The 77311-802-09: It's a through-hole solder-terminated male pin connector with push-pull fastening, meant for board-to-board stacking where the mating receptacle sits directly above on the same pitch.
Obsolete – cross-reference or last-time-buy
No official successor is listed on the record, so the replacement path is a form-fit-function cross to another BergStik header with the same 9 positions, 0.100" pitch, single row, and unshrouded configuration — but with a lead-free post finish if RoHS compliance is required. For a drop-in alternative that avoids the tin-lead post finish, consider a current-production BergStik header with the same footprint and gold post plating.
This header mates with any unshrouded BergStik receptacle or female socket strip on 0.100" pitch, single row, 9 positions. The housing is thermoplastic rated UL94 V-0, and the insulation height is 0.100" (2.54mm) above the board surface — the same as the pitch, which keeps the profile low for dense stacking.