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Paper Citation Record · LEDGER

What Algorithms can Transformers Learn? A Study in Length Generalization

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 15 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 15 of 15 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 15 of 15 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:59:24.336490Z

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

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-10T17:34:42.565806Z digest=sha256:f0cdfb9c020a86327fc9c0114a2121963583969a6983b2c0c095736317d33766

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T03:07:37.363965Z digest=sha256:4e1550a0a936ebd25565d01d59e0cc58e501fcee21f2b79962ab5f13d589db97

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

Resolution
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=sha256:04680cfda77be038619388aac6d16a25e3a6afd08661042fa82885cb9465de7f

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-19T04:08:11.344622Z digest=sha256:6e476872b65755b762d7329942e1df4b8865ca8f05e8f1011ebf9c288a8c371b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-16T08:59:44.016444Z digest=sha256:42276b9bc6ea9b217c593842285f10c637ce822405d244671970f6ace5d5344c

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

Resolution
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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-15T14:34:14.413131Z digest=sha256:9c809a67a79fed88ebb6869960da4c49e2eca4c66b6b29ecf1fa389b084d69da

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

Resolution
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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-14T21:07:37.032208Z digest=sha256:b430b3e42cee69ceb1af1e825fac73afef37bf585ebda836ce6252ef7d0a2a15

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-10T10:37:45.355872Z digest=sha256:8433e1b6cfe262f204cae750bf5055746a307afe13329f27ef478b175d7f1603

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-10T04:16:41.473079Z digest=sha256:5c8f0f6d84f5a6721141135b83754ce83b6d3a96845734270fffc62809a3fa63

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

Resolution
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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-07T16:36:19.729400Z digest=sha256:38d7562256c93c2e060efe2f37022e488e8fbef6fbc48c61f4adca82a52e3d38

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

Resolution
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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-06-28T23:26:28.158991Z digest=sha256:478c204b824f5295dbc45c0502b808241e8ef6185b0cf6a1646c5a9034878825

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T12:35:20.698118Z digest=sha256:49023bd20e7a287cc99955495ac2da25288bb16f17500be162905d00c4f87467

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-30T07:29:23.786653Z digest=sha256:e0c56c55892e55123f93fe7c6b6327333cb1a70aa8cca42a41da330f027f458c

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