How these numbers were read
Where each number below was read, and how it was checked.
-0.7583, FN-GFMC (ACE)
Checked 2026-09-10 · source text/table parsed locally (arXiv HTML or pypdf), no LLM transcription
Reported as. -0.7583 per site
Read directly from the Table 1 HTML of arXiv:2604.25775, column t'=0 PBC (16x16, U=8, delta=1/8). ACE Table 1 energies are WITHOUT symmetry projection (Sec. III.C.2), so they are not the ansatz floor.
-0.7573, VMC (ACE)
Checked 2026-09-10 · source text/table parsed locally (arXiv HTML or pypdf), no LLM transcription
Reported as. -0.7573 per site
Read directly from the Table 1 HTML of arXiv:2604.25775, column t'=0 PBC (16x16, U=8, delta=1/8). ACE Table 1 energies are WITHOUT symmetry projection (Sec. III.C.2), so they are not the ansatz floor.
-0.7563, VMC (transformer BF)
Checked 2026-09-10 · source text/table parsed locally (arXiv HTML or pypdf), no LLM transcription
Reported as. -0.7563 per site
Read directly from the Table 1 HTML of arXiv:2604.25775, column t'=0 PBC (16x16, U=8, delta=1/8). ACE Table 1 energies are WITHOUT symmetry projection (Sec. III.C.2), so they are not the ansatz floor.
-0.756, FN-GFMC (SCALE)
Checked 2026-09-10 · source text/table parsed locally (arXiv HTML or pypdf), no LLM transcription
Reported as. -0.756 per site
Read directly from the Table 1 HTML of arXiv:2604.25775, column t'=0 PBC (16x16, U=8, delta=1/8). ACE Table 1 energies are WITHOUT symmetry projection (Sec. III.C.2), so they are not the ansatz floor.
-0.7552, VMC (tensor BF)
Checked 2026-09-10 · source text/table parsed locally (arXiv HTML or pypdf), no LLM transcription
Reported as. -0.7552 per site
Primary located 2026-09-15: Table I of arXiv:2507.01856, n = 0.875, U = 8, 16x16 PBC, column Ep = 1 (one Lanczos step). First found quoted in Table 1 of arXiv:2604.25775 as Tensor-Backflow+Lanczos [21].
-0.7543(2), VMC (residual HB)
Checked 2026-09-15 · source text of arXiv:2606.00924 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. −0.7543(2)
main text, 'On the 16x16 lattice at nh=1/8 and U=8, RHB with the FNN yields...' | same instance as above
-0.7529, VMC (SCALE)
Checked 2026-09-10 · source text/table parsed locally (arXiv HTML or pypdf), no LLM transcription
Reported as. -0.7529 per site
Read directly from the Table 1 HTML of arXiv:2604.25775, column t'=0 PBC (16x16, U=8, delta=1/8). ACE Table 1 energies are WITHOUT symmetry projection (Sec. III.C.2), so they are not the ansatz floor.
-0.7526, VMC (HB)
Checked 2026-09-15 · source text of arXiv:2606.00924 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. −0.7526
main text, same paragraph | same instance as above
-0.7515(1), VMC (HFPS)
Checked 2026-09-10 · source text/table parsed locally (arXiv HTML or pypdf), no LLM transcription
Reported as. -0.7515 (+/- 0.0001) per site
Read directly from the Table 1 HTML of arXiv:2604.25775, column t'=0 PBC (16x16, U=8, delta=1/8). ACE Table 1 energies are WITHOUT symmetry projection (Sec. III.C.2), so they are not the ansatz floor.
-0.751, VMC (HB)
Checked 2026-09-15 · source text of arXiv:2606.00924 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. −0.7510
main text, same paragraph | same instance as above
-0.7509, VMC (tensor BF)
Checked 2026-09-10 · source text/table parsed locally (arXiv HTML or pypdf), no LLM transcription
Reported as. -0.7509 per site
Primary located 2026-09-15: Table I of arXiv:2507.01856, n = 0.875, U = 8, 16x16 PBC, column Ep = 0. First found quoted in Table 1 of arXiv:2604.25775 as Tensor-Backflow [21].
-0.7401(1), VMC (HFPS)
Checked 2026-10-16 · source text of arXiv:2511.07566 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. -0.7401(1)
Table V (App. D 'Supplementary data': 256-site 16x16 cluster, U=8, delta=1/8; columns Filled Stripe | Half-filled stripe + No SC | Half-filled stripe + SC); row t'=0.0, column Half-filled stripe + SC; sources/2511.07566.txt line 1198; version read: arXiv v1 (sources/2511.07566.txt); no journal version (Crossref, arXiv abs page); qmbl-verify 2026-10-19 SP8-heg3d-hubbard-heg2d-heisenberg#75: energy_variance null -> 20.06528 (Energy -0.7401(1) (Table V (txt lines 1193-1200; 'Energy per site of competing phases on a 256 site'), row t′ = 0.0, column Half-filled stripe + SC) and sigma are right (-0.7401 x 256 = -189.4656 (sto) | Eq. (1): H = U sum n_up n_dn - sum t_xx' c+c, t_xx' = t' on next-nearest bonds, periodic; Table V: 16x16, U = 8, doping 1/8, energy per site. The d-wave field Delta_0 enters only the mean-field Hamiltonian of the initial orbitals (Eq. 5, App. D).
-0.7271(3), VMC (HFPS)
Checked 2026-10-16 · source text of arXiv:2511.07566 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. -0.7271(3)
Table V (App. D 'Supplementary data': 256-site 16x16 cluster, U=8, delta=1/8; columns Filled Stripe | Half-filled stripe + No SC | Half-filled stripe + SC); row t'=0.0, column Half-filled stripe + No SC; sources/2511.07566.txt line 1198; version read: arXiv v1 (sources/2511.07566.txt); no journal version (Crossref, arXiv abs page); qmbl-verify 2026-10-19 SP8-heg3d-hubbard-heg2d-heisenberg#74: energy_variance null -> 37.12 (Energy -0.7271(3) (Table V (txt lines 1193-1200; 'Energy per site of competing phases on a 256 site'), row t′ = 0.0, column Half-filled stripe + No SC) and sigma are right (-0.7271 x 256 = -186.1376 () | Eq. (1): H = U sum n_up n_dn - sum t_xx' c+c, t_xx' = t' on next-nearest bonds, periodic; Table V: 16x16, U = 8, doping 1/8, energy per site. The d-wave field Delta_0 enters only the mean-field Hamiltonian of the initial orbitals (Eq. 5, App. D).