How these numbers were read
Where each number below was read, and how it was checked.
-0.5667(1), SBDMRG
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -0.56666(14) per atom
Table III (second block), R = 1.8 row; sources/1705.01608.txt line 1284; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/SBDMRG_CBS: -5.66662 0.00141289 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom.
-0.56656(5), MRCI+Q
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -0.56655(5) per atom
Table III (first block), R = 1.8 row; sources/1705.01608.txt line 1271; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/MRCI+Q_CBS: -5.665580 0.000502 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom.
-0.56654(5), MRCI-F12+Q
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -0.56654(5) per atom
Table III (first block), R = 1.8 row; sources/1705.01608.txt line 1271; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/MRCI+Q+F12_CBS: -5.665370 0.000515 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom.
-0.56644(4), ph-AFQMC
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -0.56644(4) per atom
Table III (first block), R = 1.8 row; sources/1705.01608.txt line 1271; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/AFQMC_CBS: -5.66439 0.000391254 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom.
-0.56638(4), RCCSD(T)
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -0.56638(4) per atom
Table III (second block), R = 1.8 row; sources/1705.01608.txt line 1284; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/RCCSD(T)_CBS: -5.6638 0.000413628 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom.
-0.566255(7), LR-DMC (LDA determinant)
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -0.566255(7) per atom
Table III (first block), R = 1.8 row; sources/1705.01608.txt line 1271; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/LRDMC_LDA_basis-TZ: -5.66255024974787 7.394373597314024E-005 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom.
-0.566234(6), LR-DMC (AGP)
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -0.566234(6) per atom
Table III (first block), R = 1.8 row; sources/1705.01608.txt line 1271; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/LRDMC_AGP_basis-TZ: -5.66233958498021 5.456042620571262E-005 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom.
-0.56623(4), UCCSD(T)
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -0.56623(4) per atom
Table III (second block), R = 1.8 row; sources/1705.01608.txt line 1284; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/UCCSD(T)_CBS: -5.66233 0.000406896 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom.
-0.5657(2), DMET
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -0.56567(22) per atom
Table III (first block), R = 1.8 row; sources/1705.01608.txt line 1271; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/DMET_2_CBS: -5.65669 0.00216997 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom.
-0.56565(4), RCCSD
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -0.56565(4) per atom
Table III (second block), R = 1.8 row; sources/1705.01608.txt line 1284; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/RCCSD_CBS: -5.65649 0.000439936 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom.
-0.565634(5), VMC (JAGP)
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -0.565634(5) per atom
Table III (second block), R = 1.8 row; sources/1705.01608.txt line 1284; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/VMC_AGP_basis-TZ: -5.65634176388069 5.127742243737771E-005 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom.
-0.56533(4), UCCSD
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -0.56533(4) per atom
Table III (second block), R = 1.8 row; sources/1705.01608.txt line 1284; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/UCCSD_CBS: -5.65326 0.000432918 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom.
-0.565201(6), VMC (SJ)
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -0.565201(6) per atom
Table III (second block), R = 1.8 row; sources/1705.01608.txt line 1284; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/VMC_LDA_basis-TZ: -5.65201204830878 6.345493238512738E-005 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom.
-0.56350(5), PC-NEVPT2
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -0.56350(5) per atom
Table III (first block), R = 1.8 row; sources/1705.01608.txt line 1271; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/PC-NEVPT2_CBS: -5.635 0.000580229 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom.
-0.56333(6), SC-NEVPT2
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -0.56333(6) per atom
Table III (first block), R = 1.8 row; sources/1705.01608.txt line 1271; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/SC-NEVPT2_CBS: -5.63332 0.000585427 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom.
-0.55685, VMC (DeepWF)
Checked 2026-10-20 · source text of arXiv:1807.07014 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading (Sonnet reader)
Reported as. -5.5685 Ha per total
Table 1; sources/1807.07014.txt line 338; version read: arXiv text; journal copy not reached (publisher returned HTTP 403 or a login page, 2026-10-21); read again when reachable (RULES.md §8) | Table 1 header line 332 'DeepWF [a.u.]'; caption line 321 'bond length of ... H10 is ... 1.8 a.u.'; line 312 'chain of 10 hydrogen atoms under open boundary conditions' | Nuclear repulsion not stated; -5.57 is of magnitude of total energy of H10 at 1.8 bohr. Continuum. | reader confidence medium
-0.54015(2), HF
Checked 2026-10-20 · source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -5.40150(2) (printed as the H10 total, in a column of per-atom values)
Table III (second block), R = 1.8 row; sources/1705.01608.txt line 1284; version read: journal PDF (PRX 7, 031059, APS, sources/1705.01608-PhysRevX.7.031059.txt) and arXiv text; the table values agree digit for digit. Dataset file N_10_OBC/R_1.8/UHF_CBS: -5.4015025 0.0001904 | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom. | The complete-basis UHF value lies 0.00005598 Ha (total) above the paper's own UHF/cc-pV5Z energy -5.40155598146 on the same geometry, although a finite-basis Hartree-Fock energy bounds the complete-basis limit from above: a property of the fit, noted only, no flag (ruled 2026-10-24).
-0.53974(2), HF
Checked 2026-10-20 · dataset github.com/simonsfoundation/hydrogen-benchmark-PRX, commit b99a183 (2017-10-09, uploaded by the authors), CC BY 4.0; source text of arXiv:1705.01608 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. -5.3974043 0.0001905 (total for N = 10; second number the stated uncertainty)
dataset github.com/simonsfoundation/hydrogen-benchmark-PRX, commit b99a183 (2017-10-09, uploaded by the authors), CC BY 4.0, file N_10_OBC/R_1.8/RHF_CBS in sources/1705.01608-data-b99a183.tsv; number first printed in the dataset (RULES.md §8), the paper is the method reference | Hartree, lengths in bohr (Appendix B). Total energies with nuclear repulsion: FCI/STO-6G H10 at R = 1.8 is -5.42438538 in the dataset and -0.542439 per atom in Table II, and the paper's FCI E_inf = -0.471039 is the STO-6G hydrogen-atom energy per atom. | The complete-basis RHF value lies 0.0000518 Ha (total) above the paper's own RHF/cc-pV5Z energy -5.397456069706 on the same geometry, although a finite-basis Hartree-Fock energy bounds the complete-basis limit from above: a property of the fit, noted only, no flag (ruled 2026-10-24).