Small-magnitude remainder
Positive and negative deviations are represented symmetrically around zero. The remainder is interpreted as a bidirectional correction term.
Research project · Status as of 2 August 2026
REIST Division
Centered remainder arithmetic and a documented research-token pilot
REIST describes an implementation-oriented use of centered remainders for addition-dominated modular compute kernels. A separate ERC-20 pilot is intended to recognize 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.
Centered remainder
Requirement: B > 0
T = qB + r
−B/2
+B/2
−B/2 ≤ r < B/2
Classical
17 = 1 · 10 + 7
REIST17 = 2 · 10 − 3
Project status
- Contract
- 14 local tests passing
- Base Sepolia
- not deployed
- Mainnet
- not approved
- Token sale
- not planned
- External audit
- not yet performed
Mathematical basis
Scope and invariant
Centered remainders are mathematically classical. REIST's contribution lies in their implementation-oriented use as a persistent state for addition-dominated modular compute kernels.
Persistent invariant
If both the state and step remain centered, at most one ±B correction returns the sum to the target interval.
Hardware-friendly
Addition, comparisons, and masks enable branchless code, SIMD vectorization, and a small FPGA datapath.
Measurements and scope of validity
Reported results
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 |
Negative and neutral controls
- Pure remainder computation: scalar O3 is approximately equal; x86 SIMD is slower in the reported test.
- No structural point of application in ARX code such as ChaCha20; the manuscript classifies measured throughput as unchanged.
- Hash mixing is approximately 15–25% slower under O3/SIMD; O0 is substantially worse.
- Without O3/SIMD, branchless REIST can be slower.
Token specification
Fixed ERC-20 model for a testnet pilot
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.
- Name
- REIST Research Token
- Symbol
- REIST
- Supply
- 1,000,000
- Standard
- ERC-20 · 18 decimals
- Mint/Tax/Blacklist
- not present
- Pilot network
- Base Sepolia · no economic value promised
| 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. Planned at launch: 0% public sale and 0% DEX liquidity. This is project policy, not a technical transfer restriction.
Contribution process
Awards following documented review
No rewards for advertising, trading, or reach. Suitable work includes implementations, reproductions, hardware ports, and robust negative results.
- 01Scopepublic issue and criteria
- 02Artifactcode, raw data, and hash
- 03Reviewreproduction and conflicts
- 04TransferSafe transaction with evidence
Bounty register
-
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
Existing work and outstanding prerequisites
Available today
- local, non-upgradeable contract design
- genesis allocation fixed in the constructor
- automatically created founder vesting contract
- local tests and deployment invariants
- public, history-free token release source snapshot
- private channel for sensitive security reports
- prepared bounty and contribution-register formats
Still outstanding
- Base Sepolia deployment and explorer verification
- complete public FPGA sources
- separate treasury Safes and signers
- external contract review
- legal clearance for economically relevant steps
Release gate
Canonical scientific reference
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