How these numbers were read
Where each number below was read, and how it was checked.
-0.0320524(5) — MP-NQS (plane-wave orbitals)
Checked 2026-10-16 · source text of arXiv:2305.07240 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. −0.0320524(5)
Table II (Appendix G), N=54 unpolarized, rs=20, column MP-NQS; sources/2305.07240.txt line 682; printed in Ha per electron; version read: arXiv text, Appendix G Tables I-V; APS copy not read | Ha per electron, simple cubic cell; Eq. 13 gives the Ewald sum and 'const.'. The WAP-net values it quotes equal arXiv:2202.04622's Table III (Madelung included) / 2 to 5e-7, and its own N = 14, rs = 1 energy sits 0.0376 Ha below QMBL's HF energy, as theirs does.
-0.0320480(6) — MP-NQS (Gaussian orbitals on bcc sites)
Checked 2026-10-16 · source text of arXiv:2305.07240 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. −0.0320480(6)
Table II (Appendix G), N=54 unpolarized, rs=20, column MP-NQS (Gauss); sources/2305.07240.txt line 682; printed in Ha per electron; version read: arXiv text, Appendix G Tables I-V; APS copy not read | Ha per electron, simple cubic cell; Eq. 13 gives the Ewald sum and 'const.'. The WAP-net values it quotes equal arXiv:2202.04622's Table III (Madelung included) / 2 to 5e-7, and its own N = 14, rs = 1 energy sits 0.0376 Ha below QMBL's HF energy, as theirs does.
-0.032047(2) — Fixed-node DMC (trial state: Slater-Jastrow-backflow +...
Checked 2026-10-17 · source text of arXiv:0801.0518 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. −0.032047(2)
Table I, rs=20.0, row BF3, column ED; sources/0801.0518.txt line 271; printed in Ha per electron; version read: arXiv text, Table I; APS copy not read | Ha per electron, 54 electrons (27 + 27) in a simple cubic cell. The paper's Hartree-Fock energies (VMC of the plane-wave determinant) match QMBL's HF energy within their error bars at all six rs, e.g. 0.5689(4) against 0.569245 at rs = 1 (checks/heg-hf/convention-check-2026-10-17.json).
-0.032015(5) — Fixed-node DMC (trial state: Slater-Jastrow-backflow +...
Checked 2026-10-17 · source text of arXiv:cond-mat/9803092 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. -0.06403(1)
Table II, row E^SJ+3BD+BF_FN, rs=20.0; sources/cond-mat-9803092.txt line 624; printed in Ry per electron; version read: arXiv text (sources/cond-mat-9803092.txt), Tables II and III; APS copy not read | Ry per electron (converted × 1/2), N electrons in a cube with periodic boundary conditions (simple cubic). Checked against arXiv:0801.0518 on the same instance: the fixed-node DMC energy with backflow nodes, 1.0601(2) Ry = 0.53005 Ha at N = 54, rs = 1, agrees with its 0.52989(1) Ha, 0.0376 Ha below QMBL's HF energy 0.569245.
-0.0319984(8) — Slater-Jastrow-backflow (homogeneous backflow +...
Checked 2026-10-17 · source text of arXiv:0801.0518 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. −0.0319984(8)
Table I, rs=20.0, row BF3; sources/0801.0518.txt line 271; printed in Ha per electron; version read: arXiv text, Table I; APS copy not read | Ha per electron, 54 electrons (27 + 27) in a simple cubic cell. The paper's Hartree-Fock energies (VMC of the plane-wave determinant) match QMBL's HF energy within their error bars at all six rs, e.g. 0.5689(4) against 0.569245 at rs = 1 (checks/heg-hf/convention-check-2026-10-17.json).
-0.031976(8) — Fixed-node DMC (trial state: Slater-Jastrow)
Checked 2026-10-16 · source text of arXiv:2305.07240 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. −0.031976(8)
Table II (Appendix G), N=54 unpolarized, rs=20, column FN-DMC; sources/2305.07240.txt line 682; printed in Ha per electron; version read: arXiv text, Appendix G Tables I-V; APS copy not read | Ha per electron, simple cubic cell; Eq. 13 gives the Ewald sum and 'const.'. The WAP-net values it quotes equal arXiv:2202.04622's Table III (Madelung included) / 2 to 5e-7, and its own N = 14, rs = 1 energy sits 0.0376 Ha below QMBL's HF energy, as theirs does.
-0.031973(3) — Fixed-node DMC (trial state: Slater-Jastrow +...
Checked 2026-10-17 · source text of arXiv:0801.0518 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. −0.031973(3)
Table I, rs=20.0, row SJ3, column ED; sources/0801.0518.txt line 270; printed in Ha per electron; version read: arXiv text, Table I; APS copy not read | Ha per electron, 54 electrons (27 + 27) in a simple cubic cell. The paper's Hartree-Fock energies (VMC of the plane-wave determinant) match QMBL's HF energy within their error bars at all six rs, e.g. 0.5689(4) against 0.569245 at rs = 1 (checks/heg-hf/convention-check-2026-10-17.json).
-0.031940(5) — Fixed-node DMC (trial state: Slater-Jastrow)
Checked 2026-10-17 · source text of arXiv:cond-mat/9803092 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. -0.06388(1)
Table II, row E^SJ_FN, rs=20.0; sources/cond-mat-9803092.txt line 623; printed in Ry per electron; version read: arXiv text (sources/cond-mat-9803092.txt), Tables II and III; APS copy not read | Ry per electron (converted × 1/2), N electrons in a cube with periodic boundary conditions (simple cubic). Checked against arXiv:0801.0518 on the same instance: the fixed-node DMC energy with backflow nodes, 1.0601(2) Ry = 0.53005 Ha at N = 54, rs = 1, agrees with its 0.52989(1) Ha, 0.0376 Ha below QMBL's HF energy 0.569245.
-0.03189(1) — Slater-Jastrow-backflow (three-body correlation)
Checked 2026-10-17 · source text of arXiv:cond-mat/9803092 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. -0.06378(2)
Table II, row E^SJ+3BD+BF_VMC, rs=20.0; sources/cond-mat-9803092.txt line 621; printed in Ry per electron; version read: arXiv text (sources/cond-mat-9803092.txt), Tables II and III; APS copy not read | Ry per electron (converted × 1/2), N electrons in a cube with periodic boundary conditions (simple cubic). Checked against arXiv:0801.0518 on the same instance: the fixed-node DMC energy with backflow nodes, 1.0601(2) Ry = 0.53005 Ha at N = 54, rs = 1, agrees with its 0.52989(1) Ha, 0.0376 Ha below QMBL's HF energy 0.569245.
-0.031858(1) — Slater-Jastrow (three-electron Jastrow)
Checked 2026-10-17 · source text of arXiv:0801.0518 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. −0.031858(1)
Table I, rs=20.0, row SJ3; sources/0801.0518.txt line 270; printed in Ha per electron; version read: arXiv text, Table I; APS copy not read | Ha per electron, 54 electrons (27 + 27) in a simple cubic cell. The paper's Hartree-Fock energies (VMC of the plane-wave determinant) match QMBL's HF energy within their error bars at all six rs, e.g. 0.5689(4) against 0.569245 at rs = 1 (checks/heg-hf/convention-check-2026-10-17.json).
-0.031825(5) — Slater-Jastrow-backflow
Checked 2026-10-17 · source text of arXiv:cond-mat/9803092 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. -0.06365(1)
Table II, row E^SJ+BF_VMC, rs=20.0; sources/cond-mat-9803092.txt line 620; printed in Ry per electron; version read: arXiv text (sources/cond-mat-9803092.txt), Tables II and III; APS copy not read | Ry per electron (converted × 1/2), N electrons in a cube with periodic boundary conditions (simple cubic). Checked against arXiv:0801.0518 on the same instance: the fixed-node DMC energy with backflow nodes, 1.0601(2) Ry = 0.53005 Ha at N = 54, rs = 1, agrees with its 0.52989(1) Ha, 0.0376 Ha below QMBL's HF energy 0.569245.
-0.031767(2) — Slater-Jastrow
Checked 2026-10-17 · source text of arXiv:0801.0518 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. −0.031767(2)
Table I, rs=20.0, row SJ; sources/0801.0518.txt line 269; printed in Ha per electron; version read: arXiv text, Table I; APS copy not read | Ha per electron, 54 electrons (27 + 27) in a simple cubic cell. The paper's Hartree-Fock energies (VMC of the plane-wave determinant) match QMBL's HF energy within their error bars at all six rs, e.g. 0.5689(4) against 0.569245 at rs = 1 (checks/heg-hf/convention-check-2026-10-17.json).
-0.031740(5) — Slater-Jastrow (three-body correlation)
Checked 2026-10-17 · source text of arXiv:cond-mat/9803092 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. -0.06348(1)
Table II, row E^SJ+3BD_VMC, rs=20.0; sources/cond-mat-9803092.txt line 619; printed in Ry per electron; version read: arXiv text (sources/cond-mat-9803092.txt), Tables II and III; APS copy not read | Ry per electron (converted × 1/2), N electrons in a cube with periodic boundary conditions (simple cubic). Checked against arXiv:0801.0518 on the same instance: the fixed-node DMC energy with backflow nodes, 1.0601(2) Ry = 0.53005 Ha at N = 54, rs = 1, agrees with its 0.52989(1) Ha, 0.0376 Ha below QMBL's HF energy 0.569245.
-0.0316886(1) — DeepSolid (1 determinant, 3 layers 256/32)
Checked 2026-10-16 · source text of arXiv:2203.15472 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. -0.0316886(1)
Supplementary Table 11, row rs=20, column 'Net'; sources/2203.15472.txt line 1018; printed in Ha per electron; version read: arXiv:2203.15472v2 text, Supplementary Table 11; Nature Communications copy not read | Ha per electron, 54-electron closed-shell gas in a simple cubic cell (27 + 27); QMBL's HF check: at rs = 0.5 the energy 3.221226 sits 0.044 Ha below QMBL's HF energy 3.2653295.
-0.031665(5) — Slater-Jastrow
Checked 2026-10-17 · source text of arXiv:cond-mat/9803092 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. -0.06333(1)
Table II, row E^SJ_VMC, rs=20.0; sources/cond-mat-9803092.txt line 618; printed in Ry per electron; version read: arXiv text (sources/cond-mat-9803092.txt), Tables II and III; APS copy not read | Ry per electron (converted × 1/2), N electrons in a cube with periodic boundary conditions (simple cubic). Checked against arXiv:0801.0518 on the same instance: the fixed-node DMC energy with backflow nodes, 1.0601(2) Ry = 0.53005 Ha at N = 54, rs = 1, agrees with its 0.52989(1) Ha, 0.0376 Ha below QMBL's HF energy 0.569245.
-0.03113 — TC-DCD (correlator cutoff k_c = 3 × 2π/L; extrapolated: 1/M...
Checked 2026-10-17 · source text of arXiv:2103.03176 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. -0.03113
Table II, row rs=20.0, column TC-DCD; sources/2103.03176.txt line 394; printed in Ha per electron; version read: arXiv text, Tables I and II; APS copy not read | 'Total energy (a.u./electron), including the Madelung constant' (Table captions), 14 and 54 electrons in a simple cubic cell; the CC energies are extrapolated to the complete basis (linear in 1/M, Sec. IV). At N = 54, rs = 1 the DCD value agrees with arXiv:0801.0518's backflow DMC to 1e-4 Ha.
-0.03055 — TC-CCD (correlator cutoff k_c = 3 × 2π/L; extrapolated: 1/M...
Checked 2026-10-17 · source text of arXiv:2103.03176 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. -0.03055
Table II, row rs=20.0, column TC-CCD; sources/2103.03176.txt line 394; printed in Ha per electron; version read: arXiv text, Tables I and II; APS copy not read | 'Total energy (a.u./electron), including the Madelung constant' (Table captions), 14 and 54 electrons in a simple cubic cell; the CC energies are extrapolated to the complete basis (linear in 1/M, Sec. IV). At N = 54, rs = 1 the DCD value agrees with arXiv:0801.0518's backflow DMC to 1e-4 Ha.
-0.02925 — DCD (extrapolated: 1/M → 0 (complete basis))
Checked 2026-10-17 · source text of arXiv:2103.03176 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. -0.02925
Table II, row rs=20.0, column DCD; sources/2103.03176.txt line 394; printed in Ha per electron; version read: arXiv text, Tables I and II; APS copy not read | 'Total energy (a.u./electron), including the Madelung constant' (Table captions), 14 and 54 electrons in a simple cubic cell; the CC energies are extrapolated to the complete basis (linear in 1/M, Sec. IV). At N = 54, rs = 1 the DCD value agrees with arXiv:0801.0518's backflow DMC to 1e-4 Ha.
-0.02846 — CCD (extrapolated: 1/M → 0 (complete basis))
Checked 2026-10-17 · source text of arXiv:2103.03176 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. -0.02846
Table II, row rs=20.0, column CCD; sources/2103.03176.txt line 394; printed in Ha per electron; version read: arXiv text, Tables I and II; APS copy not read | 'Total energy (a.u./electron), including the Madelung constant' (Table captions), 14 and 54 electrons in a simple cubic cell; the CC energies are extrapolated to the complete basis (linear in 1/M, Sec. IV). At N = 54, rs = 1 the DCD value agrees with arXiv:0801.0518's backflow DMC to 1e-4 Ha.
-0.02205(2) — Hartree-Fock (plane-wave determinant, VMC estimate)
Checked 2026-10-17 · source text of arXiv:0801.0518 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. −0.02205(2)
Table I, rs=20.0, row HF; sources/0801.0518.txt line 268; printed in Ha per electron; version read: arXiv text, Table I; APS copy not read | Ha per electron, 54 electrons (27 + 27) in a simple cubic cell. The paper's Hartree-Fock energies (VMC of the plane-wave determinant) match QMBL's HF energy within their error bars at all six rs, e.g. 0.5689(4) against 0.569245 at rs = 1 (checks/heg-hf/convention-check-2026-10-17.json).