Copier la clé ssh sur une autre machine afin que je puisse utiliser GitHub là-bas?

J'ai un serveur distant. Je peux déjà ssh avec succès sur ce serveur distant - ma clé est dans authorized_keys sur le serveur distant.

Maintenant, je veux tirer de GitHub directement sur ce serveur distant. Mais je reçois permission denied (publickey) lorsque j'essaie ssh -T git@github.com sur le serveur distant.

Dois-je copier id_rsa.pub directement de ma machine locale sur le serveur distant, ou est-ce dangereux?

Si c'est la réponse, quelle est la meilleure façon de le faire?

Ou devrais-je générer un nouvelle clé publique sur le serveur distant et ajoutez-la à mon compte github ?

MISE À JOUR :

Voici la sortie d'un ssh verbeux :

~$ ssh -Tv git@github.com
OpenSSH_6.0p1 Debian-4+deb7u2, OpenSSL 1.0.1e 11 Feb 2013
debug1: Reading configuration data /etc/ssh/ssh_config
debug1: /etc/ssh/ssh_config line 19: Applying options for *
debug1: Connecting to github.com [192.30.252.131] port 22.
debug1: Connection established.
debug1: identity file /home/richard/.ssh/id_rsa type -1
debug1: identity file /home/richard/.ssh/id_rsa-cert type -1
debug1: identity file /home/richard/.ssh/id_dsa type -1
debug1: identity file /home/richard/.ssh/id_dsa-cert type -1
debug1: identity file /home/richard/.ssh/id_ecdsa type -1
debug1: identity file /home/richard/.ssh/id_ecdsa-cert type -1
debug1: Remote protocol version 2.0, remote software version libssh-0.6.0
debug1: no match: libssh-0.6.0
debug1: Enabling compatibility mode for protocol 2.0
debug1: Local version string SSH-2.0-OpenSSH_6.0p1 Debian-4+deb7u2
debug1: SSH2_MSG_KEXINIT sent
debug1: SSH2_MSG_KEXINIT received
debug1: kex: server->client aes128-ctr hmac-sha1 none
debug1: kex: client->server aes128-ctr hmac-sha1 none
debug1: sending SSH2_MSG_KEX_ECDH_INIT
debug1: expecting SSH2_MSG_KEX_ECDH_REPLY
debug1: Server host key: RSA 16:27:ac:a5:76:28:2d:36:63:1b:56:4d:eb:df:a6:48
debug1: Host 'github.com' is known and matches the RSA host key.
debug1: Found key in /home/richard/.ssh/known_hosts:1
debug1: ssh_rsa_verify: signature correct
debug1: SSH2_MSG_NEWKEYS sent
debug1: expecting SSH2_MSG_NEWKEYS
debug1: SSH2_MSG_NEWKEYS received
debug1: Roaming not allowed by server
debug1: SSH2_MSG_SERVICE_REQUEST sent
debug1: SSH2_MSG_SERVICE_ACCEPT received
debug1: Authentications that can continue: publickey
debug1: Next authentication method: publickey
debug1: Trying private key: /home/richard/.ssh/id_rsa
debug1: Trying private key: /home/richard/.ssh/id_dsa
debug1: Trying private key: /home/richard/.ssh/id_ecdsa
debug1: No more authentication