Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T04:59:08.755912Z
Paper Citation Record · LEDGER
On the Expressive Power of Transformers
As of 19 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2608.12671.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
31 of 31 outbound references displayed
- verified exact1
- verified fuzzy10
- unresolved19
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b4467b81-443f-48c4-9438-1248161ab257 · outbound
This paper cites A Survey of Neural Networks and Formal Languages.
On the Expressive Power of Transformers A Survey of Neural Networks and Formal Languages
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:59:08.602715Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4303779e-d1b0-427f-a7ee-302052ae6b9d · outbound
This paper cites Barceló, A.
On the Expressive Power of Transformers Barceló, A
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:59:09.258140Z
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 84686f62-b342-498b-8094-3dbf5f870edd · outbound
This paper cites an unresolved cited work.
On the Expressive Power of Transformers Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:59:09.226622Z
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 9344c54f-290e-4850-ae52-1a13cd88b17d · outbound
This paper cites Onthecomputationalpoweroftransformersanditsimplications in sequence modeling.
On the Expressive Power of Transformers Onthecomputationalpoweroftransformersanditsimplications in sequence modeling
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:59:08.627086Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e93bdbc9-39ad-40e1-8348-ad3a6093752d · outbound
This paper cites an unresolved cited work.
On the Expressive Power of Transformers Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:59:09.210531Z
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 f33b03ce-e121-43d9-a6f1-21483cdecb18 · outbound
This paper cites an unresolved cited work.
On the Expressive Power of Transformers Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:59:09.195454Z
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 6c1c3398-ab91-4863-84d6-56b9de942c59 · outbound
This paper cites Chiang, P.
On the Expressive Power of Transformers Chiang, P
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:59:09.176810Z
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 f8d40d2c-7972-49e2-9457-64aa55a410a9 · outbound
This paper cites an unresolved cited work.
On the Expressive Power of Transformers Unresolved cited work
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:59:08.645346Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation deabfeef-6055-42f6-8b34-fe7796a3652d · outbound
This paper cites an unresolved cited work.
On the Expressive Power of Transformers Unresolved cited work
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:59:08.650146Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9216f393-35b6-4396-89d6-4006e0612b55 · outbound
This paper cites an unresolved cited work.
On the Expressive Power of Transformers Unresolved cited work
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:59:08.655500Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22a37721-c967-4190-af24-0a576a4f3a52 · outbound
This paper cites Holtzman, J.
On the Expressive Power of Transformers Holtzman, J
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:59:09.162162Z
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 4492951f-a9b9-4276-8897-968e2dfc592c · outbound
This paper cites Immerman.Descriptive complexity.
On the Expressive Power of Transformers Immerman.Descriptive complexity
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:59:08.664108Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a5326e42-5b66-48d2-9ae6-39257abd1413 · outbound
This paper cites Jiang, M.
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:59:09.144261Z
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 918449d8-ced4-4177-bd3d-3ea915e10893 · outbound
This paper cites Chainofthoughtempowerstransformerstosolveinherentlyserialprob- lems.
On the Expressive Power of Transformers Chainofthoughtempowerstransformerstosolveinherentlyserialprob- lems
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:59:09.121750Z
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 cdb51c1c-7bb0-4efe-a718-62e455717386 · outbound
This paper cites an unresolved cited work.
On the Expressive Power of Transformers Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:59:09.099213Z
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 56bf0fee-25dd-48a4-8321-2c4c5a2743de · outbound
This paper cites an unresolved cited work.
On the Expressive Power of Transformers Unresolved cited work
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:59:08.684918Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c93abc8-2933-4385-ae94-dd5e0acc3873 · outbound
This paper cites Merrill and A.
On the Expressive Power of Transformers Merrill and A
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:59:09.080020Z
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 1e4d479d-ed4b-4b19-a79a-6e1fcfe43f0c · outbound
This paper cites Merrill and A.
On the Expressive Power of Transformers Merrill and A
Reference 18
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-16T04:59:08.693531Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e07c08a5-a0f4-4b23-9279-a058556360f2 · outbound
This paper cites Merrill and A.
On the Expressive Power of Transformers Merrill and A
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:59:09.058814Z
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 f3ad4d9e-0ceb-4651-92d9-601addfcfb59 · outbound
This paper cites Merrill, V.
On the Expressive Power of Transformers Merrill, V
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:59:09.042620Z
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 aaa45d9f-718e-4e9e-8c28-77108bfe0a18 · outbound
This paper cites Merrill, A.
On the Expressive Power of Transformers Merrill, A
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:59:08.716661Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c5b985dc-fc97-42b8-82ff-c2e37c8e619e · outbound
This paper cites Pérez, P.
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:59:09.029782Z
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 8501953e-93e9-4601-9291-50304863def7 · outbound
This paper cites an unresolved cited work.
On the Expressive Power of Transformers Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:59:09.015925Z
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 063311ae-b30d-4602-acb3-c3dea78e7710 · outbound
This paper cites Average-Hard Attention Transformers are Constant-Depth Uniform Threshold Circuits.
On the Expressive Power of Transformers Average-Hard Attention Transformers are Constant-Depth Uniform Threshold Circuits
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:59:08.731627Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 02ac472a-e882-44e4-90e7-2530d6cedb42 · outbound
This paper cites Strobl, W.
On the Expressive Power of Transformers Strobl, W
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:59:08.735575Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2b495c01-7bbb-49e9-a958-2007578eeb47 · outbound
This paper cites Vaswani, N.
On the Expressive Power of Transformers Vaswani, N
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:59:09.001111Z
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 deeef5e7-d5c6-495b-a227-e82b72d14d05 · outbound
This paper cites an unresolved cited work.
On the Expressive Power of Transformers Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:59:08.988023Z
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 c222fe58-3dbf-48e4-8758-da8a8f34af55 · outbound
This paper cites Simulating Hard Attention Using Soft Attention.
On the Expressive Power of Transformers Simulating Hard Attention Using Soft Attention
Reference 28
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T04:59:08.932893Z
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 89c82a57-569a-4016-99ca-262395f971a5 · outbound
This paper cites an unresolved cited work.
On the Expressive Power of Transformers Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:59:08.974810Z
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 e070a6d7-e517-402b-b944-b263f05a97de · outbound
This paper cites doi: 10.18653/v1/2021.emnlp-main.133.
On the Expressive Power of Transformers doi: 10.18653/v1/2021.emnlp-main.133
Reference 2021
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:59:08.712135Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 718a4ccb-6f76-4aea-831f-4cc2d7a4c054 · outbound
This paper cites an unresolved cited work.
On the Expressive Power of Transformers Unresolved cited work
Reference 2024
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:59:09.243094Z
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.
Pith citing papers
No inbound Pith citation observations are available.