Σn≥0 φ−n = φ2 = φ + 1
A finite whole, released on a golden decay.
Set when you arrive and how long you stay, and the spiral lights the exact stretch of the stream you were present for.
of all that will ever exist, earned across your stay
Each epoch releases 1/φ of the one before, so the ideal series remains bounded, and the lit stretch of the spiral is exactly the part of it covered by your chosen window.
Every figure is a fraction of the cap and assumes your weighted share of total presence stays constant across the selected window.
Robinhood built its chain to put ownership within ordinary reach: a permissionless layer on the Arbitrum stack, settling to Ethereum, made for tokenised real-world assets and open to anyone without an intermediary. Its sequencer takes transactions strictly in the order they arrive, so priority on this chain is one thing money cannot pay for. Perpetuity carries that refusal into yield: presence in the stream is the chain's own ether, epochs are counted in its blocks, and what the instrument rewards is exactly what the chain protects, which is being there, and staying.
The proposed mechanism, in the order it would touch a participant.
The production design accepts the chain's own ether as presence. A final audited deployment would hold it under fixed contract law.
Each block releases a fixed instalment of $PERPET on the golden decay, divided by weighted presence.
Accrual banks to an address and can mint to its wallet, within the hard cap.
The design returns withdrawn principal and stops accrual on that amount at the accounting boundary.
Perpetuity prices the one advantage capital cannot buy. Money can purchase size at any moment, and on most venues it can purchase priority too, yet it cannot purchase an earlier arrival once the moment has passed, and it cannot purchase endurance it has not yet given. The stream releases a fixed, finite whole on a golden decay and divides every release by weighted presence, so a position's share is set by what it placed, when it arrived, how long it stayed and the competing weight present throughout. A commitment goes one step further: the term begins settled, banks what it earns until maturity, and seals the position while it stands, and breaking it early costs only the banked accrual, because the teeth of a promise close on the gold and never on the ether.
The release gate, stated before a production address exists.
No Perpetuity contract is published on mainnet. Any address presented as the production instrument is unauthorised.
The final bytecode passes a twenty-five-test suite, numerical verification against the exact identities, and adversarial review by independent reviewers before it can accept value. No external audit firm has been engaged, and that is stated here rather than implied otherwise.
A production release must publish verified source, bytecode hashes, parameters, activation block, ownership state and post-deploy checks together.
The mechanism is derived layer by layer in the mathematics and checked numerically beside it. The contract is deliberately small, holds no owner and no upgrade path, and its full source will be verified on the explorer at release, so anyone can read exactly what holds their ether. Read the source before you trust it, whatever this page says.
The public site and interactive model are live. The production protocol is not deployed. Mainnet addresses will appear only after the final mechanism, audit and deployment checks are complete.
The ideal schedule, rendered directly from the equation.
Each bar is one epoch's release as a fraction of the cap. This is a model, with no live epoch highlighted.
| Term promised | Weight while it stands |
|---|
w(n) = 1 + Σφ⁻ᵏ, rising through φ, 2 and √5, and never past φ² = 2.618.
Production cadence, activation and integer-tail behaviour remain release parameters, not facts supplied by this model.