pat0contracttoken
boardcurvepressurecisterndocs
market
price
market cap
fully diluted
liquidity
volume 24h
trades 24h
holders
change 24h
state
supply
headroom
cistern
position
curve price
book
pressure
budget this block
used this block
target
pressure settled at block
mints seen
burns seen
patenters curvesurchargeissues
0.25 eth
0.50 eth
1.00 eth
2.00 eth
patpays
burn 1 000
the curve
02125121 0241 5362 0483 0724 09608 388 60816 777 21625 165 82433 554 43233 554 432½ K¾ K15⁄16 Ke = 0 · q = 0e = 212 · q = ½ Ke = 512 · q = ¾ Ke = 1536 · q = 15⁄16 K
supply against position. drawn from q(e), not from a feed. the marker shows the live position when the address is configured.
price by the cube
02125121 0241 5362 0483 0724 0961×8×64×512×e = 512e = 1536p(0) = 7 629 394 531 250 weip(512) = 8 p(0)p(1536) = 64 p(0)p(3584) = 512 p(0)
marginal price against position, ruled in multiples of the opening price. the marker shows the live curve price.
pressure
under target every blockunder target, pressure has nowhere to go but zero.full every block12341.0 at block 36full then idle12340.0001690816243240485664
how pressure moves block to block for three patterns of use. drawn from the settlement rule, not from a feed.
the block
targetbudget0budget = headroom >> 7 · target = budget >> 1 · a block that issues past target raises pressure, a block under target lowers it
one block of budget, drawn as cells. filled cells are tokens already issued in the current block when live.
book against curve
02125121 0241 5362 048238 418 579 101 563476 837 158 203 125715 255 737 304 688953 674 316 406 250the wedgecurve pricebook, no burns, no pressure
book and curve price over the same positions. the wedge between them is what burns can never take.

a reserve with two prices

pat0 is an erc20 on robinhood chain issued by one contract that nobody controls. eth goes in through mint and comes out through burn. the contract holds the eth in a reserve called the cistern, and every token in existence is a claim on a share of it.

minting is priced along a curve that rises with the third power of everything that has ever entered it. burning is priced at book, which is the cistern divided by the supply. the curve price is always at or above book, so a round trip through the contract can never take more out than it put in for the tokens that remain.

pressure

each block has a budget of tokens it may issue, a fixed fraction of what is left under the asymptote. when a block uses more than half its budget, pressure rises for the next block. when a block passes empty, pressure decays by an eighth. pressure splits every mint: part of the eth walks the curve and earns tokens, the rest drops straight into the cistern and earns nothing. crowding into a block pays the reserve, not a middleman.

what the machine will not do

it will not mint for free. it will not let an address burn in the sixty four blocks after that address mints. it will not move eth anywhere but to a burner. it will not change, because there is no key that can change it. everything on this site is read from the contract or from a market feed and computed in the open. the docs tab walks through the arithmetic line by line.

reading this window

the state window on the left is the contract's memory, refreshed every few seconds. the market window above is what a public market feed reports for the token. the plates in the middle are drawn from the formulas and, once the contract is configured, carry a marker for where the live state sits on them.