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I don't understand what does "anchored to a cost" mean.
In crude terms, things have value and they have a cost to produce. If the value is above the cost, more things like that will be made. If the value is below the cost, no one will make these things. Nothing in that speaks to "anchoring" -- the cost does not "anchor" the value.
Bitcoins certainly have a cost to produce (and it's growing, by design), just like gold. If the value of bitcoins falls below that cost, no one will produce new bitcoins any more.
If there is a fixed cost to produce something, then if the value ever moves above the cost, more will be produced until the value falls to the cost. This means that the value is anchored to the cost. Bitcoins do not have a fixed cost. It would be more accurate to say that the cost of bitcoins is anchored to the value.