And you can do activation analysis, where you activate the ingot with neutron radiation such that Gold isotopes form and decay. You then measure the decay gamma radiation spectrum and look for decay lines that are not gold but another material. This is non-destructive, but will make that ingot slightly radioactive for a while, but nothing that a few weeks of patience to wait for the decay can't fix.
Oh, and nuclear magnetic resonance (NMR) spectra would also work, but usually those machines are for very small samples in the milligram region. No idea whether there are some that could fit a gold ingot.