Right now, it's averaging once every 28 hours. But that does change as feerates go up and down, as the calendars spend approximately a constant amount on fees per day.
If I get mode donations, I can potentially speed that up for better timestamps.
Discussion
What about accepting lightning for *that*? "Want this timestamp confirmed faster? Send me some sats on lightning."
LN doesn't record every TX on the base layer. Just the opening and closing of a channel.
Of course, I don't understand your point though.
I'm not suggesting the lightning payment directly pay fees for that timestamp. Peter would accumulate lightning sats received in this way and periodically loop-out into his opentimestamps wallet, which would then help pay for opentimestamps on-chain transactions in the future.
Yes, that's exactly what I do with donations.
Accepting LN for speeding up transactions makes sense and I'll probably do it at some point. It does require a bunch of code to do well though.