| Corpus | c. 1,600 clay tablets |
|---|---|
| Sign inventory | c. 1,200 unique signs, c. 400 core ideograms |
| Find contexts | Lowland Susa plus highland outposts at Tepe Yahya, Sialk, Godin Tepe and Shahr-e Sokhta |
| Geographic span | over 1,500 km |
| Audited in detail | 20 consecutively archived tablets, P008791–P008810 |
| Sources | CDLI transliterations · Damerow & Englund (1989) · Scheil (1935) · Friberg (1978–79) · Meriggi (1971) · Amiet (1972) |
| Does not attempt | Decipherment. The audit asks what signs do, not what they mean |
The structure is positional: headers identify institutions, medial signs serve as personal identifiers or project numbers, terminal operators classify the object being counted, and numerical notations close every entry. Four fields, in fixed order, across a network spanning fifteen hundred kilometres.
| Header M157 | 17 of 20 (85%) · exceptions: P008791, P008798, P008808 |
|---|---|
| Deficit sign M004 | 12 tablets |
| Reconciliation M341 | 8 of those 12, on the reverse |
| Debts carried forward | 4 exceptions: P008793, P008796, P008799, P008802 |
| Arithmetic check | P008791: 128 N 01 S at β = 2.5 predicts 51.2; recorded 52; discrepancy 0.8 |
The 0.8 discrepancy is reported rather than smoothed. The paper reads it as human approximation of a fractional remainder and states openly that whether the capacity system could represent 1/5 as a standard fraction is uncertain.
Across the eight tablets where both signs co-occur, the pattern is consistent: an outstanding balance is recorded on the obverse, and during summation on the reverse the reconciliation operator subtracts it from incoming grain volume — resetting the ledger to zero for the next administrative cycle.
One tablet demonstrates conditional exception handling. The plow sign acts as a logical trigger that switches the metrological system in use, moving from capacity tracking to sexagesimal area counting and outputting 211 discrete units (3 × 60 + 3 × 10 + 1) under a different scheme. An if-then branch, executed in clay, five thousand years ago.
The constants were not adjustable. The seed-to-land ratio was unyielding and the ration constant was fixed. When yields fell under climatic deterioration, the administration had no elasticity: deficits compounded, the reset loop could no longer close accounts, and the network collapsed around 2900–2800 BCE.
In control terms, the error signal exceeded the operational range of the controller. The system did not fail because it was badly run. It failed because it was specified with constants it could not revise — which is the same fault this research programme audits in modern reporting architectures, four and a half thousand years later.
The underlying language is unknown, no bilingual text exists, and no lexical lists survive — the "dictionaries" that helped crack proto-cuneiform have no Proto-Elamite equivalent. Nothing here changes that.
Two direct proofs and one corroborative case. The paper says the sample is small in its own words, and marks the third tablet as consistent with the constant rather than proving it independently.
The reconciliation sign as an active deficit-reset operator, the shift-of-authority model, the plow sign as an if-then trigger, and the climatic account of the collapse are all inferences drawn by the author from structural co-occurrence — not previously documented definitions.
Diener, Ł. (2026). Excel in Clay III: The Susa Protocol — An Algorithmic Audit of the Proto-Elamite Operating System (version 1.0). Zenodo. https://doi.org/10.5281/zenodo.20396089
Preprint, not peer reviewed by a journal. Licensed CC BY 4.0. First published of the three corpus audits, though numbered third: the numbering is thematic and publication order was III, I, II.
Read on Zenodo Excel in Clay I Excel in Clay II All six audits