Full-system audit of the PUM catalog — four parallel passes over (1) the 60-row claims register, (2) the mandala + calculator mathematics, (3) all published pages and research notes, (4) the build pipeline and serving setup. Complements the earlier arithmetic audits (phases 1–2, ledger arithmetic) which predate the mandala rebuild and the register’s growth from 40 to 60 rows.
Headline results
- Mathematics: clean. All 1,696 mandala cells recomputed independently — zero wrong values. Fixture current. Geometry invariants hold. All 39 corner-panel identities verified exact under the repeating-decimal reading (one requires the 360-day year).
- Register mechanics: clean. CSV↔HTML in perfect 60-row sync; all cross-references resolve; no structural or quoting hazards.
- Content: 9 factual errors found in our own research notes — all fixed (see below). The load-bearing conclusions all survived; in two cases the corrected numbers strengthen them.
- System: pipeline correct, serve healthy; the offline share bundle was not fully self-contained (fixed).
Errors found and fixed
| where | error | fix |
|---|---|---|
| C16 + note 22 | precession drift stated as ~1.1 yr/century | ~11.3 yr/century (T² coefficient misread) |
| note 22 epoch table | Plato 25,860 / Hipparchus 25,830 — impossible under the page’s own monotonic model | Plato ≈26,040 / Hipparchus ≈26,020 / Bronze Age ≈26,290 (full P03 recompute; ancient epochs were farther from 25,920, strengthening the conclusion) |
| C17 + note 24 | two different “actual” Sun diameters cited (865,370 vs 864,938 mi) | standardized on IAU nominal 864,576 mi (radius 695,700 km); 864,000 is 0.07% low |
| C21 | 51.844° attributed to Petrie’s measurement | Petrie’s mean is 51.867° ± 2′; 51.843° is the theoretical 14/11 seked slope |
| C53 | Vilnius radiocarbon attributed away from Greenyer | it is Greenyer’s finding; the “time-dilated carbon” framing is Jordan Collin’s |
| C32 / C08 | Shoulders “peer-reviewed-ish from 1970s” | self-published 1987 monograph + 1991–92 patents; EV work from ~1980 |
| notes 23/24 + register | corpus size “~951k words” (and one “1.7 million”) | recounted from disk: ~918k (patents on disk are ~124k, not ~155k) |
| note 22/23 | “25,920 enters via Blavatsky 1888” | Secret Doctrine prints the related 25,868; the rounded 360 × 72 canon consolidates in later esoteric writers |
| note 24 | Michell’s Dimensions of Paradise dated 1971 | 1988 |
Structural fixes
- Corner panels restored to exact verbatim strings (5 abbreviations reverted).
- Share bundle now truly self-contained: modal poster image inlined as a data URI; relative links neutralized inside the offline copy.
- A local file link removed from note 24.
- Dead code removed (unused
SEASONSconstant that contradicted the real layout; unusedvalueAt()in the calculator carrying two latent divisor bugs; orphaned photo-crop assets). - Audit-mode disclaimer added to the mandala page (was missing there).
- Sub-directory pages’ navigation links repaired (five dead links in the lab proposal).
- Notes 18 and 20 re-linked from the index (were shipping but unreachable).
What passed spot-checks unchanged
C13 sonoluminescence dating (Frenzel–Schultes 1934), C28 Schwabe mean (~11.0 yr), C16’s IAU value (25,771.58 yr) and the AD-686 solve (recomputed exactly), the PART-17 line-411/413 quote (verbatim against source), the mandala modal’s 108× distance arithmetic, Moon diameter 2,159.1 mi, hydrogen melting point −259.16 °C.
Audit-mode note: fixes above correct our catalog’s own reporting. No source-model claims were altered; the register’s verdict labels were unaffected except C47 (verifiability token replaced by a proper AWAITING-TEST status).
Addendum · 2026-09-26 — check against the poster
This audit recomputed every cell from the generator’s own rules. A later cell-by-cell comparison with the original poster found places where those rules differed from the poster itself. Corrected:
- §2 Music: each half now reads B A G F E D C, as printed (the rebuild had a 16-step chromatic run with sharps); the top keyhole carries −259.2.
- §3 Crystal Forms: Monad → Tetrad → Monad across each half (6 of 14 cells had differed).
- §4 Valencies: −1 −2 −3 ±4 +3 +2 +1 across each half, positive values in red (all 14 numbered cells had differed).
- §19 Dimensions: a straight sweep of 9.999 like the other outer rings (0.3124688, 0.6249375 … 9.686531), in the mandala and the calculator. The poster prints the last cell as 9.686539; 9.999 × 31/32 = 9.686531.
- Colours and markers: element and note colours now follow the element groups as on the poster; the ring index ②–⑧ and the zodiac running totals (2,160 … 23,760) are restored; outer-ring values print in full up to three decimals (28.125, not 28.12; 12,493.125) and to 7 significant figures beyond that (0.3124688).