First the query

fragment OnProject on Project {
    id
    name
    columns(first: 100) {
        nodes {
            name
            id
            cards(first: 100, archivedStates: NOT_ARCHIVED) {
                nodes {
                    content {
                        __typename
                        ... OnIssue
                        ... OnPullRequest
                    }
                }
            }
        }
    }
}
fragment OnIssue on Issue {

id

title

number

state

}
fragment OnPullRequest on PullRequest {

id

title

number

state

}
query ProjectBoard($id: ID!) {

node(id: $id) {

... OnProject

}

}

And the mutation.

mutation MoveCardToColumn($card_id: ID!, $column_id: ID!) {
    moveProjectCard(input: {cardId: $card_id, columnId: $column_id}) {
        clientMutationId
        cardEdge {
            node {
                column {
                    name
                }
            }
        }
    }
}

When I call the mutation with a cardId from the fragment of ‘MDU6SXNzdWU0NjMzMDM4OTE=’, the GraphQL API endpoint returns 

{'data': {'moveProjectCard': None},
 'errors': [{'type': 'NOT_FOUND', 'path': ['moveProjectCard'], 'locations': [{'line': 3, 'column': 9}], 'message': "Could not resolve to ProjectCard node with the global id of 'MDU6SXNzdWU0NjMzMDM4OTE='."}]}