{
  "model": "ShastrySutherland",
  "lattice": "square",
  "n_sites": 196,
  "boundary": "P",
  "params": {
    "J": 0.8,
    "Jd": 1
  },
  "cluster": "14 x 14 square lattice with orthogonal dimers, periodic boundaries",
  "instance_id": "ShastrySutherland/square_196_P_J0.8_Jd1",
  "rows": [
    {
      "energy": -351.663984,
      "sigma": null,
      "energy_variance": null,
      "dof": 196,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Transformer",
      "method_detail": "n_l = 2 layers",
      "method_as_published": "Transformer, n_l = 2",
      "family": "transformer / ViT",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Viteritti, Rende, Parola, Goldt & Becca, Transformer wave function for two dimensional frustrated magnets: Emergence of a spin-liquid phase in the Shastry-Sutherland model, Phys. Rev. B 111, 134411 (2025), doi:10.1103/PhysRevB.111.134411, arXiv:2311.16889",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2311.16889 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-20)",
        "reported_as": "-0.448551",
        "note": "Table I, L = 14, column n_l = 2; the caption says the Monte Carlo error is on the last digit; version read: arXiv text (sources/2311.16889.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Eq. (1) H = J sum S.S (square bonds) + J' sum S.S (dimer bonds), spin-1/2, J/J' = 0.8, energies per site in units of J' (Table I caption).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2311.16889v4 (10 Apr 2025, journal-ref Phys. Rev. B 111, 134411) PDF, pypdf layout and plain mode (sources/2311.16889v4.layout.txt, .plain.txt; byte-identical to the repo's sources/2311.16889.pdf) and the arXiv v4 HTML Table 1 parsed with node (sources/2311.16889v4.html); v1, v2, v3 PDFs read for comparison. Journal PDF not reached: journals.aps.org/prb/pdf/10.1103/PhysRevB.111.134411 returned HTTP 401 to node fetch on 2026-10-24, no accepted-manuscript link (link.aps.org/accepted 404), harvest.aps.org 'not authorized'. v4 was posted two days after the journal publication date (Crossref published 2025-04-08; accepted 17 March 2025).",
          "location": "Table I (Appendix C), row L = 14, column '2 layers'",
          "reported_as": "-0.448551 per site (in units of J')",
          "conversion": "-0.448551 x 4 x 196 = -351.663984",
          "note": "H = J sum_<r,r'> S.S + J' sum_<<r,r'>> S.S, S = 1/2 (Eq. 1), J square bonds, J' dimer bonds, J/J' = 0.8 = instance J 0.8, Jd 1; energies per site in units of J' (Table I caption, Appendix C text); L x L sites, periodic along a1 = (2,0), a2 = (0,2), N = L^2 = 196; Sz = 0, ground state in Ka = (0,0) with the symmetrised state of Eq. (A1). bound_type variational agrees: a symmetrised (C4 x sigma_xy, Eq. A1) ViT state sampled in Sz = 0, final energy of the optimisation. Versions: v3 (28 Nov 2024) prints the same value to its printed precision; v1/v2 (Table I, row 14 x 14) print -0.448545. Duplicate check: other rows on the instance: no other row on the instance; none repeats this number or quotes this paper. sigma: the caption says only 'The Monte Carlo error due to finite sampling effects is on the last digit'; a table-wide 'error on the last digit' is not a sigma, so sigma stays null (rule of 2026-09-17). Journal version not reached (HTTP 401); the value is from arXiv v4, posted after the journal publication.",
          "source_entry": "famP1-arxiv-2311-16889#16 (qmbl-verify 2026-10-23)"
        }
      }
    },
    {
      "energy": -351.868608,
      "sigma": null,
      "energy_variance": null,
      "dof": 196,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Transformer",
      "method_detail": "n_l = 4 layers",
      "method_as_published": "Transformer, n_l = 4",
      "family": "transformer / ViT",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Viteritti, Rende, Parola, Goldt & Becca, Transformer wave function for two dimensional frustrated magnets: Emergence of a spin-liquid phase in the Shastry-Sutherland model, Phys. Rev. B 111, 134411 (2025), doi:10.1103/PhysRevB.111.134411, arXiv:2311.16889",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2311.16889 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-20)",
        "reported_as": "-0.448812",
        "note": "Table I, L = 14, column n_l = 4; the caption says the Monte Carlo error is on the last digit; version read: arXiv text (sources/2311.16889.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Eq. (1) H = J sum S.S (square bonds) + J' sum S.S (dimer bonds), spin-1/2, J/J' = 0.8, energies per site in units of J' (Table I caption).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2311.16889v4 (10 Apr 2025, journal-ref Phys. Rev. B 111, 134411) PDF, pypdf layout and plain mode (sources/2311.16889v4.layout.txt, .plain.txt; byte-identical to the repo's sources/2311.16889.pdf) and the arXiv v4 HTML Table 1 parsed with node (sources/2311.16889v4.html); v1, v2, v3 PDFs read for comparison. Journal PDF not reached: journals.aps.org/prb/pdf/10.1103/PhysRevB.111.134411 returned HTTP 401 to node fetch on 2026-10-24, no accepted-manuscript link (link.aps.org/accepted 404), harvest.aps.org 'not authorized'. v4 was posted two days after the journal publication date (Crossref published 2025-04-08; accepted 17 March 2025).",
          "location": "Table I (Appendix C), row L = 14, column '4 layers'",
          "reported_as": "-0.448812 per site (in units of J')",
          "conversion": "-0.448812 x 4 x 196 = -351.868608",
          "note": "H = J sum_<r,r'> S.S + J' sum_<<r,r'>> S.S, S = 1/2 (Eq. 1), J square bonds, J' dimer bonds, J/J' = 0.8 = instance J 0.8, Jd 1; energies per site in units of J' (Table I caption, Appendix C text); L x L sites, periodic along a1 = (2,0), a2 = (0,2), N = L^2 = 196; Sz = 0, ground state in Ka = (0,0) with the symmetrised state of Eq. (A1). bound_type variational agrees: a symmetrised (C4 x sigma_xy, Eq. A1) ViT state sampled in Sz = 0, final energy of the optimisation. Versions: v3 (28 Nov 2024) prints the same value to its printed precision; v1/v2 (Table I, row 14 x 14) print -0.448839. Duplicate check: other rows on the instance: no other row on the instance; none repeats this number or quotes this paper. sigma: the caption says only 'The Monte Carlo error due to finite sampling effects is on the last digit'; a table-wide 'error on the last digit' is not a sigma, so sigma stays null (rule of 2026-09-17). Journal version not reached (HTTP 401); the value is from arXiv v4, posted after the journal publication.",
          "source_entry": "famP1-arxiv-2311-16889#18 (qmbl-verify 2026-10-23)"
        }
      }
    },
    {
      "energy": -351.960336,
      "sigma": null,
      "energy_variance": null,
      "dof": 196,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Transformer",
      "method_detail": "n_l = 8 layers",
      "method_as_published": "Transformer, n_l = 8",
      "family": "transformer / ViT",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Viteritti, Rende, Parola, Goldt & Becca, Transformer wave function for two dimensional frustrated magnets: Emergence of a spin-liquid phase in the Shastry-Sutherland model, Phys. Rev. B 111, 134411 (2025), doi:10.1103/PhysRevB.111.134411, arXiv:2311.16889",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2311.16889 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-20)",
        "reported_as": "-0.448929",
        "note": "Table I, L = 14, column n_l = 8; the caption says the Monte Carlo error is on the last digit; version read: arXiv text (sources/2311.16889.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Eq. (1) H = J sum S.S (square bonds) + J' sum S.S (dimer bonds), spin-1/2, J/J' = 0.8, energies per site in units of J' (Table I caption).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2311.16889v4 (10 Apr 2025, journal-ref Phys. Rev. B 111, 134411) PDF, pypdf layout and plain mode (sources/2311.16889v4.layout.txt, .plain.txt; byte-identical to the repo's sources/2311.16889.pdf) and the arXiv v4 HTML Table 1 parsed with node (sources/2311.16889v4.html); v1, v2, v3 PDFs read for comparison. Journal PDF not reached: journals.aps.org/prb/pdf/10.1103/PhysRevB.111.134411 returned HTTP 401 to node fetch on 2026-10-24, no accepted-manuscript link (link.aps.org/accepted 404), harvest.aps.org 'not authorized'. v4 was posted two days after the journal publication date (Crossref published 2025-04-08; accepted 17 March 2025).",
          "location": "Table I (Appendix C), row L = 14, column '8 layers'",
          "reported_as": "-0.448929 per site (in units of J')",
          "conversion": "-0.448929 x 4 x 196 = -351.960336",
          "note": "H = J sum_<r,r'> S.S + J' sum_<<r,r'>> S.S, S = 1/2 (Eq. 1), J square bonds, J' dimer bonds, J/J' = 0.8 = instance J 0.8, Jd 1; energies per site in units of J' (Table I caption, Appendix C text); L x L sites, periodic along a1 = (2,0), a2 = (0,2), N = L^2 = 196; Sz = 0, ground state in Ka = (0,0) with the symmetrised state of Eq. (A1). bound_type variational agrees: a symmetrised (C4 x sigma_xy, Eq. A1) ViT state sampled in Sz = 0, final energy of the optimisation. Versions: v3 (28 Nov 2024) prints the same value to its printed precision; v1/v2 (Table I, row 14 x 14) print -0.448925. Duplicate check: other rows on the instance: no other row on the instance; none repeats this number or quotes this paper. sigma: the caption says only 'The Monte Carlo error due to finite sampling effects is on the last digit'; a table-wide 'error on the last digit' is not a sigma, so sigma stays null (rule of 2026-09-17). Journal version not reached (HTTP 401); the value is from arXiv v4, posted after the journal publication.",
          "source_entry": "famP1-arxiv-2311-16889#20 (qmbl-verify 2026-10-23)"
        }
      }
    },
    {
      "energy": -352.1728,
      "sigma": null,
      "energy_variance": null,
      "dof": 196,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Transformer",
      "method_detail": "extrapolated: variance → 0 (n_l = 2, 4, 8 layers)",
      "method_as_published": "Transformer, Extrap. (n_l → ∞, variance extrapolation)",
      "family": "transformer / ViT",
      "bound_type": "extrapolated",
      "bound_type_reason": "zero-variance or bond-dimension extrapolation; not an upper bound (assigned during source reading)",
      "reference": "Viteritti, Rende, Parola, Goldt & Becca, Transformer wave function for two dimensional frustrated magnets: Emergence of a spin-liquid phase in the Shastry-Sutherland model, Phys. Rev. B 111, 134411 (2025), doi:10.1103/PhysRevB.111.134411, arXiv:2311.16889",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2311.16889 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-20)",
        "reported_as": "-0.44920",
        "note": "Table I, L = 14, column Extrap.; the caption says the Monte Carlo error is on the last digit; version read: arXiv text (sources/2311.16889.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Eq. (1) H = J sum S.S (square bonds) + J' sum S.S (dimer bonds), spin-1/2, J/J' = 0.8, energies per site in units of J' (Table I caption).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2311.16889v4 (10 Apr 2025, journal-ref Phys. Rev. B 111, 134411) PDF, pypdf layout and plain mode (sources/2311.16889v4.layout.txt, .plain.txt; byte-identical to the repo's sources/2311.16889.pdf) and the arXiv v4 HTML Table 1 parsed with node (sources/2311.16889v4.html); v1, v2, v3 PDFs read for comparison. Journal PDF not reached: journals.aps.org/prb/pdf/10.1103/PhysRevB.111.134411 returned HTTP 401 to node fetch on 2026-10-24, no accepted-manuscript link (link.aps.org/accepted 404), harvest.aps.org 'not authorized'. v4 was posted two days after the journal publication date (Crossref published 2025-04-08; accepted 17 March 2025).",
          "location": "Table I (Appendix C), row L = 14, column 'Extrap.'",
          "reported_as": "-0.44920 per site (in units of J')",
          "conversion": "-0.44920 x 4 x 196 = -352.172800",
          "note": "H = J sum_<r,r'> S.S + J' sum_<<r,r'>> S.S, S = 1/2 (Eq. 1), J square bonds, J' dimer bonds, J/J' = 0.8 = instance J 0.8, Jd 1; energies per site in units of J' (Table I caption, Appendix C text); L x L sites, periodic along a1 = (2,0), a2 = (0,2), N = L^2 = 196; Sz = 0, ground state in Ka = (0,0) with the symmetrised state of Eq. (A1). bound_type extrapolated agrees: the caption and Appendix C say the Extrap. column is obtained 'through variance extrapolation' over n_l = 2, 4, 8 for an infinite number of layers. Versions: v3 (28 Nov 2024) prints the same value to its printed precision; v1/v2 (Table I, row 14 x 14) print -0.449207. Duplicate check: other rows on the instance: no other row on the instance; none repeats this number or quotes this paper. sigma: the caption says only 'The Monte Carlo error due to finite sampling effects is on the last digit'; a table-wide 'error on the last digit' is not a sigma, so sigma stays null (rule of 2026-09-17). Journal version not reached (HTTP 401); the value is from arXiv v4, posted after the journal publication.",
          "source_entry": "famP1-arxiv-2311-16889#22 (qmbl-verify 2026-10-23)"
        }
      }
    }
  ],
  "url": "https://qmbl.org/i/ShastrySutherland/square_196_P_J0.8_Jd1/",
  "per_site_divisor": 784,
  "per_site_label": "E/N (S.S)",
  "best": {
    "exact": null,
    "variational": {
      "energy": -351.960336,
      "sigma": null,
      "method": "VMC",
      "ansatz": "Transformer",
      "method_detail": "n_l = 8 layers",
      "reference": "Viteritti, Rende, Parola, Goldt & Becca, Transformer wave function for two dimensional frustrated magnets: Emergence of a spin-liquid phase in the Shastry-Sutherland model, Phys. Rev. B 111, 134411 (2025), doi:10.1103/PhysRevB.111.134411, arXiv:2311.16889",
      "bound_type": "variational",
      "energy_per_site": -0.44892899999999997
    },
    "projected": null,
    "extrapolated": {
      "energy": -352.1728,
      "sigma": null,
      "method": "VMC",
      "ansatz": "Transformer",
      "method_detail": "extrapolated: variance → 0 (n_l = 2, 4, 8 layers)",
      "reference": "Viteritti, Rende, Parola, Goldt & Becca, Transformer wave function for two dimensional frustrated magnets: Emergence of a spin-liquid phase in the Shastry-Sutherland model, Phys. Rev. B 111, 134411 (2025), doi:10.1103/PhysRevB.111.134411, arXiv:2311.16889",
      "bound_type": "extrapolated",
      "energy_per_site": -0.4492
    },
    "approximate": null,
    "below_exact": []
  },
  "no_best_reason": null,
  "record": {
    "energy": -352.1728,
    "sigma": null,
    "method": "VMC",
    "ansatz": "Transformer",
    "method_detail": "extrapolated: variance → 0 (n_l = 2, 4, 8 layers)",
    "reference": "Viteritti, Rende, Parola, Goldt & Becca, Transformer wave function for two dimensional frustrated magnets: Emergence of a spin-liquid phase in the Shastry-Sutherland model, Phys. Rev. B 111, 134411 (2025), doi:10.1103/PhysRevB.111.134411, arXiv:2311.16889",
    "bound_type": "extrapolated",
    "energy_per_site": -0.4492
  },
  "no_record_reason": null
}