The Arithmetic of Survival
The smell of mildew was the first thing that convinced me I wasn't in a hospital. The second was the cold stone pressing against my cheek, rough and damp, like the floor of the parking garage I used to park in during the winter months when the good spots were taken. I opened my eyes to a world of gray: gray walls, gray light filtering through a barred window set high above, gray straw scattered across the floor beneath me.
I was in a cell.
I sat up slowly, my head throbbing with a dull, persistent ache that felt less like a head injury and more like the aftermath of three consecutive all-nighters. My hands were bound in front of me with rough rope that had already chafed my wrists raw. I was wearing clothes that weren't mine—a heavy woolen dress the color of dried blood, with intricate embroidery along the collar that I could feel but not see. The fabric was expensive. The cell was not.
Panic clawed at my throat. I swallowed it down the way I swallowed down bad news from clients: methodically, one breath at a time, cataloging the facts.
Fact one: I was not in my body. This body was taller, thinner, with longer fingers and a faint scar across my left thumb that I'd never had.
Fact two: I was in a prison cell, bound, with no memory of how I got here.
Fact three: The last thing I remembered was a paper jam, a wobbly chair, and the sharp corner of a filing cabinet.
I closed my eyes and breathed. In through the nose, out through the mouth. The panic receded to a manageable hum, like the background noise of an office HVAC system. I'd survived worse. I'd survived the 2008 recession, the 2015 tax code overhaul, and a merger that had eliminated three entire departments while somehow keeping me. I could survive this.
I opened my eyes and took stock of my surroundings with the same attention to detail I'd apply to a suspicious ledger entry.
The cell was roughly ten feet by eight feet. One window, barred, too high to reach even if I stood on tiptoe. One door, solid iron, with a small sliding panel at eye level. A bucket in the corner that I chose not to examine too closely. And on the floor, near the door, a piece of paper that had been shoved through the gap beneath it.
I shuffled over on my knees, the rope biting into my wrists, and picked it up.
It was a warrant. My warrant. For the execution of one Lady Seraphina Vane, accused of high treason against the Aetherian Empire, for the crime of conspiring to defraud the Imperial Treasury of soul-credits. The sentence was death by soul-reclamation, scheduled for dawn.
I read it twice. Then a third time, because the numbers weren't adding up.
The document was dense with legalese and flourishes of calligraphy that made my eyes ache, but the relevant section was clear enough. It listed the debt owed to the crown: 12,847 soul-credits, plus interest accrued over a period of seven years, at a rate of 4.3% compounded quarterly.
I stared at the number. Then I did the math in my head.
12,847 soul-credits at 4.3% compounded quarterly for seven years. That was 12,847 multiplied by (1 + 0.043/4) raised to the power of 28. I worked through it quickly, the numbers clicking into place like the tumblers of a lock.
The correct figure was 17,241.83. The warrant said 17,241.83.
But the line above it, the one that listed the "original principal," said 12,847. And the line below it, the one that listed the "total debt owed to the crown," said 17,241.83.
That was correct. So why did something feel off?
I read the warrant again, slower this time, my eyes tracing each line like a finger following a column of figures. And then I found it.
The arrest date. The warrant was dated the 3rd of Emberfall, in the 847th year of the Aetherian Empire. But the crime was alleged to have occurred on the 15th of Frostmarch, in the 840th year.
Seven years and change. That matched the interest calculation.
But the warrant also listed a "prior judgment" against Lady Seraphina Vane—a civil penalty of 2,000 soul-credits, levied three years ago for "failure to maintain proper accounts." That penalty, according to the warrant, had been "consolidated into the principal."
I did the math again. 12,847 minus 2,000 was 10,847. If the original debt was 10,847, and the 2,000 penalty was added at the time of the judgment—three years ago—then the interest should have been calculated on the original 10,847 for the first four years, and on the full 12,847 for the remaining three years.
That would give a different total. A lower total.
I worked through it: 10,847 multiplied by (1 + 0.043/4) raised to the power of 16, then multiplied by (1 + 0.043/4) raised to the power of 12. The result was 16,892.47.
The warrant said 17,241.83.
A difference of 349.36 soul-credits.
It wasn't a rounding error. It wasn't a typo. It was a systematic misapplication of the compounding formula—the kind of error that, in my world, would have gotten a junior accountant fired and a senior accountant sued. The kind of error that, in this world, apparently got a woman sentenced to death.
I laughed. It came out as a dry, brittle sound that echoed off the stone walls.
Of course. Of course I'd wake up in a fantasy world and the first thing I'd find was a math error. The universe had a sense of humor. It had killed me with a paper jam and resurrected me as a condemned traitor with an incorrectly calculated debt.
I looked at the warrant again. The execution was scheduled for dawn. I had no idea what time it was now, but the light through the window had the gray, diffuse quality of early morning or late afternoon. If it was morning, I had maybe a day. If it was afternoon, I had less.
I needed to see someone. I needed to make them listen.
I shuffled to the door and banged on it with my bound fists. The iron rang like a bell, the sound sharp and jarring in the small space.
"Hello?" I called out. My voice came out higher than I expected, with a slight tremor that I didn't like. I cleared my throat and tried again. "Hello! I need to speak to someone about this warrant!"
Silence. Then, after a long moment, the sliding panel at eye level rattled open. A pair of eyes peered through—small, dark, and deeply unimpressed.
"What?" The voice was male, gruff, and carried the unmistakable accent of someone who had been doing this job for far too long.
"My warrant," I said, holding up the paper. "There's an error in the calculation. The interest was compounded incorrectly. The total debt should be 16,892.47, not 17,241.83. I demand a re-audit."
The eyes blinked. "You what?"
"A re-audit," I repeated, enunciating each word carefully. "The debt owed to the crown is overstated by 349.36 soul-credits. That's a material discrepancy. I have the right to request a formal review of my accounts before execution."
The eyes stared at me for a long moment. Then the panel slid shut.
I waited. One minute. Two. Five.
The panel slid open again. The same eyes, but this time they were joined by a second pair—younger, wider, with a hint of curiosity that the first pair lacked.
"Did you just say the warrant's wrong?" the younger voice asked.
"Yes," I said. "The math is incorrect. I can show you. I can show anyone. Just give me a chance to present my calculations."
The younger eyes glanced at the older ones. "Should we get the warden?"
"Warden's busy," the older voice said. "Execution's at dawn. He's got the paperwork to do."
"Then get someone else. Anyone. A clerk. A magistrate. A scribe. Someone who can read numbers."
The older eyes narrowed. "You're the traitor. The one who tried to cheat the Treasury."
"I'm an accountant," I said. "And I didn't try to cheat anyone. But even if I had, the warrant is still wrong. The math doesn't lie."
The younger eyes lit up with something that might have been amusement. "She's got a point, Gren. If we execute her and the numbers are wrong, that's a paperwork nightmare."
The older voice grumbled something I couldn't hear. The panel slid shut.
I leaned against the door, my heart pounding in my chest. I'd done what I could. I'd planted the seed. Now I just had to wait and see if it grew.
The minutes crawled by. I counted them, because that's what I did. I counted the seconds, the breaths, the beats of my heart. I counted the cracks in the stone wall—forty-seven of them, ranging from hairline fractures to a gap wide enough to fit my thumb. I counted the bars on the window—seven, spaced evenly, each one as thick as my wrist.
I was on my third count of the straw on the floor when the door opened.
The man who stepped through was not a warden. He was not a clerk or a magistrate or a scribe. He was tall, with sharp features and sharper eyes, dressed in a dark uniform that bore the silver insignia of the Imperial Treasury. A thin scar ran from his left temple to his jaw, cutting through a face that looked like it had been carved from granite and left to weather.
He carried a ledger under one arm. A real ledger, bound in dark leather with brass corners. The sight of it made my chest ache with something that felt dangerously close to homesickness.
"Lady Vane," he said. His voice was flat, professional, and utterly devoid of warmth. "I understand you're claiming an error in your warrant."
"I'm not claiming an error," I said. "I'm demonstrating one. The interest calculation is wrong. The total debt is overstated by 349.36 soul-credits."
He looked at me for a long moment. Then he opened the ledger and flipped to a page. "Show me."
I held up my bound hands. "I can't write like this. But I can talk you through it."
He studied me, his eyes flicking over my face, my hands, the warrant still clutched in my fingers. Then he reached into his belt and produced a knife. In one smooth motion, he cut the rope binding my wrists.
I rubbed the raw skin, trying to ignore the sting. "Thank you."
"Don't thank me yet. If your math is wrong, I'll have you re-bound and we'll proceed with the execution as scheduled."
"Fair enough." I held out my hand. "May I see the ledger?"
He hesitated. Then he handed it to me.
The ledger was heavy, the pages thick and yellowed with age. I flipped to the section he'd opened—a page titled "Vane, Seraphina—Crown Debt Account." The entries were handwritten in a neat, precise script, each line dated and annotated with a reference number.
I scanned the entries, my eyes moving faster than they should have, picking out the numbers, the dates, the interest postings. It was all there. The original debt of 10,847. The civil penalty of 2,000, added three years ago. The quarterly interest postings, each one calculated at 4.3% compounded.
And there, in the third year, was the error.
"This entry," I said, pointing to a line dated the 1st of Frostmarch, in the 844th year. "The interest was calculated on the full principal of 12,847. But the penalty wasn't added until the 15th of Frostmarch. The interest for that quarter should have been calculated on 10,847, not 12,847."
The man leaned over, his eyes following my finger. "The penalty was backdated."
"It can't be backdated. The penalty was levied on the 15th. The interest posting is dated the 1st. The penalty didn't exist yet. Whoever made this entry applied the penalty retroactively and compounded the interest on the inflated principal."
He was silent for a long moment. Then he took the ledger from my hands and studied the page himself.
"The difference," he said slowly, "is 349.36 soul-credits."
"Correct."
He looked up at me. His eyes were unreadable, but something had shifted in his expression. A crack in the granite.
"Who taught you to audit?" he asked.
"I taught myself," I said. "I had a lot of time and a lot of bad spreadsheets."
He didn't laugh. But he didn't look away either.
"Stay here," he said. "I'll be back."
He turned and left, the door clanging shut behind him. I sank down onto the straw, my legs suddenly weak, my heart pounding in my chest.
I'd bought myself time. Not much, but some. Time to figure out where I was, who I was supposed to be, and how the hell I was going to survive in a world where math errors got people executed.
I looked down at the warrant in my hands. The numbers swam before my eyes.
349.36 soul-credits. A small discrepancy. A tiny crack in the foundation of an empire.
I was going to find out how deep it went.
I was in a cell.
I sat up slowly, my head throbbing with a dull, persistent ache that felt less like a head injury and more like the aftermath of three consecutive all-nighters. My hands were bound in front of me with rough rope that had already chafed my wrists raw. I was wearing clothes that weren't mine—a heavy woolen dress the color of dried blood, with intricate embroidery along the collar that I could feel but not see. The fabric was expensive. The cell was not.
Panic clawed at my throat. I swallowed it down the way I swallowed down bad news from clients: methodically, one breath at a time, cataloging the facts.
Fact one: I was not in my body. This body was taller, thinner, with longer fingers and a faint scar across my left thumb that I'd never had.
Fact two: I was in a prison cell, bound, with no memory of how I got here.
Fact three: The last thing I remembered was a paper jam, a wobbly chair, and the sharp corner of a filing cabinet.
I closed my eyes and breathed. In through the nose, out through the mouth. The panic receded to a manageable hum, like the background noise of an office HVAC system. I'd survived worse. I'd survived the 2008 recession, the 2015 tax code overhaul, and a merger that had eliminated three entire departments while somehow keeping me. I could survive this.
I opened my eyes and took stock of my surroundings with the same attention to detail I'd apply to a suspicious ledger entry.
The cell was roughly ten feet by eight feet. One window, barred, too high to reach even if I stood on tiptoe. One door, solid iron, with a small sliding panel at eye level. A bucket in the corner that I chose not to examine too closely. And on the floor, near the door, a piece of paper that had been shoved through the gap beneath it.
I shuffled over on my knees, the rope biting into my wrists, and picked it up.
It was a warrant. My warrant. For the execution of one Lady Seraphina Vane, accused of high treason against the Aetherian Empire, for the crime of conspiring to defraud the Imperial Treasury of soul-credits. The sentence was death by soul-reclamation, scheduled for dawn.
I read it twice. Then a third time, because the numbers weren't adding up.
The document was dense with legalese and flourishes of calligraphy that made my eyes ache, but the relevant section was clear enough. It listed the debt owed to the crown: 12,847 soul-credits, plus interest accrued over a period of seven years, at a rate of 4.3% compounded quarterly.
I stared at the number. Then I did the math in my head.
12,847 soul-credits at 4.3% compounded quarterly for seven years. That was 12,847 multiplied by (1 + 0.043/4) raised to the power of 28. I worked through it quickly, the numbers clicking into place like the tumblers of a lock.
The correct figure was 17,241.83. The warrant said 17,241.83.
But the line above it, the one that listed the "original principal," said 12,847. And the line below it, the one that listed the "total debt owed to the crown," said 17,241.83.
That was correct. So why did something feel off?
I read the warrant again, slower this time, my eyes tracing each line like a finger following a column of figures. And then I found it.
The arrest date. The warrant was dated the 3rd of Emberfall, in the 847th year of the Aetherian Empire. But the crime was alleged to have occurred on the 15th of Frostmarch, in the 840th year.
Seven years and change. That matched the interest calculation.
But the warrant also listed a "prior judgment" against Lady Seraphina Vane—a civil penalty of 2,000 soul-credits, levied three years ago for "failure to maintain proper accounts." That penalty, according to the warrant, had been "consolidated into the principal."
I did the math again. 12,847 minus 2,000 was 10,847. If the original debt was 10,847, and the 2,000 penalty was added at the time of the judgment—three years ago—then the interest should have been calculated on the original 10,847 for the first four years, and on the full 12,847 for the remaining three years.
That would give a different total. A lower total.
I worked through it: 10,847 multiplied by (1 + 0.043/4) raised to the power of 16, then multiplied by (1 + 0.043/4) raised to the power of 12. The result was 16,892.47.
The warrant said 17,241.83.
A difference of 349.36 soul-credits.
It wasn't a rounding error. It wasn't a typo. It was a systematic misapplication of the compounding formula—the kind of error that, in my world, would have gotten a junior accountant fired and a senior accountant sued. The kind of error that, in this world, apparently got a woman sentenced to death.
I laughed. It came out as a dry, brittle sound that echoed off the stone walls.
Of course. Of course I'd wake up in a fantasy world and the first thing I'd find was a math error. The universe had a sense of humor. It had killed me with a paper jam and resurrected me as a condemned traitor with an incorrectly calculated debt.
I looked at the warrant again. The execution was scheduled for dawn. I had no idea what time it was now, but the light through the window had the gray, diffuse quality of early morning or late afternoon. If it was morning, I had maybe a day. If it was afternoon, I had less.
I needed to see someone. I needed to make them listen.
I shuffled to the door and banged on it with my bound fists. The iron rang like a bell, the sound sharp and jarring in the small space.
"Hello?" I called out. My voice came out higher than I expected, with a slight tremor that I didn't like. I cleared my throat and tried again. "Hello! I need to speak to someone about this warrant!"
Silence. Then, after a long moment, the sliding panel at eye level rattled open. A pair of eyes peered through—small, dark, and deeply unimpressed.
"What?" The voice was male, gruff, and carried the unmistakable accent of someone who had been doing this job for far too long.
"My warrant," I said, holding up the paper. "There's an error in the calculation. The interest was compounded incorrectly. The total debt should be 16,892.47, not 17,241.83. I demand a re-audit."
The eyes blinked. "You what?"
"A re-audit," I repeated, enunciating each word carefully. "The debt owed to the crown is overstated by 349.36 soul-credits. That's a material discrepancy. I have the right to request a formal review of my accounts before execution."
The eyes stared at me for a long moment. Then the panel slid shut.
I waited. One minute. Two. Five.
The panel slid open again. The same eyes, but this time they were joined by a second pair—younger, wider, with a hint of curiosity that the first pair lacked.
"Did you just say the warrant's wrong?" the younger voice asked.
"Yes," I said. "The math is incorrect. I can show you. I can show anyone. Just give me a chance to present my calculations."
The younger eyes glanced at the older ones. "Should we get the warden?"
"Warden's busy," the older voice said. "Execution's at dawn. He's got the paperwork to do."
"Then get someone else. Anyone. A clerk. A magistrate. A scribe. Someone who can read numbers."
The older eyes narrowed. "You're the traitor. The one who tried to cheat the Treasury."
"I'm an accountant," I said. "And I didn't try to cheat anyone. But even if I had, the warrant is still wrong. The math doesn't lie."
The younger eyes lit up with something that might have been amusement. "She's got a point, Gren. If we execute her and the numbers are wrong, that's a paperwork nightmare."
The older voice grumbled something I couldn't hear. The panel slid shut.
I leaned against the door, my heart pounding in my chest. I'd done what I could. I'd planted the seed. Now I just had to wait and see if it grew.
The minutes crawled by. I counted them, because that's what I did. I counted the seconds, the breaths, the beats of my heart. I counted the cracks in the stone wall—forty-seven of them, ranging from hairline fractures to a gap wide enough to fit my thumb. I counted the bars on the window—seven, spaced evenly, each one as thick as my wrist.
I was on my third count of the straw on the floor when the door opened.
The man who stepped through was not a warden. He was not a clerk or a magistrate or a scribe. He was tall, with sharp features and sharper eyes, dressed in a dark uniform that bore the silver insignia of the Imperial Treasury. A thin scar ran from his left temple to his jaw, cutting through a face that looked like it had been carved from granite and left to weather.
He carried a ledger under one arm. A real ledger, bound in dark leather with brass corners. The sight of it made my chest ache with something that felt dangerously close to homesickness.
"Lady Vane," he said. His voice was flat, professional, and utterly devoid of warmth. "I understand you're claiming an error in your warrant."
"I'm not claiming an error," I said. "I'm demonstrating one. The interest calculation is wrong. The total debt is overstated by 349.36 soul-credits."
He looked at me for a long moment. Then he opened the ledger and flipped to a page. "Show me."
I held up my bound hands. "I can't write like this. But I can talk you through it."
He studied me, his eyes flicking over my face, my hands, the warrant still clutched in my fingers. Then he reached into his belt and produced a knife. In one smooth motion, he cut the rope binding my wrists.
I rubbed the raw skin, trying to ignore the sting. "Thank you."
"Don't thank me yet. If your math is wrong, I'll have you re-bound and we'll proceed with the execution as scheduled."
"Fair enough." I held out my hand. "May I see the ledger?"
He hesitated. Then he handed it to me.
The ledger was heavy, the pages thick and yellowed with age. I flipped to the section he'd opened—a page titled "Vane, Seraphina—Crown Debt Account." The entries were handwritten in a neat, precise script, each line dated and annotated with a reference number.
I scanned the entries, my eyes moving faster than they should have, picking out the numbers, the dates, the interest postings. It was all there. The original debt of 10,847. The civil penalty of 2,000, added three years ago. The quarterly interest postings, each one calculated at 4.3% compounded.
And there, in the third year, was the error.
"This entry," I said, pointing to a line dated the 1st of Frostmarch, in the 844th year. "The interest was calculated on the full principal of 12,847. But the penalty wasn't added until the 15th of Frostmarch. The interest for that quarter should have been calculated on 10,847, not 12,847."
The man leaned over, his eyes following my finger. "The penalty was backdated."
"It can't be backdated. The penalty was levied on the 15th. The interest posting is dated the 1st. The penalty didn't exist yet. Whoever made this entry applied the penalty retroactively and compounded the interest on the inflated principal."
He was silent for a long moment. Then he took the ledger from my hands and studied the page himself.
"The difference," he said slowly, "is 349.36 soul-credits."
"Correct."
He looked up at me. His eyes were unreadable, but something had shifted in his expression. A crack in the granite.
"Who taught you to audit?" he asked.
"I taught myself," I said. "I had a lot of time and a lot of bad spreadsheets."
He didn't laugh. But he didn't look away either.
"Stay here," he said. "I'll be back."
He turned and left, the door clanging shut behind him. I sank down onto the straw, my legs suddenly weak, my heart pounding in my chest.
I'd bought myself time. Not much, but some. Time to figure out where I was, who I was supposed to be, and how the hell I was going to survive in a world where math errors got people executed.
I looked down at the warrant in my hands. The numbers swam before my eyes.
349.36 soul-credits. A small discrepancy. A tiny crack in the foundation of an empire.
I was going to find out how deep it went.