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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.

Reproducible certificates and actual remaining cost.

tfpt research contracts · Research contracts

The planner uses integers and fractions, with upward roots, [formula in source] , [formula in source] and [formula in source] for [formula in source] . At [formula in source] , full memory and a [formula in source] omission target, the published Round 26 [formula in source] improve to [formula in source] . Applying the same first-passing-integer search to the old inequalities gives [formula in source] : the gain is n

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

Source location and explicit evidence links

tex-artefacts/toe_round27_full_reference.tex · lines 155 to 187

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

What this source index covers

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.