Computational engines for discrete mathematics.

ProofX builds small, open-source Python engines to study sequence behavior, test ideas, and share reproducible results. Early work includes CollatzX and GoldbachX, focused on large-scale experimentation and pattern analysis.

Vision

ProofX is an early research effort exploring computational engines for discrete mathematics. Our long-term ambition is to enable faster, more reliable paths from conjecture to reproducible evidence. By combining structured experimentation, deterministic execution, and transparent replay, ProofX aims to establish a foundation for proof-centric computation at research-lab scale.

  • Impact: shorten the cycle from idea to evidence through reproducible experimentation.
  • Trust: configuration, inputs, and outputs are tracked for replay and comparison.
  • Reach: designed for researchers, students, and public-interest investigations.

Note: Many components are experimental and evolving.

Research & Engine Development

Continuous refinement of our verification engines through algorithmic optimization, benchmarking, and research collaboration — enabling reproducible insight at operator-grade scale.

  • Algorithm optimization & parallelization
  • New conjecture-engine development
  • Performance benchmarking improvements
  • Research partnerships & academic collaboration

Engines

CollatzX

Track sequence convergence with parity analysis, trajectory forecasting, and statistical verification across billions of iterations.

Analyze sequences →

RiemannX

Verify zero distributions, analyze prime counting accuracy, and test hypotheses against computational evidence.

Explore zeros →

GoldbachX

Decompose even numbers into primes, verify conjectured bounds, and search for decomposition patterns.

Test decompositions →

Frequently Asked Questions

How does ProofX ensure determinism and traceability?

ProofX portfolios are seeded, versioned, and replayable with byte-for-byte manifests. Every computation is fully reproducible across environments with guaranteed identical results.

What is ProofX's business model and revenue strategy?

Current Status: ProofX operates as an open-source non-profit research organization. Future Plans: We're exploring patent licensing for novel verification algorithms and enterprise support contracts for research institutions.

When will the source code be publicly available?

Immediate Access: Basic verification frameworks are available now. Advanced Engines: Core conjecture engines are undergoing patent review and will be released under open-source licenses once intellectual property protection is secured.

What is ProofX's approach to patents and intellectual property?

We're pursuing patents only for novel verification algorithms, not mathematical concepts. All patented technologies will be available under fair-use research licenses, with commercial licensing for enterprise applications.

What is ProofX's competitive advantage and reliability moat?

ProofX builds compounding corpora of runs and counterexamples that improve priors and are hard to replicate. Our deterministic verification architecture creates reliability through extensive validation datasets and performance-optimized algorithms.

Is ProofX a SaaS company or traditional startup?

No. ProofX is structured as an open-source non-profit research organization, focused on research partnerships and operator deployments rather than traditional SaaS revenue.

What is ProofX's deployment and security posture?

We use containers, pinned builds, and strict retention modes to ensure security and reproducibility. Our deployment architecture supports private cloud, on-prem, and air-gapped environments.

How does ProofX minimize time-to-evidence in verification?

Through entropy-aware scheduling and replay manifests, ProofX optimizes verification workflows to deliver statistical evidence faster.

What guarantees does ProofX provide for verification results?

Manifested seeds, routes, and configs guarantee byte-identical runs across environments. We provide statistical confidence intervals and formal verification certificates.

How are ProofX's verification results validated by the research community?

All verification engines undergo peer review through academic collaborations. We publish verification methodologies and datasets to enable independent validation.

How is ProofX funded and what is the long-term sustainability plan?

Current Funding: Bootstrapped development with research grants. Sustainability Model: Long-term sustainability through patent licensing and enterprise support contracts while maintaining open-source commitment.

Founder

Mohammed Alkindi — Founder

Founder of ProofX, building computational systems that help mathematicians test unsolved problems with verifiable evidence. Developed specialized engines that analyze number patterns, verify conjectures, and provide reproducible results for mathematical research.

  • Created ProofX verification engines that systematically test famous mathematical conjectures
  • Built computational architecture spanning logic systems, pattern analysis, and verification methods
  • Focused on reproducible research, reliable evidence, and trustworthy computational results

Contact

Partners, investors, and research labs: ProofX operates with evidence, not theatre.