Should the same password, stored in MD5, be the same across different DBs?

If I did either:
create user SomeUser encrypted password 'SomePassword';
alter user SomeUser encrypted password 'SomePassword';

On multiple machines, should the MD5 be the same?
using
select rolname, rolpassword,rolcanlogin from pg_catalog.pg_authid where rolname = 'SomeUser';

Should the MD5 be the same?

I see one machine where a user has a different md5 but the password is the same as several other machines. In other words the MD5 is different, but the password is the same. Is that expected?

In other words say I have machine1... machine5 and I have user with password 'SomePassword' in 4 of the machines the MD5 is the same, but in (say for example) machine 2 the MD5 is different. Yet I can login to the user in that machine with 'SomePassword' as password.

Restoring from this "machine2" to another machine and none of the passwords worked.

Any pointers/ideas of what is going on?


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