Paper Citation Record · LEDGER

Extrapolation by Association: Length Generalization Transfer in Transformers

As of 7 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 4 inbound Pith citation observations for arXiv:2506.09251.

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

pith.paper-citation-record.v1
2506.09251 v2

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:59:24.796012Z

measured 54 of 54 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T17:31:45.986659Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-30T07:34:21.663944Z

Reference resolution

50 of 50 outbound references displayed

verified exact3
verified fuzzy6
unresolved41
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 33880408-792c-4816-8f9c-0f58a1f37073 · outbound

This paper cites Task Generalization With AutoRegressive Compositional Structure: Can Learning From $D$ Tasks Generalize to $D^{T}$ Tasks?.

Extrapolation by Association: Length Generalization Transfer in Transformers Task Generalization With AutoRegressive Compositional Structure: Can Learning From $D$ Tasks Generalize to $D^{T}$ Tasks?

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:20.162242Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37f88e86-24ab-43d2-b78f-0a377425a6c1 · outbound

This paper cites On Provable Length and Compositional Generalization.

Extrapolation by Association: Length Generalization Transfer in Transformers On Provable Length and Compositional Generalization

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:20.234971Z

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Observation 76ad8a4a-f215-403e-9aa7-52eaf28a75bb · outbound

This paper cites Llama 3 model card.

Extrapolation by Association: Length Generalization Transfer in Transformers Llama 3 model card

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:20.308611Z

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Observation 7f765904-2d86-4ee7-a0e0-0b94ac480286 · outbound

This paper cites Smollm - blazingly fast and remarkably powerful, 2024.

Extrapolation by Association: Length Generalization Transfer in Transformers Smollm - blazingly fast and remarkably powerful, 2024

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:20.373781Z

Source-reported events for the cited work

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Observation 7bfd8e7f-34d0-40cf-b64a-b39116e64054 · outbound

This paper cites Exploring length generalization in large language models.

Extrapolation by Association: Length Generalization Transfer in Transformers Exploring length generalization in large language models

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:59:27.317484Z

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.

Observation 47a34764-6462-4a1d-88a4-bdfcc550539b · outbound

This paper cites Zoology: Measuring and Improving Recall in Efficient Language Models.

Extrapolation by Association: Length Generalization Transfer in Transformers Zoology: Measuring and Improving Recall in Efficient Language Models

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:20.526214Z

Source-reported events for the cited work

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Observation 8bb30264-8fc4-4369-ab57-fb6def66075d · outbound

This paper cites Improving Length-Generalization in Transformers via Task Hinting.

Extrapolation by Association: Length Generalization Transfer in Transformers Improving Length-Generalization in Transformers via Task Hinting

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:20.605543Z

Source-reported events for the cited work

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Observation b785543a-3f2d-4b0b-9d52-3814a2b71986 · outbound

This paper cites Round and Round We Go! What makes Rotary Positional Encodings useful?.

Extrapolation by Association: Length Generalization Transfer in Transformers Round and Round We Go! What makes Rotary Positional Encodings useful?

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:20.725757Z

Source-reported events for the cited work

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Observation 82b13d89-1707-4373-9f77-1f4068a3200e · outbound

This paper cites Language Models are Few-Shot Learners.

Extrapolation by Association: Length Generalization Transfer in Transformers Language Models are Few-Shot Learners

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:20.841712Z

Source-reported events for the cited work

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Observation 7ca67220-9220-4ba3-9a23-a8377b262c95 · outbound

This paper cites Curve circuits.

Extrapolation by Association: Length Generalization Transfer in Transformers Curve circuits

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:20.947101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 465d7395-ede9-48cd-ba1a-71919f036cde · outbound

This paper cites Position coupling: Improving length generalization of arithmetic transformers using task structure.

Extrapolation by Association: Length Generalization Transfer in Transformers Position coupling: Improving length generalization of arithmetic transformers using task structure

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:59:27.166261Z

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.

Observation 9e830576-616b-49fb-9094-4eeb6c2afa7f · outbound

This paper cites LongRoPE: Extending LLM Context Window Beyond 2 Million Tokens.

Extrapolation by Association: Length Generalization Transfer in Transformers LongRoPE: Extending LLM Context Window Beyond 2 Million Tokens

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:21.226822Z

Source-reported events for the cited work

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Observation 3b8ccece-5595-4f9a-aa71-5b9018ad33a7 · outbound

This paper cites From Interpolation to Extrapolation: Complete Length Generalization for Arithmetic Transformers.

Extrapolation by Association: Length Generalization Transfer in Transformers From Interpolation to Extrapolation: Complete Length Generalization for Arithmetic Transformers

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:59:25.699231Z

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.

Observation 77160230-375d-4ef1-94e4-34081a613dcb · outbound

This paper cites Location Attention for Extrapolation to Longer Sequences.

Extrapolation by Association: Length Generalization Transfer in Transformers Location Attention for Extrapolation to Longer Sequences

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:59:25.418045Z

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.

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

This paper cites Looped Transformers for Length Generalization.

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

Reference 15

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7b13c42-d2cb-4235-a72f-e888ac8e96c1 · outbound

This paper cites Not All LLM Reasoners Are Created Equal.

Extrapolation by Association: Length Generalization Transfer in Transformers Not All LLM Reasoners Are Created Equal

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:21.688065Z

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Observation fc852dff-426e-4d09-a978-a6c5c21eddb2 · outbound

This paper cites Compositionality decomposed: How do neural networks generalise? Journal of Artificial Intelligence Research, 67: 0 757--795, 2020.

Extrapolation by Association: Length Generalization Transfer in Transformers Compositionality decomposed: How do neural networks generalise? Journal of Artificial Intelligence Research, 67: 0 757--795, 2020

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:59:26.939238Z

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.

Observation 37578f20-fd25-41b8-b168-17889a1cf32d · outbound

This paper cites The impact of positional encoding on length generalization in transformers.

Extrapolation by Association: Length Generalization Transfer in Transformers The impact of positional encoding on length generalization in transformers

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:21.964867Z

Source-reported events for the cited work

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Observation a0b6e6fa-3f8f-4697-9da3-2b0f4fe85944 · outbound

This paper cites Teaching Arithmetic to Small Transformers.

Extrapolation by Association: Length Generalization Transfer in Transformers Teaching Arithmetic to Small Transformers

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:22.085667Z

Source-reported events for the cited work

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Observation 9b37e4b3-07c9-4abc-aac8-65761039cf7c · outbound

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

Extrapolation by Association: Length Generalization Transfer in Transformers Self-Improving Transformers Overcome Easy-to-Hard and Length Generalization Challenges

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:22.214156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea75c76d-bdba-493b-842f-d864e0d628d9 · outbound

This paper cites On the power of convolution-augmented transformer.

Extrapolation by Association: Length Generalization Transfer in Transformers On the power of convolution-augmented transformer

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:59:26.698960Z

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.

Observation bbc82434-d7c4-414f-b00d-fa18c849919f · outbound

This paper cites Functional Interpolation for Relative Positions Improves Long Context Transformers.

Extrapolation by Association: Length Generalization Transfer in Transformers Functional Interpolation for Relative Positions Improves Long Context Transformers

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:22.439576Z

Source-reported events for the cited work

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Observation ec53643b-0ec3-463e-8512-a7b65201e533 · outbound

This paper cites Transformers Can Do Arithmetic with the Right Embeddings.

Extrapolation by Association: Length Generalization Transfer in Transformers Transformers Can Do Arithmetic with the Right Embeddings

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:22.551425Z

Source-reported events for the cited work

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Observation 7fa88278-8f65-4253-9aca-a6bcd8680afd · outbound

This paper cites The EOS Decision and Length Extrapolation.

Extrapolation by Association: Length Generalization Transfer in Transformers The EOS Decision and Length Extrapolation

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:22.652718Z

Source-reported events for the cited work

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Observation fa7483f7-0633-45e2-b450-6e51f0abe355 · outbound

This paper cites In-context Learning and Induction Heads.

Extrapolation by Association: Length Generalization Transfer in Transformers In-context Learning and Induction Heads

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:22.798473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ff12991-e5ea-4e52-b7de-3a961811a456 · outbound

This paper cites GPT-4 Technical Report.

Extrapolation by Association: Length Generalization Transfer in Transformers GPT-4 Technical Report

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:22.903100Z

Source-reported events for the cited work

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Observation b8944dab-d489-47cc-947f-2cd86631af48 · outbound

This paper cites YaRN: Efficient Context Window Extension of Large Language Models.

Extrapolation by Association: Length Generalization Transfer in Transformers YaRN: Efficient Context Window Extension of Large Language Models

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:23.012533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 416a25d7-da85-47df-b2a8-9a0c155093ee · outbound

This paper cites Train Short, Test Long: Attention with Linear Biases Enables Input Length Extrapolation.

Extrapolation by Association: Length Generalization Transfer in Transformers Train Short, Test Long: Attention with Linear Biases Enables Input Length Extrapolation

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:23.097510Z

Source-reported events for the cited work

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Observation 0a6dd0fc-2ec8-49df-b36d-685a7f6506f8 · outbound

This paper cites Understanding Addition in Transformers.

Extrapolation by Association: Length Generalization Transfer in Transformers Understanding Addition in Transformers

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:23.183727Z

Source-reported events for the cited work

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Observation 49e6a529-0013-4ec1-a89d-15310ee7de78 · outbound

This paper cites Understanding Addition and Subtraction in Transformers.

Extrapolation by Association: Length Generalization Transfer in Transformers Understanding Addition and Subtraction in Transformers

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:23.268938Z

Source-reported events for the cited work

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Observation b78d701f-0376-4daa-9a6e-8a75baf8af62 · outbound

This paper cites Compositional capabilities of autoregressive transformers: A study on synthetic, interpretable tasks.

Extrapolation by Association: Length Generalization Transfer in Transformers Compositional capabilities of autoregressive transformers: A study on synthetic, interpretable tasks

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:59:26.507125Z

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.

Observation 95a3bfde-2e81-43cf-a132-86c6989a957d · outbound

This paper cites Randomized Positional Encodings Boost Length Generalization of Transformers.

Extrapolation by Association: Length Generalization Transfer in Transformers Randomized Positional Encodings Boost Length Generalization of Transformers

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:23.490891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d1d0ade-6547-41b4-9726-06fefd1abf76 · outbound

This paper cites Explicitly Encoding Structural Symmetry is Key to Length Generalization in Arithmetic Tasks.

Extrapolation by Association: Length Generalization Transfer in Transformers Explicitly Encoding Structural Symmetry is Key to Length Generalization in Arithmetic Tasks

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:23.494086Z

Source-reported events for the cited work

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Observation f379a385-fef3-436b-a249-b43435063d3f · outbound

This paper cites Multitask prompted training enables zero-shot task generalization.

Extrapolation by Association: Length Generalization Transfer in Transformers Multitask prompted training enables zero-shot task generalization

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:23.497635Z

Source-reported events for the cited work

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Observation 7a215239-c687-43aa-aaaa-b184527bfd3f · outbound

This paper cites Positional Description Matters for Transformers Arithmetic.

Extrapolation by Association: Length Generalization Transfer in Transformers Positional Description Matters for Transformers Arithmetic

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:23.504423Z

Source-reported events for the cited work

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Observation 82ea1acf-e236-4a76-a936-31c7952b4cda · outbound

This paper cites RoFormer: Enhanced Transformer with Rotary Position Embedding.

Extrapolation by Association: Length Generalization Transfer in Transformers RoFormer: Enhanced Transformer with Rotary Position Embedding

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:23.570697Z

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Observation f79164a6-a64d-4590-95be-a8493a301f24 · outbound

This paper cites Interpretability in the Wild: a Circuit for Indirect Object Identification in GPT-2 small.

Extrapolation by Association: Length Generalization Transfer in Transformers Interpretability in the Wild: a Circuit for Indirect Object Identification in GPT-2 small

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:23.693310Z

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Observation e86f633f-8665-4e17-946b-9ef729a0dc7b · outbound

This paper cites Emergent Abilities of Large Language Models.

Extrapolation by Association: Length Generalization Transfer in Transformers Emergent Abilities of Large Language Models

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:23.764596Z

Source-reported events for the cited work

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Observation d4d1d9ed-c6fb-4f9f-bf7c-bc19e82dd2cd · outbound

This paper cites Generating random spanning trees more quickly than the cover time.

Extrapolation by Association: Length Generalization Transfer in Transformers Generating random spanning trees more quickly than the cover time

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:23.829882Z

Source-reported events for the cited work

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Observation 12ae6f7c-46ad-47ad-ba03-f62dfd1dbf5a · outbound

This paper cites Do Large Language Models Have Compositional Ability? An Investigation into Limitations and Scalability.

Extrapolation by Association: Length Generalization Transfer in Transformers Do Large Language Models Have Compositional Ability? An Investigation into Limitations and Scalability

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:23.877330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf976f1f-9c79-4d43-a47c-1f432f944a26 · outbound

This paper cites Exploring compositional generalization of large language models.

Extrapolation by Association: Length Generalization Transfer in Transformers Exploring compositional generalization of large language models

Reference 41

Resolution: verified exact; doi, observed 2026-08-07T04:59:26.218317Z

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.

Observation b53566eb-d69f-4318-bb93-bc6ecbbd7aa4 · outbound

This paper cites From local structures to size generalization in graph neural networks.

Extrapolation by Association: Length Generalization Transfer in Transformers From local structures to size generalization in graph neural networks

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:59:26.011943Z

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.

Observation aef55765-ae28-4010-90d0-c3d1e47d1f2b · outbound

This paper cites Skill-Mix: a Flexible and Expandable Family of Evaluations for AI models.

Extrapolation by Association: Length Generalization Transfer in Transformers Skill-Mix: a Flexible and Expandable Family of Evaluations for AI models

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:23.971111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29f2d413-7634-4ce7-b67a-fc133faa463e · outbound

This paper cites On the Out-Of-Distribution Generalization of Multimodal Large Language Models.

Extrapolation by Association: Length Generalization Transfer in Transformers On the Out-Of-Distribution Generalization of Multimodal Large Language Models

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:24.045107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43353b2d-a060-49c6-b053-a5b93d897d63 · outbound

This paper cites Can Models Learn Skill Composition from Examples?.

Extrapolation by Association: Length Generalization Transfer in Transformers Can Models Learn Skill Composition from Examples?

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:24.138329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites What Algorithms can Transformers Learn? A Study in Length Generalization.

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.

Observation fe812d76-337a-468b-bb5d-f301e3e82b77 · outbound

This paper cites Transformers Can Achieve Length Generalization But Not Robustly.

Extrapolation by Association: Length Generalization Transfer in Transformers Transformers Can Achieve Length Generalization But Not Robustly

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:24.440272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5fe4a088-6910-42c2-9ab2-8c968b0b28fd · outbound

This paper cites @esa (Ref.

Extrapolation by Association: Length Generalization Transfer in Transformers @esa (Ref

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:24.587952Z

Source-reported events for the cited work

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Observation cf950190-ac2b-4194-9e00-327e15c5523e · outbound

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Extrapolation by Association: Length Generalization Transfer in Transformers Unresolved cited work

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:24.712076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 245a4987-fe07-4383-864a-66d84e865991 · outbound

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Extrapolation by Association: Length Generalization Transfer in Transformers Gw4YHj hk 9(kIwxS4g6ŘT kI,pk QXf4!׵G 1F <Fi<5 Si,pk -)#cA M;5zt`vj

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-07T04:59:24.796012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 9188c2a1-aea5-40cf-955f-a0c64e354a7f · inbound

Resizing the giants: How modelling adiabatic interiors impacts predicted planetary radii cites this paper.

Resizing the giants: How modelling adiabatic interiors impacts predicted planetary radii Extrapolation by Association: Length Generalization Transfer in Transformers

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-13T18:39:30.627856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1082e5a-8ddb-47a3-b8c7-d139f47efade · 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 Extrapolation by Association: Length Generalization Transfer in Transformers

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-10T10:39:38.094495Z

Source-reported events for the cited work

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Observation db4eb563-96aa-4d12-9672-69cfe27f1e89 · inbound

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

Stabilizing Extrapolation in Looped Transformers via Learned Stochastic Stopping Extrapolation by Association: Length Generalization Transfer in Transformers

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-06-30T07:34:21.665711Z

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.

Observation dbb801d3-d95d-4221-8c25-ca90905e7e47 · 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 Extrapolation by Association: Length Generalization Transfer in Transformers

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-01T17:31:45.986659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.