UB is an expert and was asking for a definitive answer. The resulting lively discussion covered the terms and also their use and abuse by the industry. The last word and as good a definition as emerged was as follows fromu CK:
Note that the Glenfiddich, while definitely being a Single Malt (from one distillery), is labeled "Pure Malt". There are also other examples of Single Malts labeled such. Apparently, in the past it was much more common to label Single Malts as Pure Malts, maybe because of the fact that the word "Pure" also projects some image of natural, unadulterated, unfiltered, etc... into the minds of the (average, [novice]) consumer whereas the word "Single" might not have that much positive association. Unfortunately, since it is possible to also label Vatted Malts as "Pure", this is now quite common. E.g. The Bennachie (before the company turned belly-up), where the label of that Whisky was at one time changed from "Vatted Malt" to "Pure Malt". Fortunately, it can be safely assumed that the market share for Vatted Malt is almost negligible as compared to either blends or mass-marketed Single Malts such as Glenfiddich or Glen Grant. In addition, there are now some more denominators not very clearly defined, but more-or-less used by consensus.
These are a good definition of what the terms should and usually do mean. Some bottlers however use 'pure' and 'vatted interchangeably and occasionally use 'pure' instead of 'single'. Caveat emptor. [jhb]