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Paper Citation Record · LEDGER

Language Models Encode Numbers Using Digit Representations in Base 10

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2410.11781.

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

pith.paper-citation-record.v1
2410.11781 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:31:47.857812Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T05:02:54.428405Z

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 0e9362f7-caa4-459a-91e8-67223dd4b7e1 · inbound

Unraveling Arithmetic in Large Language Models: The Role of Algebraic Structures cites this paper.

Unraveling Arithmetic in Large Language Models: The Role of Algebraic Structures Language Models Encode Numbers Using Digit Representations in Base 10

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-12T13:31:47.857812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:31:47.857812Z digest=sha256:c3005f398368bf9a97c8b60acf3fdb0f5fdd15fd75faa649d5b5820970c73ce6

Observation 499353d4-7a5d-4fd1-98d4-35fc525a25aa · inbound

Language Models Use Trigonometry to Do Addition cites this paper.

Language Models Use Trigonometry to Do Addition Language Models Encode Numbers Using Digit Representations in Base 10

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-09T17:29:00.168302Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T17:29:00.168302Z digest=sha256:11689ff48b2ff79f2cef1cf7b93d347aaae12cd7d01f58ca159bb3f7ef962bfd

Observation 8b57101c-0a3a-4c86-a3a5-29816eb55bd3 · inbound

Modular Arithmetic: Language Models Solve Math Digit by Digit cites this paper.

Modular Arithmetic: Language Models Solve Math Digit by Digit Language Models Encode Numbers Using Digit Representations in Base 10

Reference 10

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T05:02:54.483401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T05:02:53.209837Z digest=sha256:e7b8fcef00c4a5147ad733d7a60196e1ecab7ea3fe6fbc2ad636c5bde106e677

Observation 982c801c-e7bb-4dbc-b2ab-386f91f36a7a · inbound

Discovery and recovery of crystalline materials with property-conditioned transformers cites this paper.

Discovery and recovery of crystalline materials with property-conditioned transformers Language Models Encode Numbers Using Digit Representations in Base 10

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-03T20:04:40.410502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T20:04:40.410502Z digest=sha256:d0eb44abc9652849e4ec4f9aaa72e3b52b7ecb3a1a76e2df2bda7b6ee0e48dc7