The magnetic penetration depth ($lambda$) as a function of applied magnetic field and temperature in SrPt$_3$P($T_csimeq8.4$ K) was studied by means of muon-spin rotation ($mu$SR). The dependence of $lambda^{-2}$ on temperature suggests the existence of a single $s-$wave energy gap with the zero-temperature value $Delta=1.58(2)$ meV. At the same time $lambda$ was found to be strongly field dependent which is the characteristic feature of the nodal gap and/or multi-gap systems. The multi-gap nature of the superconduicting state is further confirmed by observation of an upward curvature of the upper critical field. This apparent contradiction would be resolved with SrPt$_3$P being a two-band superconductor with equal gaps but different coherence lengths within the two Fermi surface sheets.
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