An audio file format that is to PCM what SVG is to bitmap: resolution-independent, mathematically defined, and inherently manipulable. Instead of storing discrete amplitude samples, store mathematical curve definitions (Bézier/B-spline control points) that describe the sound.
Raw PCM waveforms are too complex for efficient curve fitting. But if you first decompose audio via sinusoidal modeling (SMS — Serra & Smith, 1990), the resulting parameter trajectories (frequency, amplitude over time) are smooth, slowly-varying curves — exactly what Bézier curves represent efficiently.