Paper Citation Record · LEDGER

Unveiling Induction Heads: Provable Training Dynamics and Feature Learning in Transformers

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2409.10559.

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

pith.paper-citation-record.v1
2409.10559 v1

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 2026-08-07T06:34:17.273281+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:46:34.250512Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T07:06:44.923754Z

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 b134bc0c-7e37-4fb7-824d-df2c5462488e · inbound

Learning Compositional Functions with Transformers from Easy-to-Hard Data cites this paper.

Learning Compositional Functions with Transformers from Easy-to-Hard Data Unveiling Induction Heads: Provable Training Dynamics and Feature Learning in Transformers

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T12:46:34.250512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3c186f9-43e5-4d34-81ae-1abd813bc99b · inbound

A Survey on Latent Reasoning cites this paper.

A Survey on Latent Reasoning Unveiling Induction Heads: Provable Training Dynamics and Feature Learning in Transformers

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T19:14:22.935329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b530587-a979-456d-87d1-5643f5b9a15a · inbound

Agentic Transformers Provably Learn to Search via Reinforcement Learning cites this paper.

Agentic Transformers Provably Learn to Search via Reinforcement Learning Unveiling Induction Heads: Provable Training Dynamics and Feature Learning in Transformers

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-06-28T23:42:49.925837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6f20b3ba-50e7-41d0-b103-bfa5c7952806 · inbound

Why Muon Outperforms Adam: A Curvature Perspective cites this paper.

Why Muon Outperforms Adam: A Curvature Perspective Unveiling Induction Heads: Provable Training Dynamics and Feature Learning in Transformers

Reference 61

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.925493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.