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Paper Citation Record · LEDGER

Understanding Addition in Transformers

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2310.13121.

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

pith.paper-citation-record.v1
2310.13121 v9

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 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 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T18:32:13.542776Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 601c39fe-7a89-4767-8142-bb0be25c4437 · inbound

Learning Euler Factors of Elliptic Curves cites this paper.

Learning Euler Factors of Elliptic Curves Understanding Addition in Transformers

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T18:32:13.542776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T18:32:13.542776Z digest=sha256:13f6fa8ac0346f17bd56136a1929d021cb8f1fe361a0eb1a8851818136109c3e

Observation 0a6dd0fc-2ec8-49df-b36d-685a7f6506f8 · inbound

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

Extrapolation by Association: Length Generalization Transfer in Transformers Understanding Addition in Transformers

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-07T04:59:23.183727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:59:23.183727Z digest=sha256:7909d34e8294c777d9aff1635d9bef156db7fde964b313861104cf2db3b4dcf8

Observation 4d163c25-3840-4b6a-8b86-e27ea4ba04fa · inbound

Path Channels and Plan Extension Kernels: a Mechanistic Description of Planning in a Sokoban RNN cites this paper.

Path Channels and Plan Extension Kernels: a Mechanistic Description of Planning in a Sokoban RNN Understanding Addition in Transformers

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-07T04:42:27.905586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:42:27.905586Z digest=sha256:6e2d54b13a9624337bdc0d9be21f18b08df350fffb013a0326e9286a75252aba

Observation 2d073216-1248-46df-8b05-38a376255ec3 · inbound

ExploreGS: Explorable 3D Scene Reconstruction with Virtual Camera Samplings and Diffusion Priors cites this paper.

ExploreGS: Explorable 3D Scene Reconstruction with Virtual Camera Samplings and Diffusion Priors Understanding Addition in Transformers

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-05T23:01:47.432900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T23:01:47.432900Z digest=sha256:b36849a29dd225bf18c7da6712c01ac8f374657bbfe3092bb30978101f89459f

Observation 6940838b-e8ae-496f-979d-5321bf2780f1 · inbound

The Long Delay to Arithmetic Generalization: When Learned Representations Outrun Behavior cites this paper.

The Long Delay to Arithmetic Generalization: When Learned Representations Outrun Behavior Understanding Addition in Transformers

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:17:58.789633Z

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=2026-05-14T21:16:40.430384Z digest=sha256:60bda640b04e71452ef47171683dec56b19f9b92c17d55a2cf58d34555c6b6c6

Observation 2cfdbad5-41c3-43f0-ae7e-660a6f3d0948 · inbound

Generalization in LLM Problem Solving: The Case of the Shortest Path cites this paper.

Generalization in LLM Problem Solving: The Case of the Shortest Path Understanding Addition in Transformers

Reference 40

Resolution
metadata mismatch
arxiv_id, observed 2026-05-10T10:39:38.015593Z

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=2026-05-10T10:37:45.355872Z digest=sha256:68b5cd058d13d3e16aa83917059fd64d7481ed6abb700c0c60bf86db034b7881

Observation c6352d34-e038-4164-bbfe-5ff22fd880ef · inbound

Correcting Influence: Unboxing LLM Outputs with Orthogonal Latent Spaces cites this paper.

Correcting Influence: Unboxing LLM Outputs with Orthogonal Latent Spaces Understanding Addition in Transformers

Reference 97

Resolution
metadata mismatch
arxiv_id, observed 2026-05-14T20:17:54.689430Z

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=2026-05-14T20:17:01.224864Z digest=sha256:e2d746035a65182efcde283bb362966b79587bc40ab4115af8ac5d7fba3f3c32

Observation 9934cb06-e007-4d70-9d96-accda0cc88fb · inbound

Pretraining Curricula Enable Selective Fine-tuning cites this paper.

Pretraining Curricula Enable Selective Fine-tuning Understanding Addition in Transformers

Reference 49

Resolution
unresolved
no resolver link, observed 2026-07-11T12:36:24.747752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T12:36:24.747752Z digest=sha256:245ec14719c38fa8a4a0fbeb3d92155fa01d11d334afa969f66c5c0cc5cf2308

Observation 540761a0-4bfb-4eed-998f-8725c76cac9a · 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 Understanding Addition in Transformers

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-01T18:53:11.188427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:53:11.188427Z digest=sha256:f8a541aad6b29e954b5a38ad003e2c7ea55ae6c8f458658e225b11c7d98ab5d0