Paper Citation Record · LEDGER

Directional Non-Commutative Monoidal Embeddings for MNIST

As of 9 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:2506.03472.

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

pith.paper-citation-record.v1
2506.03472 v1

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:07:47.046106Z

measured 4 of 4 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 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

4 of 4 outbound references displayed

verified exact1
verified fuzzy2
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6405777f-400b-4db7-b120-71e46f7bd831 · outbound

This paper cites Directional Non-Commutative Monoidal Structures for Compositional Embeddings in Machine Learning.

Directional Non-Commutative Monoidal Embeddings for MNIST Directional Non-Commutative Monoidal Structures for Compositional Embeddings in Machine Learning

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T11:07:46.645351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3625cada-ee27-4faf-a4d0-a59e5a8f189b · outbound

This paper cites Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators.

Directional Non-Commutative Monoidal Embeddings for MNIST Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:07:47.362311Z

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 a5afc135-d360-4c13-9264-92544edffbb8 · outbound

This paper cites Oppenheim and Ronald W.

Directional Non-Commutative Monoidal Embeddings for MNIST Oppenheim and Ronald W

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:07:47.930824Z

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 319d846c-1b49-4002-b8ad-da9ca0771304 · outbound

This paper cites Gradient- based learning applied to document recognition.

Directional Non-Commutative Monoidal Embeddings for MNIST Gradient- based learning applied to document recognition

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:07:47.659663Z

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.

Pith citing papers

No inbound Pith citation observations are available.