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We discovered fine-scale structure within the scattering disk of PSR B0329+54in observations with the RadioAstron ground-space radio interferometer. Here,we describe this phenomenon, characterize it with averages and correlationfunctions, and interpret it as the result of decorrelation of theimpulse-response function of interstellar scattering between thewidely-separated antennas. This instrument included the 10-m Space RadioTelescope, the 110-m Green Bank Telescope, the 14x25-m Westerbork SynthesisRadio Telescope, and the 64-m Kalyazin Radio Telescope. The observations wereperformed at 324 MHz, on baselines of up to 235,000 km in November 2012 andJanuary 2014. In the delay domain, on long baselines the interferometricvisibility consists of many discrete spikes within a limited range of delays.On short baselines it consists of a sharp spike surrounded by lower spikes. Theaverage envelope of correlations of the visibility function show twoexponential scales, with characteristic delays of $\tau_1=4.1\pm 0.3\ \mu{\rms}$ and $\tau_2=23\pm 3\ \mu{\rm s}$, indicating the presence of two scales ofscattering in the interstellar medium. These two scales are present in thepulse-broadening function. The longer scale contains 0.38 times the scatteredpower of the shorter one. We suggest that the longer tail arises fromhighly-scattered paths, possibly from anisotropic scattering or fromsubstructure at large angles.

PSR B0329+54: Statistics of Substructure Discovered within the Scattering Disk on RadioAstron Baselines of up to 235,000 km