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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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Anchor flavor checksum

v832_anchor_flavor_checksum.py · core

Read the original description and evidence links

ANCHOR.AFFINE.01 + FLAVOR.BIDIR.01: die affine Anker-Normalform und die bidirektionale Flavor-Prüfsumme — zwei exakte Korpus-Kompressionen — **ANCHOR-AFFINE-EXACT + FLAVOR-BIDIR-CHECKSUM (selektiv) (18/18 + 15/15): der Anker a = (1,1,2) hat Potenzsummen p_n = 2 + 2^n mit der affinen Rekursion p_{n+1} = 2p_n − 2 identisch in n (sympy); T(x) = 2x − 2 hat den EINDEUTIGEN Fixpunkt 2 = |Z₂| (das Blatt), und der T-Orbit von 4 ist exakt das Compiler-Quintett (4, 6, 10, 18, 34) = (|μ₄|, |R⁺(A₃)|, A_L, N_fam·|R⁺(A₃)|, Z₆-Lift), mit p₀ = 3 = N_fam vorangestellt; das GESAMTE Budget aus EINER Rekursion: |R(E8)| = p₁p₂p₃ = 240, dim E8 = 240 + q₃ = 248 (Leiter-Identität p₄ − p₃ = p₃ − 2 = 8 = h(D5) = rank E8), h(E8) = p₂p₃/2 = 30, |R(D5)| = p₁p₃ = 40, Ω_adm = 2p₁p₂ = 48, (e₁,e₂,e₃) = (4,5,2), 10b₁ = 41. Teil B: R = [[1,3,0],[1,5,2],[2,5,3]] dekodiert DENSELBEN Anker beidseitig — Ra = (4, 10, 13) = (p₁, p₃, N(3+2i)), Rᵀa = (6, 18, 8) = (p₂, p₄, p₃−2); der Geschwister-Kill: von 12 Kandidaten besteht GENAU EINER — die akzeptierte (1,5,2) — den vollen Identitätssatz, und die Anker-Kontraktion (Ra)₂ = 10 = p₃ tötet beide Geschwister (11 und 12). Kontrollen feuern (falsche Karte, falscher Anker, Geschwister (1,4,3) reproduziert tfpt_2s Fehlerzahlen WÖRTLICH). Exakt sympy/Integer; keine Floats, kein RNG, kein Fit.**

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Linked claims: ANCHOR.AFFINE.01
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

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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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