Pith. sign in

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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-10T17:34:42.565806Z digest=sha256:8b09f7c1ea1a46cb51301674faf2c5af6ce4826597e606b7e0ed6f8c17f84c87

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T03:07:37.363965Z digest=sha256:39bd142aaae696759b3a0ca58dfe58aac8db8296e4f19418103179d6c3ee95d3

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-19T04:08:11.344622Z digest=sha256:b8e098819333b89292784b5f940f99f8568b875d53bb09c33d72e5faa30dcc20

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-16T08:59:44.016444Z digest=sha256:890bfc286c3a06f0039a7eca1a2ad3605e00ff157aec7b78e6139d2905a429d3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-15T14:34:14.413131Z digest=sha256:f790f8084ba73e449a8e4c272687a4d8bff170b65b8d692d455dcf3cf750f775

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-14T21:07:37.032208Z digest=sha256:61aa40630ce907cc6630dfd84cb1e867cc69b9434f88c40cff84ab04d7cb15d4

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T10:37:45.355872Z digest=sha256:9a66bd8a9d16c5478773ee3127c21244eb79cfb0e46322befc5ccb48749e12e7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T04:16:41.473079Z digest=sha256:c3b596c8545134e229c48c870fe8624001009b27339c609691dff0b617ab47b3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-07T16:36:19.729400Z digest=sha256:a298d65bf293154bb752e797d1605a0835210138727c8a18bbfdf7c39c738b16

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-06-28T23:26:28.158991Z digest=sha256:7b6d3e26760e06cf2a169050b9f879b804172780f8b3cdc6922fb65627fca441

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T12:35:20.698118Z digest=sha256:8f03959a19ab5a7475f55a74a1688ca8129df70b0a0f1f202b2743f5e8429ebb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T07:29:23.786653Z digest=sha256:34a90c79b78461d7606264d0815df70b822b7ad7461abf400a5244812a56e1af

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