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Paper Citation Record · LEDGER

Training-Free Universal Approximation by Prompting Random Transformers

As of 13 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2608.09558.

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

pith.paper-citation-record.v1
2608.09558 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:14:28.528461Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

21 of 21 outbound references displayed

  • verified exact4
  • verified fuzzy5
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 55bdee17-4ebd-4de6-90e6-e47b798fc584 · outbound

This paper cites Aobo Kong, Shiwan Zhao, Hao Chen, Qicheng Li, Yong Qin, Ruiqi Sun, Xin Zhou, Enzhi Wang, and Xiaohang Dong.

Training-Free Universal Approximation by Prompting Random Transformers Aobo Kong, Shiwan Zhao, Hao Chen, Qicheng Li, Yong Qin, Ruiqi Sun, Xin Zhou, Enzhi Wang, and Xiaohang Dong

Reference 9

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verified fuzzy
raw_fallback, observed 2026-08-11T15:14:28.908493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 3dc08dc5-b260-4b3b-b1b3-bd717fc15f60 · outbound

This paper cites URLhttps://aclanthology.org/2024.naacl-long.228/.

Training-Free Universal Approximation by Prompting Random Transformers URLhttps://aclanthology.org/2024.naacl-long.228/

Reference 10

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verified fuzzy
raw_fallback, observed 2026-08-11T15:14:28.896232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:14:28.486306Z digest=sha256:d2e1d1f585b878325522313960710621c164c717a406060cc18d05faf93604ee

Observation 319692d9-0506-4982-9f2d-6efd7f23bbf1 · outbound

This paper cites Prompt Engineering Through the Lens of Optimal Control.

Training-Free Universal Approximation by Prompting Random Transformers Prompt Engineering Through the Lens of Optimal Control

Reference 11

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no resolver link, observed 2026-08-11T15:14:28.489885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 520f5c59-ddea-4682-a1f2-4c902019a962 · outbound

This paper cites Memory Limitations of Prompt Tuning in Transformers.

Training-Free Universal Approximation by Prompting Random Transformers Memory Limitations of Prompt Tuning in Transformers

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-11T15:14:28.643858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:14:28.493489Z digest=sha256:8771cbb07bd40f135b74b3e354eab1db8a0c94726b0467095160db0e7cd32fb6

Observation c3e154bd-b875-46b0-aa18-f66063b44914 · outbound

This paper cites A Theoretical Framework for Prompt Engineering: Approximating Smooth Functions with Transformer Prompts.

Training-Free Universal Approximation by Prompting Random Transformers A Theoretical Framework for Prompt Engineering: Approximating Smooth Functions with Transformer Prompts

Reference 13

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unresolved
no resolver link, observed 2026-08-11T15:14:28.497840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:14:28.497840Z digest=sha256:b1de21408c459ee6e06b7dd92717dc9c6b26d694546e903595df0d18fb459de0

Observation 75638d22-d25f-4541-883f-66d04e1ded28 · outbound

This paper cites neurips.cc/paper_files/paper/2008/file/0efe32849d230d7f53049ddc4a4b0c60-Paper.pdf.

Training-Free Universal Approximation by Prompting Random Transformers neurips.cc/paper_files/paper/2008/file/0efe32849d230d7f53049ddc4a4b0c60-Paper.pdf

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation cfc1bd5f-4143-43f9-92e9-56aafa9fea4f · outbound

This paper cites A Systematic Survey of Prompt Engineering in Large Language Models: Techniques and Applications.

Training-Free Universal Approximation by Prompting Random Transformers A Systematic Survey of Prompt Engineering in Large Language Models: Techniques and Applications

Reference 16

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no resolver link, observed 2026-08-11T15:14:28.509353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:14:28.509353Z digest=sha256:2feb0b1050bce5d11008746a11cd3bdeb92f9e7b6fcbb8b14ac65a4381523b3e

Observation d0377090-656d-436b-bfcd-370965a8d63a · outbound

This paper cites Sheng Shen, Alexei Baevski, Ari S.

Training-Free Universal Approximation by Prompting Random Transformers Sheng Shen, Alexei Baevski, Ari S

Reference 17

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verified fuzzy
raw_fallback, observed 2026-08-11T15:14:28.870448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:14:28.513059Z digest=sha256:62209b7dcd5f707a2bd91387e2075d7cc4ccf5548ce52fb4605f304fd1b9b60c

Observation ab05c692-9e98-42f7-a706-11c611fa7dbe · outbound

This paper cites Taylor Shin, Yasaman Razeghi, Robert L.

Training-Free Universal Approximation by Prompting Random Transformers Taylor Shin, Yasaman Razeghi, Robert L

Reference 18

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verified fuzzy
raw_fallback, observed 2026-08-11T15:14:28.857596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:14:28.516665Z digest=sha256:603040a67816c283bf7b125f04d82fa9f3bfe73d03131307a07f79b78769432c

Observation b700c30a-d31b-4787-bb6d-3251da822f4a · outbound

This paper cites an unresolved cited work.

Training-Free Universal Approximation by Prompting Random Transformers Unresolved cited work

Reference 19

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unresolved
raw_fallback, observed 2026-08-11T15:14:28.844839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation afaebf6b-be54-4666-9b65-f5e2cae03b2c · outbound

This paper cites Ziqian Zhong and Jacob Andreas.

Training-Free Universal Approximation by Prompting Random Transformers Ziqian Zhong and Jacob Andreas

Reference 21

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unresolved
no resolver link, observed 2026-08-11T15:14:28.528461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:14:28.528461Z digest=sha256:cf1524a3c472d2702b31159d59e6477cd6b1073cf48f90d563e10be4ba835322

Observation 531442ae-a4dd-4152-bb5c-eae1f8455131 · outbound

This paper cites Aman Bhargava, Cameron Witkowski, Shi-Zhuo Looi, and Matt Thomson.

Training-Free Universal Approximation by Prompting Random Transformers Aman Bhargava, Cameron Witkowski, Shi-Zhuo Looi, and Matt Thomson

Reference 1993

Resolution
unresolved
no resolver link, observed 2026-08-11T15:14:28.444916Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:14:28.444916Z digest=sha256:5b730d7ca6499baa7a2ea7123ed3a3d47b8749960bd4cd75c02420deb299c6ec

Observation ef8c7d97-dfa6-4d2d-81de-c4c07362313f · outbound

This paper cites URLhttps://www.sciencedirect.com/ science/article/pii/S1874584901800103.

Training-Free Universal Approximation by Prompting Random Transformers URLhttps://www.sciencedirect.com/ science/article/pii/S1874584901800103

Reference 2001

Resolution
verified exact
doi, observed 2026-08-11T15:14:28.598434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:14:28.458655Z digest=sha256:a082ae125d9d146c6c3e80e3dcc462a51e7848ebbc5be3ad58e289136a1c0c17

Observation db644739-6760-4ed6-b99f-c86c427e5eaf · outbound

This paper cites URLhttp://www.jstor.org/stable/20461468.

Training-Free Universal Approximation by Prompting Random Transformers URLhttp://www.jstor.org/stable/20461468

Reference 2007

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verified exact
raw_fallback, observed 2026-08-11T15:14:28.821419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:14:28.454426Z digest=sha256:4282609d70bd5e4c53df1df3956fc4a46446e5486e70ef5932278f8bc9b76bb9

Observation 9167ca07-2d34-4cbb-be02-44bbd6176b36 · outbound

This paper cites doi: 10.1007/s00454-008-9053-2.

Training-Free Universal Approximation by Prompting Random Transformers doi: 10.1007/s00454-008-9053-2

Reference 2008

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unresolved
no resolver link, observed 2026-08-11T15:14:28.502151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:14:28.502151Z digest=sha256:95b8cdef67f42c6743a0d56ef21886c57b68710840d4d6d33df5e5d049df5f69

Observation a8944c00-def7-4953-909c-78353ca6bed5 · outbound

This paper cites Kurt Hornik.

Training-Free Universal Approximation by Prompting Random Transformers Kurt Hornik

Reference 2015

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unresolved
no resolver link, observed 2026-08-11T15:14:28.468717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:14:28.468717Z digest=sha256:0d9240472351e388ba9ac5975f688d042222da2c878201c62f12f2cf9f4f7522

Observation fc41d120-ad51-4b59-8f49-755ee2832bc6 · outbound

This paper cites doi: https://doi.org/10.1016/j.neunet.2017.07.002.

Training-Free Universal Approximation by Prompting Random Transformers doi: https://doi.org/10.1016/j.neunet.2017.07.002

Reference 2017

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unresolved
no resolver link, observed 2026-08-11T15:14:28.523835Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:14:28.523835Z digest=sha256:5e85557cefeaa34288ca4ba00032142cfb1e37a9bf7c447b1b95c32cd8e84879

Observation 0359eeb5-c02f-4b9a-9888-99a2d532ff7b · outbound

This paper cites What's the Magic Word? A Control Theory of LLM Prompting.

Training-Free Universal Approximation by Prompting Random Transformers What's the Magic Word? A Control Theory of LLM Prompting

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-11T15:14:28.449797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:14:28.449797Z digest=sha256:01e0d5f230af569e191c52b9a3dd65fc4a0dc9a3498195b56e397d272f24f536

Observation 2315d1d7-7bc4-4a57-bebf-441004df4772 · outbound

This paper cites URLhttps://proceedings.neurips.cc/paper_files/paper/2024/file/ 7f64034009f4a5fa417a57e1a987c5cd-Paper-Conference.pdf.

Training-Free Universal Approximation by Prompting Random Transformers URLhttps://proceedings.neurips.cc/paper_files/paper/2024/file/ 7f64034009f4a5fa417a57e1a987c5cd-Paper-Conference.pdf

Reference 2024

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unresolved
no resolver link, observed 2026-08-11T15:14:28.477903Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:14:28.477903Z digest=sha256:06f8a44995ad8cdaac8abf9c104afa72306ec4e269ed4e61c6a40f2a9e454b9d

Observation 69de66da-b7a2-4dcd-93e9-190b1aee2527 · outbound

This paper cites Is Random Attention Sufficient for Sequence Modeling? Disentangling Trainable Components in the Transformer.

Training-Free Universal Approximation by Prompting Random Transformers Is Random Attention Sufficient for Sequence Modeling? Disentangling Trainable Components in the Transformer

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-11T15:14:28.463703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:14:28.463703Z digest=sha256:d19ff128298888e14e7924d402ea75658aa7fe0107c02b469692c7dfc3a436cf

Observation b2c4d46a-e8e6-4268-acc7-4022a34ba82c · outbound

This paper cites Understanding In-Context Learning for Nonlinear Regression with Transformers: Attention as Featurizer.

Training-Free Universal Approximation by Prompting Random Transformers Understanding In-Context Learning for Nonlinear Regression with Transformers: Attention as Featurizer

Reference 2026

Resolution
verified exact
local_arxiv, observed 2026-08-11T15:14:28.670556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Pith citing papers

No inbound Pith citation observations are available.