可以使用 aws cdk 中的 aws-cdk-lib 包中的 aws_cdk.aws_s3_assets 和 aws_cdk.aws_s3 包来实现将状态保存到 S3 存储桶中，从而提供远程状态。

以下是一个示例：

from aws_cdk import core
from aws_cdk import aws_s3 as s3
from aws_cdk import aws_cognito as cognito
from aws_cdk import aws_cdk_lib as cdk

app = core.App()

remote_state_bucket = s3.Bucket(
    app, 'MyBucket',
    versioned=True,
)

# 创建状态存储桶
core.CfnOutput(
    app, 'MyBucketName',
    value=remote_state_bucket.bucket_name,
)

# 创建 Cognito 身份池
identity_pool = cognito.CfnIdentityPool(
    app, 'MyIdentityPool',
    allow_unauthenticated_identities=False,
)

# 访问策略
policy_document = policy_document={
    'Version': '2012-10-17',
    'Statement': [
        {
            'Effect': 'Allow',
            'Principal': {
                'Federated': 'cognito-identity.amazonaws.com',
            },
            'Action': 'sts:AssumeRoleWithWebIdentity',
            'Condition': {
                'StringEquals': {
                    'cognito-identity.amazonaws.com:aud': identity_pool.ref,
                },
                'ForAnyValue:StringLike': {
                    'cognito-identity.amazonaws.com:amr': 'authenticated',
                },
            },
        },
    ],
}

role = cognito.CfnIdentityPoolRoleAttachment(
    app, 'MyIdentityPoolRoleAttachment',
    identity_pool_id=identity_pool.ref,
    roles={
        'authenticated': cdk.Arn.format_arn(
            resource="MyRole",
            service="iam",
            region="",
            account="",
        ),
    },
)

# 输出角色
core.CfnOutput(
    app, 'MyRoleArn',
    value=role.attr_arn,
)

app.synth()