`RSAKey.as_dict` returns a private key instead of a public one

[Fatal1ty]

I'm not sure I'm doing it right but if I generate RSA key and print its private and public parts thay will be the same. So, public part will have the RSA private key's private exponent "d" among other parameters which I think might a critical bug if someone rely on it.

import json
from joserfc.jwk import RSAKey

jwk = RSAKey.generate_key(2048, auto_kid=True)
print(json.dumps(jwk.as_dict(is_private=False), indent=2))
print(json.dumps(jwk.as_dict(is_private=True), indent=2))

The resulting JSON objects will have difference only in the "is_private" key:

{
  "n": "lsXCya0bi5fATV6-bV2ZQa2RFtM0S4ldX94aj-ZzmpritU-06Qx5XahjhZkRDgdZC9BTzZiaKJMh_thaRE2NX716_t4kkA96MmuS_zVupcvTh2TzXAsTmZlCUbqtagWj6rNJrbGPmxPYizwOKIutQMc0fitT9490DS61mCfC5xbCCdG7noGYPuJsjDQQRySwazZxuVNy1gQbbn_8FFINuzeWS7h_7BB28Z7uIrBsTION4yJZ90QzvXmR3MDeG7qHh5hT3ejYkIpHsyYJGtnybeQew4bDvFPtylXab3bN7YDH9lPmAoe2UJAf4MpAm-dEdLQpr9cmTb47Vob2a4LCsw",
  "e": "AQAB",
  "d": "BzP9gVsW1M10L34WRO1S1BNxuhBvECjI4DqhNDzDSyCZMiZTs0qYRcQ0tP5CFVR-iZTzXAAtZUDaP-2gKmE2HtvTk3eTcZp7sQr4o96uoZciTPaitcQFtLHgvDzZ6hXI5f6Yx4aTIMqK7uP4nTFHHrAlrt1tDoe4-KRBorpLknSuDqGcBit-MFy5_2r5Qge7VDsXsNncDR1CvvLouOJk-b1WJLNlNqtGgJlQzFlW2UNvQ4kUCIc2lbdGqLJw80WSCbr9qklgpddkU-r1NBpX1mCjI6peDSrhlfMmNT6cyN2OlDPXn2_7eAq8YVGiBiJnXP5nABriOBz-6uy__LzTcQ",
  "p": "1Cfjha3DkE9KTOxrHRuLbpQQ7f9KMZpFj-kdep1IVaxqCx_ZZxIRqFfFVCwY_Kg5AfeCmxkjd8K_WBR_vNmho-mmTx84FNNg4xXKFVReE8HJwtiaR1hqs123huPdx-UTzQlm049TFqBDkaHckRqCZJRi9_EDo1xFopE1VVVKSkk",
  "q": "te5iwE0si5YSFaMju7wTIu_i4lTEvtLRHdwU8IQcSmcU2b4Z-TQ4w1P1H4J6ESf8_ft1Q5nq193LcnI7RZWdz3qKJaw1Y7syNahKxafxCoUlHAk3Z2pLSEGND7tHv616MH_7uNCceHDAn-bzTJdacy5BqOoWnMfWDKKts5tthRs",
  "dp": "BSQCS1buiiyhrEN-RPJJ6qAD2QB6l8EZNmd7o2D0Q78twp8-8VRqwR1_Vo7K_DRHTVjl_UQaq-g4IrY8ciMD26jpsrka7sZAbsA0aVfl_6yOav48nsXxr-7xZ39V_GX8mNdFepLafI3dlUXKxmlSB4Xg8AkTAX5W4Z2LIUozxqE",
  "dq": "AUE3pSPjHsNWNJf_cxgE-cS1x-HVyYsirhYKfu4qU8kKN8Y736AglBhMJH994AhqkkXdtS2mlP6OnKd1CTHS-M9bjI73f0yXOA-FFH_oBa6NZvgZTblJ86GgG2-rOwMzSIpZbhjiO2Jrsa6iFvEkSo8THNsgdMxcCZJFqGt2Aek",
  "qi": "RRo5Yfb5qMhnWqU2A9C0E6AvrxCtML2vDjsGwFqfVh8ZhtazvdVZc82AfVFQlC--iVz1SCUKUlz-PTAzzPAUdjU8yCFt2wREGgRWYAVvaR980cBKX1lM2mqrEJhJICdzK6tyzruHm4XNv97b5-rAmqF0oboloWXpkQS901970TY",
  "kty": "RSA",
  "kid": "tL5L8s0SM4Gs6TKpDFnoT-8unf0MIsnV4Jd0AbWFlKk",
  "is_private": false
}

{
  "n": "lsXCya0bi5fATV6-bV2ZQa2RFtM0S4ldX94aj-ZzmpritU-06Qx5XahjhZkRDgdZC9BTzZiaKJMh_thaRE2NX716_t4kkA96MmuS_zVupcvTh2TzXAsTmZlCUbqtagWj6rNJrbGPmxPYizwOKIutQMc0fitT9490DS61mCfC5xbCCdG7noGYPuJsjDQQRySwazZxuVNy1gQbbn_8FFINuzeWS7h_7BB28Z7uIrBsTION4yJZ90QzvXmR3MDeG7qHh5hT3ejYkIpHsyYJGtnybeQew4bDvFPtylXab3bN7YDH9lPmAoe2UJAf4MpAm-dEdLQpr9cmTb47Vob2a4LCsw",
  "e": "AQAB",
  "d": "BzP9gVsW1M10L34WRO1S1BNxuhBvECjI4DqhNDzDSyCZMiZTs0qYRcQ0tP5CFVR-iZTzXAAtZUDaP-2gKmE2HtvTk3eTcZp7sQr4o96uoZciTPaitcQFtLHgvDzZ6hXI5f6Yx4aTIMqK7uP4nTFHHrAlrt1tDoe4-KRBorpLknSuDqGcBit-MFy5_2r5Qge7VDsXsNncDR1CvvLouOJk-b1WJLNlNqtGgJlQzFlW2UNvQ4kUCIc2lbdGqLJw80WSCbr9qklgpddkU-r1NBpX1mCjI6peDSrhlfMmNT6cyN2OlDPXn2_7eAq8YVGiBiJnXP5nABriOBz-6uy__LzTcQ",
  "p": "1Cfjha3DkE9KTOxrHRuLbpQQ7f9KMZpFj-kdep1IVaxqCx_ZZxIRqFfFVCwY_Kg5AfeCmxkjd8K_WBR_vNmho-mmTx84FNNg4xXKFVReE8HJwtiaR1hqs123huPdx-UTzQlm049TFqBDkaHckRqCZJRi9_EDo1xFopE1VVVKSkk",
  "q": "te5iwE0si5YSFaMju7wTIu_i4lTEvtLRHdwU8IQcSmcU2b4Z-TQ4w1P1H4J6ESf8_ft1Q5nq193LcnI7RZWdz3qKJaw1Y7syNahKxafxCoUlHAk3Z2pLSEGND7tHv616MH_7uNCceHDAn-bzTJdacy5BqOoWnMfWDKKts5tthRs",
  "dp": "BSQCS1buiiyhrEN-RPJJ6qAD2QB6l8EZNmd7o2D0Q78twp8-8VRqwR1_Vo7K_DRHTVjl_UQaq-g4IrY8ciMD26jpsrka7sZAbsA0aVfl_6yOav48nsXxr-7xZ39V_GX8mNdFepLafI3dlUXKxmlSB4Xg8AkTAX5W4Z2LIUozxqE",
  "dq": "AUE3pSPjHsNWNJf_cxgE-cS1x-HVyYsirhYKfu4qU8kKN8Y736AglBhMJH994AhqkkXdtS2mlP6OnKd1CTHS-M9bjI73f0yXOA-FFH_oBa6NZvgZTblJ86GgG2-rOwMzSIpZbhjiO2Jrsa6iFvEkSo8THNsgdMxcCZJFqGt2Aek",
  "qi": "RRo5Yfb5qMhnWqU2A9C0E6AvrxCtML2vDjsGwFqfVh8ZhtazvdVZc82AfVFQlC--iVz1SCUKUlz-PTAzzPAUdjU8yCFt2wREGgRWYAVvaR980cBKX1lM2mqrEJhJICdzK6tyzruHm4XNv97b5-rAmqF0oboloWXpkQS901970TY",
  "kty": "RSA",
  "kid": "tL5L8s0SM4Gs6TKpDFnoT-8unf0MIsnV4Jd0AbWFlKk",
  "is_private": true
}

On the other hand, the similar code with authlib works as expected:

import json
from authlib.jose.rfc7518.rsa_key import RSAKey

jwk = RSAKey.generate_key(2048, is_private=True)
print(json.dumps(jwk.as_dict(is_private=False), indent=2))
print(json.dumps(jwk.as_dict(is_private=True), indent=2))

{
  "n": "1I3j7VfBsmV6ZqCQ2HWeT3jNznkF7Tk_WrcqnhyUQ-wTlpOiA9PDdVZtYOaroUhLg2iRXuSaeJ9CNGeQmewfBEdZT9XXBowQLwk7CKBQPH-v9FcFTfEtR_jdeqXC1mnIxbo8Cw5PvaePEz5si6R2f9G6TUMY85SzmnZiR1gemsk6fZSNz4r0uG_QhQBJGFY9MB5PBGPnD8Who7ua3vnA9qzaU7oe-IVFUBzATezk4XeeafPONUQtIfCcxjISmVQNtgUPZk4QZ5VtjLI3xhS8l0YG_9uH7Z8Rf8MhRYHZ2ImjxT8Uh9I0EXfwsGgWL6mJB162L4U051Y9NcO3HiUo5w",
  "e": "AQAB",
  "kty": "RSA",
  "kid": "NTbgNmdFfOIShi2xU2BU9DakEhRfQpiD8eVSY_SM8ZU"
}

{
  "n": "1I3j7VfBsmV6ZqCQ2HWeT3jNznkF7Tk_WrcqnhyUQ-wTlpOiA9PDdVZtYOaroUhLg2iRXuSaeJ9CNGeQmewfBEdZT9XXBowQLwk7CKBQPH-v9FcFTfEtR_jdeqXC1mnIxbo8Cw5PvaePEz5si6R2f9G6TUMY85SzmnZiR1gemsk6fZSNz4r0uG_QhQBJGFY9MB5PBGPnD8Who7ua3vnA9qzaU7oe-IVFUBzATezk4XeeafPONUQtIfCcxjISmVQNtgUPZk4QZ5VtjLI3xhS8l0YG_9uH7Z8Rf8MhRYHZ2ImjxT8Uh9I0EXfwsGgWL6mJB162L4U051Y9NcO3HiUo5w",
  "e": "AQAB",
  "d": "P9HInWNLi8JvYXAVfYC3Q1pcxQFOd79IF_dGKwoetFQmP4BdVXPYTJtiJQWtg7P-xFp5x3mxLcV3rd9oqeadG35GwTNOKC-WzmChooHsBXY7QQx90by34VPGQEST_yfs-f1keNdXtvSf_2GvWrBLSi6RFxCt5bkAwkCIWq6JJeT4fAjNgJ2oB9WTKsF9Bc_Qy_fuAGUxaGOMXQ_1W-rMdLbnerlIhDOEUAQ4iVGbjxapc-ZQcwub2tD10YKdIuviPzr4eIOYf9R1qaIsb00Vzz02LBlBdQYarfTM4rhZphVCeypmssygQfw4FQyTh11S91LN8wAYsKvwbxAUIy3pbQ",
  "p": "7MgoZvoZCEjN-kuVM24GZ1i3Z6r9du0iwLNWN2VLeTtDPhou3xSToGkYbTjW0qKCfP6qRUriSLevLD_rT1pGTZAcOceszKXUJ4BN-JxtYVBff3nLMKnrdM6KhB1y4qhowyTbTuB9Wn3modwB3wHrppuD9989fv5S8NfcO08JiOs",
  "q": "5c5VHGNSNdgIyIBM0fwHRZd9C_ewCXRblpmGidy_i7vqTO2xiMPQ2lH09ZSehqX9_VrsiU7D3sa7R-o0l7VnSB5Lw8U6plvlOewNKIn9rM4XZTF-oxhH2XJ5qIougm69PBRrRHoV8Lt-s_vXxuRa_9JNkG_oA8AxaP0B2GjHYPU",
  "dp": "R5vQ_DOu1l6OTKAHI2Km9SJTdTq1JP5agES8UkyEIsnVcDai7jxe2Shvhril31XeeMbb39Dh1nQWuh8qnvkCQfrPTnogvFN6cefPrNxCCCgyeW7wEGuTFeRQ59uwHvQnmrzOxnAF-RQSZ-kNd9Aw4FYv9wrAomNv2f6uUBF7JLk",
  "dq": "HH2JJbzWi2BeLmVhoMLrL-CJGzu48mMfm7sq59qbULqaYLEzSm5kbTyt7uhfAvh_VbK5EojWVb8zpsXNgWV3CYTgBcRk8g0AjT7LntQExDDEy8HoHlY7SiUcGh4PiBIsmc86QUIViEPmgG_fn4PeGEs9XIPTMuvX9Fkxql_LICU",
  "qi": "PDOTe8PhEU7Op8YdPXf8NJYnU-fXyB1uKg2nnx0Jsnj1mJzQ_IgNk4ija5rW2XA43HcqdqruQwSj3JQqshfg4o6LfSk4pK2qxI1I-tRz8sZNPsTTzSIvJtOUzWY1-qMGZmZOMrUR9DBzcN2yxbL-DC9EcXH7phmsypQ3JQ0y2f8",
  "kty": "RSA",
  "kid": "NTbgNmdFfOIShi2xU2BU9DakEhRfQpiD8eVSY_SM8ZU"
}

[lepture]

https://jose.authlib.org/en/guide/jwk/

The parameter is "private=False"