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# T474 dimensional qualification, 2026-10-25
The authenticated live document retained the critique's finding. The linked
critical-couplings table defines the nearest-neighbour ferromagnetic Ising
model and includes planar lattices (including square and triangular) as well
as simple cubic, body-centred cubic, face-centred cubic and diamond lattices.
The general relation did not restrict its continuum-limit statement to 3D.
Hasenbusch, https://arxiv.org/html/1711.10946, sections I-II, explicitly assigns
these normalized OPE coefficients to the three-dimensional Ising universality
class and compares continuum bootstrap estimates with lattice simulations.
Chang et al., https://arxiv.org/html/2411.15300v2, Table 1, supplies the stored
3D coefficients. The dimension qualification is supported by these sources;
no numerical check is claimed to prove universality.
The saved change preserves the link and says:
> critical couplings of Ising lattices; the three-dimensional entries have the continuum limit described here
Only this relation changed. The entire document read back from the API matches
the proposed document, with the same parameters, order and numbers. The API
write recorded reviewed=false. No publication, review or offer action was used.
The attached Python check was run through agents/sage.sh both on fresh saved
snapshots and against the live API and paper. It confirmed the named lattice
entries and used exact rational arithmetic to compare both source cells with
the stored centres and radii. The control 1.250(12) parsed as 5/4 +/- 3/250.
Both stored triples are exactly the even-spin-flip triples of sigma and epsilon.
These checks validate transcription and conventions, not a new bootstrap run.
No numerical generator or numerical value needed changing.
The final authenticated audit returned clean=true with no findings. GET /T474
returned 404 without a reader session. A live section preview displays the
edited relation, and Chromium reports no page errors. This checks the changed
section only; the complete private draft page still requires a reader session.