Pulsate allows you to get callbacks every time a badge number update happens. All you need to do is implement the PULPulsateBadgeDelegate.

Example Usage with Objective-C:
In your AppDelegate.h add the following code

@interface AppDelegate : UIResponder <UIApplicationDelegate, PULPulsateBadgeDelegate>

In your AppDelegate.m

- (void)badgeUpdated:(NSInteger)badgeNumber {

}

-(void) badgeDecrementBy:(NSInteger)badgeDecrement totalCount:(NSInteger)badgeNumber {
    
}

-(void) badgeIncrementBy:(NSInteger)badgeIncrement totalCount:(NSInteger)badgeNumber {
    
}

Also in your AppDelegate in the didFinishLaunchingWithOptions method add the following code

(BOOL)application:(UIApplication *)application didFinishLaunchingWithOptions:(NSDictionary *)launchOptions {
    PULPulsateManager* manager = [PULPulsateFactory getDefaultInstance];
    manager.badgeDelegate = self;
    return YES;
}

Example usage in Swift:
In your AppDelegate.swift

import UIKit
import CoreData
import PULPulsate

@UIApplicationMain
class AppDelegate: UIResponder, UIApplicationDelegate, PULPulsateBadgeDelegate {
	
  var window: UIWindow?
    
  func badgeUpdated(_ badgeNumber: Int) {
  }
    
  func badgeDecrement(by badgeDecrement: Int, totalCount badgeNumber: Int) {
  }
    
  func badgeIncrement(by badgeIncrement: Int, totalCount badgeNumber: Int) {
  }
    
  
  func application(_ application: UIApplication, didFinishLaunchingWithOptions launchOptions: [UIApplicationLaunchOptionsKey: Any]?) -> Bool 
  {
      do {
          let authData: PULAuthorizationData = try PULAuthorizationData(appId: "APP_ID", andAppKey: "APP_KEY")
            
          let pulsateManager = try PULPulsateFactory.getInstanceWith(authData, withLocationEnabled: true, withPushEnabled: true, withLaunchOptions: launchOptions)
          pulsateManager.badgeDelegate = self;           
      } catch {
          print(error)
      }

      return true
    }
}

To get an updated badge from Pulsate you can use the "getBadgeCount" method. This method will send a request to Pulsate servers to get the current badge count. The badge count will be returned in the PULPulsateBadgeDelegate badgeUpdated callback.