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Paper Citation Record · LEDGER

Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 21 inbound Pith citation observations for arXiv:2402.14903.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2402.14903 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 21 of 21 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:32:09.093009Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-02T23:17:29.468277Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 4648c336-43a6-47cc-9355-232b5647d727 · inbound

multivariateGPT: a decoder-only transformer for multivariate categorical and numeric data cites this paper.

multivariateGPT: a decoder-only transformer for multivariate categorical and numeric data Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 12

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unresolved
no resolver link, observed 2026-08-07T13:32:09.093009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:32:09.093009Z digest=sha256:ba4b43ad3b8e250955ec1f3714e44d0b16b7ba068b82fc59679c35797b7b871c

Observation 9cf2b8b7-b08a-427a-b738-aa698ae8fc7f · inbound

BPE Stays on SCRIPT: Structured Encoding for Robust Multilingual Pretokenization cites this paper.

BPE Stays on SCRIPT: Structured Encoding for Robust Multilingual Pretokenization Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T12:35:32.293186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:35:32.293186Z digest=sha256:8e9cbe867eaba7105c24bffa398a673b5b61101f7f374924f0c5a46bf121c46f

Observation 8c0ca507-9fee-4f8e-98b9-7cb9c0d12d7d · inbound

Beyond In-Context Learning: Aligning Long-form Generation of Large Language Models via Task-Inherent Attribute Guidelines cites this paper.

Beyond In-Context Learning: Aligning Long-form Generation of Large Language Models via Task-Inherent Attribute Guidelines Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-07T11:52:35.460469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:52:35.460469Z digest=sha256:2af25d7b8a19e048a682b6fedeae4440e018a1969713d9e7d24a2b59faf122fc

Observation 260d899d-5546-4b5b-9352-9fc8864fd913 · inbound

Improving Large Language Models with Concept-Aware Fine-Tuning cites this paper.

Improving Large Language Models with Concept-Aware Fine-Tuning Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 51

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unresolved
no resolver link, observed 2026-08-07T05:28:23.956370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:28:23.956370Z digest=sha256:abfecd591075b6bed22338f06a3b39efa58832403af598b59bf09efd88734570

Observation 5f52bfe7-978b-4257-a696-743e4954402a · inbound

Incorporating Domain Knowledge into Materials Tokenization cites this paper.

Incorporating Domain Knowledge into Materials Tokenization Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-07T05:38:25.945314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:38:25.945314Z digest=sha256:72dfa9cd64610988cd7c7f2a5bd22d40b7cc9ab150f8ab836e75cf3a0ca2fd06

Observation 9c87e2ad-028a-42c4-bc45-db1759809ecd · inbound

The Decrypto Benchmark for Multi-Agent Reasoning and Theory of Mind cites this paper.

The Decrypto Benchmark for Multi-Agent Reasoning and Theory of Mind Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 2017

Resolution
unresolved
no resolver link, observed 2026-08-06T22:49:39.391218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:49:39.391218Z digest=sha256:e106deef41891244b35946565e002d4e035704bc88255a8d7af00c164f813d75

Observation 9d1cba0c-1440-49e1-ba17-4434449d1ec3 · inbound

FLEXITOKENS: Flexible Tokenization for Evolving Language Models cites this paper.

FLEXITOKENS: Flexible Tokenization for Evolving Language Models Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 43

Resolution
metadata mismatch
arxiv_id, observed 2026-05-19T05:12:05.168755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T05:10:19.093601Z digest=sha256:55c31a5a469e7caed5ebd1fb1721fdc37416b77d42bb686f8d3a99dfe05caba9

Observation a3304daf-b9de-49a4-9691-3c7c562a0ade · inbound

Falcon-H1: A Family of Hybrid-Head Language Models Redefining Efficiency and Performance cites this paper.

Falcon-H1: A Family of Hybrid-Head Language Models Redefining Efficiency and Performance Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 97

Resolution
unresolved
no resolver link, observed 2026-08-06T11:44:05.142116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T11:44:05.142116Z digest=sha256:8f69802d6ee1d58ad90cd6efad91bc1fbfddd46223d68e41d803e185ef153a7a

Observation 49c8fbcb-3d5a-49a3-bcaf-e4333e50c2e9 · inbound

BALM-TSF: Balanced Multimodal Alignment for LLM-Based Time Series Forecasting cites this paper.

BALM-TSF: Balanced Multimodal Alignment for LLM-Based Time Series Forecasting Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 36

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unresolved
no resolver link, observed 2026-08-05T13:29:03.261497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:29:03.261497Z digest=sha256:ae866e689e023066d71e16fa398726fb3eae12af34baf4adcd3bbe741d75fcdb

Observation 9887c841-c659-443e-9963-3ee6a95ef692 · inbound

MachineLearningLM: Scaling Many-shot In-context Learning via Continued Pretraining cites this paper.

MachineLearningLM: Scaling Many-shot In-context Learning via Continued Pretraining Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 23

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verified exact
arxiv_id, observed 2026-05-18T18:11:42.717241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-18T18:09:18.157131Z digest=sha256:18b6f28a7f71a67d460e21b1cd31dbe69f879cc31aa9cf604b57b0e401e708a2

Observation a98403a5-9c06-4407-a1ab-29e96c9a9063 · inbound

Efficient numeracy in language models through single-token number embeddings cites this paper.

Efficient numeracy in language models through single-token number embeddings Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-21T21:10:38.599554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-21T21:09:02.731348Z digest=sha256:29935f5cee2da6eea3833b86df7281c4d31886240f1664a9d742deea73acb8b9

Observation f6bfa3e8-5902-4e56-9dd4-d6965d0f8cb6 · inbound

The Effect of Scripts and Formats on LLM Numeracy cites this paper.

The Effect of Scripts and Formats on LLM Numeracy Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T08:58:51.011666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:58:51.011666Z digest=sha256:26b8d0f7d65b7fc8d519f0fcbe960fed1ba6d28f3161e64dd72da88418dce272

Observation 868c7b07-7bf2-4b01-aedb-0a9848d884f7 · inbound

A Triadic Suffix Tokenization Scheme for Numerical Reasoning cites this paper.

A Triadic Suffix Tokenization Scheme for Numerical Reasoning Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-11T10:01:03.951927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T15:40:51.075093Z digest=sha256:179de29ac324741e04af25ec33a76c5d1ba4cee33a2623c8377c1f50b6ef1f18

Observation d7240dc5-a8b7-4d43-b421-5c818b4acd3e · inbound

How Tokenization Limits Phonological Knowledge Representation in Language Models and How to Improve Them cites this paper.

How Tokenization Limits Phonological Knowledge Representation in Language Models and How to Improve Them Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-10T06:51:46.090748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-10T06:48:45.333416Z digest=sha256:ba851e2ced3cef9dc1d430014cffda613645954aa7f89ed4081c90e146e1e95c

Observation 4ad61510-cc4a-4206-b912-23713f93eaa4 · inbound

Understanding Secret Leakage Risks in Code LLMs: A Tokenization Perspective cites this paper.

Understanding Secret Leakage Risks in Code LLMs: A Tokenization Perspective Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-10T10:14:10.468298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-10T05:01:58.893631Z digest=sha256:9d6f755968fdb2aaad99924cf52413c25016c838372608b3148e9cf73fa8966f

Observation 33369590-274d-454c-bd6b-9a8de05fcca9 · inbound

Large Language Models as Amortized Pareto-Front Generators for Constrained Bi-Objective Convex Optimization cites this paper.

Large Language Models as Amortized Pareto-Front Generators for Constrained Bi-Objective Convex Optimization Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-05-13T06:27:24.637406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-13T06:24:49.154910Z digest=sha256:a6181904abdc32e1feac51d9bbb638dad4e9227153acfe9211234d2050a8adbb

Observation 1311c4c7-8a0b-4451-94d9-6c1f59524ff5 · inbound

The Importance of Being Statistically Earnest: A Critical Re-evaluation of GSM-Symbolic cites this paper.

The Importance of Being Statistically Earnest: A Critical Re-evaluation of GSM-Symbolic Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 5

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malformed identifier
arxiv_id, observed 2026-06-29T12:23:24.470022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-29T12:16:43.880352Z digest=sha256:907909723131b8962627ac19e07c30d2f9a522825bc6629222f9e8bc9bf14765

Observation e8cd926c-a327-4004-8f9b-81512d93cca1 · inbound

The Shape of Addition: Geometric Structures of Arithmetic in Large Language Models cites this paper.

The Shape of Addition: Geometric Structures of Arithmetic in Large Language Models Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-06-28T23:52:49.757156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-06-28T23:45:16.789926Z digest=sha256:2bd2f977a00c9071a198be572180eb02f5fae138753265b317404eb68d1783fd

Observation 1c70fc10-c968-456f-8449-881a023c6e05 · inbound

Inside the LLM Word Factory cites this paper.

Inside the LLM Word Factory Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 26

Resolution
metadata mismatch
arxiv_id, observed 2026-07-02T23:17:29.469699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-06-27T18:22:17.403367Z digest=sha256:5a5c5355e724093aaf20491bca22d2f23ad546ef7a02420a49920285c3b01a1e

Observation a45c1808-d67d-48b1-9336-18b6c48798df · inbound

Variable-length Gray codes for the Natural Numbers cites this paper.

Variable-length Gray codes for the Natural Numbers Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T21:26:21.986538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:26:21.986538Z digest=sha256:6ad7c5ff9b305dd8f9fbb7487d7d0eff05a4c70bcc49b6eb3317a44a1459f0e5

Observation 9b4ec98f-2079-40c9-b1b6-17e0a5c92fb2 · inbound

From Data to Device: ELMOD An Efficient German-First 2.7B Language Model for Mobile Inference cites this paper.

From Data to Device: ELMOD An Efficient German-First 2.7B Language Model for Mobile Inference Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 35

Resolution
unresolved
no resolver link, observed 2026-07-31T11:19:35.624415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T11:19:35.624415Z digest=sha256:29c550d1604e016007cee891c47ed9d951374bd51af6fb47fb5d855d4651882e