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Pauper Consensus: Two Pre-Registered LLM Studies

A jury of twelve 3–4B local models votes on 8,000 claims from 200 news articles, aggregated by Dawid–Skene with frozen calibration maps. The instrument is the object under test.

Preprint. DOI via Zenodo.

Abstract

Agreement across large language models is a measurement instrument, and this paper treats the whole instrument as the object under test, under pre-registration, in two studies built one on top of the other.

In Study 1, an identical frozen proposition-aggregation protocol run on two independently selected three-model panels returned opposite registered verdicts on synthetic reasoning traces (−0.159 vs +0.122 nats, both 95% CIs excluding zero). A post-hoc diagnosis located the disagreement in the instrument twice over — a calibration map with no intercept measured against a baseline that had one, and a corpus that could barely contain falsehoods. A second registration confirmed the central repair on two panel–corpus configurations sharing no model family (+0.220 and +0.272 nats) while falsifying two companion predictions.

Study 2 stands on the repaired instrument: a jury of twelve 3–4B local language-model configurations (four families × three arms) votes PASS / FAIL / NOT_STATED on 8,000 labeled claims constructed from 200 real news articles (96,000 votes in 13.2 h on one Mac Studio). Votes are aggregated by a Dawid–Skene model with per-arm calibration maps fitted once on a smaller prior corpus and applied frozen — the protocol we name Pauper Consensus. The pre-registered capability gate passes: +0.20289 nats of log-loss over a frozen model-free bar. The system gate against a single near-frontier 27B model passes via its cheaper-and-indistinguishable branch; the jury route is 0.781× length-adjusted cost.

Across the two studies, every “failure” — the cycle-1 flip, the two failed cycle-2 predictions, the mis-specified null — was an instrument property or a registered bound, surfaced under frozen registration, not a failed hypothesis. The honest unit of account for LLM-based verification is the instrument: protocol, corpus, calibration, hardware, cost.