I like to think of it more like a scale. Some things are closer to being invented, other things are closer to being discovered.

I'd say we've discovered pi, and the fractional quantum Hall effect[1]. And I'd say we've invented low-density parity-check codes[2] and single-photon avalanche diodes[3].

[1]: https://en.wikipedia.org/wiki/Fractional_quantum_Hall_effect

[2]: https://en.wikipedia.org/wiki/Low-density_parity-check_code

[3]: https://en.wikipedia.org/wiki/Single-photon_avalanche_diode