[nonameiguess]

I don't think this was a real myth. This was an X-Files episode in which a clay pot that has been molded while Jesus was ordering Lazarus to rise from the dead could be used to bring other people back from the dead by playing back the recording. If I'm remembering correctly, even in X-Files this was actually a hoax.

[jshprentz]

That X-Files episode may have been inspired by "Time Shards" [1] by Gregory Benford, a short story first published in 1979.

TLDR: Too late to be included in the bi-millenium vault, a Smithsonian researcher discovers an audio recording accidentally inscribed on a c. 1280 pot by a pointy tool cutting a decorative spiral. After listening to the banal conversation recorded on the pot, the researcher wonders about the contents of the vault to be opened in a thousand years: “What makes you think we’ve done any better?”

[1] https://www.lightspeedmagazine.com/fiction/time-shards/

[dcminter]

As so often, Daedalus (David E H Jones) got there first with one of his semi-humorous articles in New Scientist in 1969 - one of those collected in "The Inventions of Daedalus" in 1982.