As I understand it, the indefinite article "a" cannot be used before the word "current". "A current ..." doesn't make sense to me. We say "the next" and "the previous", so we should say "the current", that's it.
Regardless of which info category is selected on the Status bar menu, at any time you can click and hold on the Status bar to learn the dimensions, number of channels, color mode, bit depth, and resolution of the current document.
Photoshop CC: Visual QuickStart Guide
But nevertheless it is used in this way sometimes. Is it grammatical? If yes, then how it works?
Expired or superseded documents. The only exception to this are Academic Regulations, where versions from previous years are still available via Governance Zone. In all other cases, to consult a previous version of a current document or an expired document, please contact us.
If you are lodging directly with us, each applicant and their spouse/partner must provide a copy (not the original) of a current document from each of the four categories (i.e. four documents per person). A single document cannot be used for more than one category.