How these numbers were read
Where each number below was read, and how it was checked.
-0.7616(1), CP-AFQMC
Checked 2026-09-15 · source text of arXiv:2308.08594 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; single reading
Reported as. −0.7616(1)
Table I | 8x8=64 sites P; n=0.875 => Nf=28 per spin; U=8; catalogue best_per_site for this instance is -0.74928125, so this quoted value is notably lower (stronger) than the current catalogue best
-0.7532, VMC (transformer BF)
Checked 2026-10-22 · source text of arXiv:2507.02644 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; single reading
Reported as. −0.7532
Supplementary Table 5, row 8 × 8, t' = 0; dl/gu-si.txt line 187; no error bar | Energy per site in units of t. PBC per the Supplementary Table 5 caption ('Raw data for the energies of Hubbard model under PBC'); U = 8 and hole doping 1/8 per the main text (Fig. 4 caption: 'U = 8 and hole doping δ = 1/8 under PBC'; the t' = -0.2 study: 'Lx × 8 with Lx ranging from 8 to 32, with t' = -0.2 and δ = 1/8'). H has -t' sum_<<ij>>, so t2 = t'. The 16 x 4 and 16 x 16 values at t' = 0 equal the arXiv text's -0.76298 and -0.75630 to the printed digits. No error bar printed. Version read: journal Supplementary Information (41467_2026_74028_MOESM1_ESM.pdf); the arXiv text has no raw-data table.
-0.7469(2), VAFQMC
Checked 2026-09-15 · source text of arXiv:2308.08594 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; single reading
Reported as. −0.7469(2)
Table I | same instance as above | variance reported as 3.5, not stored: convention not verified
-0.7458(6), VMC (JBf-ViT)
Checked 2026-09-14 · arXiv HTML parsed locally, no LLM transcription
Reported as. E_0/M = -0.7458 (+/- 0.0006), sigma^2/M = 0.0525
Read from Table 1 of arXiv:2510.11710 (U/t = 8, n_h = 1/8, energies per site, 131072 samples), parsed from the arXiv HTML. Row "JBf (8x8 Torus)".
-0.7454(9), VMC (HFDS-ViT)
Checked 2026-09-14 · arXiv HTML parsed locally, no LLM transcription
Reported as. E_0/M = -0.7454 (+/- 0.0009), sigma^2/M = 0.0563
Read from Table 1 of arXiv:2510.11710 (U/t = 8, n_h = 1/8, energies per site, 131072 samples), parsed from the arXiv HTML. Row "HFDS (8x8 Torus)".
-0.7422(3), VMC (JBf-ViT)
Checked 2026-09-14 · arXiv HTML parsed locally, no LLM transcription
Reported as. E_0/M = -0.7422 (+/- 0.0003), sigma^2/M = 0.0698
Read from Table 1 of arXiv:2510.11710 (U/t = 8, n_h = 1/8, energies per site, 131072 samples), parsed from the arXiv HTML. Right-hand table, row "JBf-ViT"; same lattice and parameters per the caption.
-0.736(1), VMC (HFDS-ViT)
Checked 2026-09-14 · arXiv HTML parsed locally, no LLM transcription
Reported as. E_0/M = -0.736 (+/- 0.001), sigma^2/M = 0.105
Read from Table 1 of arXiv:2510.11710 (U/t = 8, n_h = 1/8, energies per site, 131072 samples), parsed from the arXiv HTML. Right-hand table, row "HFDS-ViT".
-0.729(4), VMC (HFDS-ViT)
Checked 2026-09-14 · arXiv HTML parsed locally, no LLM transcription
Reported as. E_0/M = -0.729 (+/- 0.004), sigma^2/M = 0.139
Read from Table 1 of arXiv:2510.11710 (U/t = 8, n_h = 1/8, energies per site, 131072 samples), parsed from the arXiv HTML. Right-hand table, row "HFDS Symm-ViT-Ti".
-0.726(9), VMC (JBf-ViT)
Checked 2026-09-14 · arXiv HTML parsed locally, no LLM transcription
Reported as. E_0/M = -0.726 (+/- 0.009), sigma^2/M = 0.168
Read from Table 1 of arXiv:2510.11710 (U/t = 8, n_h = 1/8, energies per site, 131072 samples), parsed from the arXiv HTML. Right-hand table, row "JBf Symm-ViT-Ti".