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README.md

Project Navi

Open-source AI security. Zero trust architecture and mathematical governance.

We build security infrastructure for teams deploying AI systems - tools that make governance native to the development process, not an afterthought.

We don't compete with AI companies. We make their deployments safer. Our tools sit at the boundaries - between your model and untrusted input, between your code and production, between your repo and your first commit. We're infrastructure, not product.


What We Ship

takens-formalization

Takens' theorem for generic pairs, machine-checked. On a compact smooth d-manifold, the pairs (T, h) of a C² diffeomorphism and a C² observation whose delay map with 2d+1 coordinates is a C² embedding are open and dense in Diff²(M) × C²(M, ℝ). Also finite-regularity Sard (via a port of Moreira's theorem), exact finite-state horizons and ordinal codes. Lean 4 + Mathlib v4.34.1; no sorry, standard axioms only.

fd-formalization

Box-counting dimension of the (u,v)-flowers, machine-checked. For 1 < u ≤ v, the Rozenfeld–Havlin–ben-Avraham flowers have dimension log(u+v)/log u: as the limit of their recurrences, as a log-ratio of the explicit graphs, and as a box-counting dimension over minimum box covers at every resolving scale. Lean 4 + Mathlib v4.34.1; no sorry, standard axioms only.

cd-formalization

Existence theory for the Creative Determinant boundary value problem −ΔΦ = a|∇Φ| + bΦ − c(Φ₊)ᵖ. On finite weighted graphs, a positive solution is fully proved; the continuum results are conditional on explicit, documented elliptic hypotheses. Lean 4 + Mathlib v4.34.1; standard axioms only. Theory in the paper.

navi-sanitize

Deterministic input sanitization for untrusted text in LLM pipelines. Strips homoglyphs, invisible Unicode, null bytes, template injection, and path traversal vectors. Zero dependencies. Python 3.12+. Live on PyPI.


Trust & Security

  • No trackers, no analytics
  • Security contact: [email protected]
  • Vulnerability disclosure: projectnavi.ai/trust
  • PGP key: /.well-known/pgp-key.txt (fingerprint: 402E C296 1A72 CBFF 63B8 FEE9 A42A 76A1 C696 FF08)
  • Machine-readable: /.well-known/security.txt

Contributing

PRs welcome. See CONTRIBUTING.md for guidelines.

Questions? [email protected] for legal questions, [email protected] for security.


License

Open source under MIT or Apache-2.0; each repository's LICENSE file says which. Terms & Privacy: projectnavi.ai/legal


Support Our Work

This project is community-funded. No venture capital, no corporate sponsors shaping the roadmap.

Sponsor Project Navi on GitHub


Machine cognition, human values.

The knowledge is free, the community is open. If you wish to support our mission, buy a t-shirt. 🐘

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  1. navi-creative-determinant navi-creative-determinant Public

    A field theory of coherence: autopoietic closure as a nonlinear elliptic BVP on a compact Riemannian manifold, with existence conditions, spectral viability thresholds and falsifiability criteria. …

    Jupyter Notebook 7

  2. fd-formalization fd-formalization Public

    Lean 4 + Mathlib proof that the (u,v)-flowers have dimension log(u+v)/log u: as a recurrence limit, as a log-ratio of the explicit graphs, and as a box-counting dimension at every resolving scale. …

    Lean 3

Repositories

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Showing 7 of 7 repositories
  • navi-sanitize Public

    Deterministic input sanitization for untrusted text — invisible characters, homoglyphs, and encoding tricks, handled before your code sees them. Zero dependencies, no ML. Python 3.12+.

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    Project-Navi/navi-sanitize's past year of commit activity
    Python 3 MIT 0 8 2 Updated Nov 9, 2026
  • navi-creative-determinant Public

    A field theory of coherence: autopoietic closure as a nonlinear elliptic BVP on a compact Riemannian manifold, with existence conditions, spectral viability thresholds and falsifiability criteria. Lean 4 formalization: cd-formalization.

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    Project-Navi/navi-creative-determinant's past year of commit activity
    Jupyter Notebook 7 Apache-2.0 0 0 12 Updated Oct 30, 2026
  • cd-formalization Public

    Lean 4 + Mathlib existence theory for the Creative Determinant boundary value problem: positive solutions fully proved on finite weighted graphs; continuum results conditional on explicit, documented elliptic hypotheses.

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    Project-Navi/cd-formalization's past year of commit activity
    Lean 2 Apache-2.0 0 0 1 Updated Oct 9, 2026
  • takens-formalization Public

    Lean 4 + Mathlib proof of Takens' theorem for generic pairs: C² delay embeddings with 2d+1 coordinates are open and dense in Diff²(M) × C²(M, ℝ). Also finite-regularity Sard. No sorry.

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    Project-Navi/takens-formalization's past year of commit activity
    Lean 3 Apache-2.0 1 0 1 Updated Oct 1, 2026
  • .github Public

    Project Navi organization profile and default community health files.

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    Project-Navi/.github's past year of commit activity
    0 Apache-2.0 0 0 5 Updated Sep 30, 2026
  • fd-formalization Public

    Lean 4 + Mathlib proof that the (u,v)-flowers have dimension log(u+v)/log u: as a recurrence limit, as a log-ratio of the explicit graphs, and as a box-counting dimension at every resolving scale. No sorry.

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    Project-Navi/fd-formalization's past year of commit activity
    Lean 3 Apache-2.0 0 0 0 Updated Sep 30, 2026
  • Project-Navi.github.io Public

    Project Navi docs landing page: docs.projectnavi.ai

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    Project-Navi/Project-Navi.github.io's past year of commit activity
    HTML 0 Apache-2.0 0 0 0 Updated Sep 30, 2026

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