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Following the discovery of high-energy (HE; $E>10\,{\rm MeV}$) andvery-high-energy (VHE; $E>100\,{\rm GeV}$) $\gamma$-ray emission from thelow-frequency-peaked BL~Lac (LBL) object AP Librae, its electromagneticspectrum is studied over 60 octaves in energy. Contemporaneous data in radio,optical and UV together with the $\gamma$-ray data are used to construct themost precise spectral energy distribution of this source. The data have beenfound to be modeled with difficulties with single zone homogeneous leptonicsynchrotron self-Compton (SSC) radiative scenarios due to the unprecedentedwidth of the high-energy component when compared to the lower-energy component.The two other LBL objects also detected at VHE appear to have similar modelingdifficulties. Nevertheless, VHE $\gamma$ rays produced in the extended jetcould account for the VHE flux observed by H.E.S.S.

From Radio to TeV: The surprising Spectral Energy Distribution of AP Librae