The approval came through on Julian date 2465535, June 3, 2038, a Friday.
The news arrived first in one of Engineer Ma's telemetry lines. His one-line-a-day ledger, kept for the better part of a year, carried an extra half line that evening: the three ignition burn durations unchanged, and at the end, in parentheses, two words: awaiting approval. Two hours later the framework's announcement came out, four hundred words; she read it twice. A recorded vote: twenty-one for, nine against, five abstaining. The deepened design called for a carving depth of three hundred twenty meters and forty-four impactors, construction extended by four years, budget increased by forty percent on top of the approved sum. The final paragraph of the annex set out the procedures committee's finding on the new matter: the five alterations covered by the confession material had been independently recomputed by three groups, all within the measurement error of the original year, with no substantive effect on the factual basis of the amended design. The three groups were listed at the end. The third group had two members whose signatures she didn't recognize; a note in parentheses read: civilian applicants.
Mateo's account had gone gray once that spring. Half an hour after the announcement it came back on. He posted one line: The piles go on. The next day the engineering office's account issued the new window table, third version. She still had the first two: version one, 2461152 to 2461162; version two, 2461882 to 2461892, which carried a line of small type noting that the first version had been voided by the budget deferral. The third version turned that same line of format on itself: 2461882 to 2461892 voided by design change; new window 2466962 to 2466972, end of April 2042, eleven days. The eleven days were for inserting the first calibration impactor into orbit; the other forty-three followed behind it, and the landing date of the last one was printed at the foot of the table: 2042. From the first version to that date, one sheet of paper had governed sixteen years. The words at the foot were unchanged. This table shall be executed as scheduled. She filed the three tables side by side in 3t, filenames ordered by version, and when she was done she glanced at the directory. The "Shoulder" draft was still on that level, two thousand forty-one bytes, its timestamp stopped on a night seven years ago. She didn't open it.
The night the approval came, the countdown page that had carried "how many meters left" was redesigned. The countdown became a count up, the title changed to "How many years left," running from the new window. The first comment asked: on the day it reaches zero, is that saved, or does the carving go on. No one answered; after three days it sank to the second page. In the third quarter the information office restored its approval-rating question; "can't be saved" still ranked first among the objections, and support was back to twenty-six. Back to where, no two accounts agreed—some said back to three years ago, some said back to before the star-carving project was approved. The information office itself didn't say.
Five days after the approval, the first batch of eight new impactors ignited in the main belt. The engineering office posted pictures as always: eight bright points, each labeled with days since ignition: zero.
Hu Yisu's name surfaced later that week. The duty line of the telemetry daily changed hands; the new signature was his, the effective date of transfer filled in as June 1. No explanation, no forwarding, and from then on Engineer Ma's line carried a second name. A copy of the transfer approval was sent to her; under her name in the supervisor field there was a stamp. She sent him back one word: Received. He didn't reply.
For the half month after the approval, her days were no different from before it.
The S table still got one line a day, printed by the duty roster, checked by her, signed. The difference was in how she checked. Before, a visual pass over the flat line was the end of it; now, after the visual pass, it also went through bone. The bone-conduction headset sat beside the printouts, wired to the terminal; the script was the dozen-odd lines she had written herself—S value times a thousand, set as frequency, one line per second. 370 hertz, one line a second; all five thousand-plus lines would take an hour and a half, and she didn't listen to the full set, only a hundred lines each from the head, the tail, and the middle. That bone behind her left ear still recognized the tone. The right mastoid side wouldn't take; the doctor at the fitting had mentioned what the scan showed—mastoid pneumatization type, hers on the blunt side. Sound got in; shape didn't come out. She entered this too in the listening-method file, fourth line: right mastoid, sound gets in, shape doesn't come out. The fifth line she thought about for two days, then wrote: from now on, left primary, right backup.
She no longer sat in the front row at meetings. In the front row, lip-reading was guesswork, and the guessing grew by the month. She had requested live captions, one block at the lower right of the projection, a two-second delay; enough. Once, mid-meeting, the captions froze, and she listened on from the frozen screen with the bone-conduction headset pressed close. Pitch high and low she could separate; who was speaking she could tell; what they were saying she couldn't hold. She noted this on the back of the listening-method file: pitch distinguishable, meaning not. At the end she added, in parentheses: to be verified.
The fitting doctor had given her a 256-hertz tuning fork, told her to self-test once a week: strike it, press it to the crown of the head, listen for which side it pulled to. Sunday mornings she did it. The fork's sound traveled through her skull, traveled, and stopped on the left. The left was still there. She entered the word "left" in the listening-method file, the date trailing after it. On every other line of that file she recorded as things were; only this line she wrote half a beat slower.
She called Old Tang once, bone conduction pressed to the mastoid. Old Tang talked for three minutes; she caught the beginning and the end, and the middle turned into steps. After they hung up he sent a line of text: Even slowed down you can't catch it all. From now on, for anything that matters, I'll type. She replied: Fine. Another line came: I read the approval. The money went into the piles. Worth it.
The fourth package's countdown still ran its three columns in the page footer. The third column came down by one a day; the day it dropped into two digits, she booked her ticket to Shanghai.
Three days in Shanghai, in the guesthouse at the campus.
The paper archive stood at the far end of the Tianma campus: a row of single-story rooms, high ceilings, held at eighteen degrees. Lu Weiming waited for her at the door—seventy-two now, slow in his walk, the grip in his hands still there. He wore hearing aids in both ears, newly fitted, one size smaller than her old one. At the sight of her he pointed at his own ears, then at the bone-conduction case in her bag, and said: The two of us are walking toward each other now, from either end. He handed her a pair of cotton gloves and a pencil sharpened dull, and said: The rules haven't changed. What you can't read, circle. Don't guess.
She had followed the Shanghai paper records from Kashgar for three years—up to thirteen thousand five hundred ninety, which was nineteen years' doing. In recent years the young people at the station carried it on; the latest line before she came was thirteen thousand eight hundred seventy-four. Eight hundred sixty-seven to go. The worst of this batch were the ink-bleed cells: ink soaked from the front through to the back, one cell blurred into a sheet; the scanner read them gray and gave no number. You had to go back to the paper. Seventy-three ink-bleed cells in all, the handover rules for them set eighteen years ago. Her assignment this trip was to re-verify all seventy-three against the originals.
The first cell took her forty minutes. The overhead camera shot the front; the paper lay face down on the lightbox, and she pressed through it with her fingertips inside the cotton gloves. Where the ink was heavy, the back of the paper carried a very slight bulge—flat to a level palm; you had to press cell by cell. The first pass she felt nothing. The second she slowed, three seconds to a cell. The third found an edge: the left half of the cell bulged, the right half lay flat. Against the enlarged image of the front, the left half was a digit's vertical stroke. She traced the edge for the young man logging beside her; he read the scan's gray levels, and the gray boundary matched her fingertip, to within half a cell.
The second day she did nineteen cells. The smoothest was one from March 1971: ink soaked through, the front holding only half a digit. She felt out the bulge in the left half from the back, traced it; the young man laid the gray image over it and a 6 came out. He logged it: verified from paper verso, cell 41. She asked how long that cell had been stuck. He looked it up: three years and two months.
Lu Weiming came by in the afternoon and sat across from her, watching her work. After three cells he said: You've moved your ears into your hands. She said: The doctor says the same. He asked what else the doctor said. She said: The ear is only one of the roads. Lu Weiming nodded and let it go. After a while he said: Paper is good. Paper doesn't go deaf. He was smiling when he said it, and after the smile he added: The paper isn't young either. Go easy on it. His own cells he didn't touch. In this batch were the records of his two stars from 2017 to 2019, and those two years bled worst of all. He had pulled the two volumes out and set them at the corner of the table, handed them to the young man doing the scanning, and said a man couldn't bring his own hand down on his own numbers; let the machine do it.
Three cells she circled and left. The ink had gone through three layers; her fingertips' resolution couldn't reach. They would have to wait for next month's slot on the overhead camera, side lighting from another angle. Seventy-three cells, fifty-eight done in three days, three circled; of the remaining twelve, nine needed side light, and three Lu Weiming had judged doubtful, marked with his own tag. On the morning she left, she copied the log; the originals stayed in the cabinet, and the cabinet key was still the one from 2017. She signed the verification field of the intake form. When she finished, Lu Weiming walked her to the door and said: Next time you come, we finish the last twelve, and the cabinet is complete. She said: Fine. This time she did not say "another day."
On the train back, she entered what three days of fingertips had found into the listening-method file, a section of its own, title one word: finger-reading. The last line she wrote: fingertip resolution, half a cell. She finished, leaned against the seatback, and slept a while. When she woke the train was passing Suzhou; she watched the paddies out the window and thought: that faint bulge had taken her a whole afternoon to find—bulges on the back of the paper, writing on the back of the paper. This time the data had landed on paper, written on the paper's back, small patch by small patch, waiting for fingertips to read. She ran the sentence through once in her head and did not write it into the file.
That last morning, before she signed the intake form, Lu Weiming asked when the fourth package would arrive. She said July, around the tenth. He nodded and said: When that tone comes out, press the key one second for me. He didn't explain why one second. She didn't ask.
The fourth package arrived on Julian date 2465573, July 11, 2038, a Monday, 3:12 a.m.
She was in Kashgar, in the machine room. On duty was still Engineer Ma, a newcomer beside him, a young man, standing in the second row. The checksums done, the difference plots spread out, she stood at her old place and looked first at the groove edges. Groove length, two hundred ten meters, unchanged. Width 6.2, rounded in another tenth. The crease line at the groove edge was blunter than the last package; almost no ridge left. The sediment berms on both sides were down to 0.2 meters. If they dropped further, the next package would need a new method of measurement.
The depth column: 1.8 meters.
Engineer Ma worked the rate by hand, read it out when done: nine months, shallower by 0.4, that's 0.044 a month. He laid the three numbers in a row—0.036, 0.039, 0.044—and set his pen down. The room was quiet a few seconds. The rate was still climbing, and climbing a little steeper than the last stretch. Ursula's theory was those three sheets of paper from the year before: depth the only independent variable; the shallower the groove, the shorter the slope, the steeper the gradient, the faster the rate. This number fell on the extension of her line. That same afternoon Brouwer updated one line in the appendix to his proposal: for the shallower-than-two-meters regime the analytic solution gave a rate of 0.045, plus or minus 0.01; measured, 0.044—inside the band. This time he did not withdraw the report. Kramer forwarded the line and added one sentence: This time, the line was drawn on someone else.
Before the room broke up, she called up the scale script, deleted the silent placeholder on the fourth package's line, and entered 180. That night, back in the office, she played the first three packages—340, 290, 220—then the fourth. When 180 hertz came in through the mastoid, she closed her eyes. She remembered what Lu Weiming had said before she left Shanghai: when this tone comes out, press the key one second for him. She held it a little longer; that one second counted for two people. On a night at the end of April that year, she had left one second of silence for this tone that did not yet exist—left it as extrapolation. Now the extrapolation had turned into measurement. The guessed tone, guessed right. She played the four tones in sequence, walking downward, step by step. She measured the durations and entered them in the "scale" file, and under the fourth step she drew the blank for a fifth. She left the blank empty. The fifth package would come in early October; extrapolating on the rise, the rate would touch around 0.05, another 0.15 shallower in three months, depth a bit over 1.6 meters; times a hundred, a hundred and sixty-some hertz. Half a step below 180. Next to the blank she wrote the numbers in small pencil, pressed them once with a finger, and didn't trace them darker.
The Saturday video call, Julian date 2465578, July 16.
Zhou Yao had changed backgrounds in the Shanghai rental; the drying wall had become half a rack of tools, carving knives hung in a row by number. She said her master's block had cracked in early July. That small commission print—before the crack, it had yielded twenty-nine prints in all; her master counted them as they came, and at the twenty-ninth the grain in the block walked into the carved line and he stopped the press. Zhou Yao said: He wasn't sad at all. He said this block picked its own day. Twenty-nine, not one more. The workshop passed to her next month; her master was going home, and before he left he finished teaching the sharpening. The last lesson was the smallest round-nose chisel; they sharpened a whole afternoon.
Zhou Yan typed: The fourth package came. 1.8 meters. Zhou Yao said: Better than you guessed? Zhou Yan typed: Guessed right. Not one digit off. Zhou Yao said: You listen to numbers faster than you read them now. Zhou Yan paused, typed: About the same. Zhou Yao looked at the caption window a couple of seconds, smiled, and said: You're typing faster and faster.
Zhou Yan typed: Still carving the closed eyes?
Zhou Yao said: Three closed-eye commissions, booked through year's end. She paused, brought the camera closer. She said: Mom, I carved one other thing.
She held the picture up to the lens. Black and white, a woodcut, a woman's profile, eyes open.
Zhou Yan enlarged the caption window and looked a long time. Seventeen years she had looked at closed eyes—Zhou Yao carving them from her teens to twenty-eight, the eyelid line always slack; slack, fallen, and the face belonged to itself. This one wasn't slack. The eyes were open, a small ring of blank paper at the pupil, the gaze cast out of the picture, low and to the left, landing not far past the frame. Whoever looked at the picture followed that gaze and found a bare wall.
Zhou Yan typed: Carved from whom?
Zhou Yao said: Don't ask.
Zhou Yan asked no further. She asked: Does the picture have a name? Zhou Yao said: The picture isn't signed; the block is. In the lower right of this block is her seal—the first one cut after the workshop passed to her. Zhou Yan typed: Where should it hang?
Zhou Yao said: Your office. Hang it high, on the same level as your S table. Then she took the picture away from the lens and said she'd mail it next week. Before that she added one more thing: this one cost four spoiled blocks. The first four, carved out—the eyes were dead. Her master said what was dead wasn't the knife work, it was the destination—an open-eyed person has to have somewhere she's going; carve where she's going, and the eyes live. On the fifth she moved the blank half a cell, and they lived.
The picture arrived on July 20. She set the nail herself and hung it on the level beside the S-table printouts, stepped back, and leveled it twice.
When it was hung she sat back down at the desk and looked up once. The woman's gaze crossed the frame, low, to the left, and landed on the desk. On the desk lay printouts, the terminal, pencils, and the bone-conduction headset, set to the right of the printouts, its cord coiled twice. She followed the gaze over. It landed half a foot from the headset. She looked a while. She didn't move the headset, and she didn't move the picture.
That night she finished checking the day's S table—line 6,016, 0.37—and signed. The page footer ran its three columns as always: lines to date, days of flat line, days to the fifth package. The third column read eighty-one. The duty roster had turned over a generation of hands; those three columns the first generation had added on their own. No one had asked for them, and they had never broken.
Then she opened the listening-method file, fair-copied the "finger-reading" section, and entered the fourth package's measured numbers into the "scale." Done, she turned to the desk calendar, flipped forward three months to the square for October 9, and drew a circle around it in pencil. Then she set the headset against her left mastoid, started from 340, four tones, played through three times.
On the third pass, when 180 came, her fingertips pressed the edge of the desk and counted out the ten seconds with that tone.