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Paper Citation Record · LEDGER

On the Ability and Limitations of Transformers to Recognize Formal Languages

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:2009.11264.

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

pith.paper-citation-record.v1
2009.11264 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:39:54.980591Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 8fbe3cd4-788c-44c5-8cde-21f2c77b66ea · inbound

How Transformers Learn Regular Language Recognition: A Theoretical Study on Training Dynamics and Implicit Bias cites this paper.

How Transformers Learn Regular Language Recognition: A Theoretical Study on Training Dynamics and Implicit Bias On the Ability and Limitations of Transformers to Recognize Formal Languages

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-16T04:39:54.980591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:39:54.980591Z digest=sha256:46b6213da97832a7498fb061f9c0572b9ea6f7b8b370cb11467e708eb98ee45c

Observation 10cf59d9-00e8-4344-8bf5-a1783691c633 · inbound

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization cites this paper.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization On the Ability and Limitations of Transformers to Recognize Formal Languages

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T06:10:16.604932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T06:10:16.604932Z digest=sha256:0045771e2b5edd3b79ec3c355ff4ebfd33820e703971cabe69f335bb7215bf63

Observation 5edefc34-b2f5-4c33-9b27-2721be7074c9 · inbound

The Serial Scaling Hypothesis cites this paper.

The Serial Scaling Hypothesis On the Ability and Limitations of Transformers to Recognize Formal Languages

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-19T04:12:02.528339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-19T04:08:11.344622Z digest=sha256:1ca00b7c9aa5bca2af0f0357d2c411af8556ca496533ae90c72bd69aeab07103

Observation 0ab13602-b305-4969-a10b-b80fbd4cc797 · inbound

Rethinking Memorization Measures and their Implications in Large Language Models cites this paper.

Rethinking Memorization Measures and their Implications in Large Language Models On the Ability and Limitations of Transformers to Recognize Formal Languages

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-06T15:54:33.333452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:33.333452Z digest=sha256:37e83d31cf2e0ee39d382b06da35bf0ac881a5ecdfb30bfe74a0d446365a4a4e

Observation 8d78d364-5582-4ef3-bb3b-737ca95b2e8e · inbound

Unraveling Syntax: Language Modeling and the Substructure of Grammars cites this paper.

Unraveling Syntax: Language Modeling and the Substructure of Grammars On the Ability and Limitations of Transformers to Recognize Formal Languages

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T12:47:19.203440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T12:47:19.203440Z digest=sha256:cec7b7cc7ea70584cd7ef9b8bddf548ca27ba5034a407eb37f77b97348f9af88

Observation fef3b442-a5a1-461c-8fd0-98870461e7f8 · inbound

On the Spatiotemporal Dynamics of Generalization in Neural Networks cites this paper.

On the Spatiotemporal Dynamics of Generalization in Neural Networks On the Ability and Limitations of Transformers to Recognize Formal Languages

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-16T09:00:46.827901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-16T08:59:44.016444Z digest=sha256:19e23942038b0edb8b3b31ed5e8701750f3ccece722ff7b2da4b02108cf7e3d1

Observation db23f789-554a-4cc7-93fc-b1259d528b80 · inbound

Learning State-Tracking from Code Using Linear RNNs cites this paper.

Learning State-Tracking from Code Using Linear RNNs On the Ability and Limitations of Transformers to Recognize Formal Languages

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-15T21:46:42.383531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-15T21:46:14.287966Z digest=sha256:2649f2fa136abe5d0fa77c91a5283def09df313b4edd12dbea5292bd1d5989a0

Observation 3731d988-3412-4f7d-be43-a4e43099d453 · inbound

Learning State-Tracking from Code Using Linear RNNs cites this paper.

Learning State-Tracking from Code Using Linear RNNs On the Ability and Limitations of Transformers to Recognize Formal Languages

Reference 1994

Resolution
unresolved
no resolver link, observed 2026-08-02T23:07:48.218298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T23:07:48.218298Z digest=sha256:f4df532d7a0204dfe528b79de6c7fdf3f158effddba33e94aedf7a11fda28dc9

Observation f207f61e-c1d3-49bd-bbb0-e8a68a4682ac · inbound

On the Mirage of Long-Range Dependency, with an Application to Integer Multiplication cites this paper.

On the Mirage of Long-Range Dependency, with an Application to Integer Multiplication On the Ability and Limitations of Transformers to Recognize Formal Languages

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:07:57.702500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-14T21:07:37.032208Z digest=sha256:c8193ab80b78271de4ebe11d68cceac132169ed359c37a700981abd409c4f106

Observation 02298bea-87d6-40ba-a214-9a2d131ac81b · inbound

On the Emergence of Syntax by Means of Local Interaction cites this paper.

On the Emergence of Syntax by Means of Local Interaction On the Ability and Limitations of Transformers to Recognize Formal Languages

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-05-10T04:20:03.814267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-10T04:16:41.473079Z digest=sha256:8bc474563056499f8abe2ff22a112ffe5ff4e2b5fd68cfe0347207d41b22ae73

Observation 56b2d891-a49d-4267-bb0e-af1b31ef31e7 · inbound

Looped Transformers with Layer Normalization Provably Learn the Power Method cites this paper.

Looped Transformers with Layer Normalization Provably Learn the Power Method On the Ability and Limitations of Transformers to Recognize Formal Languages

Reference 72

Resolution
metadata mismatch
arxiv_id, observed 2026-06-28T19:22:35.275730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-06-28T19:03:51.212121Z digest=sha256:93575f182de7259bc103625a3e985d1d9cd2f5a65a80071b80a5533830daf42b

Observation 3a10fe2c-bacc-4f55-b82d-0b90134bca24 · inbound

When Does Reward Teach State? A Hidden-Automaton Instrument and a Group-Language Warning Signal cites this paper.

When Does Reward Teach State? A Hidden-Automaton Instrument and a Group-Language Warning Signal On the Ability and Limitations of Transformers to Recognize Formal Languages

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-02T07:20:41.341600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T07:20:41.341600Z digest=sha256:a08a6073364528329ad3804ee6c5b4584cf6ade3db2d0dff4a64bbff564df560

Observation 4fe3c723-6b92-4f27-9af5-04a14978b806 · inbound

Disentangling the Expressivity of RoPE cites this paper.

Disentangling the Expressivity of RoPE On the Ability and Limitations of Transformers to Recognize Formal Languages

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-16T00:38:38.108123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:38:38.108123Z digest=sha256:f2b3d69beab7dc7ce0caafef593e6c09e56fd0c7f1f7604165c2e7b5d501567f