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Paper Citation Record · LEDGER

Looped Transformers for Length Generalization

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 26 inbound Pith citation observations for arXiv:2409.15647.

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

pith.paper-citation-record.v1
2409.15647 v5

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 26 of 26 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T14:54:29.153923Z

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

0
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 bdda9707-04f1-43ce-9b4f-1fa81a7ed874 · inbound

Training Large Language Models to Reason in a Continuous Latent Space cites this paper.

Training Large Language Models to Reason in a Continuous Latent Space Looped Transformers for Length Generalization

Reference 8

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arxiv_id, observed 2026-05-11T10:29:05.622707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-11T10:29:05.384381Z digest=sha256:1795e5d7fefef333470761c4365ec889f70f68643d6758aff84332f8a3d78812

Observation c8e0c298-f037-4b43-9b93-246d7c164a19 · 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 Looped Transformers for Length Generalization

Reference 23

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no resolver link, observed 2026-08-09T14:54:29.153923Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:54:29.153923Z digest=sha256:c2bbf2adcdbb89f9bf7c1509a7cc5e86f4901195e3ae2b85c4d1243be3dc0276

Observation 3c632ece-aebe-49ba-81de-8d501af621e5 · inbound

Enhancing Auto-regressive Chain-of-Thought through Loop-Aligned Reasoning cites this paper.

Enhancing Auto-regressive Chain-of-Thought through Loop-Aligned Reasoning Looped Transformers for Length Generalization

Reference 2019

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no resolver link, observed 2026-08-08T05:02:55.822433Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T05:02:55.822433Z digest=sha256:0ccd30fa2c04465accceca1e332f4c1bc6c5c3d2430d2228f89d3cbe3842a2d8

Observation 18ca2c93-1902-4af6-bec1-5eca8dbfa16a · inbound

SCOUT: Teaching Pre-trained Language Models to Enhance Reasoning via Flow Chain-of-Thought cites this paper.

SCOUT: Teaching Pre-trained Language Models to Enhance Reasoning via Flow Chain-of-Thought Looped Transformers for Length Generalization

Reference 23

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no resolver link, observed 2026-08-07T12:39:00.469205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:39:00.469205Z digest=sha256:23d5f5fbba5019131fed7786efee240a1c25510b23af4b16a3433debd780c7cf

Observation de2c2496-8001-4cab-a1ad-e9330e8993f2 · inbound

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

Extrapolation by Association: Length Generalization Transfer in Transformers Looped Transformers for Length Generalization

Reference 15

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no resolver link, observed 2026-08-07T04:59:21.582522Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:59:21.582522Z digest=sha256:4ec3e8b211dc7cf79e6796851ec0e5ee5ddc021d1e955486720f0d1306a9c502

Observation 94078844-e10c-4e60-8423-adbe8c9346e9 · inbound

Skip a Layer or Loop it? Test-Time Depth Adaptation of Pretrained LLMs cites this paper.

Skip a Layer or Loop it? Test-Time Depth Adaptation of Pretrained LLMs Looped Transformers for Length Generalization

Reference 9

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no resolver link, observed 2026-08-06T18:33:19.337300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:33:19.337300Z digest=sha256:fb0af637d15102ec5930283a29b8b939271733a1aca94097856600ee07433dc2

Observation 405eb33a-611c-444d-98ef-14bfc541b3dc · inbound

Channel-Wise MLPs Improve the Generalization of Recurrent Convolutional Networks cites this paper.

Channel-Wise MLPs Improve the Generalization of Recurrent Convolutional Networks Looped Transformers for Length Generalization

Reference 3

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no resolver link, observed 2026-08-06T00:01:41.852577Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T00:01:41.852577Z digest=sha256:e2106cdbea7126521d121f9b330375fe0f53a3a6a4a79bfd97d8a61bfe685cc7

Observation 547cb5db-c348-4027-bc09-67ed8809d07b · inbound

Coevolutionary Continuous Discrete Diffusion: Make Your Diffusion Language Model a Latent Reasoner cites this paper.

Coevolutionary Continuous Discrete Diffusion: Make Your Diffusion Language Model a Latent Reasoner Looped Transformers for Length Generalization

Reference 12

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arxiv_id, observed 2026-05-18T10:16:13.990243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-18T10:15:10.746336Z digest=sha256:b613ab1d5a99790f022d44ed1c6bce540da629687dabb829aebf5460c179139f

Observation b604fc07-03d5-46cb-8c94-17866457a463 · inbound

LA-Sign: Looped Transformers with Geometry-aware Alignment for Skeleton-based Sign Language Recognition cites this paper.

LA-Sign: Looped Transformers with Geometry-aware Alignment for Skeleton-based Sign Language Recognition Looped Transformers for Length Generalization

Reference 11

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arxiv_id, observed 2026-05-14T21:09:28.617126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-14T21:09:08.571994Z digest=sha256:1d0b518bd2698ace9d606dbd964d438df62d24e3685e12b90fa397c588e6b8be

Observation 1edccec6-8f16-4d4a-af03-f849fabdfbd6 · 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 Looped Transformers for Length Generalization

Reference 34

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arxiv_id, observed 2026-05-14T21:07:57.657753Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-14T21:07:37.032208Z digest=sha256:e6eaf7b5f50bab1b510617fafdccdbae2b5cb4dd7add122993e8651835da0f55

Observation 86cacffd-caa1-46a8-bc6f-d44def29ded4 · inbound

Exploration of Fast-Slow Latent Recurrence for Train-Short, Test-Long Generalization cites this paper.

Exploration of Fast-Slow Latent Recurrence for Train-Short, Test-Long Generalization Looped Transformers for Length Generalization

Reference 1

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arxiv_id, observed 2026-05-13T22:18:21.078268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-13T22:14:56.746512Z digest=sha256:f1869f041f6bbb59c6192bdc287155c9774948ddd24e909dde8820e1916f5b06

Observation 72fb99ee-82bd-4a0f-b908-cf59e92291f8 · inbound

ELT: Elastic Looped Transformers for Visual Generation cites this paper.

ELT: Elastic Looped Transformers for Visual Generation Looped Transformers for Length Generalization

Reference 16

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arxiv_id, observed 2026-05-11T07:06:00.186678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T17:19:22.543462Z digest=sha256:6cddf8aa15aa0ff955e56754175b9a3d1b8d1b05e26c5bd03c3d70ead18da9e8

Observation c03e8019-6a5c-4010-88cf-7d9bc4889ff6 · inbound

ELT: Elastic Looped Transformers for Visual Generation cites this paper.

ELT: Elastic Looped Transformers for Visual Generation Looped Transformers for Length Generalization

Reference 16

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no resolver link, observed 2026-08-02T16:35:03.155910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T16:35:03.155910Z digest=sha256:77d12bdd7688ff796aab6916d625f2c974213fbe96b048ab4ae44147b2141324

Observation 441218a9-2ed3-4888-a8ae-b08199911a77 · inbound

Do Transformers Use their Depth Adaptively? Evidence from a Relational Reasoning Task cites this paper.

Do Transformers Use their Depth Adaptively? Evidence from a Relational Reasoning Task Looped Transformers for Length Generalization

Reference 6

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arxiv_id, observed 2026-05-11T10:16:07.428196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:34:02.796850Z digest=sha256:f215162345109f7eec21e88766f1780cdc715d7db9dbf318a486c16b6d865f14

Observation f6f131da-4733-447f-9d19-993d060f4fa1 · 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 Looped Transformers for Length Generalization

Reference 17

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arxiv_id, observed 2026-05-10T10:39:38.238845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T10:37:45.355872Z digest=sha256:f4bf61618b38f4c416bc9675e56d0f290d4ff70941483270bf96ece7ed238654

Observation 43c64a2f-26fa-4b03-b483-e405ee0251e1 · inbound

LoopCTR: Unlocking the Loop Scaling Power for Click-Through Rate Prediction cites this paper.

LoopCTR: Unlocking the Loop Scaling Power for Click-Through Rate Prediction Looped Transformers for Length Generalization

Reference 5

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arxiv_id, observed 2026-05-11T13:26:04.209043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T01:44:44.346732Z digest=sha256:c30929aa2e13900cdb4876339953ca396ad432c3b699b1c0d9e8735331aa3601

Observation aa699c43-baa0-4faf-8c66-0a5d995ee821 · inbound

LoopQ: Quantization for Recursive Transformers cites this paper.

LoopQ: Quantization for Recursive Transformers Looped Transformers for Length Generalization

Reference 8

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arxiv_id, observed 2026-05-20T22:43:50.892943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T22:41:55.787556Z digest=sha256:5d51a25847c00ca81bb9ec8381839f2196057e0a9e453399fc4c319310e0e09a

Observation 550de911-c630-4481-826e-f976a511b394 · inbound

Simply Stabilizing the Loop via Fully Looped Transformer cites this paper.

Simply Stabilizing the Loop via Fully Looped Transformer Looped Transformers for Length Generalization

Reference 8

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arxiv_id, observed 2026-05-20T23:23:51.691208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-20T23:19:28.027625Z digest=sha256:4dc4198d4e5994cf756b35e7ee1bd75f716d92f36c3c3824d116db73d764f6c9

Observation ae86a2a4-6957-42ce-af6f-020da5617f8f · inbound

Looped Diffusion Language Models cites this paper.

Looped Diffusion Language Models Looped Transformers for Length Generalization

Reference 18

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arxiv_id, observed 2026-06-29T23:14:01.126157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-29T23:13:12.343355Z digest=sha256:bf39f816a1a30823a4a0ce174407c96362e064e3f659abab91be5d6340ad67c3

Observation 12f64f99-8d90-4207-9310-f64435b45eec · inbound

Stabilizing Recurrent Dynamics for Test-Time Scalable Latent Reasoning in Looped Language Models cites this paper.

Stabilizing Recurrent Dynamics for Test-Time Scalable Latent Reasoning in Looped Language Models Looped Transformers for Length Generalization

Reference 7

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verified exact
arxiv_id, observed 2026-07-01T16:55:50.835789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-29T20:04:32.090919Z digest=sha256:a964eb656ca636ebe01f13f2e3c55025118a4105b56af5424ca44a147d4c1677

Observation 0c6cddee-7fa1-49e8-9277-44e96a0526b6 · inbound

Anti Mode-Collapse in Mean-Field Transformer via Auxiliary Variables cites this paper.

Anti Mode-Collapse in Mean-Field Transformer via Auxiliary Variables Looped Transformers for Length Generalization

Reference 5

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arxiv_id, observed 2026-06-29T08:53:16.114048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-29T08:47:00.152997Z digest=sha256:2b19b7d346a0d2fb7a510f7ebb0f846315ed17fbedf34910665a51156c582ccf

Observation 2234f3c1-7deb-4244-90a5-39605e89e0ed · inbound

Skip a Layer or Loop It? Learning Program-of-Layers in LLMs cites this paper.

Skip a Layer or Loop It? Learning Program-of-Layers in LLMs Looped Transformers for Length Generalization

Reference 5

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arxiv_id, observed 2026-07-02T12:36:57.352718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-28T01:56:34.435152Z digest=sha256:35eb57be91251e71b0fe03dcd5f3f6762da496270871bd5020d57140bb534628

Observation faa4470c-9773-4f36-afeb-44e2f5062fc4 · inbound

Recursive Scaling in Masked Diffusion Models cites this paper.

Recursive Scaling in Masked Diffusion Models Looped Transformers for Length Generalization

Reference 47

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arxiv_id, observed 2026-07-03T19:58:54.922167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-06-27T01:44:05.022187Z digest=sha256:9f54ee60c8f8f936e09646a57bfc9cbb72e6fc1db15f36d1e2debbcbf3a3253b

Observation e5a1063d-100e-41c4-b431-1e4d3ff4c2fd · inbound

Repeated Shared Access Enables Grokking, but Edit Propagation Depends on an Addressable Memory cites this paper.

Repeated Shared Access Enables Grokking, but Edit Propagation Depends on an Addressable Memory Looped Transformers for Length Generalization

Reference 8

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arxiv_id, observed 2026-07-04T01:09:18.587059Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-26T20:43:55.740662Z digest=sha256:1c15101144066d763ed88526dad30e0ba701836dc6f2f3e56649a8fc9f491beb

Observation 1c30e252-caf7-4f17-b262-0336746d2023 · inbound

Neural Scaling Universality: If Exponents Are Fixed, Time to Understand Coefficients cites this paper.

Neural Scaling Universality: If Exponents Are Fixed, Time to Understand Coefficients Looped Transformers for Length Generalization

Reference 46

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arxiv_id, observed 2026-07-04T17:20:00.909207Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-25T23:45:54.283436Z digest=sha256:9a174c5c549e993d663b1e122670863d2f324fead5593bcf9409a78b57d19f84

Observation e7600503-d615-4bf7-aa86-4448c6393ef9 · inbound

When Does Recurrence Become an Algorithm? Convergence Selection in Weight-Tied Looped Transformers cites this paper.

When Does Recurrence Become an Algorithm? Convergence Selection in Weight-Tied Looped Transformers Looped Transformers for Length Generalization

Reference 4

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no resolver link, observed 2026-08-01T10:14:10.974064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:14:10.974064Z digest=sha256:11b015743c944ff1cc29f12c29c004b2216cebe95bcc69e1abc8bdab2b88f415