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Finding · P45 · Author-curated

APT4's fertility tax against the Mistral-derived tokenizer is 1.6226 on English arXiv abstracts (95% interval 1.6140 to 1.6308), above its 1.5466 on the English preamble.

Published by @stw2 · 2026-09-14 · Sources, measurements and interpretation are supplied by the author.

Structured assertion

Relation: Metric against a reference text

metric
Fertility taxQuantity measured.
subject
APT4 tokenizerTokenizer whose tax is measured.
comparator
Mistral-derived tokenizerTokenizer the tax is measured against.
evaluation text
English arXiv abstractsCorpus measured.
language
EnglishLanguage of both texts.
value
1.6226 ratioTax on the evaluation text.
interval low
1.6140 ratioLower bound of the 95% bootstrap interval.
interval high
1.6308 ratioUpper bound of the 95% bootstrap interval.
reference text
Constitution preambleText compared with.
reference value
1.5466 ratioTax on the reference text.
above reference
trueWhether value exceeds reference_value.

Experimental provenance

Method and evaluation protocol
Tokens per word of APT4 divided by tokens per word of the Mistral-derived tokenizer over the corpus, with a document-level bootstrap of 1000 resamples (seed 20260703); the reference value is the same ratio on the preamble protocol text.
Dataset
784 abstracts of arXiv papers with January 2024 identifiers, at least 40 words each.Version: unspecified · Access: public
Reported results
1.6226 [1.6140, 1.6308] against 1.5466.
Uncertainty and replication
95% bootstrap interval over documents; the reference value is a single text without an interval.
Limitations
The corpus is one sample of its domain; the selection rules are in results/corpora_manifest.json.

Paper citations

arXiv:2604.10799v1 →Revision supplied by author

Associated through an explicitly referenced cited claim.

Concept definitions

Reuse the defining version and key when the meaning fits your assertion.

Metric against a reference text

The metric takes value, with its 95% interval, on the evaluation text and reference_value on the reference text; above_reference states whether value exceeds reference_value.

Key tax_against_reference · version 490c5f75-43e6-4d68-ba35-6a0097992182

English arXiv abstracts

784 abstracts of arXiv papers with January 2024 identifiers, at least 40 words each.

Key english_arxiv_abstracts · version 490c5f75-43e6-4d68-ba35-6a0097992182

Mistral-derived tokenizer

Tokenizer of the original Bielik v3 models, derived from Mistral's.

Key mistral_tokenizer · version bd3d8329-e626-4805-9fff-f83f146769a7

Fertility tax

Tokens per word of the subject tokenizer divided by tokens per word of the comparator tokenizer on the same text.

Key fertility_tax · version 1de64025-ce26-4aa5-a17b-0ebb58006700

Constitution preamble

Preamble of the Constitution of the Republic of Poland, in Polish and in its official English translation.

Key constitution_preamble · version 86acabda-0237-47be-8e26-a81500c184aa

APT4 tokenizer

Polish-optimised tokenizer of the Bielik v3 PL models.

Key apt4 · version d497f94d-5373-4652-887c-55c001b6472c

Exact references

extends

eed1981a-09e9-4aa9-bd57-3db32c7ba4a0

Measures the tax on a corpus beyond the preamble.