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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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P2 weights deligne bg

v499_p2_weights_deligne_bg.py · core

Read the original description and evidence links

P2.TYPING.01: the P2 weight-typing postulate HARDENED (the v491 check-9 residual) -- the anchor a = (1,1,2) typed as the Birkhoff-Grothendieck splitting exponents of the DELIGNE CANONICAL EXTENSION E of the flavor connection. Given the [E] anchors (4 marks v216, rank 3 v137, cusp class + irreducibility v117, (U)): deg E = -4 AS THEOREM (residue spectrum {0,1/3,2/3} unique in [0,1), trace 1 per mark x 4 marks; par-deg 0; infinity apparent, monodromy product = 1 exactly); POSITIVITY AS THEOREM (irreducibility exact: |<U,M0>| = 24 = |S4|, sum |chi|^2 = 24; + (U) => Mehta-Seshadri stability => h^0(E) = 0, all 324 saturation cases; BG dictionary h^0 = 0 <=> a_i >= 1); INTEGRALITY = Birkhoff-Grothendieck, automatic once E is a bundle. UNIQUENESS + SELECTOR: {1,1,2} unique (v491); Schur-Horn permutohedron integer points exactly {(2,2,0),(2,1,1)} and h^0 = 0 kills {0,2,2} -- the tfpt_2 'balanced' heuristic now TYPED as stability. h^1 DISCREPANCY REAL + RESOLVED: h^1(E) = 1 != 3 -- 'generations = H^1(E)' is FALSE (forcing it: deg -6, uniqueness lost, e2 in {9,11,12} never 5); two-object typing: L = O(-D) carries the generations (h^1(L) = 3 = N_fam = v137 basis), E carries them as its FIBER. BISWAS EXPLICIT (independent witness): Z3 cusp cover y^3 = (z-1)(z-i)(z+1)^2(z+i)^2, genus 2 (NOT the pillowcase double, genus 1 j = 1728 = deck side); p_* O_Y = O + O(-2)^2; the regular-rep model lands on {0,2,2} = the UNSTABLE Schur-Horn companion (h^0 = 1): integrality + sum rule COME OUT of the correspondence, stability is the selector. Negative controls: no positivity -> 4/31 solutions; deg -3/-5 breaks; n-mark scan e2 = (n-2)(n+1)/2 = 5 ONLY at n = 4; MS-rational e2 = 16/3, 44/9. [C]/[N] residuals: R1 module identification (QGEO.SYM stays [O]); R2 unitarity (U) (v33/v40); R3 analytic monodromy [N] (v117 check 4). P2 stays an axiom (AX.P2.01 declared, no marker moves); non-circular (no v23/v115 splitting input). Exact (sympy); Wolfram-mirrored.

Read the original Python source
Linked claims
P2.TYPING.01

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Python calculations
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Formal mathematics
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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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