We report the first observational search for tau neutrinos (ντ) from gamma-ray bursts (GRBs) using one of the Ashra light collectors. The Earth-skimming ντ technique of imaging Cherenkov τ showers was applied as a detection method. We set stringent upper limits on the ντ fluence in PeV-EeV region for 3780s (between 2.83 and 1.78hr before) and another 3780s (between 21.2 and 22.2hr after) surrounding GRB081203A triggered by the Swift satellite. This first search for PeV-EeV ντ complements other experiments in energy range and methodology, and suggests the prologue of "multi-particle astronomy" with a precise determination of time and location.
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