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We display a symmetric monoidal equivalence between the stable ∞-category of filtered spectra, and quasi-coherent sheaves on A 1 /Gm, the quotient in the setting of spectral algebraic geometry of the flat affine line by the canonical action of the flat multiplicative group scheme. Via a Tannaka duality argument, we identify the underlying spectrum and associated graded functors with pull-backs of quasi-coherent sheaves along certain morphisms of stacks.

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