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Paper Citation Record · LEDGER

Deep Networks are Reproducing Kernel Chains

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2501.03697.

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

pith.paper-citation-record.v1
2501.03697 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 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 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T13:43:13.278402Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T17:18:43.419036Z

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 209d2af4-5aa6-4bb7-b5d7-5cbdb26fc5fb · inbound

Vector-Valued Reproducing Kernel Banach Spaces for Neural Networks and Operators cites this paper.

Vector-Valued Reproducing Kernel Banach Spaces for Neural Networks and Operators Deep Networks are Reproducing Kernel Chains

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-04T13:43:13.278402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T13:43:13.278402Z digest=sha256:4b63b3b0d00a9da6b1a2ef5bef23552cfb7e9ddc3557a5f4f5e9e91004b7d4d8

Observation 18e699a8-c1f6-439b-8e92-5a36a90c0feb · inbound

Implicit Bias of Mirror Flow in Homogeneous Neural Networks: Sparse and Dense Feature Learning cites this paper.

Implicit Bias of Mirror Flow in Homogeneous Neural Networks: Sparse and Dense Feature Learning Deep Networks are Reproducing Kernel Chains

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-20T07:18:06.885914Z

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.

source=pdf_text observed=2026-05-20T07:15:30.523007Z digest=sha256:f1899911af0441f4978772f85baa9f363162f5fb95c0b6256850a757f2ba221f

Observation 73fdb618-7be7-4c41-bf43-d5bb2cfead95 · inbound

Representation Costs in Data Science: Foundations and the Quasi-Banach Spaces of Deep Neural Networks cites this paper.

Representation Costs in Data Science: Foundations and the Quasi-Banach Spaces of Deep Neural Networks Deep Networks are Reproducing Kernel Chains

Reference 68

Resolution
verified exact
arxiv_id, observed 2026-07-03T17:18:43.420815Z

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.

source=pdf_text observed=2026-06-27T04:24:23.138990Z digest=sha256:09f16ca26b9ae3e51c03eabfcb3618cebba4bf0794e06a63a4701a1332375674

Observation f03accdf-96cd-405a-af94-2f2a3f2a3121 · inbound

Representation Costs in Data Science: Foundations and the Quasi-Banach Spaces of Deep Neural Networks cites this paper.

Representation Costs in Data Science: Foundations and the Quasi-Banach Spaces of Deep Neural Networks Deep Networks are Reproducing Kernel Chains

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-02T11:32:37.429825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T11:32:37.429825Z digest=sha256:7d1df9d04e5a43c716db4800c2c033f7630a085a08d3230630af28681a9647c2

Observation 00124186-0228-4bef-9825-19a78268fd58 · inbound

Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity cites this paper.

Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Deep Networks are Reproducing Kernel Chains

Reference 19

Resolution
unresolved
no resolver link, observed 2026-07-11T06:01:25.773672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T06:01:25.773672Z digest=sha256:c63f3732e53cee0ba13d0ff60809749673ea762c4e69c64df0d46206cc05d232