Paper Citation Record · LEDGER

Understanding Addition and Subtraction in Transformers

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2402.02619.

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

pith.paper-citation-record.v1
2402.02619 v11

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 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 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:59:23.268938Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T03:06:30.340900Z

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 49e6a529-0013-4ec1-a89d-15310ee7de78 · inbound

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

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

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:23.268938Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3994009e-ae11-4ebe-b032-c00a624e06e5 · 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 and Subtraction in Transformers

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-07-24T01:22:55.194042Z

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.

Observation 692ad4d8-19ea-4bd5-9809-401dbb7b13d6 · inbound

Arithmetic in the Wild: Llama uses Base-10 Addition to Reason About Cyclic Concepts cites this paper.

Arithmetic in the Wild: Llama uses Base-10 Addition to Reason About Cyclic Concepts Understanding Addition and Subtraction in Transformers

Reference 144

Resolution: verified exact; arxiv_id, observed 2026-07-24T01:22:55.194042Z

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.

Observation a5a77fee-aa74-43e5-8527-e1361334491f · inbound

Manifold Steering Reveals the Shared Geometry of Neural Network Representation and Behavior cites this paper.

Manifold Steering Reveals the Shared Geometry of Neural Network Representation and Behavior Understanding Addition and Subtraction in Transformers

Reference 139

Resolution: verified exact; arxiv_id, observed 2026-07-24T01:22:55.194042Z

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.

Observation 3ac383ef-2b3c-4a9e-9e94-18a5371fcf47 · inbound

Dynamic Latent Routing cites this paper.

Dynamic Latent Routing Understanding Addition and Subtraction in Transformers

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-07-24T01:22:55.194042Z

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.

Observation 2efe1232-b36f-4768-aa62-4a314461c4ed · inbound

Represented Is Not Computed: A Causal Test of Candidate Algorithmic Intermediates in a Transformer cites this paper.

Represented Is Not Computed: A Causal Test of Candidate Algorithmic Intermediates in a Transformer Understanding Addition and Subtraction in Transformers

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-07-24T01:22:55.194042Z

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.

Observation 2e562848-aacd-4504-9d16-771afb5bfb87 · inbound

The Shape of Addition: Geometric Structures of Arithmetic in Large Language Models cites this paper.

The Shape of Addition: Geometric Structures of Arithmetic in Large Language Models Understanding Addition and Subtraction in Transformers

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-07-24T01:22:55.194042Z

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.

Observation 2727d9bb-ef9f-499d-944e-5a5528268a3d · inbound

Language Models Compare Quantities Using Number-specific and Unit-specific Heuristics cites this paper.

Language Models Compare Quantities Using Number-specific and Unit-specific Heuristics Understanding Addition and Subtraction in Transformers

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-07-24T01:22:55.194042Z

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.