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Paper Citation Record · LEDGER

Comparison of different Unique hard attention transformer models by the formal languages they can recognize

As of 8 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2506.03370.

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

pith.paper-citation-record.v1
2506.03370 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:14:00.876685Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 58b8991f-a410-400c-85ed-014e7a996932 · outbound

This paper cites A theorem on probabilistic constant depth computations.

Comparison of different Unique hard attention transformer models by the formal languages they can recognize A theorem on probabilistic constant depth computations

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:04.863776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:13:59.169348Z digest=sha256:de61bf37c3f2db504d02ec26dc087e30daec15b5040b2a5b4552a6fc3bb15de0

Observation 60de64b8-851e-487c-a1c8-08b33f214424 · outbound

This paper cites Logical Languages Accepted by Transformer Encoders with Hard Attention, October 2023.

Comparison of different Unique hard attention transformer models by the formal languages they can recognize Logical Languages Accepted by Transformer Encoders with Hard Attention, October 2023

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:04.534788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:13:59.276652Z digest=sha256:2adaa3bcd7d1e3f50437c58c0c8620d79b6efe67186bb408ac411d2361f39ec0

Observation 13dfd690-76f8-4a88-9041-bf2e70eeab69 · outbound

This paper cites Brzozowski and R.

Comparison of different Unique hard attention transformer models by the formal languages they can recognize Brzozowski and R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:04.227723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:13:59.433025Z digest=sha256:2b3614ec7c1ba515127c1c6b9785543ddca9a0182b1fd49af2e420c181d75b4f

Observation c37835d1-3174-4302-be7e-21d0fe742371 · outbound

This paper cites First-order definable languages.

Comparison of different Unique hard attention transformer models by the formal languages they can recognize First-order definable languages

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:03.878847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:13:59.575120Z digest=sha256:587512058440208d9b6e1b2d94793d2d483c2a4752c8cc5953cafc82ecf7d172

Observation a50dd50c-9719-4a66-a990-7452ebbfe6cb · outbound

This paper cites Computing approximate majority in ac0, 2023.

Comparison of different Unique hard attention transformer models by the formal languages they can recognize Computing approximate majority in ac0, 2023

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:03.593338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:13:59.707984Z digest=sha256:dfb3c0518850d5236517616b76d87f125f799f750b1a288021d46a1fe59794e0

Observation fb2f1390-0a2c-4dde-b1ed-a3bb98055e23 · outbound

This paper cites Theoretical limitations of self-attention in neural sequence models.Transactions of the Asso- ciation for Computational Linguistics, 8:156–171, 2020.

Comparison of different Unique hard attention transformer models by the formal languages they can recognize Theoretical limitations of self-attention in neural sequence models.Transactions of the Asso- ciation for Computational Linguistics, 8:156–171, 2020

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:03.235531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:13:59.848385Z digest=sha256:7f982944e644966f1f012dfcfc3f581277f906500dcb8804cff9ecca19227201

Observation 11812967-d25a-4139-9133-6f67bd8f897c · outbound

This paper cites Formal Language Recognition by Hard Attention Transformers: Perspectives from Circuit Complexity, April 2022.

Comparison of different Unique hard attention transformer models by the formal languages they can recognize Formal Language Recognition by Hard Attention Transformers: Perspectives from Circuit Complexity, April 2022

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:02.913027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:13:59.969748Z digest=sha256:e0e7c401893cfab3475488c054561ccc121e4114c2084947ce0f585518207614

Observation f177d7d5-e391-4aba-be5b-5fdd15822af2 · outbound

This paper cites Logical languages accepted by transformer encoders with hard attention, 2023.

Comparison of different Unique hard attention transformer models by the formal languages they can recognize Logical languages accepted by transformer encoders with hard attention, 2023

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:02.616828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:14:00.109279Z digest=sha256:2d36a47b8a0d0d07be3a1bf79b417782c2e927b4339e036fa434cf23983e890e

Observation ce674e52-3e62-4e90-92a8-a41d68f81abd · outbound

This paper cites Temporal logic with past is exponentially more succinct, concurrency column.Bull.

Comparison of different Unique hard attention transformer models by the formal languages they can recognize Temporal logic with past is exponentially more succinct, concurrency column.Bull

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:02.328152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:14:00.283268Z digest=sha256:141719c60826735e9bd6f992072b27782b446cd2a817dffcb7ce44d0effc09d1

Observation 78432bbc-de10-4795-b600-d5db6d39f209 · outbound

This paper cites an unresolved cited work.

Comparison of different Unique hard attention transformer models by the formal languages they can recognize Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:14:02.047227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:14:00.407572Z digest=sha256:c6cb88103f34b93228524d2e580236ec8f99155b33c8e6482526bdca64a3ec70

Observation eb371ab5-1b1b-4c69-92fa-0f1ba2de0452 · outbound

This paper cites Thinking Like Transformers.

Comparison of different Unique hard attention transformer models by the formal languages they can recognize Thinking Like Transformers

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:01.794736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:14:00.586181Z digest=sha256:639020e703ff947fe4c29db68b09b78c7ae8d8dfd53b3a4480ccc36bc18c0afc

Observation c3709c9b-9ec1-4e6d-9be2-8d5929f5e05b · outbound

This paper cites Masked Hard-Attention Transformers Recognize Exactly the Star-Free Languages, May 2024.

Comparison of different Unique hard attention transformer models by the formal languages they can recognize Masked Hard-Attention Transformers Recognize Exactly the Star-Free Languages, May 2024

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:01.490730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:14:00.705347Z digest=sha256:ee1ce9f15ac74f69329197eb6f8593008a9f2ebad3603a40e351cbb2eb5eb499

Observation 07d8d2ea-89e9-4964-885e-ed0c1538f269 · outbound

This paper cites Self-attention networks can process bounded hierarchical languages.

Comparison of different Unique hard attention transformer models by the formal languages they can recognize Self-attention networks can process bounded hierarchical languages

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:01.154027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:14:00.876685Z digest=sha256:8cc456eaceb3841fb60fd0c938e1372bbf6196875c988a323d339d5eb122d39c

Pith citing papers

No inbound Pith citation observations are available.