Small-magnitude remainder
Positive and negative deviations are represented symmetrically around zero. The remainder is interpreted as a bidirectional correction term.
REIST Division · Research project · Status as of 2 August 2026
Documented testnet pilot for the centered-remainder research project
REIST describes an implementation-oriented use of centered remainders for addition-dominated modular compute kernels. A separate ERC-20 pilot, the REIST Research Token, has been deployed on Base Sepolia and provides the technical basis for documented recognition of reproducible implementations and independent evaluations.
Classification: The method works without a token. There is no investment offering; the token confers no equity, redemption, or return rights and is not a mark of scientific quality.
−B/2 ≤ r < B/2
17 = 1 · 10 + 7
REIST17 = 2 · 10 − 3
Mathematical basis
Centered remainders are mathematically classical. REIST's contribution lies in their implementation-oriented use as a persistent state for addition-dominated modular compute kernels.
Positive and negative deviations are represented symmetrically around zero. The remainder is interpreted as a bidirectional correction term.
If both the state and step remain centered, at most one ±B correction returns the sum to the target interval.
Addition, comparisons, and masks enable branchless code, SIMD vectorization, and a small FPGA datapath.
Measurements and scope of validity
All values refer to the platforms, compiler configurations, and baselines documented in the canonical German paper. They are not a general performance guarantee.
Source status: The following table comes from the
canonical German paper published on Zenodo (SHA-256
369B9FB75C1B6D4C2CBBA91FF63DB4420900AB30B6EEC137BFD72290AE7D45C4),
DOI 10.5281/zenodo.21206471, published on 5 July 2026
under CC BY 4.0.
| Workload | Result | Measurement context |
|---|---|---|
| Modular addition counter | 2.1–4.4× | Apple M2 Pro · O3 through NEON |
| Modular addition counter | 7.9–8.9× | Intel i9-14900K · O3 |
| Polynomial addition | 4.3–4.5× | Apple M2 Pro · O3/NEON |
| Polynomial addition | up to 17.0× | Intel i9-14900K · AVX2 |
| Feedback-coupled FPGA accumulator | 1 cycle/step | GW2A-18; isolated 32-bit correction unit: 161.8 MHz · 101 logic cells |
FPGA sources: The VHDL implementation, GHDL testbenches, and Tang Primer 20K build files are publicly accessible. The local GHDL tests pass; the documented synthesis and hardware measurements have not been independently reproduced. An explicit root license is currently absent.
Token specification
The token is intended as a transferable means of recognizing reviewed research contributions; selection and review remain off-chain. It does not accelerate the framework. Access to the paper and code is not tied to token ownership. There is no entitlement to returns or redemption. The full specification is available at REIST Research Token (REIST) — Contract and Allocation.
| Purpose | Amount | Share |
|---|---|---|
| Research Rewards | 700,000 | 70% |
| Ecosystem Treasury | 200,000 | 20% |
| Founder Vesting | 100,000 | 10% |
Founder allocation: one-year cliff and three-year linear vesting. One third is vested at the cliff. The deployment reserved 0% for a public sale and 0% for DEX liquidity. This is project policy, not a technical transfer restriction.
0xF2960B84525dF8Da9C038EA85AE5e3B4D0C26A68
Contribution process
No rewards for advertising, trading, or reach. Suitable work includes implementations, reproductions, hardware ports, and robust negative results.
REIST-B001CPU reproduction
New CPU, raw data, baseline, and negative control.
Draft
REIST-B002Rust reference
Even and odd moduli with property tests.
Draft
REIST-B003RISC-V port
Compiler comparison, assembly, and reproducible measurement.
Draft
Active bounties: 0 · Accepted contributions: 0. Only publicly documented bounties and accepted contributions are counted.
Project status
released and releasable both zero at block 44966505; no token movement since the initial allocation; cliff on 2 August 2027. This point-in-time record is not an audit, payout, future guarantee, or mainnet step.
DOI 10.5281/zenodo.21206471 is canonical for the token
pilot. DOI 10.5281/zenodo.17897540 remains historically
referenced as the earlier public version 2.0. Zenodo identifies the
canonical record as a new version of that predecessor; the
identifiers are not identical.
Sources and reproducibility