Even so the window of opportunity for advanced civilisations is not huge: from about 40,000 years bp - the time of the 'great leap forward' - to 10,000 years bp, as per the OP. At least, if we're talking about human civilisations. I cannot answer for the octopodes.
We also have a pretty good archaeological record of technological/tool-using advance by humans in the period from 40,000 to 10,000 years bp. It shows steady increase in use of more sophisticated stuff until we find the agricultural breakthroughs from about 12,000 ybp and thereafter.
This is also supported by analysis of the genetic clock of modern domesticates - not just wheat and barley and rice and so on, but also dogs and cats. All modern domesticates, wherever found, show signs of having been domesticated within the last 14 or 15 thousand years.