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Description
We've had a few requests (#86, #186, #230) to support decrypting messages using a public key. Though this should be straightforward using any encryption padding as it's the reciprocal operation to public-key encryption, the desired operation in this case seems to be "signcryption", i.e. the public-key equivalent to authenticated encryption. See this comment for more information.
Bellare and Rogaway described a construction specifically for this purpose as an extension of RSASSA-PSS: Probabilistic Signature Scheme with Recovery (PSS-R) as described in Section 5 of: https://web.cs.ucdavis.edu/~rogaway/papers/exact.pdf
(it's also known as EMSR-PSS as described in section 1.2 of this paper)
There are also a few other such schemes, such as ISO/IEC 9796-1 and 9796-2.
IEEE P1363 describes a specification for PSS-R.