PROPRIETARY ZC-RBE

A QUANTUM LEAP IN NUMERICAL-STATE CONTINUITY

Carry selected numerical state far beyond the conventional FP64 boundary, preserve it through the calculation, and return a verified result to the system already in operation. ZC-RBE is a proprietary selective mixed-precision state-routing layer with a tested FP8192 path and FP16384 width headroom.

START PAID TECHNICAL EVALUATION VIEW VALIDATION EVIDENCE
1. Conventional numerical failure 2. ZC-RBE survived the tested failure boundary 3. This was not an isolated small-value test 4. FP8192 path tested; FP16384 width headroom tested 5. Arithmetic was performed inside the bounded domain 6. Long-horizon propagation was demonstrated 7. Speed superiority was not established 8. Buyer can now test the architecture against its own workload 9. Paid evaluation begins immediately

ZC-RBE PQ Integrity Vault

Private proof for the AI era.

A local-first, post-quantum-ready evidence layer for transactions, AI actions, intellectual property, and sensitive numerical state.

“The advent of large-scale quantum computers ... will pose a significant threat to widely used cryptographic security systems.”

President Donald J. Trump, Executive Order 14412, Securing the Nation Against Advanced Cryptographic Attacks, June 22, 2026.

PRIVATE CUSTODYHASH-LINKED RECEIPTSAI / MCP READYNO PUBLIC WALLET TRAIL

Instead of publishing every transaction to a public ledger, the parties retain a local, signed, verifiable record of what happened, when it happened, and what state produced it.

SEE HOW PRIVATE PROOF WORKS

Private Proof / Off-Chain Equivalent

The Personal Blockchain for Private Business

A transaction can be sealed into a private, locally held evidence record instead of exposing the parties’ wallet history to a public chain.

01

Agree and seal

Both parties agree to the transaction terms. The system creates a unique receipt identifier, records the parties, amount, terms, and time, and seals the record with a cryptographic digest.

02

Compute and receipt

RBE preserves the selected numerical state used to create or verify the transaction. The system attaches the state summary, operation record, signed approvals, and output to the receipt.

03

Retain privately

Each party stores its copy locally or in its controlled private vault. The receipt can be indexed by its identifier without publishing a wallet address, balance history, resale path, or downstream activity.

04

Produce when needed

If a dispute, audit, licensing review, or court action arises, the parties produce the exact receipt identifier and verification package. The verifier checks the signature, digest chain, timestamp, source record, and recorded state.

Two Halves / One Verified State

What is sealed on one side appears exactly on the other side.

Both parties hold matching receipt data. The receiving side recomputes the digest and verifies the transferred state before marking the receipt VERIFIED.

SENDER SIDERECEIPT SEALEDRBE-7F4A-8192-A2state digest: 9D7C…41E2
decoded result: MATCH
RECEIVER SIDERECEIPT VERIFIEDRBE-7F4A-8192-A2state digest: 9D7C…41E2
decoded result: MATCH
Plain language: the transaction, state, and result are not reconstructed from memory at the other end. The same canonical receipt is carried, checked, and reproduced there.

Why this is a protection layer

Scientific state + legal evidence

RBE protects the integrity of the computational state behind an action. The evidence vault protects the identity, sequence, custody, and reproducibility of the record. Together they create a private proof object that can be independently checked without exposing the parties’ full transaction history.

Quantum leap in privacy architecture

Post-quantum migration ready

The receipt architecture is designed to pair local evidence custody with NIST-aligned post-quantum key establishment and signatures, while RBE carries the high-range numerical state. It is a quantum leap from public transaction visibility to private, verifiable business evidence.

NIST Post-Quantum Cryptography standards · Executive Order 14412

Private proof gives the authorized parties a sealed identifier and a verification path that can be opened when the business, audit, or legal process requires it.

Illustration & Examples

Four End-to-End Private Proof Transactions

Each example uses the same buyer workflow: create the canonical record, carry the RBE state, seal the receipt, verify the second endpoint, and retain the evidence package locally.

EXAMPLE 01 / PRIVATE BUSINESS SALEBuyer pays supplier without publishing a public wallet trail.
1. CreateInvoice, parties, amount, terms, timestamp
2. ComputeRBE preserves the settlement state and result
3. SealReceipt ID + long state capsule + digest
4. VerifySupplier recomputes and sees VERIFIED
5. RetainBoth sides store the same private evidence packet
receipt_id: RBE-BIZ-8192-001state_capsule: full 7,000-digit RBE record retained privatelydigest: transaction + state + terms + timestampendpoint_result: SENDER = RECEIVER = VERIFIED

FP8192 → FP16384 / ZC-RBE Recorded Scale

FP8192 Proven Path. FP16384 Tested Headroom.

FP8192 is the tested 8,192-bit ZC-RBE path; FP16384 is 2 × 8,192 and was tested as the next width. The recorded scale runs use 7,000-digit reference precision and long-horizon bounded propagation.

What this means: the tested architecture can keep selected numerical state inside its bounded coordinate during repeated propagation and recover the result at the defined output boundary.

Recorded recovery relative error: 7.639350850451435898e-4551. This is benchmarked numerical agreement, not a claim that ordinary 8,192-bit storage can represent every arbitrary 7,000-digit value.

PATH WIDTH8,192 bits
TESTED WIDTH HEADROOM16,384 bits
REFERENCE PRECISION7,000 digits
PROPAGATION1,000,000 steps
RECOVERY GATEPASS

Usage Map

Where the PQ Integrity Vault Fits

01

Private business transactions

Both parties receive a signed local receipt without publishing an address-linked transaction history to a public ledger.

02

AI and MCP actions

Record the prompt, tool call, numerical state, approval, and resulting action as a verifiable evidence packet.

03

IP provenance

Preserve dated invention records, model outputs, design revisions, and signed technical evidence under local custody.

04

Financial and treasury controls

Create private receipts for approvals, transfers, margin calculations, and high-value state transitions.

Dual-Integration Evidence

ZC-RBE Kernel + Forecasting 4.0 Test

RBE modeStateful recursive forecast
Forecast horizon64 steps
State chunks4 × 16 steps
Execution deviceCPU
Continuity error0.0
Residual refinement0.0

The test executed the integrated TimesFM-compatible forecast path through recursive RBE state handling. These measurements establish the recorded execution behavior for this run; they do not establish forecast superiority.

Operational Utilities

Utilities Around the Tested Kernel

Stateful rolloutRecursive horizon chunks
Continuity monitorBoundary and recovery error
Anomaly indicatorState and increment telemetry
RBE statistics bridgeMean, deviation, increment scale
Domain adaptersEnergy, retail, weather, forex, SpO₂
Evidence outputsMetrics, provenance, receipts
Proven accelerator pathCUDA sparse telemetry · 2 seeded holdouts
Candidate adapterscuSOLVER/cuSPARSE, MATLAB/MEX, Julia

The CUDA sparse telemetry path is proven locally: 2,048 steps, 64-scenario batches, two seeded holdouts, finite output, and exact replay. Direct cuSOLVER/cuSPARSE, MATLAB/MEX, and Julia adapters remain candidates until their own code paths and matched tests pass.

Alternatives & Integration Targets

Where FP64 Overflow Solutions Fit Among Numerical Computing Tools

These are comparison and integration targets, not a claim that the products solve the same problem or that ZC-RBE is superior to them.

MPFR / Arb

Established arbitrary-precision numerical libraries are a direct comparison class for precision semantics and correctly rounded results.

Official MPFR reference

Current ZC-RBE evidence does not establish replacement, matching semantics, or speed superiority.

NVIDIA cuQuantum

cuQuantum is an adjacent quantum-circuit simulation ecosystem with CPU/GPU simulation components and framework integrations.

Official cuQuantum documentation

It is not evidence that ZC-RBE uses physical qubits, enumerates 2^4096 states, or delivers quantum speedup.

cuSOLVER / cuSPARSE

These are GPU solver and sparse-linear-algebra integration targets for a buyer-selected matched workload.

Official cuSOLVER documentation

The direct adapter and matched benchmark remain candidate work, not a completed superiority result.

MATLAB C++ / MEX

MATLAB’s external-language interfaces are a possible route for connecting a controlled RBE evaluation to an engineering workflow.

Official MATLAB C++ integration

No MATLAB/MEX adapter is presented as executed evidence on this page.

NVIDIA cuBLAS FP64

GPU BLAS is a direct performance and integration comparison for FP64 linear-algebra workloads, including documented FP64 emulation modes.

Official cuBLAS documentation

No matched cuBLAS-versus-RBE benchmark is presented as completed.

AMD rocBLAS

ROCm’s BLAS library is an adjacent GPU numerical-computing alternative for AMD hardware and double-precision matrix operations.

Official rocBLAS documentation

No matched AMD-versus-RBE benchmark is presented as completed.

Intel oneMKL

oneMKL provides optimized CPU/GPU math routines, including linear algebra and sparse solvers, making it an HPC integration comparison.

Official oneMKL documentation

No matched oneMKL-versus-RBE benchmark is presented as completed.

Primary Proof Pillars

Three Completed Technical Capabilities

Extreme-Scale Reversible Computation

SOURCE WIDTH
4096 BITS

SOURCE DECIMAL DIGITS1,234
REVERSIBLE ENCODINGPASS
ORDER PRESERVATIONPASS
BOUNDED ADDITIONPASS
BOUNDED MULTIPLICATIONPASS
10,000-STEP PROPAGATIONPASS
ZC RELATIVE RECOVERY ERROR1.210571775742e-2126
ZC COORDINATE ERROR2.944726528863e-3358

At 4096-bit source scale, ZC-RBE was not limited to representation alone. Reversible encoding, order preservation, bounded-domain addition, bounded-domain multiplication, and 10,000-step state propagation all completed successfully with high-precision agreement against independently computed source-domain results.

Long-Horizon Bounded Propagation

SEQUENTIAL STATE UPDATES
100,000

BOUNDED ALL STEPSYES
RECOVERY RELATIVE ERROR3.387888162765e-285
RESULTPASS

ZC-RBE completed 100,000 consecutive bounded-domain state updates while remaining within the bounded coordinate domain and preserving recoverability in the tested high-precision recurrence.

FP64 Post-Overflow Continuity

CONVENTIONAL FP64
OVERFLOW @ STEP 10

ZC-RBE FP64FINITE THROUGH TEST COMPLETION
POST-OVERFLOW STEPS TRACKED30
WORST ENCODED ABS ERROR8.8817841970012523e-16
REFERENCE TRACKINGPASS
FINAL ENGINEERING GATEPASS

In a controlled C++ recurrence benchmark, conventional FP64 overflowed at step 10 while the ZC-RBE FP64 representation remained finite and continued tracking the available high-precision encoded reference to approximately machine precision.

Validation Stack

Evidence Depth Behind The Three Proof Pillars

1. Symbolic source-width testing through 4096 bits

PASS

2. Reversible bounded encoding through 4096-bit source magnitude

PASS

3. Order preservation

PASS

4. Direct bounded-domain addition

PASS

5. Direct bounded-domain multiplication

PASS

6. 10,000-step bounded propagation

PASS

ZC relative recovery error: 1.210571775742e-2126

ZC coordinate error: 2.944726528863e-3358

7. 100,000-step bounded propagation

PASS

Recovery relative error: 3.387888162765e-285

Bounded all steps: YES

8. FP64 post-overflow survival

PASS

9. Conventional arbitrary-precision speed comparison

DIRECT ARITHMETIC FASTER

How It Was Validated

Reproducible test path

  1. Original kernel: compiled the retained zc_rbe_kernel.cpp and zc_rbe_kernel.hpp without altering the algorithm.
  2. Extreme-width scaling: executed the recorded width sweep through FP8192 and FP16384 source-width cases with bounded propagation and recovery checks.
  3. Real market workload: fetched official Hyperliquid BTC, ETH, and SOL 1-hour candles; applied 5,000 encoded multiplicative close-price updates per series.
  4. Independent reference: compared decoded output against a 7,000-digit source-space recurrence and recorded FP64 as a control.
  5. Integrity gate: required finite, in-domain state at every update and retained raw data hashes, kernel hashes, request parameters, and machine results.
HYPERLIQUID UPDATES15,000FINITE / IN-DOMAIN15,000 / 15,000RECOVERY ERROR≈ 10⁻⁶⁹⁹⁹

4096-Bit-Scale Computational Validation

Extreme Source Magnitude With Reversible Bounded Arithmetic

The 4096-bit result establishes more than bounded representation.

At 4096-bit source scale, ZC-RBE demonstrated:

  • reversible bounded encoding
  • order preservation
  • direct bounded-domain addition
  • direct bounded-domain multiplication
  • 10,000-step bounded state propagation
  • recovery against independently computed source-domain arithmetic

The exact 4096-bit endpoint contained 1,234 decimal digits.

Recorded 4096-Bit Anchor

Reversible encoding, order preservation, direct bounded addition, direct bounded multiplication, 10,000-step propagation, and independent source-domain recovery all completed in the retained anchor run.

Scale Continues Forward

The scaling record extends the tested width sequence from the historical 4096-bit anchor through FP8192 and FP16384 source-width cases.

What ZC-RBE Is

Reversible Bounded Computational Coordinate Architecture

ZC-RBE is a reversible bounded computational coordinate architecture for representing and propagating numerical state inside a finite coordinate domain.

Controlled validation has demonstrated reversible representation through 4096-bit source magnitude, bounded-domain arithmetic, long-horizon state propagation, and FP64 post-overflow continuity in the tested workloads.

The architecture is now being evaluated for commercial applicability in workloads where overflow, uncontrolled magnitude growth, or long-horizon numerical propagation creates reliability constraints.

Extend The Numerical Failure Boundary

Commercial Value

ZC-RBE is designed to move selected computations beyond the point where ordinary floating-point magnitude becomes non-finite.

In controlled FP64 testing, the conventional path overflowed at step 10 while the ZC-RBE path remained finite through completion and continued tracking the encoded reference.

The commercial value is not generic throughput improvement. The demonstrated value is numerical continuity in a regime where the conventional FP64 representation has already failed.

Target Evaluation Domains

  • numerical solver resilience
  • overflow-sensitive simulation
  • long-horizon state propagation
  • extreme dynamic-range computation
  • scientific computing
  • HPC numerical middleware
  • recurrent numerical systems
  • embedded numerical runtimes
  • simulation solver infrastructure

Commercial Engagement

Paid Technical Evaluation Paths

The proof stack is complete enough for buyer-selected technical evaluation. The next question is not whether the architecture can remain bounded in the demonstrated tests; it is whether that capability creates value inside the buyer's own numerical workload.

TIER 1

BINARY EVALUATION

$25,000

  • closed compiled evaluation build
  • benchmark harness
  • internal evaluation rights
  • validation documentation
  • SHA-256 provenance manifest

Excludes

  • source code
  • production rights
  • reverse engineering
  • derivative implementation
  • sublicensing
  • exclusivity
START $25K BINARY EVALUATION

TIER 2

ENGINEERING EVALUATION

$75,000

  • everything in Binary Evaluation
  • engineering integration support
  • buyer-selected evaluation workload
  • controlled technical diligence
  • benchmark adaptation
  • results review

Excludes

  • source ownership
  • production deployment rights
  • reverse engineering
  • derivative implementation
  • unrestricted redistribution
  • exclusivity unless separately negotiated
START $75K ENGINEERING EVALUATION

TIER 3 · DUAL INTEGRATION

PROTOTYPE-READINESS EVALUATION

$250,000

Combined evaluation of the ZC-RBE kernel and the ZC-RBE Forecasting 4.0 integration layer against a buyer-selected workload.

  • everything in Engineering Evaluation
  • independent validation planning
  • dual-stack workload adaptation
  • integration engineering and security controls
  • prototype-readiness evidence package

Proposed commercial evaluation term

START $250K DUAL-INTEGRATION EVALUATION

Production, OEM, field-of-use, enterprise, exclusivity, and acquisition rights are separately negotiated.

Built For Numerical Infrastructure Buyers

Target Evaluation Categories

Generic public positioning is shown below. Company-specific routing only appears when a company parameter is present.

Numerical Libraries

Recommended test: numerical-library or extreme dynamic-range workload

Commercial ask: $75K Engineering Evaluation or $250K Dual-Integration Evaluation

Simulation & Solver Infrastructure

Recommended test: solver robustness or simulation-runtime workload

Commercial ask: $75K Engineering Evaluation

Scientific Computing

Recommended test: solver, recurrence, or numerical-runtime workload

Commercial ask: $75K Engineering Evaluation

HPC Numerical Middleware

Recommended test: extreme dynamic-range or bounded-state propagation workload

Commercial ask: $75K Engineering Evaluation

Hardware / Runtime Engineering

Recommended test: bounded-state runtime or hardware-adjacent numerical path

Commercial ask: $75K Engineering Evaluation

Request Evaluation

Commercial Technical Intake

Protected diligence access is sent through a recipient-specific email link after submission.