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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.

The Möbius origin of the irreducible [formula in source]

input 5 tfpt 3 e8 audit bootstrap

What the loop does not remove is [formula in source] . In the old theory this is exactly the Möbius datum: the orientable double cover of the Möbius fibre is a cylinder with two boundaries plus one [formula in source] seam [formula in source] ; Gauss–Bonnet gives [formula in source] (hence [formula in source] ), and the [formula in source] identification is the sheet `` [formula in source] '' of [formula in source] .

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

Source location and explicit evidence links

experiments/theory-contracts/universalraum-spin-lift-basics-20260915/sources/input_5_tfpt_3_e8_audit_bootstrap.tex · lines 12346 to 12470

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.