How these numbers were read
Where each number below was read, and how it was checked.
-0.4924(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; single reading
Reported as. −0.4924(2)
Main text: 'For Ns=432, they are E0/Ns=−0.4924(2) and E0/Ns=−0.4923(2), respectively' (max. flip. and random initial states). | Paper writes H=J∑S_i·S_j with J=1 (S=1/2 operators, S·S convention, not Pauli); the paper's own isolated-tetrahedron limit value -0.37475(1) matches the exact S·S single-tetrahedron result -3/8=-0.375 per site, confirming no Pauli conversion; magnitude matches catalog's pyrochlore best_per_site scale (~-0.49) directly since the paper already reports E/Ns.
-0.4923(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; single reading
Reported as. −0.4923(2)
Main text: 'For Ns=432, they are E0/Ns=−0.4924(2) and E0/Ns=−0.4923(2), respectively' (max. flip. and random initial states). | Paper writes H=J∑S_i·S_j with J=1 (S=1/2 operators, S·S convention, not Pauli); the paper's own isolated-tetrahedron limit value -0.37475(1) matches the exact S·S single-tetrahedron result -3/8=-0.375 per site, confirming no Pauli conversion; magnitude matches catalog's pyrochlore best_per_site scale (~-0.49) directly since the paper already reports E/Ns.
-0.48851(3), 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. −0.48851(3), sigma^2 = 0.0000935(27)
Supplemental Material Table SII 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
-0.485302(8), 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. −0.485302(8), sigma^2 = 0.0001635(24)
Supplemental Material Table SII 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
-0.485243(7), 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. −0.485243(7), sigma^2 = 0.0001743(22)
Supplemental Material Table SII 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