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If the Solar system had a history of planet migration, the signature of thatmigration may be imprinted on the populations of asteroids and comets that werescattered in the planets' wake. Here, we consider the dynamical and collisionalevolution of inner Solar system asteroids which join the Oort cloud. We comparethe Oort cloud asteroid populations produced by migration scenarios based onthe `Nice' and `Grand Tack' scenarios, as well as a null hypothesis where theplanets have not migrated, to the detection of one such object, C/2014 S3(PANSTARRS). Our simulations find that the discovery of C/2014 S3 (PANSTARRS)only has a greater than one percent chance of occurring if the Oort cloudasteroids evolved on to Oort cloud orbits when the Solar system was not morethan about one million years old, as this early transfer to the Oort cloud isnecessary to keep the amount of collisional evolution low. We argue this onlyoccurs when a giant (greater than thirty Earth masses) planet orbits at 1 ~ 2au, and thus our results strongly favour a `Grand Tack'-like migration havingoccurred early in the Solar system's history.

Oort cloud asteroids: Collisional evolution, the Nice Model, and the Grand Tack