Jev thinks "I don't know'', but doesn't say it: Introducing Sys1Cal-v1 Dataset for Probability Calibration

Riccardo Porcedda

little-g.ai · Sant'Anna School of Advanced Studies · University of Pisa

Published September 28, 2026 · on the feed September 30, 2026 · ▲ 7 · arXiv 2609.35342

The abstract

The appearance of Jev marked the era of System One Models, foundation models that return structured decisions with probability distributions rather than text. Aside from low cost and great speed, Jev's central promise is that these probabilities are calibrated: such claim is not backed by any public test and available external benchmarks evaluate confidence calibration, not whether every returned option probability has the right numerical meaning. To tackle this issue, we introduce Sys1Cal-v1, a dataset of True/False questions about a proposition A for which the exact probability P(A) is known by construction. Each item is queried through the three Jev primitives - Noul, Choice and Score - and evaluated by total variation distance from the ground-truth distribution, which can be used to estimate a soft accuracy of System One Models. We showcase the utility of Sys1Cal-v1 as a benchmark dataset by evaluating Jev and SemIf, an open-source Choice-style baseline. In this work, however, we focus even more deeply on Jev, by studying the calibration of its Score and Choice answers. In particular, we discover a peculiar behaviour that can be explained by assuming that Jev suppresses a third truth value, going beyond True and False. In other words, in Choice answers, P(A) and P(neg A) are presented as if P(A)+P(neg A)=1, while a term P(U)neq0 is missing in the sum. Recovering P(U) leads to an improvement of median soft accuracy in Choice answers from 0.771 to 0.978, suggesting that, even in binary decisions, Jev wants to answer with a third option:``I don't know''.

The Brief

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Transcript

Jev thinks "I don't know'', but doesn't say it. Introducing Sys1Cal-v1 Dataset for Probability Calibration. By Riccardo Porcedda, from little g dot A I, the Sant'Anna School of Advanced Studies, and one other institution. Published on the twenty-eighth of September. Its code repository is worked out: about sixty-five source files, with a readme.

Jev, the paper says, marked the start of an era of System One Models: foundation models that return structured decisions with probability distributions attached, rather than text. Beyond low cost and high speed, Jev's central promise is that those probabilities are calibrated. No public test backs that claim. The external benchmarks that exist evaluate confidence calibration, which is a different question from whether every option probability a model returns carries the right numerical meaning. When a model puts a number on an option, does that number mean what it says? Nothing available checked that, option by option.

Sys1Cal-v1 is built to check it. The benchmark measures how far a model's returned probability distribution sits from the true one. The distance used is total variation distance from the ground-truth distribution, and from it one can estimate a soft accuracy for System One Models. The scoring does not ask whether the model picked the right answer. It asks whether the probabilities it attached to each answer were the right numbers, which is the exact promise the gap left untested.

The dataset is made of True or False questions about a proposition, call it A, for which the exact probability of A is known by construction. That is what makes a ground truth possible at all. For most questions nobody knows the correct probability, only the correct answer. Here the construction supplies the probability itself, so a model's stated number can be compared against a known one. Each item is put to the model through the three Jev primitives, named Noul, Choice and Score, so the same question is asked in each of the forms the system offers.

To show the dataset at work, the author evaluates Jev and SemIf, an open-source baseline in the Choice style. Most of the attention then goes to Jev, studying how well calibrated its Score and Choice answers are. One behaviour stands out as peculiar, and it can be explained by a single assumption: that Jev suppresses a third truth value, beyond True and False.

In Choice answers, the probability of A and the probability of not A are presented as though they add up to one. On this account there is a missing term, the probability of a third outcome, U, which is not zero but has been left out of the sum. Recovering that term lifts the median soft accuracy of Choice answers from zero point seven seven one to zero point nine seven eight. Accounting for the hidden option, in other words, brings the median close to a perfect score.

The title compresses the result into a sentence. Even when asked a strictly binary question, Jev behaves as if it wants a third option, I don't know, but the answer it returns leaves that option out of the sum. A dataset with known answers is what made that missing mass measurable.

Paper Quest · 7 chapters · about 40 min

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Chapter 1 🧩 · The problem

A model promises its probabilities are right. Nobody has checked. Start there.

You run a pipeline that acts on a model's probabilities, not just its labels. The model returns a number for every option and promises those numbers are calibrated.

The road ahead

  1. 1 · The problem ~7 min A model promises that every probability it returns means what it says, but nothing tests that promise, and real questions have no known right probability.
  2. 2 · What came before ~3 min
  3. 3 · The key idea ~8 min Build questions whose true probability is fixed in advance, score the model's numbers by their distance from it, and find a hidden third value in Choice answers.
  4. 4 · Choose your own research ~3 min
  5. 5 · Build the method ~8 min Fix a proposition's probability, ask the model about it three ways, score each answer by distance, then add back Choice's missing uncertainty.
  6. 6 · The experiment ~6 min You’ll guess: When the suppressed third truth value is recovered, what happens to the median soft accuracy of Jev's Choice answers?
  7. 7 · The viva ~5 min Three questions from the examiners, answered in your own words. Win it for the paper’s trophy.
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