CollatzX
Track sequence convergence with parity analysis, trajectory forecasting, and statistical verification across billions of iterations.
Analyze sequences →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.
Note: Many components are experimental and evolving.
Continuous refinement of our verification engines through algorithmic optimization, benchmarking, and research collaboration — enabling reproducible insight at operator-grade scale.
Track sequence convergence with parity analysis, trajectory forecasting, and statistical verification across billions of iterations.
Analyze sequences →Verify zero distributions, analyze prime counting accuracy, and test hypotheses against computational evidence.
Explore zeros →Decompose even numbers into primes, verify conjectured bounds, and search for decomposition patterns.
Test decompositions →ProofX portfolios are seeded, versioned, and replayable with byte-for-byte manifests. Every computation is fully reproducible across environments with guaranteed identical results.
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.
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.
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.
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.
No. ProofX is structured as an open-source non-profit research organization, focused on research partnerships and operator deployments rather than traditional SaaS revenue.
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.
Through entropy-aware scheduling and replay manifests, ProofX optimizes verification workflows to deliver statistical evidence faster.
Manifested seeds, routes, and configs guarantee byte-identical runs across environments. We provide statistical confidence intervals and formal verification certificates.
All verification engines undergo peer review through academic collaborations. We publish verification methodologies and datasets to enable independent validation.
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
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.