In the first week of spring the district took the third edition off the wall and put up the fourth. For one day the wall was blank. We had not known how much of the winter hung on that sheet until it was gone.
The proof came to us a week early, folded in three, with a strip of red paper marking where to sign. Six columns, the same as before. STILL TRUE? had survived. So had COST. The numbers were ours, copied from the cards we gave the clerk in the autumn and printed small enough that nobody would ask what they counted.
The clerk came on a Tuesday with the sheet and a pot of paste. He wanted one thing: a signature for the quarter that had ended, under the new street numbers. Our cards said the counts were made when the tails were two digits. Now they were four. Same door, new name. He said the column had no room for that. We said the column had room for one word, and the word was no. He said no was not a number.
We signed the back of the sheet instead, where the paste would cover it. He pasted it anyway. This is how a caveat travels. It is not deleted. It is only put underneath.
Work was thin that spring. The sorting office was between contracts, waiting on the district to decide which valley kept the machine. Ours, by the numbers, which meant we would keep it and not run it. Merta went to the printing office to watch the columns and sent word that we should eat. So we took hauling work at the quarry, weighing carts at the top of the ramp and writing the weights in a book that was not ours.
That is where we met DESCENT.
He was a cousin from the quarry side of the family, wide through the shoulders and slow to speak, and his whole trade was pushing loaded carts down a ramp to the weighing floor. The first day we watched him lean into a cart that would not start, and then, when it did, step back and let it run.
We asked how hard he pushed.
He said: I do not decide that. The hill decides. A steep part of the ramp takes a small push. A flat part takes a big one. If I pushed the same every time I would break the carts at the bottom and leave them standing at the top.
The eldest stopped writing.
For two years he had carried one thing he could not put into a rule: how far to move the line when a letter came up wrong. He had written it into the method form as the seventh row. The step is chosen by the person teaching, and we have no rule for choosing it. He had signed that row three times. It was the row he hated. He had spent his life arguing that anything true could be written down, and here was a line in his own hand saying: this part is a choice.
He took DESCENT back to the sorting room that evening and showed him the winter cards, the ones with the letter on one side and the line on the other.
DESCENT looked at them for a long time. Then he said the thing that changed the room. You do not choose how far to move. The wrongness does. A letter that falls far from the line should move the line far. A letter that falls just outside it should move it a little. Move by a share of the distance you were wrong.
The smallest child was already at the slate. She drew a line, put an x on the wrong side, and moved the line halfway to it. Then halfway again. Then again. The gap closed by half each time and never quite closed, which she did not like, but it closed faster than anything we had done by hand.
She counted the moves. Thirty-four had been the old count on a hard pair. Sixty-one, the count that never finished. With the share deciding, the same pair settled in nine.
The eldest wrote a new row in the method form. Then he crossed it out and wrote it again, because the first version said the step comes from the error, and the second said the step comes from the error and shrinks as the error shrinks. That second half was DESCENT himself who insisted on it. He said: at the bottom of the ramp the cart is barely moving, so you barely push. If you keep pushing at full strength you go through the wall.
We put the row in the form and sent a copy down the valley. It came back with one line added by the river station. What happens when a letter is labelled wrong? A wrong label is a big error, and a big error moves the line a long way in the wrong direction. We had no answer. We still have no answer. DESCENT said only that at the quarry they weigh a cart twice before they trust the number, and that this was the part of his trade he did not know how to teach.
In the evening the eldest took the key off the promise ledger. He did not open it. He set the key on the shelf beside the book, where it could be reached without moving anything else, and stood there long enough for the lamp to need trimming.
SEARCH asked him what he was doing. He said he was measuring how far he had to move.
She said: by what share?
He said he did not know yet, and for the first time in his life the sentence did not seem to cost him anything.
House of Sparks is a work of fiction. The family, the stations, the district and every person in them are invented; any resemblance to real institutions or living people is unintended.