Four Rounds of Adversarial Audit on a Quantitative Hypothesis: Definitional Invariances, Bound Echoes, and an Identifiability Limit — A Case Study

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Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-21
DOI
https://doi.org/10.5281/zenodo.22865081
Primary Topic
Philosophy and History of Science
Type
preprint
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preprint

Four Rounds of Adversarial Audit on a Quantitative Hypothesis: Definitional Invariances, Bound Echoes, and an Identifiability Limit — A Case Study

Papanokechi
Zenodo (CERN European Organization for Nuclear Research)
Philosophy and History of Science
preprint

Four Rounds of Adversarial Audit on a Quantitative Hypothesis: Definitional Invariances, Bound Echoes, and an Identifiability Limit — A Case Study

Papanokechi
preprint en

Abstract

A case study in epistemic governance. Four rounds of adversarial audit applied to one quantitative hypothesis: a publicly presented model (G. Drumm, "Land of Khem") proposing that Egyptian pyramids operated as industrial-scale chemical plants. The pyramid model is the test object; the contribution is methodological. Methods. Stoichiometric restatement of each claim; a 37 × 26 stoichiometric network with flux balance analysis and shadow prices; 200,000-draw Monte Carlo with Saltelli–Sobol indices (720,896 model evaluations); contamination-robust Bayes factors and expected information gain for experiment ranking. Seven epistemic tags (PROVEN, VERIFIED, STRUCTURAL, CONJECTURED, DEFINITIONAL, INPUT-UNVERIFIED, FAILED-GATE) are assigned in code from gate outcomes; an untagged claim cannot be emitted, and a failed gate degrades the tag automatically. Methodological results. (1) An invariance is STRUCTURAL only if tested under a perturbation that could have falsified it; two form-guaranteed invariances had been reported as findings. (2) A bound-echo elasticity audit: every absolute production figure restated an assumed supply bound. (3) An identifiability theorem: WHERE competing processes share a reaction set, source compositions and flux ray, they imply identical product composition, so no residue measurement can establish agency between them; the conditional is load-bearing. 18 findings reversed and 4 tags downgraded across the four rounds, followed by five itemised post-freeze errata; the full version trail is included as evidence. Two fabrications, reported at full size. The study produced a quotation attributed with a page number to a primary source that does not contain it, and a composed placeholder title presented as a citation. The adversarial round confirmed the first rather than catching it, and caught the second only indirectly. Both are documented in the report's Limitations as its most instructive single results, together with a third defect of the same family: an unchecked assertion that a reference had no registered DOI. Verdicts, stated separately. The industrial-manufacturing thesis is refuted on scale (nitrogen-limited ceiling 1.55–1.93 kg H2SO4/yr). Residual in-situ natural chemistry is undecidable by product measurement. One measurement remains informative as a bound only: δ34S of archived pre-1992 crust. Limitations. Geochemical, Egyptological and conservation-history inputs have not been reviewed by a domain specialist; the conservation history in particular rests on a single unverified source. Several references lack DOIs and are flagged individually. Transcript-derived numbers are tagged INPUT-UNVERIFIED throughout. All review rounds were conducted between models of broadly similar training, so the shrinking size of successive corrections is suggestive of convergence but is not evidence of it; the strongest remaining improvement is a reader with a different prior, deferred to post-publication review. Disclosure. This report was prepared using the SIARC research pipeline with AI assistance from GitHub Copilot and Anthropic Claude. Adversarial review rounds were conducted by a separate Claude instance, which also drafted the title-page descriptor and the WHAT IS NOT CLAIMED paragraph; both were adopted by the author. All claims are the author's own. The AI disclosure is made in accordance with the AEAL standard (DOI: 10.5281/zenodo.19565086). Files. Main report (PDF and Markdown); supplements S1–S4, corresponding to audit rounds one to four, in PDF and Markdown, included unaltered as the audit trail; code bundle of fourteen modules (tagging, network, Monte Carlo, experiment design, round-two corrections, round-three and round-four audits, three errata modules, cross-check, fact-check) with pinned seeds; deposit tooling is separate, is not counted among the fourteen, and is deposited as deposit-tooling.zip so that every reproducibility claim in these notes can be run. WHAT IS NOT CLAIMED. This report does not claim that any Egyptian structure was, or was not, used for chemical processing beyond the scale bound stated in section 5.1. It does not claim domain-specialist validation of its geochemical, Egyptological or conservation-history inputs. It does not claim that the audit protocol is complete or has converged; its reviewers shared a prior, and two fabrications passed at least one round. It does not claim that the sulfur-isotope measurement in section 5.3 can establish agency; it can only bound a mass.

Zenodo (CERN European Organization for Nuclear Research)
Philosophy and History of Science
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