pid_lineage.sh

#!/bin/bash -eu

pid_lineage(){
  ps -p ${1:-$$} -o pid,ppid,args | tail -n1 | \
    (
      read pid ppid args
      echo -e "$pid\t$args"
      [[ $pid -gt 1 ]] && pid_lineage $ppid -
    ) | (
      [[ ${2:-} != '-' ]] && \
        column  -t -s $'\t' || \
        cat
    )
}

pid_lineage "$@"

This now works for Linux and macOS.

Hello Richard, I have came up with an endless loop when one of my top parent processes had parent pid set to itself instead of to 1.

To handle I changed:
[[ $pid -gt 1 ]]
to:
[[ $pid -gt 1 && $pid -ne $ppid ]]

Cheers