{
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      "reference": "[code](https://github.com/varbench/methods/blob/main/scripts/J1J2/square_36_P_0.7/ed_lattice_symmetries.sh)",
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      "reference": "[code](https://github.com/varbench/methods/blob/main/scripts/J1J2/square_36_P_0.7/dmrg.sh)",
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      "reference": "[code](https://github.com/varbench/methods/blob/main/scripts/J1J2/square_36_P_0.7/vmc_rbm.sh)",
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      "reference": "[code](https://github.com/varbench/methods/blob/main/scripts/J1J2/square_36_P_0.7/vmc_jastrow.sh)",
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    },
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      "bound_type_reason": "variational ansatz, or a Lanczos improvement of one (RULES.md 4)",
      "reference": "Chen, Hendry, Weinberg & Feiguin, Systematic improvement of neural network quantum states using a Lanczos recursion, arXiv:2206.14307 (2022)",
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        "checked_on": "2026-09-14",
        "method": "arXiv PDF text extracted locally with pypdf, no LLM transcription",
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        "note": "Read from Table 5 of arXiv:2206.14307 (J1-J2 on 6x6 and 10x10 square lattices, PBC, E/N in S.S units), extracted from the PDF with pypdf.",
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