How these numbers were read
Where each number below was read, and how it was checked.
-0.542579, MkMRCCSD(T)
Checked 2026-10-20 · source text of arXiv:1904.01131 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. FCI -5.42439 Ha (total) + difference -1.4 mHa = -5.425790 Ha
Table II, R = 1.8 row; sources/1904.01131.txt line 1756; difference = method - FCI (settled 2026-10-21 from the text); version read: arXiv text | Totals in Hartree with nuclear repulsion: the FCI column equals the 2017 STO-6G FCI totals to 5 decimals. | perturbative triples on coupled cluster, RULES.md §13.4 (provisional, 2026-10-21) | reader confidence medium
-0.542489, CCSDT
Checked 2026-10-20 · source text of arXiv:1904.01131 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. FCI -5.42439 Ha (total) + difference -0.5 mHa = -5.424890 Ha
Table II, R = 1.8 row; sources/1904.01131.txt line 1756; difference = method - FCI (settled 2026-10-21 from the text); version read: arXiv text | Totals in Hartree with nuclear repulsion: the FCI column equals the 2017 STO-6G FCI totals to 5 decimals. | reader confidence medium
-0.542469, MkMRCCSD
Checked 2026-10-20 · source text of arXiv:1904.01131 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. FCI -5.42439 Ha (total) + difference -0.3 mHa = -5.424690 Ha
Table II, R = 1.8 row; sources/1904.01131.txt line 1756; difference = method - FCI (settled 2026-10-21 from the text); version read: arXiv text | Totals in Hartree with nuclear repulsion: the FCI column equals the 2017 STO-6G FCI totals to 5 decimals. | reader confidence medium
-0.542439, CCSDTQ
Checked 2026-10-20 · source text of arXiv:1904.01131 read locally (pypdf layout text; the generator finds every value again on its line), no LLM transcription of numbers; single reading
Reported as. FCI -5.42439 Ha (total) + difference 0.0 mHa = -5.424390 Ha
Table II, R = 1.8 row; sources/1904.01131.txt line 1756; difference = method - FCI (settled 2026-10-21 from the text); version read: arXiv text | Totals in Hartree with nuclear repulsion: the FCI column equals the 2017 STO-6G FCI totals to 5 decimals. | reader confidence medium
-0.542439, FCI
Checked 2026-10-20 · source text of arXiv:2305.12776 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. −5.42439 Ha per total
Table S2; sources/2305.12776.txt line 1153; 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) | line 1143: 'ground-state energies'; no unit printed; H10 FCI 1.8 bohr -5.42439 = -0.5424/atom, matches Motta 2017 total Ha incl. nuclear repulsion | Unit Ha and nuclear repulsion inferred from agreement with the known H10 STO-6G value, not stated. CMO/LMO = NQS in canonical/localized MO basis.; the source's own FCI: it compares its selected configurations with the FCI wave functions at 1.8 and 3.6 bohr (Fig. 7c, d), a row beside the FCI of arXiv:1705.01608 under RULES.md 6 (2026-10-24) | reader confidence medium
-0.5424385, MRCI+Q
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. -5.42438538 (total for N = 10)
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/MRCI+Q_basis-STO 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. | In STO-6G the (10,10) CASSCF reference spans the whole orbital space (one 1s function per atom), so MRCI equals CASSCF equals full CI here and the Davidson correction vanishes. Kept as the paper's published row, no extra exact row (ruled 2026-10-24).
-0.5424385, MRCI
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. -5.42438538 (total for N = 10)
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/MRCI_basis-STO 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. | In STO-6G the (10,10) CASSCF reference spans the whole orbital space (one 1s function per atom), so MRCI equals CASSCF equals full CI here and the Davidson correction vanishes. Kept as the paper's published row, no extra exact row (ruled 2026-10-24).
-0.5424385, FCI
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. -0.542439 per atom
Table II, R = 1.8 row; sources/1705.01608.txt line 1256; 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/FCI_basis-STO: -5.42438538 | 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.
-0.5424385, DMRG
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. -5.424385 (total for N = 10)
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/DMRG_basis-STO 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. | Read as the variational energy of the final sweep at bond dimension D = 2000 (Appendix A runs Block with the standard settings of Ref. [66], whose schedule ends at the maximum M; the paper names no extrapolation in the bond dimension). Medium confidence: Ref. [66] also describes extrapolation to zero discarded weight, and the paper does not say whether these energies were extrapolated (ruled 2026-10-24). | reader confidence medium
-0.542435, VMC (RBM)
Checked 2026-10-20 · source text of arXiv:2305.12776 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. −5.42435 Ha per total
Table S2; sources/2305.12776.txt line 1153; 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) | line 1143: 'ground-state energies'; no unit printed; H10 FCI 1.8 bohr -5.42439 = -0.5424/atom, matches Motta 2017 total Ha incl. nuclear repulsion | Unit Ha and nuclear repulsion inferred from agreement with the known H10 STO-6G value, not stated. CMO/LMO = NQS in canonical/localized MO basis. | Variational (ruled 2026-10-24). The paper does not state whether the printed LMO energy is the optimisation-time estimator of eq. 12 or the variational energy of the truncated state of eq. 13 at the selection cutoff 1e-3 used for these runs; it calls the two equal only for cutoffs up to 1e-5. | reader confidence medium
-0.542419, CCSD(T)
Checked 2026-10-20 · source text of arXiv:2305.12776 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. −5.42419 Ha per total
Table S2; sources/2305.12776.txt line 1153; 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) | line 1143: 'ground-state energies'; no unit printed; H10 FCI 1.8 bohr -5.42439 = -0.5424/atom, matches Motta 2017 total Ha incl. nuclear repulsion | Unit Ha and nuclear repulsion inferred from agreement with the known H10 STO-6G value, not stated. CMO/LMO = NQS in canonical/localized MO basis. | reader confidence medium
-0.5424188, 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. -0.542418 per atom
Table II, R = 1.8 row; sources/1705.01608.txt line 1256; 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)_basis-STO: -5.424188 | 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.
-0.5422549, 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. -0.542254 per atom
Table II, R = 1.8 row; sources/1705.01608.txt line 1256; 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_basis-STO: -5.422549 | 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.
-0.54219(3), ph-AFQMC (UHF)
Checked 2026-10-20 · source text of arXiv:2605.02056 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. −5.4219(3) Ha per total
Table III; sources/2605.02056.txt line 1243; version read: arXiv text; no journal version found | header "R(Bohr)", "This work (Ha)", caption "AFQMC(UHF) total energies for H10"; magnitude matches total energy incl. nuclear repulsion (H10 R=1.8 STO-6G ~ -5.42) | unicode minus sign U+2212 as printed
-0.54218(6), 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. -0.54218(6) per atom
Table II, R = 1.8 row; sources/1705.01608.txt line 1256; 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_basis-STO: -5.4218 0.0006 | 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.
-0.542175, 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. -0.542175 per atom
Table II, R = 1.8 row; sources/1705.01608.txt line 1256; 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)_basis-STO: -5.421750 | 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.
-0.541879, VMC (RBM)
Checked 2026-10-20 · source text of arXiv:2305.12776 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. −5.41879 Ha per total
Table S2; sources/2305.12776.txt line 1153; 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) | line 1143: 'ground-state energies'; no unit printed; H10 FCI 1.8 bohr -5.42439 = -0.5424/atom, matches Motta 2017 total Ha incl. nuclear repulsion | Unit Ha and nuclear repulsion inferred from agreement with the known H10 STO-6G value, not stated. CMO/LMO = NQS in canonical/localized MO basis. | reader confidence medium
-0.5418645, SEET
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. -0.5418 per atom
Table II, R = 1.8 row; sources/1705.01608.txt line 1256; 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/SEET_CI-GF2_mix(6,SAO)_basis-STO: -5.418645074 | 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.
-0.5418451, SEET
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. -0.5418 per atom
Table II, R = 1.8 row; sources/1705.01608.txt line 1256; 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/SEET_CI-HF_mix(6,SAO)_basis-STO: -5.418451481 | 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.
-0.541742, 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. -0.541742 per atom
Table II, R = 1.8 row; sources/1705.01608.txt line 1256; 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_basis-STO: -5.417420 | 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.
-0.5413032, SEET
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. -0.5413 per atom
Table II, R = 1.8 row; sources/1705.01608.txt line 1256; 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/SEET_CI-HF_mix(4,SAO)_basis-STO: -5.413031632 | 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.
-0.5410976, 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. -0.541097 per atom
Table II, R = 1.8 row; sources/1705.01608.txt line 1256; 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_basis-STO: -5.410976 | 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.
-0.540312, GW
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. -0.540312 per atom
Table II, R = 1.8 row; sources/1705.01608.txt line 1256; 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-GW_basis-STO: -5.40312 | 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.
-0.5371119, GF2
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. -0.537111 per atom
Table II, R = 1.8 row; sources/1705.01608.txt line 1256; 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/GF2_basis-STO: -5.37111877 | 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.
-0.5371026, GF2
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. -5.37102555 (total for N = 10)
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/UGF2_basis-STO 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.
-0.527745, 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. -0.527745 per atom
Table II, R = 1.8 row; sources/1705.01608.txt line 1256; 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_basis-STO: -5.27744870209 | 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.
-0.527014, 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. -0.527014 per atom
Table II, R = 1.8 row; sources/1705.01608.txt line 1256; 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/RHF_basis-STO: -5.2701429637 | 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.