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Paper Citation Record · LEDGER

Are Transformers with One Layer Self-Attention Using Low-Rank Weight Matrices Universal Approximators?

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2307.14023.

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

pith.paper-citation-record.v1
2307.14023 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:49:39.606729Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T10:29:44.325402Z

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 dcb8e094-1582-46e3-a39a-aa287aa80415 · inbound

Understanding Factual Recall in Transformers via Associative Memories cites this paper.

Understanding Factual Recall in Transformers via Associative Memories Are Transformers with One Layer Self-Attention Using Low-Rank Weight Matrices Universal Approximators?

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-11T19:41:31.784776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:41:31.784776Z digest=sha256:0bea07edab761801afb8ed698c73bd837979adbd2fe7174c01708d89ea6fe9bc

Observation 0a54420d-e062-4547-a14d-f7cd99503ed5 · inbound

Attention Mechanism, Max-Affine Partition, and Universal Approximation cites this paper.

Attention Mechanism, Max-Affine Partition, and Universal Approximation Are Transformers with One Layer Self-Attention Using Low-Rank Weight Matrices Universal Approximators?

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-16T05:49:39.606729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:49:39.606729Z digest=sha256:59b314d57f90ac4605388598ae2581ae4d599344c1df8b3048fe3790e0bca9e6

Observation 826301cb-e573-4121-bba2-e1db4ad29938 · inbound

Minimalist Softmax Attention Provably Learns Constrained Boolean Functions cites this paper.

Minimalist Softmax Attention Provably Learns Constrained Boolean Functions Are Transformers with One Layer Self-Attention Using Low-Rank Weight Matrices Universal Approximators?

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-07T14:21:01.122910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:21:01.122910Z digest=sha256:faad9d01681605830be4fed11ec24b9898e691056195728666db8c750fffedee

Observation 9522d1fd-1b49-4d0b-860c-5c4098e0af94 · inbound

Transformer Approximations from ReLUs cites this paper.

Transformer Approximations from ReLUs Are Transformers with One Layer Self-Attention Using Low-Rank Weight Matrices Universal Approximators?

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-11T21:51:30.221196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-08T04:02:37.785615Z digest=sha256:bcef0bd402b4be5764595d145ea98aae9647b089f511393f6a087d080c82f213

Observation 59b473ed-536e-41a5-bab9-36ed51907084 · inbound

Convergence of Gradient Descent for General Neural Network Architectures Beyond the NTK Regime cites this paper.

Convergence of Gradient Descent for General Neural Network Architectures Beyond the NTK Regime Are Transformers with One Layer Self-Attention Using Low-Rank Weight Matrices Universal Approximators?

Reference 111

Resolution
verified exact
arxiv_id, observed 2026-07-04T10:29:44.327238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-26T08:53:46.285233Z digest=sha256:be7392a6d2ce4acf4425ab77e2e9f0bb266ad05251210a42577eade452e00920

Observation 9f7f622e-23d4-439d-815b-2f3e9dd54550 · inbound

Attention-based representations for multi-task computation cites this paper.

Attention-based representations for multi-task computation Are Transformers with One Layer Self-Attention Using Low-Rank Weight Matrices Universal Approximators?

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-08T00:18:21.293789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T00:18:21.293789Z digest=sha256:29d2f7e60008c9d1383dc9ea196b123c9e49cf74044cdabd8103fa92201ddc4f