{
  "model": "ShastrySutherland",
  "lattice": "square",
  "n_sites": 144,
  "boundary": "P",
  "params": {
    "J": 0.7,
    "Jd": 1
  },
  "cluster": "12 x 12 square lattice with orthogonal dimers, periodic boundaries (torus)",
  "instance_id": "ShastrySutherland/square_144_P_J0.7_Jd1",
  "rows": [
    {
      "energy": -216.73152,
      "sigma": null,
      "energy_variance": null,
      "dof": 144,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "Gutzwiller-projected partons, Table VI case (i): EP state",
      "method_as_published": "Gutzwiller-projected parton state, case (i) EP state",
      "family": "classic VMC",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Chen & Liu, Deconfined gapless phases and criticalities in the Shastry-Sutherland antiferromagnet, Phys. Rev. B 113, 224440 (2026), doi:10.1103/hvlq-d179, arXiv:2503.20122",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2503.20122 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": "-0.37627",
        "note": "Table VI, case (i); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2503.20122v2 (submitted 2026-03-12, PDF dated March 16, 2026), PDF via pypdf layout mode and arXiv HTML v2; arXiv v1 (2025-03-26) has no Table VI energies; Phys. Rev. B 113, 224440 (2026) full text not reached (APS returned 401 / 'Authorization Required' from this session); APS page: Received 22 December 2025, Revised 12 March 2026, Accepted 2 June 2026, Published 23 June 2026",
          "location": "Table VI, row (i) ('(i) EP state'), column E; caption 'Energy and variational mean-field parameters for different cases (12×12 sites by default) with J1/J2 = 0.7, Jr = 0.'",
          "reported_as": "-0.37627 (Table VI column E; unit not printed, per site in units of J2)",
          "conversion": "-0.37627 * 4 * 144 = -216.731520 (S.S per site in units of J2 -> Pauli total)",
          "note": "Value confirmed: Table VI row '(i) EP state' prints E = -0.37627; -0.37627 * 4 * 144 = -216.731520 (S.S per site in units of J2 -> Pauli total) equals stored -216.73152. Lattice 12 x 12 (caption: 12x12 sites by default), torus (fermion BCs +/- define 4 topological sectors on a torus), J1/J2 = 0.7, Jr = 0 (caption), J1 on square bonds, J2 on the dimer diagonals = QMBL J = 0.7, Jd = 1; no constant shift; no error bar printed; bound_type variational agrees. Published as Phys. Rev. B 113, 224440 (2026) (Crossref and the APS abstract page, read 2026-10-24); the journal full text was not reached.",
          "source_entry": "famP5-arxiv-2503-20122#0 (qmbl-verify 2026-10-23; skeptic upheld)"
        }
      }
    },
    {
      "energy": -208.13184,
      "sigma": null,
      "energy_variance": null,
      "dof": 144,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "Gutzwiller-projected partons, Table VI case (ii): switch plaquette",
      "method_as_published": "Gutzwiller-projected parton state, case (ii) switch plaquette",
      "family": "classic VMC",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Chen & Liu, Deconfined gapless phases and criticalities in the Shastry-Sutherland antiferromagnet, Phys. Rev. B 113, 224440 (2026), doi:10.1103/hvlq-d179, arXiv:2503.20122",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2503.20122 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": "-0.36134",
        "note": "Table VI, case (ii); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2503.20122v2 (submitted 2026-03-12, PDF dated March 16, 2026), PDF via pypdf layout mode and arXiv HTML v2; arXiv v1 (2025-03-26) has no Table VI energies; Phys. Rev. B 113, 224440 (2026) full text not reached (APS returned 401 / 'Authorization Required' from this session); APS page: Received 22 December 2025, Revised 12 March 2026, Accepted 2 June 2026, Published 23 June 2026",
          "location": "Table VI, row (ii) ('(ii) switch plaquette'), column E; caption 'Energy and variational mean-field parameters for different cases (12×12 sites by default) with J1/J2 = 0.7, Jr = 0.'",
          "reported_as": "-0.36134 (Table VI column E; unit not printed, per site in units of J2)",
          "conversion": "-0.36134 * 4 * 144 = -208.131840 (S.S per site in units of J2 -> Pauli total)",
          "note": "Value confirmed: Table VI row '(ii) switch plaquette' prints E = -0.36134; -0.36134 * 4 * 144 = -208.131840 (S.S per site in units of J2 -> Pauli total) equals stored -208.13184. Lattice 12 x 12 (caption: 12x12 sites by default), torus (fermion BCs +/- define 4 topological sectors on a torus), J1/J2 = 0.7, Jr = 0 (caption), J1 on square bonds, J2 on the dimer diagonals = QMBL J = 0.7, Jd = 1; no constant shift; no error bar printed; bound_type variational agrees; parameters of case (i) with eta_x switched (1.2957), not re-optimised (still an upper bound). Published as Phys. Rev. B 113, 224440 (2026) (Crossref and the APS abstract page, read 2026-10-24); the journal full text was not reached.",
          "source_entry": "famP5-arxiv-2503-20122#2 (qmbl-verify 2026-10-23; skeptic upheld)"
        }
      }
    },
    {
      "energy": -216.69696,
      "sigma": null,
      "energy_variance": null,
      "dof": 144,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "Gutzwiller-projected partons, Table VI case (iii): switch plaquette, -Δ2",
      "method_as_published": "Gutzwiller-projected parton state, case (iii) switch plaquette, -Δ2",
      "family": "classic VMC",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Chen & Liu, Deconfined gapless phases and criticalities in the Shastry-Sutherland antiferromagnet, Phys. Rev. B 113, 224440 (2026), doi:10.1103/hvlq-d179, arXiv:2503.20122",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2503.20122 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": "-0.37621",
        "note": "Table VI, case (iii); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2503.20122v2 (submitted 2026-03-12, PDF dated March 16, 2026), PDF via pypdf layout mode and arXiv HTML v2; arXiv v1 (2025-03-26) has no Table VI energies; Phys. Rev. B 113, 224440 (2026) full text not reached (APS returned 401 / 'Authorization Required' from this session); APS page: Received 22 December 2025, Revised 12 March 2026, Accepted 2 June 2026, Published 23 June 2026",
          "location": "Table VI, row (iii) ('(iii) switch plaquette,-∆2'), column E; caption 'Energy and variational mean-field parameters for different cases (12×12 sites by default) with J1/J2 = 0.7, Jr = 0.'",
          "reported_as": "-0.37621 (Table VI column E; unit not printed, per site in units of J2)",
          "conversion": "-0.37621 * 4 * 144 = -216.696960 (S.S per site in units of J2 -> Pauli total)",
          "note": "Value confirmed: Table VI row '(iii) switch plaquette,-∆2' prints E = -0.37621; -0.37621 * 4 * 144 = -216.696960 (S.S per site in units of J2 -> Pauli total) equals stored -216.69696. Lattice 12 x 12 (caption: 12x12 sites by default), torus (fermion BCs +/- define 4 topological sectors on a torus), J1/J2 = 0.7, Jr = 0 (caption), J1 on square bonds, J2 on the dimer diagonals = QMBL J = 0.7, Jd = 1; no constant shift; no error bar printed; bound_type variational agrees; parameters of case (ii) with Delta2 sign flipped, not re-optimised (still an upper bound). Published as Phys. Rev. B 113, 224440 (2026) (Crossref and the APS abstract page, read 2026-10-24); the journal full text was not reached.",
          "source_entry": "famP5-arxiv-2503-20122#4 (qmbl-verify 2026-10-23; skeptic upheld)"
        }
      }
    },
    {
      "energy": -213.339456,
      "sigma": null,
      "energy_variance": null,
      "dof": 144,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "Gutzwiller-projected partons, Table VI case (iv): No plaquette order",
      "method_as_published": "Gutzwiller-projected parton state, case (iv) No plaquette order",
      "family": "classic VMC",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Chen & Liu, Deconfined gapless phases and criticalities in the Shastry-Sutherland antiferromagnet, Phys. Rev. B 113, 224440 (2026), doi:10.1103/hvlq-d179, arXiv:2503.20122",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2503.20122 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": "-0.370381",
        "note": "Table VI, case (iv); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2503.20122v2 (submitted 2026-03-12, PDF dated March 16, 2026), PDF via pypdf layout mode and arXiv HTML v2; arXiv v1 (2025-03-26) has no Table VI energies; Phys. Rev. B 113, 224440 (2026) full text not reached (APS returned 401 / 'Authorization Required' from this session); APS page: Received 22 December 2025, Revised 12 March 2026, Accepted 2 June 2026, Published 23 June 2026",
          "location": "Table VI, row (iv) ('(iv) No plaquette order'), column E; caption 'Energy and variational mean-field parameters for different cases (12×12 sites by default) with J1/J2 = 0.7, Jr = 0.'",
          "reported_as": "-0.370381 (Table VI column E; unit not printed, per site in units of J2)",
          "conversion": "-0.370381 * 4 * 144 = -213.339456 (S.S per site in units of J2 -> Pauli total)",
          "note": "Value confirmed: Table VI row '(iv) No plaquette order' prints E = -0.370381; -0.370381 * 4 * 144 = -213.339456 (S.S per site in units of J2 -> Pauli total) equals stored -213.339456. Lattice 12 x 12 (caption: 12x12 sites by default), torus (fermion BCs +/- define 4 topological sectors on a torus), J1/J2 = 0.7, Jr = 0 (caption), J1 on square bonds, J2 on the dimer diagonals = QMBL J = 0.7, Jd = 1; no constant shift; no error bar printed; bound_type variational agrees; parameters of case (i) with eta_x fixed to 1, not re-optimised (still an upper bound). Published as Phys. Rev. B 113, 224440 (2026) (Crossref and the APS abstract page, read 2026-10-24); the journal full text was not reached.",
          "source_entry": "famP5-arxiv-2503-20122#6 (qmbl-verify 2026-10-23; skeptic upheld)"
        }
      }
    },
    {
      "energy": -216.70272,
      "sigma": null,
      "energy_variance": null,
      "dof": 144,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "Gutzwiller-projected partons, Table VI case (v): other EP state",
      "method_as_published": "Gutzwiller-projected parton state, case (v) other EP state",
      "family": "classic VMC",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Chen & Liu, Deconfined gapless phases and criticalities in the Shastry-Sutherland antiferromagnet, Phys. Rev. B 113, 224440 (2026), doi:10.1103/hvlq-d179, arXiv:2503.20122",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2503.20122 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": "-0.37622",
        "note": "Table VI, case (v); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2503.20122v2 (submitted 2026-03-12, PDF dated March 16, 2026), PDF via pypdf layout mode and arXiv HTML v2; arXiv v1 (2025-03-26) has no Table VI energies; Phys. Rev. B 113, 224440 (2026) full text not reached (APS returned 401 / 'Authorization Required' from this session); APS page: Received 22 December 2025, Revised 12 March 2026, Accepted 2 June 2026, Published 23 June 2026",
          "location": "Table VI, row (v) ('(v) other EP state'), column E; caption 'Energy and variational mean-field parameters for different cases (12×12 sites by default) with J1/J2 = 0.7, Jr = 0.'",
          "reported_as": "-0.37622 (Table VI column E; unit not printed, per site in units of J2)",
          "conversion": "-0.37622 * 4 * 144 = -216.702720 (S.S per site in units of J2 -> Pauli total)",
          "note": "Value confirmed: Table VI row '(v) other EP state' prints E = -0.37622; -0.37622 * 4 * 144 = -216.702720 (S.S per site in units of J2 -> Pauli total) equals stored -216.70272. Lattice 12 x 12 (caption: 12x12 sites by default), torus (fermion BCs +/- define 4 topological sectors on a torus), J1/J2 = 0.7, Jr = 0 (caption), J1 on square bonds, J2 on the dimer diagonals = QMBL J = 0.7, Jd = 1; no constant shift; no error bar printed; bound_type variational agrees. Published as Phys. Rev. B 113, 224440 (2026) (Crossref and the APS abstract page, read 2026-10-24); the journal full text was not reached.",
          "source_entry": "famP5-arxiv-2503-20122#8 (qmbl-verify 2026-10-23; skeptic upheld)"
        }
      }
    },
    {
      "energy": -216.22464,
      "sigma": null,
      "energy_variance": null,
      "dof": 144,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "Gutzwiller-projected partons, Table VI case (vii): no potential, t2 dominate",
      "method_as_published": "Gutzwiller-projected parton state, case (vii) no potential, t2 dominate",
      "family": "classic VMC",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Chen & Liu, Deconfined gapless phases and criticalities in the Shastry-Sutherland antiferromagnet, Phys. Rev. B 113, 224440 (2026), doi:10.1103/hvlq-d179, arXiv:2503.20122",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2503.20122 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": "-0.37539",
        "note": "Table VI, case (vii); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2503.20122v2 (submitted 2026-03-12, PDF dated March 16, 2026), PDF via pypdf layout mode and arXiv HTML v2; arXiv v1 (2025-03-26) has no Table VI energies; Phys. Rev. B 113, 224440 (2026) full text not reached (APS returned 401 / 'Authorization Required' from this session); APS page: Received 22 December 2025, Revised 12 March 2026, Accepted 2 June 2026, Published 23 June 2026",
          "location": "Table VI, row (vii) ('(vii) no potential,t2 dominate'), column E; caption 'Energy and variational mean-field parameters for different cases (12×12 sites by default) with J1/J2 = 0.7, Jr = 0.'",
          "reported_as": "-0.37539 (Table VI column E; unit not printed, per site in units of J2)",
          "conversion": "-0.37539 * 4 * 144 = -216.224640 (S.S per site in units of J2 -> Pauli total)",
          "note": "Value confirmed: Table VI row '(vii) no potential,t2 dominate' prints E = -0.37539; -0.37539 * 4 * 144 = -216.224640 (S.S per site in units of J2 -> Pauli total) equals stored -216.22464. Lattice 12 x 12 (caption: 12x12 sites by default), torus (fermion BCs +/- define 4 topological sectors on a torus), J1/J2 = 0.7, Jr = 0 (caption), J1 on square bonds, J2 on the dimer diagonals = QMBL J = 0.7, Jd = 1; no constant shift; no error bar printed; bound_type variational agrees. Published as Phys. Rev. B 113, 224440 (2026) (Crossref and the APS abstract page, read 2026-10-24); the journal full text was not reached.",
          "source_entry": "famP5-arxiv-2503-20122#10 (qmbl-verify 2026-10-23; skeptic upheld)"
        }
      }
    },
    {
      "energy": -216.15552,
      "sigma": null,
      "energy_variance": null,
      "dof": 144,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "Gutzwiller-projected partons, Table VI case (viii): no potential, Δ2 dominate",
      "method_as_published": "Gutzwiller-projected parton state, case (viii) no potential, Δ2 dominate",
      "family": "classic VMC",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Chen & Liu, Deconfined gapless phases and criticalities in the Shastry-Sutherland antiferromagnet, Phys. Rev. B 113, 224440 (2026), doi:10.1103/hvlq-d179, arXiv:2503.20122",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2503.20122 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": "-0.37527",
        "note": "Table VI, case (viii); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2503.20122v2 (submitted 2026-03-12, PDF dated March 16, 2026), PDF via pypdf layout mode and arXiv HTML v2; arXiv v1 (2025-03-26) has no Table VI energies; Phys. Rev. B 113, 224440 (2026) full text not reached (APS returned 401 / 'Authorization Required' from this session); APS page: Received 22 December 2025, Revised 12 March 2026, Accepted 2 June 2026, Published 23 June 2026",
          "location": "Table VI, row (viii) ('(viii) no potential, ∆2 dominate'), column E; caption 'Energy and variational mean-field parameters for different cases (12×12 sites by default) with J1/J2 = 0.7, Jr = 0.'",
          "reported_as": "-0.37527 (Table VI column E; unit not printed, per site in units of J2)",
          "conversion": "-0.37527 * 4 * 144 = -216.155520 (S.S per site in units of J2 -> Pauli total)",
          "note": "Value confirmed: Table VI row '(viii) no potential, ∆2 dominate' prints E = -0.37527; -0.37527 * 4 * 144 = -216.155520 (S.S per site in units of J2 -> Pauli total) equals stored -216.15552. Lattice 12 x 12 (caption: 12x12 sites by default), torus (fermion BCs +/- define 4 topological sectors on a torus), J1/J2 = 0.7, Jr = 0 (caption), J1 on square bonds, J2 on the dimer diagonals = QMBL J = 0.7, Jd = 1; no constant shift; no error bar printed; bound_type variational agrees. Published as Phys. Rev. B 113, 224440 (2026) (Crossref and the APS abstract page, read 2026-10-24); the journal full text was not reached.",
          "source_entry": "famP5-arxiv-2503-20122#12 (qmbl-verify 2026-10-23; skeptic upheld)"
        }
      }
    },
    {
      "energy": -216.21312,
      "sigma": null,
      "energy_variance": null,
      "dof": 144,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "Gutzwiller-projected partons, Table VI case (ix): small potential",
      "method_as_published": "Gutzwiller-projected parton state, case (ix) small potential",
      "family": "classic VMC",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Chen & Liu, Deconfined gapless phases and criticalities in the Shastry-Sutherland antiferromagnet, Phys. Rev. B 113, 224440 (2026), doi:10.1103/hvlq-d179, arXiv:2503.20122",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2503.20122 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": "-0.37537",
        "note": "Table VI, case (ix); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2503.20122v2 (submitted 2026-03-12, PDF dated March 16, 2026), PDF via pypdf layout mode and arXiv HTML v2; arXiv v1 (2025-03-26) has no Table VI energies; Phys. Rev. B 113, 224440 (2026) full text not reached (APS returned 401 / 'Authorization Required' from this session); APS page: Received 22 December 2025, Revised 12 March 2026, Accepted 2 June 2026, Published 23 June 2026",
          "location": "Table VI, row (ix) ('(ix) small potential'), column E; caption 'Energy and variational mean-field parameters for different cases (12×12 sites by default) with J1/J2 = 0.7, Jr = 0.'",
          "reported_as": "-0.37537 (Table VI column E; unit not printed, per site in units of J2)",
          "conversion": "-0.37537 * 4 * 144 = -216.213120 (S.S per site in units of J2 -> Pauli total)",
          "note": "Value confirmed: Table VI row '(ix) small potential' prints E = -0.37537; -0.37537 * 4 * 144 = -216.213120 (S.S per site in units of J2 -> Pauli total) equals stored -216.21312. Lattice 12 x 12 (caption: 12x12 sites by default), torus (fermion BCs +/- define 4 topological sectors on a torus), J1/J2 = 0.7, Jr = 0 (caption), J1 on square bonds, J2 on the dimer diagonals = QMBL J = 0.7, Jd = 1; no constant shift; no error bar printed; bound_type variational agrees. Published as Phys. Rev. B 113, 224440 (2026) (Crossref and the APS abstract page, read 2026-10-24); the journal full text was not reached.",
          "source_entry": "famP5-arxiv-2503-20122#14 (qmbl-verify 2026-10-23; skeptic upheld)"
        }
      }
    },
    {
      "energy": -214.89408,
      "sigma": null,
      "energy_variance": null,
      "dof": 144,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "Gutzwiller-projected partons, Table VI case (x): no Δ2",
      "method_as_published": "Gutzwiller-projected parton state, case (x) no Δ2",
      "family": "classic VMC",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Chen & Liu, Deconfined gapless phases and criticalities in the Shastry-Sutherland antiferromagnet, Phys. Rev. B 113, 224440 (2026), doi:10.1103/hvlq-d179, arXiv:2503.20122",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2503.20122 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": "-0.37308",
        "note": "Table VI, case (x); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2503.20122v2 (submitted 2026-03-12, PDF dated March 16, 2026), PDF via pypdf layout mode and arXiv HTML v2; arXiv v1 (2025-03-26) has no Table VI energies; Phys. Rev. B 113, 224440 (2026) full text not reached (APS returned 401 / 'Authorization Required' from this session); APS page: Received 22 December 2025, Revised 12 March 2026, Accepted 2 June 2026, Published 23 June 2026",
          "location": "Table VI, row (x) ('(x) no ∆2'), column E; caption 'Energy and variational mean-field parameters for different cases (12×12 sites by default) with J1/J2 = 0.7, Jr = 0.'",
          "reported_as": "-0.37308 (Table VI column E; unit not printed, per site in units of J2)",
          "conversion": "-0.37308 * 4 * 144 = -214.894080 (S.S per site in units of J2 -> Pauli total)",
          "note": "Value confirmed: Table VI row '(x) no ∆2' prints E = -0.37308; -0.37308 * 4 * 144 = -214.894080 (S.S per site in units of J2 -> Pauli total) equals stored -214.89408. Lattice 12 x 12 (caption: 12x12 sites by default), torus (fermion BCs +/- define 4 topological sectors on a torus), J1/J2 = 0.7, Jr = 0 (caption), J1 on square bonds, J2 on the dimer diagonals = QMBL J = 0.7, Jd = 1; no constant shift; no error bar printed; bound_type variational agrees. Published as Phys. Rev. B 113, 224440 (2026) (Crossref and the APS abstract page, read 2026-10-24); the journal full text was not reached.",
          "source_entry": "famP5-arxiv-2503-20122#16 (qmbl-verify 2026-10-23; skeptic upheld)"
        }
      }
    },
    {
      "energy": -216.06912,
      "sigma": null,
      "energy_variance": null,
      "dof": 144,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "Gutzwiller-projected partons, Table VI case (xi): splitting Néel phase",
      "method_as_published": "Gutzwiller-projected parton state, case (xi) splitting Néel phase",
      "family": "classic VMC",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Chen & Liu, Deconfined gapless phases and criticalities in the Shastry-Sutherland antiferromagnet, Phys. Rev. B 113, 224440 (2026), doi:10.1103/hvlq-d179, arXiv:2503.20122",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2503.20122 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": "-0.37512",
        "note": "Table VI, case (xi); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2503.20122v2 (submitted 2026-03-12, PDF dated March 16, 2026), PDF via pypdf layout mode and arXiv HTML v2; arXiv v1 (2025-03-26) has no Table VI energies; Phys. Rev. B 113, 224440 (2026) full text not reached (APS returned 401 / 'Authorization Required' from this session); APS page: Received 22 December 2025, Revised 12 March 2026, Accepted 2 June 2026, Published 23 June 2026",
          "location": "Table VI, row (xi) ('(xi) splitting Néel phase'), column E; caption 'Energy and variational mean-field parameters for different cases (12×12 sites by default) with J1/J2 = 0.7, Jr = 0.'",
          "reported_as": "-0.37512 (Table VI column E; unit not printed, per site in units of J2)",
          "conversion": "-0.37512 * 4 * 144 = -216.069120 (S.S per site in units of J2 -> Pauli total)",
          "note": "Value confirmed: Table VI row '(xi) splitting Néel phase' prints E = -0.37512; -0.37512 * 4 * 144 = -216.069120 (S.S per site in units of J2 -> Pauli total) equals stored -216.06912. Lattice 12 x 12 (caption: 12x12 sites by default), torus (fermion BCs +/- define 4 topological sectors on a torus), J1/J2 = 0.7, Jr = 0 (caption), J1 on square bonds, J2 on the dimer diagonals = QMBL J = 0.7, Jd = 1; no constant shift; no error bar printed; bound_type variational agrees. Published as Phys. Rev. B 113, 224440 (2026) (Crossref and the APS abstract page, read 2026-10-24); the journal full text was not reached.",
          "source_entry": "famP5-arxiv-2503-20122#18 (qmbl-verify 2026-10-23; skeptic upheld)"
        }
      }
    },
    {
      "energy": -215.41248,
      "sigma": null,
      "energy_variance": null,
      "dof": 144,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "Gutzwiller-projected partons, Table VI case (xii): splitting Néel, no large t2",
      "method_as_published": "Gutzwiller-projected parton state, case (xii) splitting Néel, no large t2",
      "family": "classic VMC",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Chen & Liu, Deconfined gapless phases and criticalities in the Shastry-Sutherland antiferromagnet, Phys. Rev. B 113, 224440 (2026), doi:10.1103/hvlq-d179, arXiv:2503.20122",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2503.20122 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": "-0.37398",
        "note": "Table VI, case (xii); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2503.20122v2 (submitted 2026-03-12, PDF dated March 16, 2026), PDF via pypdf layout mode and arXiv HTML v2; arXiv v1 (2025-03-26) has no Table VI energies; Phys. Rev. B 113, 224440 (2026) full text not reached (APS returned 401 / 'Authorization Required' from this session); APS page: Received 22 December 2025, Revised 12 March 2026, Accepted 2 June 2026, Published 23 June 2026",
          "location": "Table VI, row (xii) ('(xii) splitting Néel, no large t2'), column E; caption 'Energy and variational mean-field parameters for different cases (12×12 sites by default) with J1/J2 = 0.7, Jr = 0.'",
          "reported_as": "-0.37398 (Table VI column E; unit not printed, per site in units of J2)",
          "conversion": "-0.37398 * 4 * 144 = -215.412480 (S.S per site in units of J2 -> Pauli total)",
          "note": "Value confirmed: Table VI row '(xii) splitting Néel, no large t2' prints E = -0.37398; -0.37398 * 4 * 144 = -215.412480 (S.S per site in units of J2 -> Pauli total) equals stored -215.41248. Lattice 12 x 12 (caption: 12x12 sites by default), torus (fermion BCs +/- define 4 topological sectors on a torus), J1/J2 = 0.7, Jr = 0 (caption), J1 on square bonds, J2 on the dimer diagonals = QMBL J = 0.7, Jd = 1; no constant shift; no error bar printed; bound_type variational agrees. Published as Phys. Rev. B 113, 224440 (2026) (Crossref and the APS abstract page, read 2026-10-24); the journal full text was not reached.",
          "source_entry": "famP5-arxiv-2503-20122#20 (qmbl-verify 2026-10-23; skeptic upheld)"
        }
      }
    },
    {
      "energy": -215.37792,
      "sigma": null,
      "energy_variance": null,
      "dof": 144,
      "einf": 0,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "Gutzwiller-projected partons, Table VI case (xiii): splitting Néel, no Néel order",
      "method_as_published": "Gutzwiller-projected parton state, case (xiii) splitting Néel, no Néel order",
      "family": "classic VMC",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Chen & Liu, Deconfined gapless phases and criticalities in the Shastry-Sutherland antiferromagnet, Phys. Rev. B 113, 224440 (2026), doi:10.1103/hvlq-d179, arXiv:2503.20122",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-20",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-20",
        "method": "source text of arXiv:2503.20122 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": "-0.37392",
        "note": "Table VI, case (xiii); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "arXiv:2503.20122v2 (submitted 2026-03-12, PDF dated March 16, 2026), PDF via pypdf layout mode and arXiv HTML v2; arXiv v1 (2025-03-26) has no Table VI energies; Phys. Rev. B 113, 224440 (2026) full text not reached (APS returned 401 / 'Authorization Required' from this session); APS page: Received 22 December 2025, Revised 12 March 2026, Accepted 2 June 2026, Published 23 June 2026",
          "location": "Table VI, row (xiii) ('(xiii) splitting Néel, no Néel order'), column E; caption 'Energy and variational mean-field parameters for different cases (12×12 sites by default) with J1/J2 = 0.7, Jr = 0.'",
          "reported_as": "-0.37392 (Table VI column E; unit not printed, per site in units of J2)",
          "conversion": "-0.37392 * 4 * 144 = -215.377920 (S.S per site in units of J2 -> Pauli total)",
          "note": "Value confirmed: Table VI row '(xiii) splitting Néel, no Néel order' prints E = -0.37392; -0.37392 * 4 * 144 = -215.377920 (S.S per site in units of J2 -> Pauli total) equals stored -215.37792. Lattice 12 x 12 (caption: 12x12 sites by default), torus (fermion BCs +/- define 4 topological sectors on a torus), J1/J2 = 0.7, Jr = 0 (caption), J1 on square bonds, J2 on the dimer diagonals = QMBL J = 0.7, Jd = 1; no constant shift; no error bar printed; bound_type variational agrees. Published as Phys. Rev. B 113, 224440 (2026) (Crossref and the APS abstract page, read 2026-10-24); the journal full text was not reached.",
          "source_entry": "famP5-arxiv-2503-20122#22 (qmbl-verify 2026-10-23; skeptic upheld)"
        }
      }
    }
  ],
  "url": "https://qmbl.org/i/ShastrySutherland/square_144_P_J0.7_Jd1/",
  "per_site_divisor": 576,
  "per_site_label": "E/N (S.S)",
  "best": {
    "exact": null,
    "variational": {
      "energy": -216.73152,
      "sigma": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "Gutzwiller-projected partons, Table VI case (i): EP state",
      "reference": "Chen & Liu, Deconfined gapless phases and criticalities in the Shastry-Sutherland antiferromagnet, Phys. Rev. B 113, 224440 (2026), doi:10.1103/hvlq-d179, arXiv:2503.20122",
      "bound_type": "variational",
      "energy_per_site": -0.37627
    },
    "projected": null,
    "extrapolated": null,
    "approximate": null,
    "below_exact": []
  },
  "no_best_reason": null,
  "record": {
    "energy": -216.73152,
    "sigma": null,
    "method": "VMC",
    "ansatz": "Gutzwiller",
    "method_detail": "Gutzwiller-projected partons, Table VI case (i): EP state",
    "reference": "Chen & Liu, Deconfined gapless phases and criticalities in the Shastry-Sutherland antiferromagnet, Phys. Rev. B 113, 224440 (2026), doi:10.1103/hvlq-d179, arXiv:2503.20122",
    "bound_type": "variational",
    "energy_per_site": -0.37627
  },
  "no_record_reason": null
}