How these numbers were read
Where each number below was read, and how it was checked.
-0.49434(5), 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. −0.49434(5)
Main text: 'the max. flip. initial state converges to the energy E0/Ns=−0.49434(5)... for Ns=128' after variance extrapolation. | 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.
-0.493(1), DMRG
Checked 2026-09-15 · source text of arXiv:2010.03563 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; adversarial re-read: confirmed
Reported as. -0.4928(10)
Table I, row 'Cluster 128': GS energy -0.4928(10). Not present at all in the harvested cells (matcher instead picked up unrelated Table II correlation-strength numbers for this instance); read directly from the source table. | Same S·S convention as the N=32 row (same Hamiltonian, same table).
-0.49229(7), VMC (PP + RBM)
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. −0.49229(7), sigma^2 = 0.000169(12)
Supplemental Material Table SI and Appendix B of arXiv:2311.11561 (v1, the only version) | 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. | VarBench's -0.4922012 for the same ansatz is Pohle's own VarBench submission of 2022-02-26 (varbench commit 380a1fe51c), which predates the paper and is not printed in it; it agrees with this value to 1.1 sigma, so both are carried as separate measurements.
-0.49098(1), 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. −0.49098(1), sigma^2 = 0.000289(4)
Supplemental Material Table SI 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
-0.490325(5), 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. −0.490325(5), sigma^2 = 0.0003150(34)
Supplemental Material Table SI 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
-0.489089(2), VMC (PP + RBM)
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. −0.489089(2), sigma^2 = 0.000407(19)
Supplemental Material Table SI 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
-0.486024(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. −0.486024(3), sigma^2 = 0.000716(4)
Supplemental Material Table SI 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
-0.485451(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. −0.485451(3), sigma^2 = 0.0007353(14)
Supplemental Material Table SI 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