Follow a result back to its evidence.

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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Calderon sheet

v110_calderon_sheet.py · registry

Read the original description and evidence links

CALDERÓN-SHEET SELECTION THEOREM (the v109 follow-up): the certified bilinear data of a Calderón involution ε (ε²=1) on H = S⁺⊕S⁻ are ⟨f, εg⟩; with the v109 singlet counts per sheet block (0,0,1,1) the exact statement is 'a scalar two-point datum exists ⟺ ε is sheet-odd' — sheet-odd certifies exactly 1+1 = 2 = |ℤ₂| invariant kernels (one per orientation), sheet-even certifies NONE; THE TWO KERNELS = THE GLUE AMBIGUITY: 2 = |ℤ₂| = the two Lagrangian glues (v92) — the Calderón scalar channel carries exactly the glue ambiguity, resolved by the same sheet choice; LADDER GENERICITY (anti-overclaim): for g = 3,5,7 sheet-oddness forces the half-spinor relation K = (g−1)/2, NOT g=5 — the g-selection stays with rank-8/integrality (v14/v108); QBL residue split into two named parts [P]: (a) interface 'the seam Calderón involution is sheet-odd' (natural: the one-sided collar / double-cover deck is the SAME ℤ₂ that halves c₃ = 1/(2·4π)), (b) analytic core 'the 2-point kernel certifies only slot-degrees ≤ 2'

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Linked claims: CAR.PAIR.02
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

Different evidence answers different questions.

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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