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In addition to proving that the fluctuations must be dominated by the first interactions, we show that low-N<jats:italic><jats:sub>\u03bc<\/jats:sub><\/jats:italic> tail of the shower-to-shower distribution of the number of muons is determined by the high-<jats:italic>x<\/jats:italic><jats:sub>L<\/jats:sub> region of the production cross-section of neutral pions in the first interaction.<\/jats:p>","DOI":"10.1051\/epjconf\/201921002006","type":"journal-article","created":{"date-parts":[[2019,5,17]],"date-time":"2019-05-17T07:51:00Z","timestamp":1558079460000},"page":"02006","source":"Crossref","is-referenced-by-count":2,"title":["Probing the \u03c0<sup>0<\/sup> spectrum at high-<i>x<\/i> in proton-Air interactions at ultra-high energies"],"prefix":"10.1051","volume":"210","author":[{"given":"Lorenzo","family":"Cazon","sequence":"first","affiliation":[]},{"given":"Ruben","family":"Concei\u00e7\u00e3o","sequence":"additional","affiliation":[]},{"given":"Miguel Alexandre","family":"Martins","sequence":"additional","affiliation":[]},{"given":"Felix","family":"Riehn","sequence":"additional","affiliation":[]}],"member":"250","published-online":{"date-parts":[[2019,5,17]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"032003","DOI":"10.1103\/PhysRevD.91.032003","volume":"91","author":"Aab","year":"2015","journal-title":"Phys. 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