Paper Citation Record · LEDGER

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model

As of 11 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2605.21292.

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

pith.paper-citation-record.v1
2605.21292 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-21T03:50:43.744189Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

29 of 29 outbound references displayed

verified exact5
verified fuzzy16
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f5d209e1-5601-4424-844f-0e06e7549681 · outbound

This paper cites Agarwala, F.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Agarwala, F

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.928482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bdd73763-e1bb-4e45-a816-2ceab5aa52e8 · outbound

This paper cites Arora, Z.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Arora, Z

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.943368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1d8415ba-7b8d-424d-82d1-ea87533ef884 · outbound

This paper cites Chen and J.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Chen and J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.930502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d4fb99a7-3ab1-4129-9b1d-1c562c2dbf86 · outbound

This paper cites an unresolved cited work.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-21T03:54:31.932515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e7a35c0b-6cda-44f4-99ea-2db1ff6314fb · outbound

This paper cites Cohen, S.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Cohen, S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.934356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5ea17e0b-1bf7-4d11-a7ee-44162f2fddd9 · outbound

This paper cites Damian, E.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Damian, E

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.936364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b3b19251-28bc-4501-a3f6-9b6c412c0732 · outbound

This paper cites an unresolved cited work.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-05-21T03:54:31.938089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 983885b9-19bc-40ac-b019-3ca990ae1752 · outbound

This paper cites Gilmer, B.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Gilmer, B

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.922460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6fd1fdbb-de70-4451-a651-f33f353957d4 · outbound

This paper cites Herrmann, M.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Herrmann, M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.924479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b51800bb-ebf5-4b23-a801-d8fc0c630322 · outbound

This paper cites Kodryan, E.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Kodryan, E

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.926598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 53651514-6e85-46ac-9462-31e468b4cc65 · outbound

This paper cites Kong and M.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Kong and M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.913473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d622889e-88bb-4c7b-a0d8-efc3a61dd255 · outbound

This paper cites The large learning rate phase of deep learning: the catapult mechanism.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model The large learning rate phase of deep learning: the catapult mechanism

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-21T03:53:56.329810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4c3c99f1-ca06-4919-85ba-8321b7375674 · outbound

This paper cites Liang and G.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Liang and G

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.920689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation dd47994d-6d3b-449a-a8b8-88eec03d2ec7 · outbound

This paper cites Lobacheva, M.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Lobacheva, M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.940576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7e81b792-66a6-48a9-ab5f-cf3553860d16 · outbound

This paper cites an unresolved cited work.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Unresolved cited work

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-21T03:53:56.123528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6b683292-5b24-439b-80fd-83bd99316e61 · outbound

This paper cites an unresolved cited work.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-05-21T03:53:56.125643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 91e3ef30-65cb-4858-ae65-0cca4258bddc · outbound

This paper cites Song and C.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Song and C

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.905923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4f34c2fd-964c-446a-a1bc-98c45164c2e1 · outbound

This paper cites an unresolved cited work.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-05-21T03:54:31.911550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ecba862e-689e-45a9-bdd4-b31f835b838a · outbound

This paper cites an unresolved cited work.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-05-21T03:54:31.899755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8793b784-a621-4a2d-843d-9b08cde2db7e · outbound

This paper cites Wortsman, P.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Wortsman, P

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.909706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 965f02d2-fb2b-437c-b4cd-7458c5415c68 · outbound

This paper cites an unresolved cited work.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-21T03:54:31.895611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d82ddbac-7e15-4db4-83ba-8f9fb95c6f81 · outbound

This paper cites an unresolved cited work.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-05-21T03:54:31.916015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 42d4ffa1-cfe9-40c3-8cb2-c3ce4d16f8aa · outbound

This paper cites Large stepsizes accelerate gradient descent for regularized logistic regression.arXiv preprint arXiv:2506.02336, 2025.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Large stepsizes accelerate gradient descent for regularized logistic regression.arXiv preprint arXiv:2506.02336, 2025

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-21T03:53:56.332902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 19ab1d80-9d67-4d59-a516-132dc6fbf638 · outbound

This paper cites Zhang, H.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Zhang, H

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.918367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1a36811b-dc62-4ba2-be37-6ffa5074c777 · outbound

This paper cites Zhang, S.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Zhang, S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.901977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9547e8c0-9bff-40d4-90d2-27e0efbf1716 · outbound

This paper cites Zhang, J.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Zhang, J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T03:54:31.897615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0cd64b23-46ab-4cc5-9a2c-20647501fa09 · outbound

This paper cites Minimax Optimal Convergence of Gradient Descent in Logistic Regression via Large and Adaptive Stepsizes.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Minimax Optimal Convergence of Gradient Descent in Logistic Regression via Large and Adaptive Stepsizes

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-21T03:53:56.335715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b01e7d67-bf23-4204-b131-5071bdca4b56 · outbound

This paper cites an unresolved cited work.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-05-21T03:54:31.903886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6b9a881a-7b5b-4ea9-a771-998979ffe7b0 · outbound

This paper cites an unresolved cited work.

Large-Step Training Dynamics of a Two-Factor Linear Transformer Model Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-05-21T03:54:31.907800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.