Paper Citation Record · LEDGER

Categorical Foundations of Gradient-Based Learning

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2103.01931.

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

pith.paper-citation-record.v1
2103.01931 v2

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 2026-08-18T06:34:40.430872+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:40:36.184633Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-24T11:29:24.648440Z

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 dcdecb6c-4761-4024-8e1c-805062181cef · inbound

Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension cites this paper.

Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Categorical Foundations of Gradient-Based Learning

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-24T11:29:24.651516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f455566a-4808-43e4-952a-8cbe8117cbea · inbound

FlashAttention on a Napkin: A Diagrammatic Approach to Deep Learning IO-Awareness cites this paper.

FlashAttention on a Napkin: A Diagrammatic Approach to Deep Learning IO-Awareness Categorical Foundations of Gradient-Based Learning

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T22:38:42.539824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 201b0fcf-61a4-43c5-aa68-2f270bb6e043 · inbound

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks cites this paper.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Categorical Foundations of Gradient-Based Learning

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T21:40:36.184633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2852aeac-7c10-478a-84af-17fc936a2f42 · inbound

Layered Monoidal Theories I: Diagrammatic Algebra and Applications cites this paper.

Layered Monoidal Theories I: Diagrammatic Algebra and Applications Categorical Foundations of Gradient-Based Learning

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T21:36:30.903810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.