{
  "model": "Hubbard",
  "lattice": "square",
  "n_sites": 144,
  "boundary": "P",
  "params": {
    "Nf": 63,
    "U": 8,
    "t1": 1,
    "t2": -0.2
  },
  "instance_id": "Hubbard/square_144_P_63_8_t12_-0.2",
  "rows": [
    {
      "energy": -107.172,
      "sigma": 0.00144,
      "energy_variance": null,
      "dof": 126,
      "einf": 220.5,
      "v_score": null,
      "method": "SBP",
      "method_detail": "symmetric: unspecified",
      "method_as_published": "SBP (symmetry-preserving backflow-Pfaffian)",
      "family": "backflow / Pfaffian",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "R. Rende, L. L. Viteritti & A. Georges, Superconductivity in the t-t' Hubbard Model from Symmetry-Preserving Neural-Network Quantum States, arXiv:2608.12465",
      "peer_reviewed": false,
      "source": "sweep-allresults-2026-10-16",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-16",
        "method": "source text of arXiv:2608.12465 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": "-0.74425(1)",
        "note": "TABLE I (Ground-state variational energies and variances per site, PBC, t'=-0.2, U=8, delta=1/8), 12x12 / SBP, Energy column; sources/2608.12465.txt line 294; version read: arXiv v1 (sources/2608.12465.txt); no journal version (Crossref, arXiv abs page) | Eq. (1): H = -t sum_<ij> - t' sum_<<ij>> + U sum n_up n_dn, t' = -0.2, U = 8, doping 1/8, L x L periodic; Table I: energies and variances per site.",
        "secondary_of": null
      }
    }
  ],
  "url": "https://qmbl.org/i/Hubbard/square_144_P_63_8_t12_-0.2/",
  "per_site_divisor": 144,
  "per_site_label": "E/site",
  "record": {
    "energy": -107.172,
    "sigma": 0.00144,
    "method": "SBP",
    "method_detail": "symmetric: unspecified",
    "reference": "R. Rende, L. L. Viteritti & A. Georges, Superconductivity in the t-t' Hubbard Model from Symmetry-Preserving Neural-Network Quantum States, arXiv:2608.12465",
    "bound_type": "variational",
    "energy_per_site": -0.74425
  },
  "no_record_reason": null
}