Axioms of Pattern Ontology Initiative

Public portal, not canon

A guided front door for selected APO research.

APO-site turns approved APO materials into readable web pages: track overviews, curated paper packets, PDF landing pages, proof-supporting code notes, LaTeX-rendered math, wikilinks, and backlinks. The canonical proofs remain upstream in the protected research workspace.

Browse the grouped library Current status

What belongs here?

Boundary

Public summaries

Short pages that explain what a paper, script, packet, or track is for before sending readers into the artifact.

Curated packets

Small bundles for APO Core, Navier-Stokes, RH, and proof-supporting code, instead of a raw dump of the research repo.

Protected canon

Authoritative proofs and master documents stay in APO-research. This site links, frames, and presents them; it does not replace them.

Research tracks

Start here
  • APO Core

    The central derivation program and selected proof artifacts.

  • Navier-Stokes

    The seven-paper undecidability sequence, organized as a navigable stack.

  • Riemann Hypothesis

    RH papers, Lean verification notes, and supporting numerical/operator scripts.

Reader path

Less maze
  1. Orient: start from the grouped library or current dashboard.
  2. Choose a track: APO Core, Navier-Stokes, or RH.
  3. Open a packet: use bundled papers/code when you want the curated set.
  4. Verify context: treat APO-research, not this site, as the canon.

Current status

Snapshot

The site presents selected public-facing snapshots from active research tracks. Status pages are summaries, not final proof authority.

Read the project dashboard →

Key entry points

Curated
  • Browse curated library

    Organizes the currently selected packets from APO core, the Navier-Stokes undecidability track, the Riemann Hypothesis track, and proof-supporting code.

  • Check current status

    A compact status page for active tracks, proof packets, verification work, and next review targets.

  • APO Core track

    Links the canonical master index, selected PDFs, and proof-support scripts without duplicating the canon wholesale.

  • Navier-Stokes track

    Presents the entire NS selection as a coherent sequence while keeping the public page readable and navigable.

  • Riemann Hypothesis track

    Exposes the strongest current RH-facing public materials without turning the site into a full duplicate of the source track.