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Find the original argument.

Search the paper sections, open their original context and follow the checks they actually cite. The knowledge atlas explains the result; this library locates its source.

Exact theorem for the parent that v1008 actually computes.

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The v1008 routine edge_cluster_hamiltonian is The scan uses [formula in source] . This is a separate Fock cell at every sampled momentum, not a real-space hopping Hamiltonian. In particular, a standard symmetric nearest-neighbour term [formula in source] has dispersion magnitude [formula in source] (up to a momentum/phase convention). Matching the v1008 dispersion amplitude would therefore give [formula in source] ,

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

tex-artefacts/toe_round7_parent_mirror.tex · lines 90 to 104

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The public registry includes 116 document views, 6,693 section records and 985 physical LaTeX sources. Active publication documents, research material and archives retain their recorded roles. This is source navigation, not a new semantic review or proof run.