Geodesic
Infinite family of $\Sigma_a^{-1}$-Sets with only One Computable Numbering
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 2, pp. 89-92

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There was constructed example of infinite family of $\Sigma^{-1}_{a}$-sets with only one $\Sigma^{-1}_{a}$-computable numbering, $a$ is constructive ordinal.
Keywords: computable numbering, Ershov's hierarchy. 
@article{VNGU_2011_11_2_a7,
     author = {S. S. Ospichev},
     title = {Infinite family of~$\Sigma_a^{-1}${-Sets} with only {One} {Computable} {Numbering}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {89--92},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2011_11_2_a7/}
}
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S. S. Ospichev. Infinite family of $\Sigma_a^{-1}$-Sets with only One Computable Numbering. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 2, pp. 89-92. http://geodesic.mathdoc.fr/item/VNGU_2011_11_2_a7/