Hi agree with that. This could be linked to #94.
You can go even further and add a complete set of information per implementation.
Herebelow the additional information that could be displayed:
Payload:
Custom claim support
Unencoded payload support (see RFC7797)
Signature algorithms:
PS256, PS384, PS512
EdDSA (Ed25519 amd Ed448 curves). See RFC8037
Key Encryption algorithms:
RSA1_5, RSA-OAEP, RSA-OEAP-256
A128KW, A192KW, A256KW
dir
ECDH-ES (P-256, P-384, P-521, X25519 and X448 curves)
ECDH-ES+A128KW, ECDH-ES+A192KW, ECDH-ES+A256KW
A128GCMKW, A192GCMKW, A256GCMKW
PBES2-HS256+A128KW, PBES2-HS384+A192KW, PBES2-H512+A256KW
Content Encryption Algorithms:
A128CBC-HS256, A192CBC-HS384, A256CBC-HS512
A128GCM, A192GCM, A256GCM
Compression Support:
DEF
Keys
JWK
JWKSet
As requested in #354