
  title = {Alpha},
}
\end{filecontents}

\bibliography{\jobname.bib}

\begin{document}

\cite[1]{A01}

\end{document}

Answer 1

To omit the page prefix for all citations, add the following to your preamble:

\DeclareFieldFormat{postnote}{#1}
\DeclareFieldFormat{multipostnote}{#1}

(Actually, this is part of my rather verbose answer to Guidelines for customizing biblatex styles.)

To suppress the prefix for individual citations, use \nopp within the citation's optional argument (thanks to Gonzalo Medina for the tip):

\cite[\nopp 1]{A01}

Conversely, you may force single page prefixes with \pno and range prefixes with \ppno (note the unbreakable space after these commands):

\cite[\pno~1]{A01}
\cite[\ppno~1--4]{A01}

See sections 3.7.8 and 3.12.3 of the biblatex manual for details.