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Paper Citation Record · LEDGER

Looped Transformers for Length Generalization

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 27 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 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 27 of 27 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:12:36.387945Z

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-11T10:29:05.384381Z digest=sha256:ab20ee7208b8f279218c3a896a2328807639705a8e7813b054b9067d2bba5d45

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:54:29.153923Z digest=sha256:b8cea5ec843aeb50c003d3e62d27f176b260353424e41c8187e3af47a3798d3f

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=sha256:8bf183e11b25f7ee6844d0c16c40e94526ba832b8aab8a27fa1343a82a1a1520

Observation 0f7f533e-c6a0-4330-876e-f23935ea085e · inbound

Intra-Layer Recurrence in Transformers for Language Modeling cites this paper.

Intra-Layer Recurrence in Transformers for Language Modeling Looped Transformers for Length Generalization

Reference 6

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no resolver link, observed 2026-08-16T04:12:36.387945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:12:36.387945Z digest=sha256:662f2ecdc9f620e4962ddeeb59233de0e5eb915f7db75363aa3444a5d0fac274

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=sha256:099f4e24c2e2c8bc3c4485b04aad8771c78d723187a6d7eb9d9df070ad1a2ce8

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:59:21.582522Z digest=sha256:ee91147a5fae9ae4f571a8858e9db8264f2da01305bc6672809b674e9efbda55

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:33:19.337300Z digest=sha256:ead48d66b41da3870d2af1ebf1bddbb2aa3f25caba3b615f2355ed7b1ba4716d

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T00:01:41.852577Z digest=sha256:a0f77f6f396b901c912999fd8add50194961043153080f54263ce9ff4f881be7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-18T10:15:10.746336Z digest=sha256:2bf2875656b35c682f93f1fe376945ee2995de60d6ae1d31310af6dcb1c2248f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-14T21:09:08.571994Z digest=sha256:a21db7607cfdfcb27dfc421526ff1405b516b384c9757d66bf4085332abb60ad

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-14T21:07:37.032208Z digest=sha256:d62ce7532357aa5cf34c86e13e21bf952843b40f5311a5e26f69364a92177ab8

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-13T22:14:56.746512Z digest=sha256:cd0fb0c7443392519f680c5f2d2a75812f4064915f33bfd954b8819ada26b1a8

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-10T17:19:22.543462Z digest=sha256:aca5eb5203eb9ec86cf330fdcae4378e185bb8725d36f64f08e80b8f4436e14a

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=sha256:59b3200d1b0ab5b22146ad2bf8a56d3374dba8b629a0d7cfd9bf8aea8ecde7ed

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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verified exact
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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-10T15:34:02.796850Z digest=sha256:e724ba115479d6b94b62657ebb8115d73cea107ede8405373dbd3102797d0371

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-10T10:37:45.355872Z digest=sha256:6037f5a5d5e91aa7218f8da840684deece396b99d9416870703e36e4effdcdc8

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-10T01:44:44.346732Z digest=sha256:7706983c66b01f1ce98fda61263b3718980f578c26c30713f4eed7260d7835f5

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-20T22:41:55.787556Z digest=sha256:1fabceed12f9caad62bce5895f97b7644adb799a727cd8975706856d4ba7c64f

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-20T23:19:28.027625Z digest=sha256:8ce2c00eb22295cba5c94ceac640374a1d029d170497776b813813ef9aa32eb9

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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verified exact
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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-29T23:13:12.343355Z digest=sha256:3e1f4c5b4a5699999a83961468f227bc4709c23d3bd71eface49e7e603b20141

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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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-29T20:04:32.090919Z digest=sha256:f28e924a160d4e660c9f095f2670c13197efb3700b8a7fdebb8f7dd520f22857

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-29T08:47:00.152997Z digest=sha256:7eed85f1752610ff8956a8a1fc56af747b648a3b6af5c53376f0fccf1c8e2b09

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-28T01:56:34.435152Z digest=sha256:598f248a16fc3bb2e416ca88b6ca58801b599f416e0173bb55ce992874977e68

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

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-06-27T01:44:05.022187Z digest=sha256:41c506a69eda538cc2f1addd8971036b9902cf173c8db067621d7374e4757f88

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-26T20:43:55.740662Z digest=sha256:b889a22947ceff00a24ed07dc8f9ee008ef6fcaf02a24e738add4514f91172c6

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-25T23:45:54.283436Z digest=sha256:b51139c2f30f9f3dfdf3f6aa9f7892cc43ea3a67adf8c79a530db49f53b24f7c

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:e861ca1a11f2cbe47f7f856f66e7952e36b752dfb30e4bdf87cf32a721ab2e92