A transformed version of 'Hello World' AWS SAM template (see original version here: https://gist.github.com/toricls/7d078e6d25515f26b73bfa3a6f4f0ec5)

transformed.yaml

AWSTemplateFormatVersion: '2010-09-09'
Description: A hello world application.
Resources:
  HelloWorldFunctionRole:
    Type: 'AWS::IAM::Role'
    Properties:
      ManagedPolicyArns:
        - 'arn:aws:iam::aws:policy/service-role/AWSLambdaBasicExecutionRole'
      AssumeRolePolicyDocument:
        Version: 2012-10-17
        Statement:
          - Action:
              - 'sts:AssumeRole'
            Effect: Allow
            Principal:
              Service:
                - lambda.amazonaws.com
  HelloWorldFunction:
    Type: 'AWS::Lambda::Function'
    Properties:
      Code:
        S3Bucket: xxxxxxxxxxxxxxxxxx
        S3Key: 2a32fe99ed081c4bc95433eeabc76bce
      Handler: index.handler
      Role: !GetAtt 
        - HelloWorldFunctionRole
        - Arn
      Runtime: nodejs6.10
      Tags:
        - Value: SAM
          Key: 'lambda:createdBy'
  ServerlessRestApiProdStage:
    Type: 'AWS::ApiGateway::Stage'
    Properties:
      DeploymentId: !Ref ServerlessRestApiDeployment47fc2d5f9d
      RestApiId: !Ref ServerlessRestApi
      StageName: Prod
  ServerlessRestApiDeployment47fc2d5f9d:
    Type: 'AWS::ApiGateway::Deployment'
    Properties:
      RestApiId: !Ref ServerlessRestApi
      Description: 'RestApi deployment id: 47fc2d5f9d21ad56f83937abe2779d0e26d7095e'
      StageName: Stage
  ServerlessRestApi:
    Type: 'AWS::ApiGateway::RestApi'
    Properties:
      Body:
        info:
          version: '1.0'
          title: !Ref 'AWS::StackName'
        paths:
          /hello:
            get:
              x-amazon-apigateway-integration:
                httpMethod: POST
                type: aws_proxy
                uri: !Sub >-
                  arn:aws:apigateway:${AWS::Region}:lambda:path/2015-03-31/functions/${HelloWorldFunction.Arn}/invocations
              responses: {}
        swagger: '2.0'
  HelloWorldFunctionGetResourcePermissionTest:
    Type: 'AWS::Lambda::Permission'
    Properties:
      Action: 'lambda:invokeFunction'
      Principal: apigateway.amazonaws.com
      FunctionName: !Ref HelloWorldFunction
      SourceArn: !Sub 
        - >-
          arn:aws:execute-api:${AWS::Region}:${AWS::AccountId}:${__ApiId__}/${__Stage__}/GET/hello
        - __Stage__: '*'
          __ApiId__: !Ref ServerlessRestApi
  HelloWorldFunctionGetResourcePermissionProd:
    Type: 'AWS::Lambda::Permission'
    Properties:
      Action: 'lambda:invokeFunction'
      Principal: apigateway.amazonaws.com
      FunctionName: !Ref HelloWorldFunction
      SourceArn: !Sub 
        - >-
          arn:aws:execute-api:${AWS::Region}:${AWS::AccountId}:${__ApiId__}/${__Stage__}/GET/hello
        - __Stage__: Prod
          __ApiId__: !Ref ServerlessRestApi