Paper Citation Record · LEDGER

Neural Networks as Kernel Learners: The Silent Alignment Effect

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:2111.00034.

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

pith.paper-citation-record.v1
2111.00034 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T19:58:25.917872Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T08:19:44.454657Z

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 b0430263-04f5-4855-ae3f-fd4448a80077 · inbound

Parameter Symmetry Potentially Unifies Deep Learning Theory cites this paper.

Parameter Symmetry Potentially Unifies Deep Learning Theory Neural Networks as Kernel Learners: The Silent Alignment Effect

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-08T19:58:25.917872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 216b74cb-9053-4a67-8641-b8abc2a81482 · inbound

Adaptive kernel predictors from feature-learning infinite limits of neural networks cites this paper.

Adaptive kernel predictors from feature-learning infinite limits of neural networks Neural Networks as Kernel Learners: The Silent Alignment Effect

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-08T11:19:06.832965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87e262b4-a751-4149-ad5b-0d4521f6d09d · inbound

Random at First, Fast at Last: NTK-Guided Fourier Pre-Processing for Tabular DL cites this paper.

Random at First, Fast at Last: NTK-Guided Fourier Pre-Processing for Tabular DL Neural Networks as Kernel Learners: The Silent Alignment Effect

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T11:29:46.756627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34199f6a-2837-48d0-ba7c-cadc315131cf · inbound

Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens cites this paper.

Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens Neural Networks as Kernel Learners: The Silent Alignment Effect

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T19:40:35.800038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbfeef19-6c34-4cb9-946c-fd49f519234d · inbound

Feature Identification via the Empirical NTK cites this paper.

Feature Identification via the Empirical NTK Neural Networks as Kernel Learners: The Silent Alignment Effect

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-18T11:01:16.949102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 28ceae22-1863-4783-851f-de71d803ff70 · inbound

Unifying Learning Dynamics and Generalization in Transformers Scaling Law cites this paper.

Unifying Learning Dynamics and Generalization in Transformers Scaling Law Neural Networks as Kernel Learners: The Silent Alignment Effect

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-03T14:02:56.614840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1501657e-399c-4911-81b9-04724a69ef05 · inbound

Universal One-third Time Scaling in Learning Peaked Distributions cites this paper.

Universal One-third Time Scaling in Learning Peaked Distributions Neural Networks as Kernel Learners: The Silent Alignment Effect

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T05:01:10.580730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b47c06d-4eaf-42f5-bba5-271279005128 · inbound

Dynamics and Representation Structure of Local Approximations to Gradient-Based Learning in Linear Recurrent Neural Networks cites this paper.

Dynamics and Representation Structure of Local Approximations to Gradient-Based Learning in Linear Recurrent Neural Networks Neural Networks as Kernel Learners: The Silent Alignment Effect

Reference 18

Resolution: metadata mismatch; arxiv_id, observed 2026-06-28T19:22:34.568180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3a635754-2dd4-4d84-9054-d1767780a42f · inbound

Channel Location Constrains the Auditability of Subliminal Learning cites this paper.

Channel Location Constrains the Auditability of Subliminal Learning Neural Networks as Kernel Learners: The Silent Alignment Effect

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-07-04T08:19:44.455933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cf5dd220-8915-4a11-9907-227f003bef10 · inbound

Implicit Bias of SGD in Multivariate ReLU Networks: Effective Width Collapse cites this paper.

Implicit Bias of SGD in Multivariate ReLU Networks: Effective Width Collapse Neural Networks as Kernel Learners: The Silent Alignment Effect

Reference 276

Resolution: unresolved; no resolver link, observed 2026-07-12T01:11:50.444218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64077153-a916-42d5-aa27-9b9f0b7d5ce2 · inbound

Dataset Distillation by Influence Matching cites this paper.

Dataset Distillation by Influence Matching Neural Networks as Kernel Learners: The Silent Alignment Effect

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T19:49:20.540913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2641fffc-79d5-4a89-9ec1-5b096766c5b3 · inbound

A Defense of the Quadratic Model cites this paper.

A Defense of the Quadratic Model Neural Networks as Kernel Learners: The Silent Alignment Effect

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:09.806671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.