The best replacement for signing is ratifying.

The best alternatives to signing are rated as following:
★★★★★  ratifying
★★★★  encryption
★★★  ratification
★★★  oralism
★★  encrypting
★  digital signature
★  down payment
  initialing

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Speaking about signing, one probably shouldn't forget about signature.

Other search terms related to signing and their ratings are:
★★★★★ signature
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Google Trends

Scale is based on the average worldwide traffic of signing in all years. Click on graph for more.
signing
ratifying
encryption