Hello @Kumarasinghe and Jamf Nation,
I couldn't be more thrilled to update this ancient topic because I'm giving a presentation at JNUC 2017 on the inner workings of APNS. The "init" server is one of many different items that will be explained during the session.
The iOS or Mac device doesn't query the init server after every network transition, but it does appear to check init at least once every 24 hours.
A simple Wireshark packet capture reveals that the Mac daemon apsd will perform an HTTP/1.1 GET from this URL over standard http:
http://init-p01st.push.apple.com/bag
This downloads a file called "bag" to the computer. It's a plain-text Property List (.plist) file with file with three keys, whose contents are also base64-encoded. The keys are named as follows: key, certs, and bag.
<?xml version="1.0" encoding="UTF-8" standalone="yes"?>
<!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd">
<plist version="1.0">
<dict>
<key>signature</key>
<data>fn4uYs7OGTxe1dFgQqPAFGrhIlJouk1qURhL4f2lMEvUE2ObzG7DyO1gS9+bMc1vCoi69IPlf7EFOd0MsBk5aIGAPkn9kEMUSy4y0luO6HGNynGwQmpU0WhbcoGLieJVgsD7S4vs5I2C75EST/+0qir81kQYkYdSwSi0Sh5wV1kUDNPHKGX9/SIVUN8QwaVan0RhgNUT4V1eqQl1XlZkyXud3e80Q09stv+e4cee0x9YrpQXxXd5Qzl1brpNJn+B1gvMGj9iI04MBlMkozl1Mu22lhiVPsUU4YqYzUlqwkHQNkegyfoDRrO5U8mrDtdXeRu1r2lL1ld/4KoktSFCSw==</data>
<key>certs</key>
<array>
<data>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</data>
<data>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</data>
</array>
<key>bag</key>
<data>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</data>
</dict>
</plist>
The "key" is most likely a private key file.
The "certs" are standard SSL certs. One is issued by Apple; the other by Entrust.
The "bag" is a Base64-encoded property list file.
<?xml version="1.0" encoding="UTF-8" standalone="yes"?>
<!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd">
<plist version="1.0">
<dict>
<key>APNSCourierHostname</key>
<string>courier.push.apple.com</string>
<key>APNSCourierHostcount</key>
<integer>50</integer>
<key>ClientConnectionRetryAttempts</key>
<integer>100</integer>
<key>APNSCourierStatus</key>
<true/>
<key>minConsecutiveKeepAlivesMaintainingWiFiConnection</key>
<integer>10</integer>
<key>minutesDisableSwitchingToWiFiFromCellular</key>
<integer>15</integer>
<key>APNSNumberOfCriticalMessageKeepAlivesBeforeDisconnecting</key>
<integer>3</integer>
<key>APNSCriticalMessageKeepAliveTimerDuration</key>
<real>10.0</real>
<key>APNSCriticalMessageTimeout</key>
<real>10.0</real>
<key>APNSWWANTrackedLinkQualityTimeInterval</key>
<real>600.0</real>
<key>APNSWWANTrackedLinkQualityOffTransitions</key>
<integer>2</integer>
<key>APNSAWDSlowReceiveThreshold</key>
<real>60.0</real>
<key>APNSLowPriorityMessageBatchSize</key>
<integer>50</integer>
<key>APNSActiveInterval</key>
<integer>5</integer>
<key>APNSForcedShortTimeoutInterval</key>
<real>2.0</real>
<key>APNSCostDrivenDualChannelAttempts</key>
<integer>100</integer>
<key>APNSPiggybackDualChannelAttempts</key>
<integer>50</integer>
<key>APNSMaximumLowPriorityBatchesPerHour</key>
<integer>3</integer>
<key>APNSDisableCostDrivenDualChannel</key>
<false/>
<key>APNSLowPriorityBurstWindow</key>
<real>30.0</real>
<key>APNSLowPriorityBurstDelay</key>
<real>1200.0</real>
<key>APNSLowPriorityBurstSendProbability</key>
<real>0.8</real>
<key>KeepAliveV2TimeDriftMaximum</key>
<integer>0</integer>
<key>KeepAliveV2TimeDriftMaxAllowed</key>
<integer>30</integer>
<key>APNSIPCachingTTLMinutes</key>
<integer>1440</integer>
<key>APNSIPCachingPercentage</key>
<integer>0</integer>
<key>Environment</key>
<string>Production</string>
<key>APNSNagleEnabled</key>
<false/>
<key>APNSMinimumIntervalFallbackEnabled</key>
<true/>
<key>APNSIPCachingTTLMinutesV2</key>
<integer>1440</integer>
</dict>
</plist>
The only mystery is why the init servers aren't hosted within 17.0.0.0 / 8, as Apple has more than enough IP addresses to spare.