You have probably already figured this out and moved on, but my guess is, if your jewel didn't break after 30 minutes from obtaining it, there is a glitch that you will need a GM to fix. According to the wiki, you have 30 minutes to get to the top before it breaks and you will lose the KI. Logging off, zoning, etc also causes the jewel to break. Based on this you should not still have it and may require a GM to fix your KI so you can reobtain.
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~Elspetta~
99 BLM WHM RDM SCH SMN BRD THF DNC WAR
Phoenix
~~Remember the Titans~~