Dear Komountain, It is an interesting question. It is my opinion that it is normal to omit «with» if there is no article and to say «Ticket in hand, I proceeded to the boarding gate». We may also say «Heavy suitcase in hand, I proceeded to the boarding gate».
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Paco2004I almost to Goldmund.Oops! Must be "I almost agree to Goldmund".
KomountainThank you all for your contributions.
Let me summarize what you have said.
1. With no article: you don't need a possessive before the body part.
With x ticket in x hand, ....
2. With an article: you need a possessive.
With a