Paper Citation Record · LEDGER

Limitations of Language Models in Arithmetic and Symbolic Induction

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2208.05051.

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

pith.paper-citation-record.v1
2208.05051 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 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 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:39:30.197243Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-28T23:42:49.966390Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

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 3ab186bd-2eb6-43ab-b008-552b1e62697b · inbound

PAL: Program-aided Language Models cites this paper.

PAL: Program-aided Language Models Limitations of Language Models in Arithmetic and Symbolic Induction

Reference 32

Resolution: metadata mismatch; arxiv_id, observed 2026-05-15T05:02:50.349194Z

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.

Observation 330e1729-6344-4b03-b097-272f7f321b77 · inbound

A Group Theoretic Analysis of the Symmetries Underlying Base Addition and Their Learnability by Neural Networks cites this paper.

A Group Theoretic Analysis of the Symmetries Underlying Base Addition and Their Learnability by Neural Networks Limitations of Language Models in Arithmetic and Symbolic Induction

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T17:39:30.197243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1db8962-71b0-47ee-bc6a-561b24b96251 · inbound

PiERN: Token-Level Routing for Integrating High-Precision Computation and Reasoning cites this paper.

PiERN: Token-Level Routing for Integrating High-Precision Computation and Reasoning Limitations of Language Models in Arithmetic and Symbolic Induction

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-18T16:06:34.883624Z

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.

Observation 44af691d-9aea-4601-a2bf-141a422288c9 · inbound

Agentic Transformers Provably Learn to Search via Reinforcement Learning cites this paper.

Agentic Transformers Provably Learn to Search via Reinforcement Learning Limitations of Language Models in Arithmetic and Symbolic Induction

Reference 10

Resolution: metadata mismatch; arxiv_id, observed 2026-06-28T23:42:49.967736Z

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.

Observation 6af592cb-4a53-451c-a2e5-2f79e4373d19 · inbound

Explaining and Tuning Transformer-based LLMs in Arithmetic Tasks with Human Strategies cites this paper.

Explaining and Tuning Transformer-based LLMs in Arithmetic Tasks with Human Strategies Limitations of Language Models in Arithmetic and Symbolic Induction

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T18:53:10.766055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.