Paper Citation Record · LEDGER

Learning the greatest common divisor: explaining transformer predictions

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2308.15594.

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

pith.paper-citation-record.v1
2308.15594 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T18:32:13.078022Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T05:59:41.179177Z

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 ddee2056-8967-452b-9b53-582b6a566c79 · inbound

Learning Euler Factors of Elliptic Curves cites this paper.

Learning Euler Factors of Elliptic Curves Learning the greatest common divisor: explaining transformer predictions

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T18:32:13.078022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc7cda93-b047-4ab4-9a59-d72a9f11b882 · inbound

Uncovering a Universal Abstract Algorithm for Modular Addition in Neural Networks cites this paper.

Uncovering a Universal Abstract Algorithm for Modular Addition in Neural Networks Learning the greatest common divisor: explaining transformer predictions

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T14:40:56.780389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddaae4a9-73af-409e-9528-38c59c6281c3 · 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 Learning the greatest common divisor: explaining transformer predictions

Reference 6

Resolution: metadata mismatch; arxiv_id, observed 2026-05-14T21:17:58.902886Z

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.

Observation 6c60ed5e-5492-42a1-8e26-fd4d22bf5af3 · inbound

Learning First Integrals via Backward-Generated Data and Guided Reinforcement Learning cites this paper.

Learning First Integrals via Backward-Generated Data and Guided Reinforcement Learning Learning the greatest common divisor: explaining transformer predictions

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-21T05:59:41.180944Z

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.