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Paper Citation Record · LEDGER

Positional Description Matters for Transformers Arithmetic

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2311.14737.

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

pith.paper-citation-record.v1
2311.14737 v1

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 2026-08-12T06:34:41.77262+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T14:54:29.253358Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T03:12:28.699661Z

Reference resolution

0 of 0 outbound references displayed

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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 03df3bdd-9581-4fa4-ab17-0964b0239950 · 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 Positional Description Matters for Transformers Arithmetic

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-09T14:54:29.253358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:54:29.253358Z digest=sha256:ebea4fc42d9143e1aff5f2d05b7fc3c390b6d092297cbd0501bca67d0631bb99

Observation c9a8232f-e00c-44de-8223-7c30eedb9ef1 · inbound

Ignore the KL Penalty! Boosting Exploration on Critical Tokens to Enhance RL Fine-Tuning cites this paper.

Ignore the KL Penalty! Boosting Exploration on Critical Tokens to Enhance RL Fine-Tuning Positional Description Matters for Transformers Arithmetic

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-08T15:11:08.172446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T15:11:08.172446Z digest=sha256:a1a027e52efdd0b22a9e8a3d1c4360e58ca5ebbcbda850b323560af01b7989f9

Observation 2af610c9-6adf-4324-a9d8-c6170361ae72 · inbound

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

FoNE: Precise Single-Token Number Embeddings via Fourier Features Positional Description Matters for Transformers Arithmetic

Reference 38

Resolution
verified exact
arxiv_id, observed 2026-05-23T03:12:28.703411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-23T03:07:37.363965Z digest=sha256:51762dd4fc3a7593ec9d1b6aecdc67b0dcdb33fb01339257701a715d51e39671

Observation 7a215239-c687-43aa-aaaa-b184527bfd3f · inbound

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

Extrapolation by Association: Length Generalization Transfer in Transformers Positional Description Matters for Transformers Arithmetic

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-07T04:59:23.504423Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:59:23.504423Z digest=sha256:193e488e77718768d8fcad83835c55ed45b57783ad61a4552910166e53f34347

Observation 4dc9c142-d200-414c-91c6-8a17a778f5df · inbound

Learning Moderately Input-Sensitive Functions: A Case Study in QR Code Decoding cites this paper.

Learning Moderately Input-Sensitive Functions: A Case Study in QR Code Decoding Positional Description Matters for Transformers Arithmetic

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-06T22:59:58.973372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:59:58.973372Z digest=sha256:e8a07ccaed307f5fbadb03b16ec00b7d5e04d0642ca46cd7daf1c8a7b37decb0

Observation a4980c63-d8d7-4e6a-b0a6-8a5abb2b0da9 · inbound

DriveCode: Domain Specific Numerical Encoding for LLM-Based Autonomous Driving cites this paper.

DriveCode: Domain Specific Numerical Encoding for LLM-Based Autonomous Driving Positional Description Matters for Transformers Arithmetic

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-04T06:00:16.039812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T06:00:16.039812Z digest=sha256:5c8f6a34ebfbe7c463b2fc5358a01cc6fb5f681aaddd1c3ee41b23166a29401f

Observation 3e848814-53b6-4c64-b7fd-874fcd4bceeb · 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 Positional Description Matters for Transformers Arithmetic

Reference 24

Resolution
metadata mismatch
arxiv_id, observed 2026-05-14T21:17:58.782635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-14T21:16:40.430384Z digest=sha256:bfa39cba640af9e38cf35d8f2f60ae749d62f848ae0a6dcc5936db2a82b18327

Observation 776259b1-6f61-499f-bb3e-e785d4ffe93b · inbound

To See the Unseen: on the Generalization Ability of Transformers in Symbolic Reasoning cites this paper.

To See the Unseen: on the Generalization Ability of Transformers in Symbolic Reasoning Positional Description Matters for Transformers Arithmetic

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-09T22:49:15.798644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-09T22:18:14.788882Z digest=sha256:cfa3b4c42219ceb1c47601ce3a61b9b1daa8874f1796d5281de989f5f3d6f5e2

Observation 884553a8-df4d-473e-b80a-e90cb20336b4 · 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 Positional Description Matters for Transformers Arithmetic

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-01T18:53:11.313185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:53:11.313185Z digest=sha256:297b291110e2b16d20ed49be00edb77e0349aa1bc19e622d57e599181385d9f9