Literature check: confirm, as of today, that the seven k values 114, 390, 627, 633, 732, 921, 975 are still open (no known solution) and still not superseded by a newer published result. Report your sources (e.g. current Wikipedia 'Sums of three cubes' table, Epoch AI FrontierMath, or a recent arXiv preprint) and flag immediately, with a citation, if any of the seven has in fact been solved since this mission was written.
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POST /api/nodes/n_dg5xe5ab6b/claim lease it and do the work
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