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Choose a result, inspect its assumptions, then run the calculation that supports it. Each check answers a specific question. The original status and the scope of that answer stay attached.

Start with the E₈ construction.

The first module builds the lattice explicitly. It checks the glue, constructs its 240 roots and tests the lattice basis. You can read the source before running it.

Question: Does the explicit construction give the even, unimodular E₈ lattice?
What is tested: Shared ℤ₄ discriminant data; glue norms 5/4 + 3/4 = 2; 240 roots of squared length 2; an integral, even basis with determinant 1.

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This is a mathematical lattice check. Identifying that lattice with a physical system requires additional arguments and retains its own status.

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Search all 707 registered Python modules by subject, filename, claim or source section. This catalogue records source presence and links. It does not report a new execution or a passing result for every module.

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Anchor residue

v115_anchor_residue.py · registry

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THE ANCHOR PINS THE RESIDUE (exact normal form for the U_wall flat-bundle residue; answers the v114 branch question): μ₄-AVERAGE LEMMA [I] — Σₖ Uᵏ X U⁻ᵏ = 4 diag(X): μ₄ conjugation-averaging IS the diagonal projection ⇒ exponents at infinity = 4 diag(A₀) ⇒ anchor splitting 𝒪(−2)⊕𝒪(−1)² ⟺ diag A₀ = (2,1,1)/4 = ANCHOR/|μ₄| (v33's diagonal was forced, not chosen); THE (8,0,5)/144 LEMMA [I]: anchor diagonal + cusp spectrum pin Σ|off|² = 13/144, and a₁₃ = 0 + det = 0 solve UNIQUELY to (|a₁₂|², |a₂₃|²) = (8,5)/144 — numerators (rank E8, g_car), denominator (|μ₄|N_fam)², total 13 = Δ_Q (the quark denominator 117 = 9·13); EXACT NORMAL FORM [I]: A₀* = [[1/2, √2/6, 0],[√2/6, 1/4, √5/12],[0, √5/12, 1/4]] with char poly λ(λ−⅓)(λ−⅔) exactly; A₀* IS THE RIEMANN–HILBERT SOLUTION [N]: big-circle monodromy trivial to 1e−10, unitarised |diag M̃₀| = (0,½,½) — the v33/v40 numerical point is gauge-equivalent to this exact matrix; ANCHOR FORCES d₁ = 0 [N]: every flat solution in a multi-seed RH scan lands on the same gauge orbit ⇒ the harmonic diagonal is anchor+torsion forced, δ = ½ needs no selection; residue [P]: Gröbner promotion of a₁₃ = 0 + uniqueness

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Linked claims: GATE.UWALL.07
Paper sections: Source section 1 Source section 2 Source section 3 Source section 4 Source section 5 Source section 6 Source section 7 Source section 8 Source section 9 Source section 10 Source section 11 Source section 12 Source section 13 Source section 14 Source section 15 Source section 16 Source section 17

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A numerical calculation, a formal theorem and an experimental comparison carry different kinds of information. Follow the source appropriate to the claim.

Python calculations: Inspect the algorithm, its inputs and its negative controls. Run a browser compatible module here, or use the repository for the complete environment.Browse Python sources
Formal mathematics: Read the actual Lean statement and its assumptions. The carrier formalization has a defined mathematical scope.Inspect the Lean formalization
Independent implementation: The Wolfram implementation checks algebraic results through a separate computational path. The recorded runs report 116/116 base checks and 603/603 extension checks. This is distinct from external experimental replication.Read the Wolfram implementation
Physical comparison: Read each prediction with its freeze, conditions and failure criterion. A passing mathematical check does not decide the experimental comparison.Open the prediction register

Run the same check on your machine.

From a checkout of the repository, install its Python requirements and run the first lattice module. The complete suite is a separate step.

Set up the repository

git clone https://github.com/sthamann/tfpt.git
cd tfpt
python3 -m venv .venv
.venv/bin/pip install -r requirements.txt

Check the E₈ lattice

.venv/bin/python verification/v1_e8_glue.py

Read the individual checks and the final pass or fail result.

Run the registered suite

cd verification
../.venv/bin/python run_all.py

The full suite uses the dependencies and source context documented in the repository.

Repository setup and maintenance instructions

Read the current claim beside its source.

The research snapshot dated 2026-11-02 includes the active ledger, reviewed findings and registered scripts. It records source coverage and stated scope; it is not a new execution of every proof or calculation.

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