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gavi;yudhibhyAM sthiraH

गविॱयुधिभ्यां स्थिरः ONPANINI 83095

sthiraH स्थिरः (gets /Satvam when ifc) after gavi गवि and yudhi युधि.

The only two examples are the proper names —

gaviSThiraH गविष्ठिरः

and

yudhi युधि + sthira- स्थिरॱ + /su
→ yudhi युधि + Sthira- ष्थिरॱ + /su by this rule
→ !**yudhiSThiraH युधिष्ठिरः by STunASTuH.

Their compounding is allowed by saJjJAyAm.

As MMW tells us, Mr. gaviSThira:: AtreyaH गविष्ठिर‌ आत्रेयः ('descendant of Atri') is mentioned as a RSi ऋषि in the Rgveda ऋग्वेद and the atharvaveda अथर्ववेद. If you never heard about Mr. yudhiSThiraH युधिष्ठिरः, this is a good moment to read the wikipedia article.

How come the sUtra has the strange word gaviyudhibhyAm गवियुधिभ्याम् made by adding /bhyAm after the two /subanta gavi गवि and yudhi युधि, and not just after the nounbases /go- and yudh- युध्, as usual in other sUtras?

I can answer half of that question: that queer formation shows that gavi गवि keeps its /Gi when ibc.

But yudhi युधि would keep its /Gi anyway, by haladantAts..., so as for why this is not gaviyudbhyAm गवियुद्भ्याम्, your guess is as good as mine.