Gemma 4 31B Behavioral Fingerprint

How Google's Gemma 4 31B answers one-word probe questions at temperature 1.0 — random numbers, colors, animals, coin flips — measured over 441 valid samples in the open dataset of "One Token Is Enough" (arXiv:2607.10252).

Vendor

Google

Data generated

2026-07-08

Probe cells

15

Valid samples

441

Randomness score

6 / 100

Mean normalized entropy across cells, 0–100. 100 would be a uniform-random baseline; real models score far lower.

Signature answers

Favorite random number (1–100)

42

28 / 29 answers

Favorite color

azure

15 / 29 answers

Coin flip: heads

100%

Share of heads across coin-flip cells.

Answer distributions by probe cell

Empirical distributions of normalized one-word answers, per task and language. H is the Shannon entropy in bits; the uniform baseline is log2 of the answer-domain size.

Coin flip · English

n = 30 · H = 0.00 bit · uniform baseline 1.00 bit

AnswerCountShare
heads30100.0%

Coin flip · Chinese

n = 29 · H = 0.00 bit · uniform baseline 1.00 bit

AnswerCountShare
heads29100.0%

Favorite number · English

n = 29 · H = 0.36 bit · uniform baseline 13.29 bit

AnswerCountShare
422793.1%
726.9%

Favorite number · Chinese

n = 30 · H = 0.00 bit · uniform baseline 13.29 bit

AnswerCountShare
730100.0%

Random animal · English

n = 30 · H = 1.07 bit · uniform baseline 5.64 bit

AnswerCountShare
capybara2066.7%
elephant930.0%
cat13.3%

Random animal · Chinese

n = 30 · H = 1.18 bit · uniform baseline 5.64 bit

AnswerCountShare
2273.3%
熊猫516.7%
豹子26.7%
老虎13.3%

Random city · English

n = 30 · H = 0.00 bit · uniform baseline 5.64 bit

AnswerCountShare
tokyo30100.0%

Random city · Chinese

n = 30 · H = 0.00 bit · uniform baseline 5.64 bit

AnswerCountShare
东京30100.0%

Random color · English

n = 29 · H = 1.00 bit · uniform baseline 4.91 bit

AnswerCountShare
azure1551.7%
blue1448.3%

Random color · Chinese

n = 27 · H = 0.38 bit · uniform baseline 4.91 bit

AnswerCountShare
2592.6%
27.4%

Random letter · English

n = 29 · H = 0.89 bit · uniform baseline 4.70 bit

AnswerCountShare
q2069.0%
r931.0%

Random number 1-10 · English

n = 29 · H = 0.00 bit · uniform baseline 3.32 bit

AnswerCountShare
729100.0%

Random number 1-10 · Chinese

n = 30 · H = 0.00 bit · uniform baseline 3.32 bit

AnswerCountShare
730100.0%

Random number 1-100 · English

n = 29 · H = 0.22 bit · uniform baseline 6.64 bit

AnswerCountShare
422896.6%
413.4%

Random number 1-100 · Chinese

n = 30 · H = 0.21 bit · uniform baseline 6.64 bit

AnswerCountShare
422996.7%
413.3%

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Data source & license

Distributions: Tomáš Bruckner, "One Token Is Enough" (arXiv:2607.10252), official dataset Zenodo DOI 10.5281/zenodo.21278557, licensed CC-BY-4.0. Collected via OpenRouter at temperature 1.0 under the paper's fixed minimal one-word system prompt; answer keys are re-normalized with the checker's pipeline (color aliases, number words, coin h/t) so live probes are directly comparable.

Paper on arXivDataset on ZenodoCC-BY-4.0 license

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Gemma 4 31B Behavioral Fingerprint — Favorite Random Numbers & Distribution | Tosea.ai