Levels, tiers, titles, badges. None of it is for sale, all of it is on your name where other people can see it, and this page is the full list so you know what you are chasing.
Every level costs exactly 4,000 XP. The 400th costs what the 1st did, so nobody hits a wall where progress quietly stops meaning anything.
Buyable. There is no pack, no boost, no subscriber multiplier. A Pass buys you more chances to play ranked, and that is the entire extent of it. The number next to your name means the same thing whoever is wearing it.
Your level badge changes colour and mark every 100 levels. Eleven of them. The last one is a moving gradient and you have to get to level 1,000, so if you ever see one in the wild, that person has problems.
Natural
level 0 to 99
Integer
level 100 to 199
Rational
level 200 to 299
Irrational
level 300 to 399
Transcendental
level 400 to 499
Series
level 500 to 599
Derivative
level 600 to 699
Integral
level 700 to 799
Residue
level 800 to 899
Nabla
level 900 to 999
Unbounded
level 1000 and up
Earned by how deep you get in ranked Diverge, and permanent once earned. Shown next to your name in the top ten, or anywhere at all if you hold a Founding Pass.
Every week you play in a group of up to 10 at your tier. The top of the group moves up on Monday, the bottom drops, and fewer go up the higher you climb.
Easiest first. They show on your profile and next to your name on every leaderboard, and none of them can ever be taken away once you have it.
Bug Finder
legendaryFind a real bug or exploit and report it to us instead of using it. Given by hand, once it is confirmed and fixed. Email support@playasymptote.com.
Warm
bronzeThree days in a row. It is a start.
Habit
bronzeTurn up seven days running.
Fortnight
silverTwo weeks without missing a day.
Ritual
silverThirty days in a row. This is a lifestyle now.
Season
goldSixty days straight. The seasons changed. You did not.
Obsession
legendaryA hundred days without missing one. We are slightly worried.
Orbit
legendaryA whole year without missing a day. Once round the sun.
Quick Study
silverSolve 15 in one Sprint.
Untouchable
silverRun a whole Sprint to the buzzer without one strike.
Brisk
silverSolve 20 in one Sprint.
Clean Sheet
silverFive Sprints to the buzzer without a strike.
Blur
goldSolve 25 in one Sprint. Show off.
Supersonic
goldSolve 30 in one Sprint. That is one every ten seconds.
Flawless
goldTwenty-five Sprints without a single strike.
Sketched
bronzeName a curve in a ranked Curve Sprint. From the graph alone.
Plotter
bronzeName 3 curves in one ranked Curve Sprint.
Sketchbook
bronzeName 25 curves in Curve Sprints, all told. Practice counts.
Fluent
silverName 6 curves in one ranked Curve Sprint. You read graphs now.
Sharp Eye
silverName three curves on the first guess in one Curve Sprint.
Steady Hand
silverRun a Curve Sprint to the buzzer without a strike, naming at least four.
Bestiary
silverName 100 curves in Curve Sprints. Every family, many times over.
Clairvoyant
goldName 10 curves in one ranked Curve Sprint. One every thirty seconds.
Deep Water
silverSolve a difficulty 10 problem. It bites.
The Abyss
goldSolve a difficulty 15 problem. It bites back.
The Ceiling
legendarySolve a difficulty 20 problem. There is nothing harder.
First Mark
bronzeFinish a run. Any run. We are not fussy.
Regular
bronzeFinish ten runs. You are a regular now, like it or not.
Century
bronzeSolve 100 problems. That is a lot of chain rule.
Hour Deep
bronzeAn hour of your life, total, spent on this.
Long Haul
silverTen hours, total. Time well spent, arguably.
Committed
silverFinish 100 runs.
Millennium
goldSolve 1,000 problems. Touch grass afterwards.
Summation
goldSolve 5,000 problems.
Centurion
goldA hundred hours. We should probably talk.
Furniture
legendaryFinish 1,000 runs. You are part of the furniture.
Aleph
legendarySolve 10,000 problems. That is not a hobby any more.
Tenfold
bronzeReach level 10.
Quarter
silverReach level 25.
Halfway
goldReach level 50. Halfway to a prestige.
Moving Up
bronzeFinish a league week in the promotion places and go up a tier.
Arbitrarily Close
goldReach the Limit league, tier five of ten.
Riemann Sum
legendaryReach the Riemann league, where the symbols start following you.
Champion
legendaryWin a week in the Asymptote league. First place, at the very top.
Integer
legendaryHit level 100 and prestige. Welcome to Integer.
Rational
legendaryReach level 200: prestige 2, Rational.
Irrational
legendaryReach level 300: prestige 3, Irrational.
Transcendental
legendaryReach level 400: prestige 4, Transcendental.
Series
legendaryReach level 500: prestige 5, Series.
Derivative
legendaryReach level 600: prestige 6, Derivative.
Integral
legendaryReach level 700: prestige 7, Integral.
Residue
legendaryReach level 800: prestige 8, Residue.
Nabla
legendaryReach level 900: prestige 9, Nabla.
Unbounded
legendaryReach level 1000: prestige 10, Unbounded.
These are not about being good. They are about being early, and no amount of playing later will get you one.
Charter
legendaryBe one of the first 100 accounts ever made here.
Retired. Closed 18 September 2026, when account 100 was made. Only 100 will ever exist.
Axiom
relicBe one of the FIRST 100 Founding Passes, not just one of the 1,000. The thing everything else was built on.
92 of the first 100 left
Pioneer
mythicBe one of the first 100 to reach level 5. Founding Pass holders only need level 3. Earned, not given.
83 of 100 left