{
  "model": "tJ",
  "lattice": "square",
  "n_sites": 18,
  "boundary": "P",
  "params": {
    "t": 1,
    "J": 0.4,
    "N_up": 8,
    "N_dn": 8,
    "nn_term": true
  },
  "cluster": "square-shaped periodic cluster of 18 sites, edge vectors (3, 3) and (3, -3) (RULES.md 2.1); the periodic boundaries are fixed by QMBL's diagonalization, which reproduces the source's exact energy (checks/tj-ed-2026-10/)",
  "instance_id": "tJ/square_18_P_h2_J0.4",
  "rows": [
    {
      "energy": -11.7738,
      "sigma": 0.0018,
      "energy_variance": null,
      "dof": 16,
      "einf": null,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "projected BCS + Jastrow, Δ_BCS = 0.20, 1 Lanczos step (statistical, FLST)",
      "method_as_published": "FLST, p = 1, Δ_BCS = 0.20",
      "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": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
      "peer_reviewed": false,
      "venue_type": "proceedings",
      "source": "sweep-allresults-2026-10-22",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-22",
        "method": "source text of arXiv:cond-mat/0006353 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 (2026-10-22)",
        "reported_as": "-0.6541(1)",
        "note": "Table 1.1, L = 18, N = 16, J = 0.4, p = 1, column FLST (line 236); version read: arXiv text (sources/cond-mat-0006353.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eq. (1.1): H = J sum (S_i.S_j - n_i n_j / 4) - t sum c~+c~, t = 1; Tables 1.1 and 1.2 print E0/L, L = 18, N = 16, J = 0.4. QMBL's diagonalization of the periodic 18-site cluster gives -0.6590431107 per site, the printed exact -0.65904.",
        "secondary_of": null,
        "journal_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "journal version (Springer/Kluwer 2001, NATO Science Series II vol. 15, pp. 173-185, publisher PDF via ETH access, pypdf layout mode on the publisher's OCR text layer: sources/tj18-dl/springer-978-94-010-0771-9_18.pdf) and arXiv:cond-mat/0006353v1 (only version; pypdf layout mode, sources/tj18-dl/layout.txt)",
          "location": "arXiv Table 1.1 = journal Table 1, row N = 16, Delta_BCS = 0.20, p = 1, column E0/L (FLST)",
          "reported_as": "-0.6541(1) per site (E0/L, units of t)",
          "conversion": "-0.6541 x 18 = -11.7738; sigma 0.0001 x 18 = 0.0018",
          "note": "Instance agrees with the source: Eq. (1.1) H = J sum (S_i.S_j - n_i n_j/4) - t sum c~+c~ with t = 1 (the VarBench-style t-J form with the -n n/4 term, nn_term true; sign of t immaterial on the bipartite (3,3)x(3,-3) cluster), J = 0.4, L = 18, N = 16 electrons = 2 holes, S_z = 0 (N_up = N_dn = 8); E0/L per site in units of t, total = 18 x E0/L. The chapter prints 'Pauli matrices' for the spin operator without the 1/2; the spin-1/2 reading is fixed by QMBL's diagonalisation (checks/tj-ed-2026-10/results.jsonl, tilted18_h2_J0.4: -0.6590431107 per site) reproducing the printed exact -0.65904. Cluster shape and boundary are not printed ('the small 18-site cluster'); the square-shaped periodic (3,3),(3,-3) cluster (the only square-shaped 18-site cluster) is inferred from that agreement (accepted practice, prior findings 2026-10-03). arXiv v1 and journal print identical digits in both tables. FLST = statistical sampling of the p-Lanczos-step state of Eq. (1.2) (stochastic reconfiguration), variational; error bar '(1)' in the last digit, meaning not stated. Table 1.1's exact value for the same state (-0.65420, row 1) lies within 1 sigma. sampled (fallback true) is right. No variance printed for FLST rows. peer_reviewed: see the ambiguous entry on 'exact (p = infinity)'. Not a duplicate: the instance holds only this chapter's 13 rows.",
          "source_entry": "tjP4-10-1007-978-94-010-0771-9-18#0 (qmbl-verify 2026-10-23)"
        }
      }
    },
    {
      "energy": -11.7756,
      "sigma": null,
      "energy_variance": null,
      "dof": 16,
      "einf": null,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "projected BCS + Jastrow, Δ_BCS = 0.20, 1 Lanczos step (applied exactly)",
      "method_as_published": "exact p-LS, p = 1, Δ_BCS = 0.20",
      "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": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
      "peer_reviewed": false,
      "venue_type": "proceedings",
      "source": "sweep-allresults-2026-10-22",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-22",
        "method": "source text of arXiv:cond-mat/0006353 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 (2026-10-22)",
        "reported_as": "-0.65420",
        "note": "Table 1.1, L = 18, N = 16, J = 0.4, p = 1, column Exact (line 236); version read: arXiv text (sources/cond-mat-0006353.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eq. (1.1): H = J sum (S_i.S_j - n_i n_j / 4) - t sum c~+c~, t = 1; Tables 1.1 and 1.2 print E0/L, L = 18, N = 16, J = 0.4. QMBL's diagonalization of the periodic 18-site cluster gives -0.6590431107 per site, the printed exact -0.65904.",
        "secondary_of": null
      },
      "corrections": [
        {
          "field": "sampled",
          "to": false,
          "reported_as": "Table 1.1 caption: 'obtained with the exact and the statistical (FLST) application of p Lanczos steps'",
          "location": "arXiv Table 1.1 = journal Table 1, row N = 16, Delta_BCS = 0.20, p = 1, column E0/L (Exact) (exact application of p Lanczos steps)",
          "version_read": "journal version (Springer/Kluwer 2001, NATO Science Series II vol. 15, pp. 173-185, publisher PDF via ETH access, pypdf layout mode on the publisher's OCR text layer: sources/tj18-dl/springer-978-94-010-0771-9_18.pdf) and arXiv:cond-mat/0006353v1 (only version; pypdf layout mode, sources/tj18-dl/layout.txt)",
          "conversion": "none",
          "checked_on": "2026-10-24",
          "reason": "Deterministic: the energy of p Lanczos steps applied exactly, or of the exact ground state, carries no statistical error, and the method string matches none of isSampled's deterministic markers, so the row would read as a sampled energy without an error bar. The generator's reading already states sampled: false; the loader does not carry the field, so it is stated here (ruled 2026-10-24).",
          "source_entry": "tjP4-10-1007-978-94-010-0771-9-18#1 (qmbl-verify 2026-10-23); ruled 2026-10-24",
          "from": true
        }
      ],
      "sampled": false
    },
    {
      "energy": -11.8494,
      "sigma": 0.0018,
      "energy_variance": null,
      "dof": 16,
      "einf": null,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "projected BCS + Jastrow, Δ_BCS = 0.55, 2 Lanczos steps (statistical, FLST)",
      "method_as_published": "FLST, p = 2, Δ_BCS = 0.55",
      "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": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
      "peer_reviewed": false,
      "venue_type": "proceedings",
      "source": "sweep-allresults-2026-10-22",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-22",
        "method": "source text of arXiv:cond-mat/0006353 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 (2026-10-22)",
        "reported_as": "-0.6583(1)",
        "note": "Table 1.1, L = 18, N = 16, J = 0.4, p = 2, column FLST (line 237); version read: arXiv text (sources/cond-mat-0006353.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eq. (1.1): H = J sum (S_i.S_j - n_i n_j / 4) - t sum c~+c~, t = 1; Tables 1.1 and 1.2 print E0/L, L = 18, N = 16, J = 0.4. QMBL's diagonalization of the periodic 18-site cluster gives -0.6590431107 per site, the printed exact -0.65904.",
        "secondary_of": null,
        "journal_read": {
          "checked_on": "2026-10-24",
          "scope": "value",
          "method": "journal version (Springer/Kluwer 2001, NATO Science Series II vol. 15, pp. 173-185, publisher PDF via ETH access, pypdf layout mode on the publisher's OCR text layer: sources/tj18-dl/springer-978-94-010-0771-9_18.pdf) and arXiv:cond-mat/0006353v1 (only version; pypdf layout mode, sources/tj18-dl/layout.txt)",
          "location": "arXiv Table 1.1 = journal Table 1, row N = 16, Delta_BCS = 0.55, p = 2, column E0/L (FLST)",
          "reported_as": "-0.6583(1) per site",
          "conversion": "-0.6583 x 18 = -11.8494; sigma 0.0001 x 18 = 0.0018",
          "note": "Instance agrees with the source: Eq. (1.1) H = J sum (S_i.S_j - n_i n_j/4) - t sum c~+c~ with t = 1 (the VarBench-style t-J form with the -n n/4 term, nn_term true; sign of t immaterial on the bipartite (3,3)x(3,-3) cluster), J = 0.4, L = 18, N = 16 electrons = 2 holes, S_z = 0 (N_up = N_dn = 8); E0/L per site in units of t, total = 18 x E0/L. The chapter prints 'Pauli matrices' for the spin operator without the 1/2; the spin-1/2 reading is fixed by QMBL's diagonalisation (checks/tj-ed-2026-10/results.jsonl, tilted18_h2_J0.4: -0.6590431107 per site) reproducing the printed exact -0.65904. Cluster shape and boundary are not printed ('the small 18-site cluster'); the square-shaped periodic (3,3),(3,-3) cluster (the only square-shaped 18-site cluster) is inferred from that agreement (accepted practice, prior findings 2026-10-03). arXiv v1 and journal print identical digits in both tables. FLST = statistical sampling of the p-Lanczos-step state of Eq. (1.2) (stochastic reconfiguration), variational; error bar '(1)' in the last digit, meaning not stated. Table 1.1's exact value for the same state (-0.65826, row 6) lies within 1 sigma. sampled (fallback true) is right. No variance printed for FLST rows. peer_reviewed: see the ambiguous entry on 'exact (p = infinity)'. Not a duplicate: the instance holds only this chapter's 13 rows.",
          "source_entry": "tjP4-10-1007-978-94-010-0771-9-18#2 (qmbl-verify 2026-10-23)"
        }
      }
    },
    {
      "energy": -11.49246,
      "sigma": null,
      "energy_variance": 1.174,
      "dof": 16,
      "einf": null,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "projected BCS + Jastrow, Δ_BCS = 0.00 (applied exactly)",
      "method_as_published": "p-LS, p = 0, Δ_BCS = 0.00",
      "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": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
      "peer_reviewed": false,
      "venue_type": "proceedings",
      "source": "sweep-allresults-2026-10-22",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-22",
        "method": "source text of arXiv:cond-mat/0006353 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 (2026-10-22)",
        "reported_as": "-0.63847",
        "note": "Table 1.2, L = 18, N = 16, J = 0.4, Δ_BCS = 0.00, p = 0 (line 290); variance: column ΔE_p x L^2 = 1.174 of the same row, the variance of the total H in units of t^2 (ΔE_p = (⟨H^2⟩ - ⟨H⟩^2)/L^2, line 222); version read: arXiv text (sources/cond-mat-0006353.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eq. (1.1): H = J sum (S_i.S_j - n_i n_j / 4) - t sum c~+c~, t = 1; Tables 1.1 and 1.2 print E0/L, L = 18, N = 16, J = 0.4. QMBL's diagonalization of the periodic 18-site cluster gives -0.6590431107 per site, the printed exact -0.65904.",
        "secondary_of": null
      },
      "corrections": [
        {
          "field": "sampled",
          "to": false,
          "reported_as": "Table 1.2 caption: 'obtained applying exactly p Lanczos steps on the variational wavefunction of Eq. (1.3)'",
          "location": "arXiv Table 1.2 = journal Table 2, row N = 16, Delta_BCS = 0.00, p = 0",
          "version_read": "journal version (Springer/Kluwer 2001, NATO Science Series II vol. 15, pp. 173-185, publisher PDF via ETH access, pypdf layout mode on the publisher's OCR text layer: sources/tj18-dl/springer-978-94-010-0771-9_18.pdf) and arXiv:cond-mat/0006353v1 (only version; pypdf layout mode, sources/tj18-dl/layout.txt)",
          "conversion": "none",
          "checked_on": "2026-10-24",
          "reason": "Deterministic: the energy of p Lanczos steps applied exactly, or of the exact ground state, carries no statistical error, and the method string matches none of isSampled's deterministic markers, so the row would read as a sampled energy without an error bar. The generator's reading already states sampled: false; the loader does not carry the field, so it is stated here (ruled 2026-10-24).",
          "source_entry": "tjP4-10-1007-978-94-010-0771-9-18#4 (qmbl-verify 2026-10-23); ruled 2026-10-24",
          "from": true
        }
      ],
      "sampled": false
    },
    {
      "energy": -11.62062,
      "sigma": null,
      "energy_variance": 0.94,
      "dof": 16,
      "einf": null,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "projected BCS + Jastrow, Δ_BCS = 0.55 (applied exactly)",
      "method_as_published": "p-LS, p = 0, Δ_BCS = 0.55",
      "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": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
      "peer_reviewed": false,
      "venue_type": "proceedings",
      "source": "sweep-allresults-2026-10-22",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-22",
        "method": "source text of arXiv:cond-mat/0006353 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 (2026-10-22)",
        "reported_as": "-0.64559",
        "note": "Table 1.2, L = 18, N = 16, J = 0.4, Δ_BCS = 0.55, p = 0 (line 297); variance: column ΔE_p x L^2 = 0.940 of the same row, the variance of the total H in units of t^2 (ΔE_p = (⟨H^2⟩ - ⟨H⟩^2)/L^2, line 222); version read: arXiv text (sources/cond-mat-0006353.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eq. (1.1): H = J sum (S_i.S_j - n_i n_j / 4) - t sum c~+c~, t = 1; Tables 1.1 and 1.2 print E0/L, L = 18, N = 16, J = 0.4. QMBL's diagonalization of the periodic 18-site cluster gives -0.6590431107 per site, the printed exact -0.65904.",
        "secondary_of": null
      },
      "corrections": [
        {
          "field": "sampled",
          "to": false,
          "reported_as": "Table 1.2 caption: 'obtained applying exactly p Lanczos steps on the variational wavefunction of Eq. (1.3)'",
          "location": "arXiv Table 1.2 = journal Table 2, row N = 16, Delta_BCS = 0.55, p = 0",
          "version_read": "journal version (Springer/Kluwer 2001, NATO Science Series II vol. 15, pp. 173-185, publisher PDF via ETH access, pypdf layout mode on the publisher's OCR text layer: sources/tj18-dl/springer-978-94-010-0771-9_18.pdf) and arXiv:cond-mat/0006353v1 (only version; pypdf layout mode, sources/tj18-dl/layout.txt)",
          "conversion": "none",
          "checked_on": "2026-10-24",
          "reason": "Deterministic: the energy of p Lanczos steps applied exactly, or of the exact ground state, carries no statistical error, and the method string matches none of isSampled's deterministic markers, so the row would read as a sampled energy without an error bar. The generator's reading already states sampled: false; the loader does not carry the field, so it is stated here (ruled 2026-10-24).",
          "source_entry": "tjP4-10-1007-978-94-010-0771-9-18#6 (qmbl-verify 2026-10-23); ruled 2026-10-24",
          "from": true
        }
      ],
      "sampled": false
    },
    {
      "energy": -11.81484,
      "sigma": null,
      "energy_variance": 0.191,
      "dof": 16,
      "einf": null,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "projected BCS + Jastrow, Δ_BCS = 0.55, 1 Lanczos step (applied exactly)",
      "method_as_published": "p-LS, p = 1, Δ_BCS = 0.55",
      "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": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
      "peer_reviewed": false,
      "venue_type": "proceedings",
      "source": "sweep-allresults-2026-10-22",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-22",
        "method": "source text of arXiv:cond-mat/0006353 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 (2026-10-22)",
        "reported_as": "-0.65638",
        "note": "Table 1.2, L = 18, N = 16, J = 0.4, Δ_BCS = 0.55, p = 1 (line 298); variance: column ΔE_p x L^2 = 0.191 of the same row, the variance of the total H in units of t^2 (ΔE_p = (⟨H^2⟩ - ⟨H⟩^2)/L^2, line 222); version read: arXiv text (sources/cond-mat-0006353.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eq. (1.1): H = J sum (S_i.S_j - n_i n_j / 4) - t sum c~+c~, t = 1; Tables 1.1 and 1.2 print E0/L, L = 18, N = 16, J = 0.4. QMBL's diagonalization of the periodic 18-site cluster gives -0.6590431107 per site, the printed exact -0.65904.",
        "secondary_of": null
      },
      "corrections": [
        {
          "field": "sampled",
          "to": false,
          "reported_as": "Table 1.2 caption: 'obtained applying exactly p Lanczos steps on the variational wavefunction of Eq. (1.3)'",
          "location": "arXiv Table 1.2 = journal Table 2, row N = 16, Delta_BCS = 0.55, p = 1",
          "version_read": "journal version (Springer/Kluwer 2001, NATO Science Series II vol. 15, pp. 173-185, publisher PDF via ETH access, pypdf layout mode on the publisher's OCR text layer: sources/tj18-dl/springer-978-94-010-0771-9_18.pdf) and arXiv:cond-mat/0006353v1 (only version; pypdf layout mode, sources/tj18-dl/layout.txt)",
          "conversion": "none",
          "checked_on": "2026-10-24",
          "reason": "Deterministic: the energy of p Lanczos steps applied exactly, or of the exact ground state, carries no statistical error, and the method string matches none of isSampled's deterministic markers, so the row would read as a sampled energy without an error bar. The generator's reading already states sampled: false; the loader does not carry the field, so it is stated here (ruled 2026-10-24).",
          "source_entry": "tjP4-10-1007-978-94-010-0771-9-18#8 (qmbl-verify 2026-10-23); ruled 2026-10-24",
          "from": true
        }
      ],
      "sampled": false
    },
    {
      "energy": -11.84868,
      "sigma": null,
      "energy_variance": 0.06,
      "dof": 16,
      "einf": null,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "projected BCS + Jastrow, Δ_BCS = 0.55, 2 Lanczos steps (applied exactly)",
      "method_as_published": "p-LS, p = 2, Δ_BCS = 0.55",
      "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": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
      "peer_reviewed": false,
      "venue_type": "proceedings",
      "source": "sweep-allresults-2026-10-22",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-22",
        "method": "source text of arXiv:cond-mat/0006353 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 (2026-10-22)",
        "reported_as": "-0.65826",
        "note": "Table 1.2, L = 18, N = 16, J = 0.4, Δ_BCS = 0.55, p = 2 (line 299); variance: column ΔE_p x L^2 = 0.060 of the same row, the variance of the total H in units of t^2 (ΔE_p = (⟨H^2⟩ - ⟨H⟩^2)/L^2, line 222); version read: arXiv text (sources/cond-mat-0006353.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eq. (1.1): H = J sum (S_i.S_j - n_i n_j / 4) - t sum c~+c~, t = 1; Tables 1.1 and 1.2 print E0/L, L = 18, N = 16, J = 0.4. QMBL's diagonalization of the periodic 18-site cluster gives -0.6590431107 per site, the printed exact -0.65904.",
        "secondary_of": null
      },
      "corrections": [
        {
          "field": "sampled",
          "to": false,
          "reported_as": "Table 1.2 caption: 'obtained applying exactly p Lanczos steps on the variational wavefunction of Eq. (1.3)'",
          "location": "arXiv Table 1.2 = journal Table 2, row N = 16, Delta_BCS = 0.55, p = 2 (also Table 1.1 / Table 1, p = 2, column Exact: -0.65826)",
          "version_read": "journal version (Springer/Kluwer 2001, NATO Science Series II vol. 15, pp. 173-185, publisher PDF via ETH access, pypdf layout mode on the publisher's OCR text layer: sources/tj18-dl/springer-978-94-010-0771-9_18.pdf) and arXiv:cond-mat/0006353v1 (only version; pypdf layout mode, sources/tj18-dl/layout.txt)",
          "conversion": "none",
          "checked_on": "2026-10-24",
          "reason": "Deterministic: the energy of p Lanczos steps applied exactly, or of the exact ground state, carries no statistical error, and the method string matches none of isSampled's deterministic markers, so the row would read as a sampled energy without an error bar. The generator's reading already states sampled: false; the loader does not carry the field, so it is stated here (ruled 2026-10-24).",
          "source_entry": "tjP4-10-1007-978-94-010-0771-9-18#10 (qmbl-verify 2026-10-23); ruled 2026-10-24",
          "from": true
        }
      ],
      "sampled": false
    },
    {
      "energy": -11.85876,
      "sigma": null,
      "energy_variance": 0.018,
      "dof": 16,
      "einf": null,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "projected BCS + Jastrow, Δ_BCS = 0.55, 3 Lanczos steps (applied exactly)",
      "method_as_published": "p-LS, p = 3, Δ_BCS = 0.55",
      "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": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
      "peer_reviewed": false,
      "venue_type": "proceedings",
      "source": "sweep-allresults-2026-10-22",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-22",
        "method": "source text of arXiv:cond-mat/0006353 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 (2026-10-22)",
        "reported_as": "-0.65882",
        "note": "Table 1.2, L = 18, N = 16, J = 0.4, Δ_BCS = 0.55, p = 3 (line 300); variance: column ΔE_p x L^2 = 0.018 of the same row, the variance of the total H in units of t^2 (ΔE_p = (⟨H^2⟩ - ⟨H⟩^2)/L^2, line 222); version read: arXiv text (sources/cond-mat-0006353.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eq. (1.1): H = J sum (S_i.S_j - n_i n_j / 4) - t sum c~+c~, t = 1; Tables 1.1 and 1.2 print E0/L, L = 18, N = 16, J = 0.4. QMBL's diagonalization of the periodic 18-site cluster gives -0.6590431107 per site, the printed exact -0.65904.",
        "secondary_of": null
      },
      "corrections": [
        {
          "field": "sampled",
          "to": false,
          "reported_as": "Table 1.2 caption: 'obtained applying exactly p Lanczos steps on the variational wavefunction of Eq. (1.3)'",
          "location": "arXiv Table 1.2 = journal Table 2, row N = 16, Delta_BCS = 0.55, p = 3",
          "version_read": "journal version (Springer/Kluwer 2001, NATO Science Series II vol. 15, pp. 173-185, publisher PDF via ETH access, pypdf layout mode on the publisher's OCR text layer: sources/tj18-dl/springer-978-94-010-0771-9_18.pdf) and arXiv:cond-mat/0006353v1 (only version; pypdf layout mode, sources/tj18-dl/layout.txt)",
          "conversion": "none",
          "checked_on": "2026-10-24",
          "reason": "Deterministic: the energy of p Lanczos steps applied exactly, or of the exact ground state, carries no statistical error, and the method string matches none of isSampled's deterministic markers, so the row would read as a sampled energy without an error bar. The generator's reading already states sampled: false; the loader does not carry the field, so it is stated here (ruled 2026-10-24).",
          "source_entry": "tjP4-10-1007-978-94-010-0771-9-18#12 (qmbl-verify 2026-10-23); ruled 2026-10-24",
          "from": true
        }
      ],
      "sampled": false
    },
    {
      "energy": -11.86164,
      "sigma": null,
      "energy_variance": 0.005,
      "dof": 16,
      "einf": null,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "projected BCS + Jastrow, Δ_BCS = 0.55, 4 Lanczos steps (applied exactly)",
      "method_as_published": "p-LS, p = 4, Δ_BCS = 0.55",
      "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": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
      "peer_reviewed": false,
      "venue_type": "proceedings",
      "source": "sweep-allresults-2026-10-22",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-22",
        "method": "source text of arXiv:cond-mat/0006353 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 (2026-10-22)",
        "reported_as": "-0.65898",
        "note": "Table 1.2, L = 18, N = 16, J = 0.4, Δ_BCS = 0.55, p = 4 (line 301); variance: column ΔE_p x L^2 = 0.005 of the same row, the variance of the total H in units of t^2 (ΔE_p = (⟨H^2⟩ - ⟨H⟩^2)/L^2, line 222); version read: arXiv text (sources/cond-mat-0006353.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eq. (1.1): H = J sum (S_i.S_j - n_i n_j / 4) - t sum c~+c~, t = 1; Tables 1.1 and 1.2 print E0/L, L = 18, N = 16, J = 0.4. QMBL's diagonalization of the periodic 18-site cluster gives -0.6590431107 per site, the printed exact -0.65904.",
        "secondary_of": null
      },
      "corrections": [
        {
          "field": "sampled",
          "to": false,
          "reported_as": "Table 1.2 caption: 'obtained applying exactly p Lanczos steps on the variational wavefunction of Eq. (1.3)'",
          "location": "arXiv Table 1.2 = journal Table 2, row N = 16, Delta_BCS = 0.55, p = 4",
          "version_read": "journal version (Springer/Kluwer 2001, NATO Science Series II vol. 15, pp. 173-185, publisher PDF via ETH access, pypdf layout mode on the publisher's OCR text layer: sources/tj18-dl/springer-978-94-010-0771-9_18.pdf) and arXiv:cond-mat/0006353v1 (only version; pypdf layout mode, sources/tj18-dl/layout.txt)",
          "conversion": "none",
          "checked_on": "2026-10-24",
          "reason": "Deterministic: the energy of p Lanczos steps applied exactly, or of the exact ground state, carries no statistical error, and the method string matches none of isSampled's deterministic markers, so the row would read as a sampled energy without an error bar. The generator's reading already states sampled: false; the loader does not carry the field, so it is stated here (ruled 2026-10-24).",
          "source_entry": "tjP4-10-1007-978-94-010-0771-9-18#14 (qmbl-verify 2026-10-23); ruled 2026-10-24",
          "from": true
        }
      ],
      "sampled": false
    },
    {
      "energy": -11.86236,
      "sigma": null,
      "energy_variance": 0.002,
      "dof": 16,
      "einf": null,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "projected BCS + Jastrow, Δ_BCS = 0.55, 5 Lanczos steps (applied exactly)",
      "method_as_published": "p-LS, p = 5, Δ_BCS = 0.55",
      "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": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
      "peer_reviewed": false,
      "venue_type": "proceedings",
      "source": "sweep-allresults-2026-10-22",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-22",
        "method": "source text of arXiv:cond-mat/0006353 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 (2026-10-22)",
        "reported_as": "-0.65902",
        "note": "Table 1.2, L = 18, N = 16, J = 0.4, Δ_BCS = 0.55, p = 5 (line 302); variance: column ΔE_p x L^2 = 0.002 of the same row, the variance of the total H in units of t^2 (ΔE_p = (⟨H^2⟩ - ⟨H⟩^2)/L^2, line 222); version read: arXiv text (sources/cond-mat-0006353.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eq. (1.1): H = J sum (S_i.S_j - n_i n_j / 4) - t sum c~+c~, t = 1; Tables 1.1 and 1.2 print E0/L, L = 18, N = 16, J = 0.4. QMBL's diagonalization of the periodic 18-site cluster gives -0.6590431107 per site, the printed exact -0.65904.",
        "secondary_of": null
      },
      "corrections": [
        {
          "field": "sampled",
          "to": false,
          "reported_as": "Table 1.2 caption: 'obtained applying exactly p Lanczos steps on the variational wavefunction of Eq. (1.3)'",
          "location": "arXiv Table 1.2 = journal Table 2, row N = 16, Delta_BCS = 0.55, p = 5",
          "version_read": "journal version (Springer/Kluwer 2001, NATO Science Series II vol. 15, pp. 173-185, publisher PDF via ETH access, pypdf layout mode on the publisher's OCR text layer: sources/tj18-dl/springer-978-94-010-0771-9_18.pdf) and arXiv:cond-mat/0006353v1 (only version; pypdf layout mode, sources/tj18-dl/layout.txt)",
          "conversion": "none",
          "checked_on": "2026-10-24",
          "reason": "Deterministic: the energy of p Lanczos steps applied exactly, or of the exact ground state, carries no statistical error, and the method string matches none of isSampled's deterministic markers, so the row would read as a sampled energy without an error bar. The generator's reading already states sampled: false; the loader does not carry the field, so it is stated here (ruled 2026-10-24).",
          "source_entry": "tjP4-10-1007-978-94-010-0771-9-18#16 (qmbl-verify 2026-10-23); ruled 2026-10-24",
          "from": true
        }
      ],
      "sampled": false
    },
    {
      "energy": -11.86272,
      "sigma": null,
      "energy_variance": 0.0005,
      "dof": 16,
      "einf": null,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "projected BCS + Jastrow, Δ_BCS = 0.55, 6 Lanczos steps (applied exactly)",
      "method_as_published": "p-LS, p = 6, Δ_BCS = 0.55",
      "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": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
      "peer_reviewed": false,
      "venue_type": "proceedings",
      "source": "sweep-allresults-2026-10-22",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-22",
        "method": "source text of arXiv:cond-mat/0006353 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 (2026-10-22)",
        "reported_as": "-0.65904",
        "note": "Table 1.2, L = 18, N = 16, J = 0.4, Δ_BCS = 0.55, p = 6 (line 303); variance: column ΔE_p x L^2 = 0.0005 of the same row, the variance of the total H in units of t^2 (ΔE_p = (⟨H^2⟩ - ⟨H⟩^2)/L^2, line 222); version read: arXiv text (sources/cond-mat-0006353.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eq. (1.1): H = J sum (S_i.S_j - n_i n_j / 4) - t sum c~+c~, t = 1; Tables 1.1 and 1.2 print E0/L, L = 18, N = 16, J = 0.4. QMBL's diagonalization of the periodic 18-site cluster gives -0.6590431107 per site, the printed exact -0.65904.",
        "secondary_of": null
      },
      "corrections": [
        {
          "field": "sampled",
          "to": false,
          "reported_as": "Table 1.2 caption: 'obtained applying exactly p Lanczos steps on the variational wavefunction of Eq. (1.3)'",
          "location": "arXiv Table 1.2 = journal Table 2, row N = 16, Delta_BCS = 0.55, p = 6",
          "version_read": "journal version (Springer/Kluwer 2001, NATO Science Series II vol. 15, pp. 173-185, publisher PDF via ETH access, pypdf layout mode on the publisher's OCR text layer: sources/tj18-dl/springer-978-94-010-0771-9_18.pdf) and arXiv:cond-mat/0006353v1 (only version; pypdf layout mode, sources/tj18-dl/layout.txt)",
          "conversion": "none",
          "checked_on": "2026-10-24",
          "reason": "Deterministic: the energy of p Lanczos steps applied exactly, or of the exact ground state, carries no statistical error, and the method string matches none of isSampled's deterministic markers, so the row would read as a sampled energy without an error bar. The generator's reading already states sampled: false; the loader does not carry the field, so it is stated here (ruled 2026-10-24).",
          "source_entry": "tjP4-10-1007-978-94-010-0771-9-18#18 (qmbl-verify 2026-10-23); ruled 2026-10-24",
          "from": true
        }
      ],
      "sampled": false
    },
    {
      "energy": -11.86272,
      "sigma": null,
      "energy_variance": 0.0001,
      "dof": 16,
      "einf": null,
      "v_score": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "projected BCS + Jastrow, Δ_BCS = 0.55, 7 Lanczos steps (applied exactly)",
      "method_as_published": "p-LS, p = 7, Δ_BCS = 0.55",
      "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": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
      "peer_reviewed": false,
      "venue_type": "proceedings",
      "source": "sweep-allresults-2026-10-22",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-22",
        "method": "source text of arXiv:cond-mat/0006353 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 (2026-10-22)",
        "reported_as": "-0.65904",
        "note": "Table 1.2, L = 18, N = 16, J = 0.4, Δ_BCS = 0.55, p = 7 (line 304); variance: column ΔE_p x L^2 = 0.0001 of the same row, the variance of the total H in units of t^2 (ΔE_p = (⟨H^2⟩ - ⟨H⟩^2)/L^2, line 222); version read: arXiv text (sources/cond-mat-0006353.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eq. (1.1): H = J sum (S_i.S_j - n_i n_j / 4) - t sum c~+c~, t = 1; Tables 1.1 and 1.2 print E0/L, L = 18, N = 16, J = 0.4. QMBL's diagonalization of the periodic 18-site cluster gives -0.6590431107 per site, the printed exact -0.65904.",
        "secondary_of": null
      },
      "corrections": [
        {
          "field": "sampled",
          "to": false,
          "reported_as": "Table 1.2 caption: 'obtained applying exactly p Lanczos steps on the variational wavefunction of Eq. (1.3)'",
          "location": "arXiv Table 1.2 = journal Table 2, row N = 16, Delta_BCS = 0.55, p = 7",
          "version_read": "journal version (Springer/Kluwer 2001, NATO Science Series II vol. 15, pp. 173-185, publisher PDF via ETH access, pypdf layout mode on the publisher's OCR text layer: sources/tj18-dl/springer-978-94-010-0771-9_18.pdf) and arXiv:cond-mat/0006353v1 (only version; pypdf layout mode, sources/tj18-dl/layout.txt)",
          "conversion": "none",
          "checked_on": "2026-10-24",
          "reason": "Deterministic: the energy of p Lanczos steps applied exactly, or of the exact ground state, carries no statistical error, and the method string matches none of isSampled's deterministic markers, so the row would read as a sampled energy without an error bar. The generator's reading already states sampled: false; the loader does not carry the field, so it is stated here (ruled 2026-10-24).",
          "source_entry": "tjP4-10-1007-978-94-010-0771-9-18#20 (qmbl-verify 2026-10-23); ruled 2026-10-24",
          "from": true
        }
      ],
      "sampled": false
    },
    {
      "energy": -11.862775993031,
      "sigma": null,
      "energy_variance": null,
      "dof": 16,
      "einf": null,
      "v_score": null,
      "method": "ED",
      "ansatz": null,
      "method_detail": "Lanczos",
      "method_as_published": "exact (p = ∞)",
      "family": "other",
      "bound_type": "exact",
      "bound_type_reason": "numerically exact reference as stated by the source (assigned during source reading)",
      "reference": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
      "peer_reviewed": false,
      "venue_type": "proceedings",
      "source": "sweep-allresults-2026-10-22",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-22",
        "method": "source text of arXiv:cond-mat/0006353 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 (2026-10-22)",
        "reported_as": "-0.65904",
        "note": "Table 1.2, L = 18, N = 16, J = 0.4, p = ∞ (the exact ground state) (line 305); version read: arXiv text (sources/cond-mat-0006353.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eq. (1.1): H = J sum (S_i.S_j - n_i n_j / 4) - t sum c~+c~, t = 1; Tables 1.1 and 1.2 print E0/L, L = 18, N = 16, J = 0.4. QMBL's diagonalization of the periodic 18-site cluster gives -0.6590431107 per site, the printed exact -0.65904.",
        "secondary_of": null,
        "second_read": {
          "checked_on": "2026-10-23",
          "scope": "value",
          "method": "independent exact diagonalization written for this check (checks/tj-exact-recompute-2026-10/tjk.c: C/OpenMP, basis adapted to lattice translations and point-group operations with 1D characters, Lanczos to |dE| < 1e-13 per step; clusters and sectors from gen.py), run 2026-10-23; validated against a brute-force full-space ED (bf.py) on 12 small clusters (agreement to 1e-10)",
          "location": "Table 1.2, L = 18, N = 16, J = 0.4, p = ∞ (the exact ground state) (line 305)",
          "reported_as": "-0.65904",
          "conversion": "E = -11.8627759930 (t = 1); printed form E0/L, p = infinity: -0.65904 vs printed -0.65904",
          "note": "18-site square-shaped periodic cluster, edge vectors (3, 3) and (-3, 3); full space and all momentum x C4 sectors; full space at this electron number (ground state), best sector sq18P_h2_J0.4_full, dim 1969110; 27 s wall on 16 threads over all sectors; QMBL's earlier ED (checks/tj-ed-2026-10/) gave -11.8627759930, difference -3.1e-11",
          "source_entry": "tjE-exact-recompute#7 (qmbl-verify 2026-10-23)"
        }
      },
      "corrections": [
        {
          "field": "sampled",
          "to": false,
          "reported_as": "Table 1.2: p = infinity, variance 0.0, Z_p = 1.0000 (Lanczos to convergence, exact)",
          "location": "arXiv Table 1.2 = journal Table 2, row N = 16, Delta_BCS = 0.55, p = infinity (OCR of the journal scan reads '00'), Z_p = 1.0000, Delta E_p x L^2 = 0.0",
          "version_read": "journal version (Springer/Kluwer 2001, NATO Science Series II vol. 15, pp. 173-185, publisher PDF via ETH access, pypdf layout mode on the publisher's OCR text layer: sources/tj18-dl/springer-978-94-010-0771-9_18.pdf) and arXiv:cond-mat/0006353v1 (only version; pypdf layout mode, sources/tj18-dl/layout.txt)",
          "conversion": "none",
          "checked_on": "2026-10-24",
          "reason": "Deterministic: the energy of p Lanczos steps applied exactly, or of the exact ground state, carries no statistical error, and the method string matches none of isSampled's deterministic markers, so the row would read as a sampled energy without an error bar. The generator's reading already states sampled: false; the loader does not carry the field, so it is stated here (ruled 2026-10-24).",
          "source_entry": "tjP4-10-1007-978-94-010-0771-9-18#22 (qmbl-verify 2026-10-23); ruled 2026-10-24",
          "from": true
        },
        {
          "field": "energy",
          "to": -11.862775993031,
          "reported_as": "-0.65904 (E0/L, p = infinity)",
          "location": "Table 1.2, L = 18, N = 16, J = 0.4, p = ∞ (the exact ground state) (line 305)",
          "version_read": "recomputation: checks/tj-exact-recompute-2026-10/ (tjk.c, 2026-10-23); the printed value as the generator read it (scripts/tj_2026_10_22.mjs)",
          "conversion": "-0.65904 x 18 = -11.86272 (stored); recomputed -11.862775993031 = -0.6590431107 in the printed form, which rounds to the printed digits",
          "checked_on": "2026-10-23",
          "reason": "Rule for exact rows QMBL recomputed (2026-09-30; applied to the t-J rows, ruled 2026-10-24): the printed value is QMBL's value rounded to the printed digits, so the row keeps its citation and carries QMBL's digits; the printed value stays here. Recomputed by tjk.c (symmetry-adapted Lanczos, |dE| < 1e-13 per step; the full space at its electron number, lowest sector sq18P_h2_J0.4_full, dimension 1969110), whose code agrees with the brute-force bf.py to 1e-10 on 12 small clusters; codes and outputs in checks/tj-exact-recompute-2026-10/.",
          "source_entry": "tjE-exact-recompute#7 (qmbl-verify 2026-10-23), tjP4-10-1007-978-94-010-0771-9-18#21 (qmbl-verify 2026-10-23); rule for recomputed exact rows, ruled 2026-10-24",
          "from": -11.86272
        }
      ],
      "sampled": false
    }
  ],
  "url": "https://qmbl.org/i/tJ/square_18_P_h2_J0.4/",
  "per_site_divisor": 18,
  "per_site_label": "E/site",
  "best": {
    "exact": {
      "energy": -11.862775993031,
      "sigma": null,
      "method": "ED",
      "ansatz": null,
      "method_detail": "Lanczos",
      "reference": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
      "bound_type": "exact",
      "energy_per_site": -0.6590431107239445
    },
    "variational": {
      "energy": -11.86272,
      "sigma": null,
      "method": "VMC",
      "ansatz": "Gutzwiller",
      "method_detail": "projected BCS + Jastrow, Δ_BCS = 0.55, 6 Lanczos steps (applied exactly)",
      "reference": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
      "bound_type": "variational",
      "energy_per_site": -0.65904
    },
    "projected": null,
    "extrapolated": null,
    "approximate": null,
    "below_exact": []
  },
  "no_best_reason": null,
  "record": {
    "energy": -11.862775993031,
    "sigma": null,
    "method": "ED",
    "ansatz": null,
    "method_detail": "Lanczos",
    "reference": "Becca, Capriotti & Sorella, Stability of d-wave superconductivity in the t-J model, in Open Problems in Strongly Correlated Electron Systems, Proceedings of the NATO Advanced Research Workshop (Bled, 2000), NATO Science Series II vol. 15, pp. 173-185 (Springer, 2001), doi:10.1007/978-94-010-0771-9_18, arXiv:cond-mat/0006353",
    "bound_type": "exact",
    "energy_per_site": -0.6590431107239445
  },
  "no_record_reason": null
}