I doubt so as it's a popular verse and have not heard it having any specific name... paticca samuppāda hadaya gatha?
From my experience of some Tibetan Buddhist pujas and some Dharma talks I have attended, this is recited as part of their preliminaries
or opening verse where an 'Om' is added in front and 'Soha' at the end. See link
For origin of the verse... Upatissa-pasine
LinkYē dhammā hetuppabhavā
tesam hetum Tathāgato āha,
tesanca yo nirodho
evam vādī Mahāsamano tī
Link"Of all those things that from a cause arise,
Tathagata the cause thereof has told;
And how they cease to be, that too he tells,
This is the doctrine of the Great Recluse."
 (commentary from accesstoinsight:)
This gatha was later to become one of the best-known and most widely-disseminated stanzas of Buddhism, standing for all time as a reminder of Sariputta's first contact with the Dhamma and also as a worthy memorial to Assaji, his great arahant teacher. Spoken at a time when the principle of causality was not accorded the prominence it enjoys today in philosophical thought, its impact on the minds of the early Buddhists must have been revolutionary.