y=b^x

CA: 2Ji5aZm9Y3FBBhVaFpXCCL2yzUxSgUH3kzhq9P6Bpump Creator rewards stream directly into the on-chain program, where they are split between two program-owned PDAs. Half is retained as SOL reserve backing the circulating supply, while the other half accumulates as bid capital that can only be deployed below the current floor, buying tokens from the market and permanently removing them from circulation. As the system runs, the reserve grows while circulating supply contracts. The floor is simply R/S, reserve divided by circulating supply, so both sides of the system push the same variable upward over time. More SOL behind fewer tokens means the mathematically backed floor has one direction: up. Program PDA: solscan.io/account/28DeyE…

Second buyback + burn executed by on-chain pda program: solscan.io/tx/2A4dR9pS4Ui… The system is working, the shellshock effect is taking place.

the exponential curve x.com/i/spaces/1pKdR…

live on @pumpfun, please join I still believe many of you do not understand the mechanics of this. will be live to explain it all pump.fun/coin/2Ji5aZm9Y…

If the current volume sustains itself at roughly $30K per hour, that means the permanent market cap floor should be around $110K roughly 24 hours from now. The more volume the system processes, the higher that floor moves. At the same pace, a week of sustained volume would put the permanent floor around a $1M market cap, backed directly by the reserve accumulated on-chain. This means that even if every holder were to sell, it would be impossible to go below the intended market cap.

First buyback + burn executed by the program. The system is working exactly as intended: creator fees accumulated on-chain, the bid executed once price moved below the reserve floor, and every token filled was permanently removed from circulation. The first full cycle is now complete. tx: solscan.io/tx/4TnKaN77LE1… program: solscan.io/account/28DeyE…

Someone who has spent an unreasonable amount of time obsessing over liquidity pool dynamics, reserve structure, and what happens when the rules beneath a market are enforced by code instead of managed after the fact. The infrastructure I wanted still does not really exist on Solana, so I built the first version of it myself: a program-controlled market where PDAs hold the state, creator rewards feed a reserve and below-floor bid, and the underlying floor is mathematically constrained to move upward over time. the-exponentialcurve.com

The floor is mathematically designed to move in one direction over time. It is simply R/S: SOL held in reserve divided by circulating supply. Every reserve inflow increases R, while every below-floor buyback permanently reduces S. Redemptions cannot push the ratio lower, and with the exit fee retained in reserve they push it higher. As the program runs, more SOL sits behind fewer circulating tokens, so the floor is structurally non-decreasing and compounds upward with activity. $y=bˣ

Once 10 SOL accumulates in creator rewards, the reserve becomes claimable at the program level, rate-limited to one claim per minute. Every claim is split 50/50 between the SOL reserve backing circulating supply and the bid allocation waiting beneath the current floor. From there, each claim adds more backing to the reserve while the bid side accumulates capital to buy and permanently remove supply whenever price trades below R/S. You can track the reserve, floor, circulating supply, and your proportional share directly here: the-exponentialcurve.com

Please understand this is not your standard pumpfun memecoin. Underneath the token is an on-chain program with program-owned PDAs controlling a SOL reserve, bid capital, redemption, and the conditions under which supply can be bought and permanently removed. Creator rewards continuously feed that system. Half increases the reserve backing circulating supply, while half accumulates for buybacks that can only execute below the current floor. Reserve goes up, supply comes down, and the underlying floor, R/S, is designed to move higher over time. the-exponentialcurve.com

Accumulated SOL in the reserve can be claimed through the on-chain program, rate-limited to one claim per minute. Each claim is split between the reserve and below-floor bid, with the updated backing reflected on-chain. Connect your wallet on the site to view your balance, your proportion of circulating supply, and the share of the reserve backing your position as it updates. the-exponentialcurve.com

ETH has @Uniswap v4 hooks. Solana still lacks the infrastructure for attaching arbitrary logic directly to the lifecycle of a pool, which means these mechanics have to live inside their own on-chain programs, with PDAs holding and enforcing the underlying state. Introducing the-exponentialcurve.com, an on-chain program pda that converts creator rewards into a reserve-backed floor designed to move higher over time. The mechanic is simple. Creator rewards are split 50/50 by the program: half is added to a SOL reserve backing the circulating supply, while the other half is set aside to buy the token on the open market and permanently burn what it fills. One side adds backing. The other removes supply. Both affect the same floor: floor = reserve / circulating supply As creator rewards accumulate, the reserve side continuously adds SOL to the numerator. The buy-and-burn side accumulates capital until the token trades below the current floor, then uses that capital to buy tokens from the market and permanently remove them from circulation. Those buys can only execute below the floor. The program checks the realized price of the fill, and if it ends up paying more for a token than the SOL currently backing that token, the transaction reverts. This prevents buybacks from ever reducing reserve backing per remaining token. Redemption follows the same directional constraint. Holders can redeem tokens against their proportional share of the SOL reserve, causing reserve and circulating supply to contract together. Without a fee, R/S remains unchanged. With the 3% exit fee retained in the reserve, less SOL leaves relative to the amount of supply removed, causing the floor to increase for everyone who remains. As volume continues to pass through the market, SOL accumulates, supply contracts, and the floor is designed to ratchet higher over time. Program PDA: solscan.io/account/28DeyE…