Problem with claims in SAML

Hi,

   I created custom claims provider and register it as SPTrustedIssuer. I can search and resolve users in People Picker and it seems to work fine but I found problem with provider name prefix in scenario like this:

1. When I login to Sharepoint I got display name for user like this: 07.t|provider_name|user1

2. When I search for that user in People Picker in right source (the same IP-STS) I got prefix like this:

c:07.c|provider_name|user1

So it looks like I have two different users ? I thought it is the same one ? I tried set permission for found user (c:07.c|provider_name|user1)and it doesn't work when I am login as 07.t|provider_name|user1.

Thanx for any help!