Paper Citation Record · LEDGER

Implicit Regularization of Gradient Flow on One-Layer Softmax Attention

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2403.08699.

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

pith.paper-citation-record.v1
2403.08699 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:12:43.098087Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T13:18:13.073513Z

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 ee85c82c-8ac2-43be-bc0f-a5588a800f5c · inbound

Training Dynamics of In-Context Learning in Linear Attention cites this paper.

Training Dynamics of In-Context Learning in Linear Attention Implicit Regularization of Gradient Flow on One-Layer Softmax Attention

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-10T13:42:09.083522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 132ff93b-ef9f-4524-bae8-bd34f1a0fe80 · inbound

Revisiting Transformers through the Lens of Low Entropy and Dynamic Sparsity cites this paper.

Revisiting Transformers through the Lens of Low Entropy and Dynamic Sparsity Implicit Regularization of Gradient Flow on One-Layer Softmax Attention

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-16T10:12:43.098087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 439fd820-6ffa-4b94-a19f-4ca19600d8d0 · inbound

How Transformers Learn Regular Language Recognition: A Theoretical Study on Training Dynamics and Implicit Bias cites this paper.

How Transformers Learn Regular Language Recognition: A Theoretical Study on Training Dynamics and Implicit Bias Implicit Regularization of Gradient Flow on One-Layer Softmax Attention

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T04:39:55.082521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45ae718b-f03c-426c-b383-016694ffc47b · inbound

Breaking the Reversal Curse in Autoregressive Language Models via Identity Bridge cites this paper.

Breaking the Reversal Curse in Autoregressive Language Models via Identity Bridge Implicit Regularization of Gradient Flow on One-Layer Softmax Attention

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T05:27:44.263067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2926e020-9ae0-4417-99ff-7d93542da6e2 · inbound

Federated LoRA Fine-Tuning for LLMs via Collaborative Alignment cites this paper.

Federated LoRA Fine-Tuning for LLMs via Collaborative Alignment Implicit Regularization of Gradient Flow on One-Layer Softmax Attention

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-21T01:49:23.005430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cca45b86-059e-4452-bcf7-88b8bcb4ecea · inbound

Phase Transitions in Attention: A Bayesian Theory of Copy Head Emergence cites this paper.

Phase Transitions in Attention: A Bayesian Theory of Copy Head Emergence Implicit Regularization of Gradient Flow on One-Layer Softmax Attention

Reference 61

Resolution: verified exact; arxiv_id, observed 2026-07-03T13:18:13.075370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d3e20e60-ca8a-425f-b47d-55c35bffbeed · inbound

Frontier Language Models Struggle to Copy: Text Can Be Better Viewed in 2D cites this paper.

Frontier Language Models Struggle to Copy: Text Can Be Better Viewed in 2D Implicit Regularization of Gradient Flow on One-Layer Softmax Attention

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-01T21:31:01.569347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.