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No Reflection Knows Left from Right Below Index 12

Written 2026-08-11. Claims re-read against their sources on 2026-09-27: 7 checked, 6 confirmed, 0 wrong, 1 unverifiable. By claims audit 2026-09-27 (outside audit agent; record backfilled from its report by a second agent).

Control-sample audit (research/claims-audit/PREREG.md), 2026-09-27, findings condensed in research/claims-audit/findings/r1.md. Reader check: none possible; the named verifier is 404 and absent from /checks/. Run against the live page's bytes, the repository verifier fails "all executable scripts are local" (the edge-injected beacon); run in the repository it passes 86/86. Hand check: 25^3 - 1 = 15,624, x 11 = 171,864. The layer was classified reader-side; git shows no change to it since the audit.

Claims

• CONFIRMED ITA A ch. 1.3, "A general introduction to space groups", is by Souvignier; the 11 enantiomorphic pairs
  https://www.iucr.org/news/newsletter/volume-25/number-1/it-vol-a-6th-ed : matches; the 11 pairs in operations.mjs are the standard 11
• CONFIRMED P61/P65 = 169/170 and P62/P64 = 171/172
  https://en.wikipedia.org/wiki/List_of_space_groups : correct
• CONFIRMED Hovmoller on systematic absences for 3-fold screw axes such as P31
  http://oldwww.iucr.org/iucr-top/comm/cteach/pamphlets/9/node5.html : "In space groups with 3-fold symmetry, such as P31, there will be systematic absences..."
• CONFIRMED Togo, Shinohara, Tanaka, "Spglib", STAM Methods 4(1) 2384822 (2024)
  https://api.crossref.org/works/10.1080/27660400.2024.2384822 : matches
• CONFIRMED Flack and Bernardinelli, Acta Cryst A55(5) 908-915 (1999)
  https://api.crossref.org/works/10.1107/S0108767399004262 : citation confirmed; the page's paraphrase of its content was not read
• CONFIRMED spglib is BSD-3-Clause
  https://spglib.readthedocs.io/en/stable/ : "License: BSD-3-Clause"
• UNVERIFIABLE The International Tables web rendering attaches inconsistent type numbers to the P61/P65 and P62/P64 symbols
  it.iucr.org and the Wiley mirror : both returned 403

What was done

• [declined] NOT ADDRESSED: MED the only offline check the page names (index.html:429) cannot be obtained by a reader (404, not on /checks/), and it also reads unserved src/content files; publish it through the source mirror or stop naming it.
• [declined] NOT ADDRESSED: MED "No runtime data leaves this directory" (index.html:421) is false of the served page, which carries the edge-injected /api/pulse fetch and the Cloudflare beacon; already on the board in the 2026-09-27 note on worker.js (edge injection), which names this layer.