[462] Friedlein thought it spurious. See _Zeitschrift fuer Mathematik und Physik_, Vol. XII (1867), Hist.-lit. suppl., p. 74. It was discovered in the library of the Benedictine monastry of St. Peter, at Salzburg, and was published by Peter Bernhard Pez in 1721. Doubt was first cast upon it in the Olleris edition (_Oeuvres de Gerbert_). See Weissenborn, _Gerbert_, pp. 2, 6, 168, and Picavet, p. 81. Hock, Cantor, and Th. Martin place the composition of the work at c. 996 when Gerbert was in Germany, while Olleris and Picavet refer it to the period when he was at Rheims. [463] Picavet, loc. cit., p. 182. [464] Who wrote after Gerbert became pope, for he uses, in his preface, the words, "a domino pape Gerberto." He was quite certainly not later than the eleventh century; we do not have exact information about the time in which he lived. [465] Picavet, loc. cit., p. 182. Weissenborn, _Gerbert_, p. 227. In Olleris, _Liber Abaci_ (of Bernelinus), p. 361. [466] Richer, in Bubnov, loc. cit., p. 381. [467] Weissenborn, _Gerbert_, p. 241. [468] Writers on numismatics are quite uncertain as to their use. See F. Gnecchi, _Monete Romane_, 2d ed., Milan, 1900, cap. XXXVII. For pictures of old Greek tesserae of Sarmatia, see S. Ambrosoli, _Monete Greche_, Milan, 1899, p. 202. [469] Thus Tzwivel's arithmetic of 1507, fol. 2, v., speaks of the ten figures as "characteres sive numerorum apices a diuo Seuerino Boetio." [470] Weissenborn uses _sipos_ for 0. It is not given by Bernelinus, and appears in Radulph of Laon, in the twelfth century. See Guenther's _Geschichte_, p. 98, n.; Weissenborn, p. 11; Pihan, _Expose_ etc., pp. xvi-xxii. In Friedlein's _Boetius_, p. 396, the plate shows that all of the six important manuscripts from which the illustrations are taken contain the symbol, while four out of five which give the words use the word _sipos_ for 0. The names appear in a twelfth-century anonymous manuscript in the Vatican, in a passage beginning Ordine primigeno sibi nomen possidet igin. Andras ecce locum mox uendicat ipse secundum Ormis post numeros incompositus sibi primus.