There are times when you need your public IP address, that is associated to your Raspberry Pi to do some operations, like check torrent status, access plex or run any other task, that you have enabled port forwarding to in your router's admin panel.

I have used ruby for the scripting part, and am sending the public IP in an email via Google mail.

# /home/pi/ruby_scripts/gmail.rb

# Useful for notifying about errors from any applet, scripts, etc.

require_relative "tlsmail"
require "time"

module Gmail
  def self.send(subject, body, opts = {})
    to = opts[:to] 
    from = opts[:from] || your_default_from_address_here 
    password = opts[:password] || your_default_password

    content = <<EOF
From: #{from}
To: #{to}
Subject: #{subject}
Date: #{Time.now.rfc2822}
#{body}
EOF


      Net::SMTP.enable_tls(OpenSSL::SSL::VERIFY_NONE)
      Net::SMTP.start('smtp.gmail.com', 587, 'gmail.com', from, password, :login) do |smtp|
        smtp.send_message(content, from, to)
      end

end
end

sleep 60  # wait for 60 seconds to establish connection
ip = `curl icanhazip.com`
puts ip
[list_of_emails_to_send_mail_to].each do |user|
  Gmail.send('New IP Address', ip, to: user)
end
# /home/pi/ruby_scripts/tlsmail.rb

# = net/smtp.rb
# 
# Copyright (c) 1999-2004 Yukihiro Matsumoto.
#
# Copyright (c) 1999-2004 Minero Aoki.
# 
# Written & maintained by Minero Aoki <aamine@loveruby.net>.
#
# Documented by William Webber and Minero Aoki.
# 
# This program is free software. You can re-distribute and/or
# modify this program under the same terms as Ruby itself.
# 
# NOTE: You can find Japanese version of this document at:
# http://www.ruby-lang.org/ja/man/index.cgi?cmd=view;name=net%2Fsmtp.rb
# 
# $Id: smtp.rb 10709 2006-08-09 07:56:30Z matz $
#
# See Net::SMTP for documentation. 
# 

require 'net/protocol'
require 'digest/md5'
require 'timeout'
begin
  require "openssl"
rescue LoadError
end

module Net

  # Module mixed in to all SMTP error classes
  module SMTPError
    # This *class* is module for some reason.
    # In ruby 1.9.x, this module becomes a class.
  end

  # Represents an SMTP authentication error.
  class SMTPAuthenticationError < ProtoAuthError
    include SMTPError
  end

  # Represents SMTP error code 420 or 450, a temporary error.
  class SMTPServerBusy < ProtoServerError
    include SMTPError
  end

  # Represents an SMTP command syntax error (error code 500)
  class SMTPSyntaxError < ProtoSyntaxError
    include SMTPError
  end

  # Represents a fatal SMTP error (error code 5xx, except for 500)
  class SMTPFatalError < ProtoFatalError
    include SMTPError
  end

  # Unexpected reply code returned from server.
  class SMTPUnknownError < ProtoUnknownError
    include SMTPError
  end

  #
  # = Net::SMTP
  #
  # == What is This Library?
  # 
  # This library provides functionality to send internet
  # mail via SMTP, the Simple Mail Transfer Protocol. For details of
  # SMTP itself, see [RFC2821] (http://www.ietf.org/rfc/rfc2821.txt).
  # 
  # == What is This Library NOT?
  # 
  # This library does NOT provide functions to compose internet mails.
  # You must create them by yourself. If you want better mail support,
  # try RubyMail or TMail. You can get both libraries from RAA.
  # (http://www.ruby-lang.org/en/raa.html)
  # 
  # FYI: the official documentation on internet mail is: [RFC2822] (http://www.ietf.org/rfc/rfc2822.txt).
  # 
  # == Examples
  # 
  # === Sending Messages
  # 
  # You must open a connection to an SMTP server before sending messages.
  # The first argument is the address of your SMTP server, and the second 
  # argument is the port number. Using SMTP.start with a block is the simplest 
  # way to do this. This way, the SMTP connection is closed automatically 
  # after the block is executed.
  # 
  #     require 'net/smtp'
  #     Net::SMTP.start('your.smtp.server', 25) do |smtp|
  #       # Use the SMTP object smtp only in this block.
  #     end
  # 
  # Replace 'your.smtp.server' with your SMTP server. Normally
  # your system manager or internet provider supplies a server
  # for you.
  # 
  # Then you can send messages.
  # 
  #     msgstr = <<END_OF_MESSAGE
  #     From: Your Name <your@mail.address>
  #     To: Destination Address <someone@example.com>
  #     Subject: test message
  #     Date: Sat, 23 Jun 2001 16:26:43 +0900
  #     Message-Id: <unique.message.id.string@example.com>
  # 
  #     This is a test message.
  #     END_OF_MESSAGE
  # 
  #     require 'net/smtp'
  #     Net::SMTP.start('your.smtp.server', 25) do |smtp|
  #       smtp.send_message msgstr,
  #                         'your@mail.address',
  #                         'his_addess@example.com'
  #     end
  # 
  # === Closing the Session
  # 
  # You MUST close the SMTP session after sending messages, by calling 
  # the #finish method:
  # 
  #     # using SMTP#finish
  #     smtp = Net::SMTP.start('your.smtp.server', 25)
  #     smtp.send_message msgstr, 'from@address', 'to@address'
  #     smtp.finish
  # 
  # You can also use the block form of SMTP.start/SMTP#start.  This closes
  # the SMTP session automatically:
  # 
  #     # using block form of SMTP.start
  #     Net::SMTP.start('your.smtp.server', 25) do |smtp|
  #       smtp.send_message msgstr, 'from@address', 'to@address'
  #     end
  # 
  # I strongly recommend this scheme.  This form is simpler and more robust.
  # 
  # === HELO domain
  # 
  # In almost all situations, you must provide a third argument
  # to SMTP.start/SMTP#start. This is the domain name which you are on
  # (the host to send mail from). It is called the "HELO domain".
  # The SMTP server will judge whether it should send or reject
  # the SMTP session by inspecting the HELO domain.
  # 
  #     Net::SMTP.start('your.smtp.server', 25,
  #                     'mail.from.domain') { |smtp| ... }
  # 
  # === SMTP Authentication
  # 
  # The Net::SMTP class supports three authentication schemes;
  # PLAIN, LOGIN and CRAM MD5.  (SMTP Authentication: [RFC2554])
  # To use SMTP authentication, pass extra arguments to 
  # SMTP.start/SMTP#start.
  # 
  #     # PLAIN
  #     Net::SMTP.start('your.smtp.server', 25, 'mail.from.domain',
  #                     'Your Account', 'Your Password', :plain)
  #     # LOGIN
  #     Net::SMTP.start('your.smtp.server', 25, 'mail.from.domain',
  #                     'Your Account', 'Your Password', :login)
  # 
  #     # CRAM MD5
  #     Net::SMTP.start('your.smtp.server', 25, 'mail.from.domain',
  #                     'Your Account', 'Your Password', :cram_md5)
  #
  class SMTP

    Revision = %q$Revision: 10709 $.split[1]

    # The default SMTP port, port 25.
    def SMTP.default_port
      25
    end

    @use_tls = false
    @verify = nil
    @certs = nil

    # Enable SSL for all new instances.
    # +verify+ is the type of verification to do on the Server Cert; Defaults
    # to OpenSSL::SSL::VERIFY_PEER.
    # +certs+ is a file or directory holding CA certs to use to verify the 
    # server cert; Defaults to nil.
    def SMTP.enable_tls(verify = OpenSSL::SSL::VERIFY_PEER, certs = nil)
      @use_tls = true
      @verify = verify
      @certs = certs  
    end

    # Disable SSL for all new instances.
    def SMTP.disable_tls
      @use_tls = nil
      @verify = nil
      @certs = nil
    end

    def SMTP.use_tls?
      @use_tls
    end

    def SMTP.verify
      @verify
    end

    def SMTP.certs
      @certs
    end
    
    #
    # Creates a new Net::SMTP object.
    #
    # +address+ is the hostname or ip address of your SMTP
    # server.  +port+ is the port to connect to; it defaults to
    # port 25.
    #
    # This method does not open the TCP connection.  You can use
    # SMTP.start instead of SMTP.new if you want to do everything
    # at once.  Otherwise, follow SMTP.new with SMTP#start.
    #
    def initialize(address, port = nil)
      @address = address
      @port = (port || SMTP.default_port)
      @esmtp = true
      @socket = nil
      @started = false
      @open_timeout = 30
      @read_timeout = 60
      @error_occured = false
      @debug_output = nil
      @use_tls = SMTP.use_tls?
      @certs = SMTP.certs
      @verify = SMTP.verify      
    end
    
    # Provide human-readable stringification of class state.
    def inspect
      "#<#{self.class} #{@address}:#{@port} started=#{@started}>"
    end

    # +true+ if the SMTP object uses ESMTP (which it does by default).
    def esmtp?
      @esmtp
    end

    #
    # Set whether to use ESMTP or not.  This should be done before 
    # calling #start.  Note that if #start is called in ESMTP mode,
    # and the connection fails due to a ProtocolError, the SMTP
    # object will automatically switch to plain SMTP mode and
    # retry (but not vice versa).
    #
    def esmtp=(bool)
      @esmtp = bool
    end

    alias esmtp esmtp?

    # does this instance use SSL?
    def use_tls?
      @use_tls
    end
    
    # Enables STARTTLS for this instance.
    # +verify+ is the type of verification to do on the Server Cert; Defaults
    # to OpenSSL::SSL::VERIFY_PEER.
    # +certs+ is a file or directory holding CA certs to use to verify the 
    # server cert; Defaults to nil.
    def enable_tls(verify = OpenSSL::SSL::VERIFY_PEER, certs = nil)
      @use_tls = true
      @verify = verify
      @certs = certs
    end
    
    def disable_tls
      @use_tls = false
      @verify = nil
      @certs = nil
    end

    # The address of the SMTP server to connect to.
    attr_reader :address

    # The port number of the SMTP server to connect to.
    attr_reader :port

    # Seconds to wait while attempting to open a connection.
    # If the connection cannot be opened within this time, a
    # TimeoutError is raised.
    attr_accessor :open_timeout

    # Seconds to wait while reading one block (by one read(2) call).
    # If the read(2) call does not complete within this time, a
    # TimeoutError is raised.
    attr_reader :read_timeout

    # Set the number of seconds to wait until timing-out a read(2)
    # call.
    def read_timeout=(sec)
      @socket.read_timeout = sec if @socket
      @read_timeout = sec
    end

    #
    # WARNING: This method causes serious security holes.
    # Use this method for only debugging.
    #
    # Set an output stream for debug logging.
    # You must call this before #start.
    #
    #   # example
    #   smtp = Net::SMTP.new(addr, port)
    #   smtp.set_debug_output $stderr
    #   smtp.start do |smtp|
    #     ....
    #   end
    #
    def set_debug_output(arg)
      @debug_output = arg
    end

    #
    # SMTP session control
    #

    #
    # Creates a new Net::SMTP object and connects to the server.
    #
    # This method is equivalent to:
    # 
    #   Net::SMTP.new(address, port).start(helo_domain, account, password, authtype)
    #
    # === Example
    #
    #     Net::SMTP.start('your.smtp.server') do |smtp|
    #       smtp.send_message msgstr, 'from@example.com', ['dest@example.com']
    #     end
    #
    # === Block Usage
    #
    # If called with a block, the newly-opened Net::SMTP object is yielded
    # to the block, and automatically closed when the block finishes.  If called
    # without a block, the newly-opened Net::SMTP object is returned to
    # the caller, and it is the caller's responsibility to close it when
    # finished.
    #
    # === Parameters
    #
    # +address+ is the hostname or ip address of your smtp server.
    #
    # +port+ is the port to connect to; it defaults to port 25.
    #
    # +helo+ is the _HELO_ _domain_ provided by the client to the
    # server (see overview comments); it defaults to 'localhost.localdomain'. 
    #
    # The remaining arguments are used for SMTP authentication, if required
    # or desired.  +user+ is the account name; +secret+ is your password
    # or other authentication token; and +authtype+ is the authentication
    # type, one of :plain, :login, or :cram_md5.  See the discussion of
    # SMTP Authentication in the overview notes.
    #
    # === Errors
    #
    # This method may raise:
    #
    # * Net::SMTPAuthenticationError
    # * Net::SMTPServerBusy
    # * Net::SMTPSyntaxError
    # * Net::SMTPFatalError
    # * Net::SMTPUnknownError
    # * IOError
    # * TimeoutError
    #
    def SMTP.start(address, port = nil, helo = 'localhost.localdomain',
                   user = nil, secret = nil, authtype = nil,
                   &block)   # :yield: smtp
      new(address, port).start(helo, user, secret, authtype, &block)
    end

    # +true+ if the SMTP session has been started.
    def started?
      @started
    end

    #
    # Opens a TCP connection and starts the SMTP session.
    #
    # === Parameters
    #
    # +helo+ is the _HELO_ _domain_ that you'll dispatch mails from; see
    # the discussion in the overview notes.
    #
    # If both of +user+ and +secret+ are given, SMTP authentication 
    # will be attempted using the AUTH command.  +authtype+ specifies 
    # the type of authentication to attempt; it must be one of
    # :login, :plain, and :cram_md5.  See the notes on SMTP Authentication
    # in the overview. 
    #
    # === Block Usage
    #
    # When this methods is called with a block, the newly-started SMTP
    # object is yielded to the block, and automatically closed after
    # the block call finishes.  Otherwise, it is the caller's 
    # responsibility to close the session when finished.
    #
    # === Example
    #
    # This is very similar to the class method SMTP.start.
    #
    #     require 'net/smtp' 
    #     smtp = Net::SMTP.new('smtp.mail.server', 25)
    #     smtp.start(helo_domain, account, password, authtype) do |smtp|
    #       smtp.send_message msgstr, 'from@example.com', ['dest@example.com']
    #     end 
    #
    # The primary use of this method (as opposed to SMTP.start)
    # is probably to set debugging (#set_debug_output) or ESMTP
    # (#esmtp=), which must be done before the session is
    # started.  
    #
    # === Errors
    #
    # If session has already been started, an IOError will be raised.
    #
    # This method may raise:
    #
    # * Net::SMTPAuthenticationError
    # * Net::SMTPServerBusy
    # * Net::SMTPSyntaxError
    # * Net::SMTPFatalError
    # * Net::SMTPUnknownError
    # * IOError
    # * TimeoutError
    #
    def start(helo = 'localhost.localdomain',
              user = nil, secret = nil, authtype = nil)   # :yield: smtp
      if block_given?
        begin
          do_start(helo, user, secret, authtype)
          return yield(self)
        ensure
          do_finish
        end
      else
        do_start(helo, user, secret, authtype)
        return self
      end
    end

    def do_start(helodomain, user, secret, authtype)
      raise IOError, 'SMTP session already started' if @started
      check_auth_args user, secret, authtype if user or secret
      s = Timeout.timeout(@open_timeout) { TCPSocket.open(@address, @port) }   
      @socket = InternetMessageIO.new(s)

      logging "SMTP session opened: #{@address}:#{@port}"
      @socket.read_timeout = @read_timeout
      @socket.debug_output = @debug_output
      check_response(critical { recv_response() })
      do_helo(helodomain)
      
      if @use_tls
        raise 'openssl library not installed' unless defined?(OpenSSL)
        context = OpenSSL::SSL::SSLContext.new
        context.verify_mode = @verify
        if @certs
          if File.file?(@certs)
            context.ca_file = @certs
          elsif File.directory?(@certs)
            context.ca_path = @certs
          else
            raise ArgumentError, "certs given but is not file or directory: #{@certs}"
          end
        end
        s = OpenSSL::SSL::SSLSocket.new(s, context)
        s.sync_close = true
        starttls
        s.connect
        logging 'TLS started'
        @socket = InternetMessageIO.new(s)
        @socket.read_timeout = @read_timeout
        @socket.debug_output = @debug_output
        # helo response may be different after STARTTLS
        do_helo(helodomain)
      end

      authenticate user, secret, authtype if user
      @started = true
    ensure
      unless @started
        # authentication failed, cancel connection.
        s.close if s and not s.closed?
        @socket = nil
      end
    end
    private :do_start

    # method to send helo or ehlo based on defaults and to
    # retry with helo if server doesn't like ehlo.
    # 
    def do_helo(helodomain)
       begin
        if @esmtp
          ehlo helodomain
        else
          helo helodomain
        end
      rescue ProtocolError
        if @esmtp
          @esmtp = false
          @error_occured = false
          retry
        end
        raise
      end
    end
      

    # Finishes the SMTP session and closes TCP connection.
    # Raises IOError if not started.
    def finish
      raise IOError, 'not yet started' unless started?
      do_finish
    end

    def do_finish
      quit if @socket and not @socket.closed? and not @error_occured
    ensure
      @started = false
      @error_occured = false
      @socket.close if @socket and not @socket.closed?
      @socket = nil
    end
    private :do_finish

    #
    # message send
    #

    public

    #
    # Sends +msgstr+ as a message.  Single CR ("\r") and LF ("\n") found
    # in the +msgstr+, are converted into the CR LF pair.  You cannot send a
    # binary message with this method. +msgstr+ should include both 
    # the message headers and body.
    #
    # +from_addr+ is a String representing the source mail address.
    #
    # +to_addr+ is a String or Strings or Array of Strings, representing
    # the destination mail address or addresses.
    #
    # === Example
    #
    #     Net::SMTP.start('smtp.example.com') do |smtp|
    #       smtp.send_message msgstr,
    #                         'from@example.com',
    #                         ['dest@example.com', 'dest2@example.com']
    #     end
    #
    # === Errors
    #
    # This method may raise:
    #
    # * Net::SMTPServerBusy
    # * Net::SMTPSyntaxError
    # * Net::SMTPFatalError
    # * Net::SMTPUnknownError
    # * IOError
    # * TimeoutError
    #
    def send_message(msgstr, from_addr, *to_addrs)
      send0(from_addr, to_addrs.flatten) {
        @socket.write_message msgstr
      }
    end

    alias send_mail send_message
    alias sendmail send_message   # obsolete

    #
    # Opens a message writer stream and gives it to the block.
    # The stream is valid only in the block, and has these methods:
    #
    # puts(str = '')::       outputs STR and CR LF.
    # print(str)::           outputs STR.
    # printf(fmt, *args)::   outputs sprintf(fmt,*args).
    # write(str)::           outputs STR and returns the length of written bytes.
    # <<(str)::              outputs STR and returns self.
    #
    # If a single CR ("\r") or LF ("\n") is found in the message,
    # it is converted to the CR LF pair.  You cannot send a binary
    # message with this method.
    #
    # === Parameters
    #
    # +from_addr+ is a String representing the source mail address.
    #
    # +to_addr+ is a String or Strings or Array of Strings, representing
    # the destination mail address or addresses.
    #
    # === Example
    #
    #     Net::SMTP.start('smtp.example.com', 25) do |smtp|
    #       smtp.open_message_stream('from@example.com', ['dest@example.com']) do |f|
    #         f.puts 'From: from@example.com'
    #         f.puts 'To: dest@example.com'
    #         f.puts 'Subject: test message'
    #         f.puts
    #         f.puts 'This is a test message.'
    #       end
    #     end
    #
    # === Errors
    #
    # This method may raise:
    #
    # * Net::SMTPServerBusy
    # * Net::SMTPSyntaxError
    # * Net::SMTPFatalError
    # * Net::SMTPUnknownError
    # * IOError
    # * TimeoutError
    #
    def open_message_stream(from_addr, *to_addrs, &block)   # :yield: stream
      send0(from_addr, to_addrs.flatten) {
        @socket.write_message_by_block(&block)
      }
    end

    alias ready open_message_stream   # obsolete

    private

    def send0(from_addr, to_addrs)
      raise IOError, 'closed session' unless @socket
      raise ArgumentError, 'mail destination not given' if to_addrs.empty?
      if $SAFE > 0
        raise SecurityError, 'tainted from_addr' if from_addr.tainted?
        to_addrs.each do |to| 
          raise SecurityError, 'tainted to_addr' if to.tainted?
        end
      end

      mailfrom from_addr
      to_addrs.each do |to|
        rcptto to
      end
      res = critical {
        check_response(get_response('DATA'), true)
        yield
        recv_response()
      }
      check_response(res)
    end

    #
    # auth
    #

    private

    def check_auth_args(user, secret, authtype)
      raise ArgumentError, 'both user and secret are required'\
                      unless user and secret
      auth_method = "auth_#{authtype || 'cram_md5'}"
      raise ArgumentError, "wrong auth type #{authtype}"\
                      unless respond_to?(auth_method, true)
    end

    def authenticate(user, secret, authtype)
      __send__("auth_#{authtype || 'cram_md5'}", user, secret)
    end

    def auth_plain(user, secret)
      res = critical { get_response('AUTH PLAIN %s',
                                    base64_encode("\0#{user}\0#{secret}")) }
      raise SMTPAuthenticationError, res unless /\A2../ === res
    end

    def auth_login(user, secret)
      res = critical {
        check_response(get_response('AUTH LOGIN'), true)
        check_response(get_response(base64_encode(user)), true)
        get_response(base64_encode(secret))
      }
      raise SMTPAuthenticationError, res unless /\A2../ === res
    end

    def auth_cram_md5(user, secret)
      # CRAM-MD5: [RFC2195]
      res = nil
      critical {
        res = check_response(get_response('AUTH CRAM-MD5'), true)
        challenge = res.split(/ /)[1].unpack('m')[0]
        secret = Digest::MD5.digest(secret) if secret.size > 64

        isecret = secret + "\0" * (64 - secret.size)
        osecret = isecret.dup
        0.upto(63) do |i|
          c = isecret[i].ord ^ 0x36
          isecret[i] = c.chr
          c = osecret[i].ord ^ 0x5c
          osecret[i] = c.chr
        end
        tmp = Digest::MD5.digest(isecret + challenge)
        tmp = Digest::MD5.hexdigest(osecret + tmp)

        res = get_response(base64_encode(user + ' ' + tmp))
      }
      raise SMTPAuthenticationError, res unless /\A2../ === res
    end

    def base64_encode(str)
      # expects "str" may not become too long
      [str].pack('m').gsub(/\s+/, '')
    end

    #
    # SMTP command dispatcher
    #

    private

    def helo(domain)
      getok('HELO %s', domain)
    end

    def ehlo(domain)
      getok('EHLO %s', domain)
    end

    def mailfrom(fromaddr)
      getok('MAIL FROM:<%s>', fromaddr)
    end

    def rcptto(to)
      getok('RCPT TO:<%s>', to)
    end

    def quit
      getok('QUIT')
    end

    def starttls
      getok('STARTTLS')
    end
    #
    # row level library
    #

    private

    def getok(fmt, *args)
      res = critical {
        @socket.writeline sprintf(fmt, *args)
        recv_response()
      }
      return check_response(res)
    end

    def get_response(fmt, *args)
      @socket.writeline sprintf(fmt, *args)
      recv_response()
    end

    def recv_response
      res = ''
      while true
        line = @socket.readline
        res << line << "\n"
        break unless line[3] == ?-   # "210-PIPELINING"
      end
      res
    end

    def check_response(res, allow_continue = false)
      return res if /\A2/ === res
      return res if allow_continue and /\A3/ === res
      err = case res
            when /\A4/  then SMTPServerBusy
            when /\A50/ then SMTPSyntaxError
            when /\A55/ then SMTPFatalError
            else SMTPUnknownError
            end
      raise err, res
    end

    def critical(&block)
      return '200 dummy reply code' if @error_occured
      begin
        return yield()
      rescue Exception
        @error_occured = true
        raise
      end
    end

    def logging(msg)
      @debug_output << msg + "\n" if @debug_output
    end

  end   # class SMTP

  SMTPSession = SMTP

end   # module Net

Now all you need to do is put the wrapper for the script call in your crontab as:

@reboot ruby /home/pi/ruby_scripts/gmail.rb

And voila, now every time your PI boots up, you will get a mail from your raspberry pi box.

credits: https://gist.github.com/joakimk/3075289