How these numbers were read
Rows added after the VarBench import record where the number came from.
-0.6715950(5) — 2D RNN wavefunction, zero-variance extrapolation
Checked 2026-09-14 · arXiv HTML parsed locally from a benchmark comparison table, no LLM transcription
Reported as. -0.671595 (+/- 5e-7) per site in S.S units
Read from Table 5 of arXiv:2502.17144 (SLAHM, E/N in S.S units), parsed from the arXiv HTML. Zero-variance extrapolation, not an achieved energy (RULES.md 4).
-0.67155266(2) — SSE QMC (stochastic series expansion), T -> 0 converged at...
Checked 2026-09-15 · arXiv HTML parsed locally, one value per table cell; no LLM transcription
Reported as. e0 = -0.67155266(2) per spin (S.S), L = 10, periodic
Table 1, "Results for different system sizes computed at inverse temperature beta/L = 64 for L > 30 and averaged over beta/L = 32 and beta/L = 64 simulations for L <= 30", column e0, row L = 10. Pauli total = 4 N e0. The L = 6 value agrees with the exact-diagonalization row on square_36_P to 1.6e-8.
-0.67155260(3) — CNN + MinSR
Checked 2026-09-14 · arXiv HTML parsed locally from a benchmark comparison table, no LLM transcription
Reported as. -0.6715526 (+/- 3e-8) per site in S.S units
Read from Table 5 of arXiv:2502.17144 (SLAHM, E/N in S.S units), parsed from the arXiv HTML. Row "VMC - CNN+MinSR [12]" = Chen & Heyl, Nat. Phys. 20, 1476 (2024).
-0.671519(4) — RBM + Lanczos recursion
Checked 2026-09-14 · found in the citing paper's comparison table, then confirmed in the primary source's own PDF (pypdf); no LLM transcription
Reported as. -0.671519 (+/- 0.000004) per site in S.S units
Read from Table 5 of arXiv:2502.17144 (SLAHM, E/N in S.S units), parsed from the arXiv HTML. Row "RBM+Lanczos [40]" = arXiv:2206.14307. CONFIRMED IN PRIMARY SOURCE - arXiv:2206.14307 Table 4: "10x10 0.671549(4) 5.3124(3) -0.671519(4) 5.38(6)" - Energy(QMC) beside Energy(RBM).
-0.67151(2) — 2D RNN wavefunction (best variational)
Checked 2026-09-14 · arXiv HTML parsed locally from a benchmark comparison table, no LLM transcription
Reported as. -0.67151 (+/- 0.00002) per site in S.S units
Read from Table 5 of arXiv:2502.17144 (SLAHM, E/N in S.S units), parsed from the arXiv HTML. Row "This work (best RNN)".
-0.6713500 ○ — CNN
Checked 2026-09-14 · arXiv HTML parsed locally from a benchmark comparison table, no LLM transcription
Reported as. -0.67135 per site in S.S units
Read from Table 5 of arXiv:2502.17144 (SLAHM, E/N in S.S units), parsed from the arXiv HTML. Row "CNN [33]" = Phys. Rev. B 100, 125124 (2019). No error bar given.