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The largest uncertainty in calculations of hydrogen ground-state hyperfinesplitting comes from corrections due to proton stucture. We review thesecorrections, with special mention of the inelastic, or polarizability,corrections which have been recently re-evaluated. Summing up the arguably bestcurrent values for the calculated corrections leaves us 1-2 ppm short of theexperimental data. We speculate how one may explain this shortfall, and alongthe way broadly outline the derivations of the relevant formulas, attempting toexplain how certain terms come to appear and commenting on the use ofunsubtracted dispersion relations.

Proton Structure Corrections to Hydrogen Hyperfine Splitting