{
  "model": "HEG3D",
  "lattice": "sc",
  "n_sites": 128,
  "boundary": "P",
  "params": {
    "N_up": 64,
    "N_dn": 64,
    "rs": 110,
    "twist": "Gamma"
  },
  "instance_id": "HEG3D/sc_128_P_64_64_110",
  "rows": [
    {
      "energy": -0.9103488,
      "sigma": 0.0000256,
      "energy_variance": null,
      "dof": 128,
      "einf": null,
      "v_score": null,
      "method": "MP-NQS",
      "method_detail": "Gaussian orbitals on bcc sites",
      "method_as_published": "MP-NQS (Gaussian orbitals on bcc sites)",
      "family": "other NQS",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "G. Pescia, J. Nys, J. Kim, A. Lovato & G. Carleo, Message-passing neural quantum states for the homogeneous electron gas, Phys. Rev. B 110, 035108 (2024), arXiv:2305.07240, doi:10.1103/PhysRevB.110.035108",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-16",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-16",
        "method": "source text of arXiv:2305.07240 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; single reading",
        "reported_as": "−0.0071121(2)",
        "note": "Table III (Appendix G), N=128 unpolarized, rs=110, column MP-NQS (Gauss); sources/2305.07240.txt line 694; printed in Ha per electron; version read: arXiv text, Appendix G Tables I-V; APS copy not read | Ha per electron, simple cubic cell; Eq. 13 gives the Ewald sum and 'const.'. The WAP-net values it quotes equal arXiv:2202.04622's Table III (Madelung included) / 2 to 5e-7, and its own N = 14, rs = 1 energy sits 0.0376 Ha below QMBL's HF energy, as theirs does.",
        "secondary_of": null
      }
    },
    {
      "energy": -0.897218304,
      "sigma": 1.28e-7,
      "energy_variance": null,
      "dof": 128,
      "einf": null,
      "v_score": null,
      "method": "Fixed-node DMC",
      "method_detail": "trial state: Slater-Jastrow",
      "method_as_published": "FN-DMC (Slater-Jastrow trial state)",
      "family": "DMC",
      "bound_type": "projected",
      "bound_type_reason": "projection (GFMC/fixed-node) on a trial state; not a strict variational bound (assigned during source reading)",
      "reference": "G. Pescia, J. Nys, J. Kim, A. Lovato & G. Carleo, Message-passing neural quantum states for the homogeneous electron gas, Phys. Rev. B 110, 035108 (2024), arXiv:2305.07240, doi:10.1103/PhysRevB.110.035108",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-16",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-16",
        "method": "source text of arXiv:2305.07240 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; single reading",
        "reported_as": "−0.007009518(1)",
        "note": "Table III (Appendix G), N=128 unpolarized, rs=110, column FN-DMC; sources/2305.07240.txt line 694; printed in Ha per electron; version read: arXiv text, Appendix G Tables I-V; APS copy not read | Ha per electron, simple cubic cell; Eq. 13 gives the Ewald sum and 'const.'. The WAP-net values it quotes equal arXiv:2202.04622's Table III (Madelung included) / 2 to 5e-7, and its own N = 14, rs = 1 energy sits 0.0376 Ha below QMBL's HF energy, as theirs does.",
        "secondary_of": null
      }
    }
  ],
  "url": "https://qmbl.org/i/HEG3D/sc_128_P_64_64_110/",
  "per_site_divisor": 128,
  "per_site_label": "E/N (Ha)",
  "record": {
    "energy": -0.9103488,
    "sigma": 0.0000256,
    "method": "MP-NQS",
    "method_detail": "Gaussian orbitals on bcc sites",
    "reference": "G. Pescia, J. Nys, J. Kim, A. Lovato & G. Carleo, Message-passing neural quantum states for the homogeneous electron gas, Phys. Rev. B 110, 035108 (2024), arXiv:2305.07240, doi:10.1103/PhysRevB.110.035108",
    "bound_type": "variational",
    "energy_per_site": -0.0071121
  },
  "no_record_reason": null
}