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Paper Citation Record · LEDGER

Transformers Can Do Arithmetic with the Right Embeddings

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 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 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:17:47.704904Z

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

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  • verified fuzzy0
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  • malformed identifier0
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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 6c6e2380-d796-46a9-ac5d-246a334fc6f7 · inbound

Scaling Particle Collision Data Analysis cites this paper.

Scaling Particle Collision Data Analysis Transformers Can Do Arithmetic with the Right Embeddings

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-12T10:34:25.008252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:34:25.008252Z digest=sha256:1d6f5f1cc86677d9a597cbd5a5a16881e8cc3cefa86b915eb7cbc820bf537bf1

Observation 1f5789a1-d224-40e1-a5d8-e8bc5b1e7f6f · inbound

Precise Length Control in Large Language Models cites this paper.

Precise Length Control in Large Language Models Transformers Can Do Arithmetic with the Right Embeddings

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-11T14:30:11.155463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:30:11.155463Z digest=sha256:e22d9509d8e218f20857dc97801f6bee32aa3c828cfa53fe598eee446505a3e3

Observation 8d701146-9dca-4616-a30e-57c80de52513 · inbound

Self-guided Knowledgeable Network of Thoughts: Amplifying Reasoning with Large Language Models cites this paper.

Self-guided Knowledgeable Network of Thoughts: Amplifying Reasoning with Large Language Models Transformers Can Do Arithmetic with the Right Embeddings

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T10:34:24.977437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T10:34:24.977437Z digest=sha256:c6b833e53cf6657a2ea397274a21b2dca1b4b3b4bc56edd3cf0744123d13d4bf

Observation 2f5f56e6-19da-4e32-99fa-ceeb08d7b00b · inbound

IGC: Integrating a Gated Calculator into an LLM to Solve Arithmetic Tasks Reliably and Efficiently cites this paper.

IGC: Integrating a Gated Calculator into an LLM to Solve Arithmetic Tasks Reliably and Efficiently Transformers Can Do Arithmetic with the Right Embeddings

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-10T22:49:57.669100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:49:57.669100Z digest=sha256:279a193421fc4a87dec441ff732819d3ba575937cfba98c05f6b48200e4213d9

Observation 97589b45-4bd7-4e04-96b9-04863583da65 · inbound

Rethinking Addressing in Language Models via Contexualized Equivariant Positional Encoding cites this paper.

Rethinking Addressing in Language Models via Contexualized Equivariant Positional Encoding Transformers Can Do Arithmetic with the Right Embeddings

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-10T22:49:44.924374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:49:44.924374Z digest=sha256:3eff589fe881f93d88197e5be1b208bb2322df2115a5f1bf93a329cfad1f7de4

Observation 138228d4-d650-484f-b623-a2209c64fd55 · inbound

The role of positional encodings in the ARC benchmark cites this paper.

The role of positional encodings in the ARC benchmark Transformers Can Do Arithmetic with the Right Embeddings

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-09T19:59:12.448981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T19:59:12.448981Z digest=sha256:dbe9f219d7172a1170ff1aeeb56193abc658143cee3ddd66f4cf3c8e95dbd142

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=sha256:620dcdc8d6122247f43eb9e70ad45703e9ca4fb97190dcd9f310dee6253013d6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T03:07:37.363965Z digest=sha256:39e9381aad8b89b508db1e8f8073c904db8d5c332b8a7d621cfa5a94a59f2f05

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:be870449eeefba821860433c94579fd94d88a9c17796299298c7d8170b38522c

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:a6fd79246346ef29d5e0a330dccec350c85782dfe93707759ff35ac715c56458

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:db2b3c5136c9bdb58e4f86483eae3cca25403dc1095c96adcfd788b034819eef

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:d5b94633233f6bc3fcaf06b9503e0f039f9b32bfcd2547c2132040a45a65ddcc

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-07T16:36:19.729400Z digest=sha256:b65b5709656eb4dd15c7a46d95eff2bcdced0838942790d397486a4ea26d7940

Observation 1ac7a6e7-5c3e-4039-970a-fd576ab5c714 · inbound

Numeracy in Large Language Models: Fundamental Limitations and Paths to Improvement cites this paper.

Numeracy in Large Language Models: Fundamental Limitations and Paths to Improvement Transformers Can Do Arithmetic with the Right Embeddings

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-15T16:17:47.704904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:17:47.704904Z digest=sha256:a8358746d1258826797bea4354b9467e0d98e5a61f39efba31a5fbbc967f04ac