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Paper Citation Record · LEDGER

Pre-trained Large Language Models Use Fourier Features to Compute Addition

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2406.03445.

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

pith.paper-citation-record.v1
2406.03445 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:45:19.739427Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T03:12:28.642127Z

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 563b3f4b-9e7c-4070-b586-a3c6703f6b8b · inbound

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

FoNE: Precise Single-Token Number Embeddings via Fourier Features Pre-trained Large Language Models Use Fourier Features to Compute Addition

Reference 49

Resolution
verified exact
arxiv_id, observed 2026-05-23T03:12:28.645697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:07:37.363965Z digest=sha256:37ca625f738866f51d4cf7be3c5f9ed57356c3d69d90c8884207736e4dc338af

Observation d5ed896f-4392-4c97-b432-84b3383974fe · inbound

Block Circulant Adapter for Large Language Models cites this paper.

Block Circulant Adapter for Large Language Models Pre-trained Large Language Models Use Fourier Features to Compute Addition

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-16T04:45:19.739427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:45:19.739427Z digest=sha256:4d9f4f8ef62c9be42cd5b8c2dfca3b820d85b12fa7f29e0a2873c2ef494940c1

Observation 23e470d9-494f-4ca0-847e-47ff2cb4e4a5 · inbound

$K$-MSHC: Unmasking Minimally Sufficient Head Circuits in Large Language Models with Experiments on Syntactic Classification Tasks cites this paper.

$K$-MSHC: Unmasking Minimally Sufficient Head Circuits in Large Language Models with Experiments on Syntactic Classification Tasks Pre-trained Large Language Models Use Fourier Features to Compute Addition

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-15T20:41:57.857103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:41:57.857103Z digest=sha256:8df2aeef3b704600fe21d4942d3c26f6655c28558c6be72d36dc43a8c738ed07

Observation e1a8a898-d286-473f-9ccc-4fb30fe9bc23 · inbound

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

Reverse Browser: Vector-Image-to-Code Generator Pre-trained Large Language Models Use Fourier Features to Compute Addition

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-05T05:46:43.810666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:46:43.810666Z digest=sha256:635e62a5225dcd8c4f3e6ffb6bd8720a6a0d225a64b933268cefcfe77efd6ec0

Observation f2cdb43e-2724-4b8d-aa9b-f89645c1daad · inbound

All for One: LLMs Solve Mental Math at the Last Token With Information Transferred From Other Tokens cites this paper.

All for One: LLMs Solve Mental Math at the Last Token With Information Transferred From Other Tokens Pre-trained Large Language Models Use Fourier Features to Compute Addition

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-04T18:50:56.742451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T18:50:56.742451Z digest=sha256:a62dda54699d0a7431303a6facca91c411d62f4bc820ee00ccbfb4d1b9ead123