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Paper Citation Record · LEDGER

What Algorithms can Transformers Learn? A Study in Length Generalization

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 19 inbound Pith citation observations for arXiv:2310.16028.

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

pith.paper-citation-record.v1
2310.16028 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 19 of 19 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T15:26:53.489472Z

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

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External citation measurements

7
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 eb08c33d-41a8-4903-af3d-095ee9979da4 · inbound

LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Code cites this paper.

LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Code What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 94

Resolution
metadata mismatch
arxiv_id, observed 2026-05-10T17:34:43.087593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-10T17:34:42.565806Z digest=sha256:a9da487687f25d9c42be80ce6f97177e75966b8a215104f90660b65cd0b1f620

Observation 00d1c289-b7d0-4645-944e-7ac3d9d84993 · inbound

Emergent Stack Representations in Modeling Counter Languages Using Transformers cites this paper.

Emergent Stack Representations in Modeling Counter Languages Using Transformers What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-09T15:26:53.489472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T15:26:53.489472Z digest=sha256:1764080535808b99cc0ed895006c5abd22d334b7bdfbf608391b3e9ca3a73bf4

Observation fa4a1417-2469-47c8-962a-eabb70d3e43d · inbound

Self-Improving Transformers Overcome Easy-to-Hard and Length Generalization Challenges cites this paper.

Self-Improving Transformers Overcome Easy-to-Hard and Length Generalization Challenges What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 70

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unresolved
no resolver link, observed 2026-08-09T14:54:29.309828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:54:29.309828Z digest=sha256:c2ac7a48bb380fd32f0cdcc9998e814b1f02d340159b6db779d9fbda7bd57544

Observation 276fd243-28ea-4c22-a5d5-b505bb565ecf · inbound

Code Simulation as a Proxy for High-order Tasks in Large Language Models cites this paper.

Code Simulation as a Proxy for High-order Tasks in Large Language Models What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-09T04:32:43.097070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T04:32:43.097070Z digest=sha256:7c0483d2931e7b8930efffe51e6fc9a7541ca8f956ebc5d4c3dfb74740c74a37

Observation 8177049d-15cb-4f1e-9240-c587a0fedc80 · inbound

ImprovNet -- Generating Controllable Musical Improvisations with Iterative Corruption Refinement cites this paper.

ImprovNet -- Generating Controllable Musical Improvisations with Iterative Corruption Refinement What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-08T22:29:37.732975Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T22:29:37.732975Z digest=sha256:949a2252868c4274d6ea60b2f51a879e496b012c81a89d3c61a775c1cfe8b590

Observation 76c715e3-56a9-41b9-9470-18d9866511e1 · inbound

FoNE: Precise Single-Token Number Embeddings via Fourier Features cites this paper.

FoNE: Precise Single-Token Number Embeddings via Fourier Features What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-05-23T03:12:28.730236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-23T03:07:37.363965Z digest=sha256:a726cdd58336f4f0a8094a8e9db8874f788dca65a76fd22c7da7495eab8363d1

Observation 1b4e5d1f-9277-4d54-a717-643538901f11 · inbound

Extrapolation by Association: Length Generalization Transfer in Transformers cites this paper.

Extrapolation by Association: Length Generalization Transfer in Transformers What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 46

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unresolved
no resolver link, observed 2026-08-07T04:59:24.336490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:59:24.336490Z digest=sha256:8915346c59bdf3deb416c8df1855709f0431acd61575957d80e848eea3f6bd60

Observation e642d740-59e9-406b-b362-41984e948cee · inbound

The Serial Scaling Hypothesis cites this paper.

The Serial Scaling Hypothesis What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 137

Resolution
verified exact
arxiv_id, observed 2026-05-19T04:12:02.401992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-19T04:08:11.344622Z digest=sha256:4f97132b7d5559c84d20abe865f3652e4335c3e019a3700d5bfc25dbb3fb5def

Observation 67b93f2e-92fa-4641-81ee-4c39d0d58151 · inbound

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

On the Spatiotemporal Dynamics of Generalization in Neural Networks What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-16T09:00:46.836643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T08:59:44.016444Z digest=sha256:19f61a838ffc10c1ea2e4f7e845fc242218f11a12f3cfceda07e017bd0d2849c

Observation 5701e019-3466-4348-95de-db0394411527 · inbound

LEAD: Breaking the No-Recovery Bottleneck in Long-Horizon Reasoning cites this paper.

LEAD: Breaking the No-Recovery Bottleneck in Long-Horizon Reasoning What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 15

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verified exact
arxiv_id, observed 2026-05-15T14:35:55.714967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-15T14:34:14.413131Z digest=sha256:aab044764f1d08ae54aa0331c30abd48ed1dd68189a74f17071dfb6dbc037126

Observation b2425abd-d1c5-4029-b52c-0732cb79c3d1 · 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 What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 31

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verified exact
arxiv_id, observed 2026-05-14T21:07:57.577421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-14T21:07:37.032208Z digest=sha256:4f7862773191d8f4fccd183d916ff59671c9154e463a38be0cc2e70c75306ca3

Observation af397df4-be69-411a-9e20-43cbdecd80e1 · inbound

Generalization in LLM Problem Solving: The Case of the Shortest Path cites this paper.

Generalization in LLM Problem Solving: The Case of the Shortest Path What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-05-10T10:39:38.085516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T10:37:45.355872Z digest=sha256:1c57eb1c55f97c002736626e5fac0107a1307ec5c960971ff1558c7d7326ca4f

Observation a75bf0e2-a315-4ede-8040-3197835301c0 · inbound

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

On the Emergence of Syntax by Means of Local Interaction What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 46

Resolution
verified exact
arxiv_id, observed 2026-05-10T04:20:03.801289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T04:16:41.473079Z digest=sha256:f6c7d79634039a5ba5b2ce48c7923657802997fa27700a2e4532a67a6e43a36c

Observation 714621d3-602d-4d81-8078-ef9fc8d331d0 · inbound

Training Transformers as a Universal Computer cites this paper.

Training Transformers as a Universal Computer What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 22

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verified exact
arxiv_id, observed 2026-05-11T23:36:38.589963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-07T16:36:19.729400Z digest=sha256:b24ec7360f4ef8462db3481ae260768b4c4d407d3530b3f45d2da05bdbe42d7e

Observation 43ee4f3f-1d48-407f-b1e8-2fa11c7325b9 · inbound

Agentic Transformers Provably Learn to Search via Reinforcement Learning cites this paper.

Agentic Transformers Provably Learn to Search via Reinforcement Learning What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 33

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metadata mismatch
arxiv_id, observed 2026-06-28T23:42:49.913561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-06-28T23:26:28.158991Z digest=sha256:9e6a0d2ad25e2ca7932cc8b26dcc8c4c7c397fd50e9950fb4c7f9650c0aa6369

Observation 775b5221-9025-4310-a56f-9c60ee1ab94a · inbound

A Verifiable Search Is Not a Learnable Chain-of-Thought cites this paper.

A Verifiable Search Is Not a Learnable Chain-of-Thought What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-07-04T07:49:39.727613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T12:35:20.698118Z digest=sha256:df0063d96ce4b2777c97265731232700694ae24fc5a28c9382d48592d5c3b920

Observation 7e817d48-85e3-476a-9915-0887468e949d · inbound

Stabilizing Extrapolation in Looped Transformers via Learned Stochastic Stopping cites this paper.

Stabilizing Extrapolation in Looped Transformers via Learned Stochastic Stopping What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-06-30T07:34:21.673836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T07:29:23.786653Z digest=sha256:4967e9075ea6f6426f1a5b33d00d811024bf4e327a4864e795fe96b44a83a707

Observation 26a39aa7-3826-4c2e-95b0-638661fee8ca · inbound

From Expressivity to Sample Complexity: Narrow Teachers for Transformers via C-RASP cites this paper.

From Expressivity to Sample Complexity: Narrow Teachers for Transformers via C-RASP What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-14T03:23:31.727605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T03:23:31.727605Z digest=sha256:935c493309dfb30d24f505f8d7bbca60bb73eef869ec3e1f846121ba434a9dea

Observation f90c2cbe-7c3d-468e-8328-59cc4cc74438 · inbound

Can Transformers Really Do It All? On the Compatibility of Inductive Biases Across Tasks cites this paper.

Can Transformers Really Do It All? On the Compatibility of Inductive Biases Across Tasks What Algorithms can Transformers Learn? A Study in Length Generalization

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-01T17:31:50.953124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T17:31:50.953124Z digest=sha256:8bdbafbd18c3b808bfece7d59877b962b56bfb637f4e920815ff3cd6eb60351a