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Paper Citation Record · LEDGER

Transformers Can Do Arithmetic with the Right Embeddings

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2405.17399.

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

pith.paper-citation-record.v1
2405.17399 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T14:54:29.216958Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T03:12:28.791109Z

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 3663ccc7-1add-4d40-b05d-486a76230eb3 · inbound

Self-Improving Transformers Overcome Easy-to-Hard and Length Generalization Challenges cites this paper.

Self-Improving Transformers Overcome Easy-to-Hard and Length Generalization Challenges Transformers Can Do Arithmetic with the Right Embeddings

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-09T14:54:29.216958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:54:29.216958Z digest=sha256:dbcf72335452ff9cad390099e03f3843d0f8f590ecc389513df637daf08b5418

Observation c807c6e1-b0ba-49eb-af9b-3e94170d5986 · inbound

FoNE: Precise Single-Token Number Embeddings via Fourier Features cites this paper.

FoNE: Precise Single-Token Number Embeddings via Fourier Features Transformers Can Do Arithmetic with the Right Embeddings

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-05-23T03:12:28.794170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-23T03:07:37.363965Z digest=sha256:4744b6ce2679e4286d1a67f9b075111b19bff9fab4a49fa962c9612f00386615

Observation 4e8c3e48-40d4-4698-9263-e8f5be05db7e · inbound

(How) Can Transformers Predict Pseudo-Random Numbers? cites this paper.

(How) Can Transformers Predict Pseudo-Random Numbers? Transformers Can Do Arithmetic with the Right Embeddings

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T18:32:14.746603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T18:32:14.746603Z digest=sha256:6ccedf897af28b6cc5dd86a52c0eea7aa392230e4b531594ea66aec9534cc87a

Observation ec53643b-0ec3-463e-8512-a7b65201e533 · inbound

Extrapolation by Association: Length Generalization Transfer in Transformers cites this paper.

Extrapolation by Association: Length Generalization Transfer in Transformers Transformers Can Do Arithmetic with the Right Embeddings

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T04:59:22.551425Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:59:22.551425Z digest=sha256:02095e7288ea8213e6c1aac1cbb54d4077022e94d558300e22905d545556c460

Observation 3fa04146-cb6c-4860-b6c9-f962d1d1a8ff · inbound

Scaling Self-Supervised Representation Learning for Symbolic Piano Performance cites this paper.

Scaling Self-Supervised Representation Learning for Symbolic Piano Performance Transformers Can Do Arithmetic with the Right Embeddings

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-06T21:36:14.868726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:36:14.868726Z digest=sha256:56cbec8c047dbc7f7245d6134d7da8a2123d71c01593d20a66d1e207d9ff49b8

Observation 1e567117-99c0-477c-8198-9162891f8868 · inbound

Reverse Browser: Vector-Image-to-Code Generator cites this paper.

Reverse Browser: Vector-Image-to-Code Generator Transformers Can Do Arithmetic with the Right Embeddings

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-05T05:46:43.508337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:46:43.508337Z digest=sha256:ac8f5d0dd1a77e4c6dc6ba97d82e4646fe536f2fac54254c2d4e9118a285371f

Observation 1b8c14e5-4b67-4984-acc7-a0a3f2f7e193 · inbound

Training Transformers as a Universal Computer cites this paper.

Training Transformers as a Universal Computer Transformers Can Do Arithmetic with the Right Embeddings

Reference 14

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T23:36:38.650333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-07T16:36:19.729400Z digest=sha256:a9d7d7ec6fcf3c173235b5ccad17745e8e20d67964b3f63d844b7c8d67ee7517