How these numbers were read
Where each number below was read, and how it was checked.
-0.4921(2), VMC (PP)
Checked 2026-09-15 · source text of arXiv:2311.11561 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; verified 2026-09-16 by an independent second reading (arXiv versions, VarBench history)
Reported as. −0.4921(2)
Supplemental Material Table SIII of arXiv:2311.11561 (v1, the only version; pdftotext layout of the committed PDF) | E/Ns in S.S units with periodic boundaries (caption and Eq. 1); sigma^2 is the relative variance (<E^2>-<E>^2)/<E>^2 of Eq. S26, stored as energy_variance = sigma^2 x E^2 in the instance's units
-0.48800(1), VMC (PP)
Checked 2026-09-29 · arXiv:2311.11561v1 (only version; 34-page PDF with the Supplemental Material appended), pypdf plain + layout (sources/2311.11561v1.va5.*; the layout pass loses the SM tables to rotated text, the plain pass keeps them) and per-page search
Reported as. -0.48800(1) per site (E/Ns, S.S units); sigma^2 = 0.0000464(7) (relative variance, Eq. S26)
Record row. Cubic L = 4 cluster (16 sites per cubic cell), PBC, J = 1, spin-parity-even singlet sector, C3 point-group projection (Table SIII caption: 'Optimizations were initiated from random initial wave functions with imposed C3 point-group symmetry projections'), one Lanczos step on the variational state: variational. Energy, bar and variance all agree with the printed cell to its precision, so the finer stored digits are the same evaluation as the print (first author R. Pohle's VarBench upload of 2022-02-26, never changed); kept under the 2026-09-16 ruling on the author's finer digits. Runner-up mVMC (Table SIII row 'mVMC') -1988.07552, 0.54 % higher; the E0 row -2015.6416 is extrapolated. Not a duplicate: no other row on the instance carries -0.48800. The linked VarBench input reproduces only the C3-projected optimisation (NQPTrans 3, NLanczosMode 0), not the Lanczos-step evaluation. Venue: arXiv preprint only (first author's list, 2026-09-29), older than 12 months (M10 stale-preprint).
-0.48537(1), VMC (PP)
Checked 2026-09-15 · source text of arXiv:2311.11561 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; verified 2026-09-16 by an independent second reading (arXiv versions, VarBench history)
Reported as. −0.48537(1), sigma^2 = 0.00007664(27)
Supplemental Material Table SIII of arXiv:2311.11561 (v1, the only version; pdftotext layout of the committed PDF) | E/Ns in S.S units with periodic boundaries (caption and Eq. 1); sigma^2 is the relative variance (<E^2>-<E>^2)/<E>^2 of Eq. S26, stored as energy_variance = sigma^2 x E^2 in the instance's units