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Paper Citation Record · LEDGER

Length Generalization Bounds for Transformers

As of 23 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 2 inbound Pith citation observations for arXiv:2603.02238.

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

pith.paper-citation-record.v1
2603.02238 v2

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T23:51:27.999420Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T20:54:13.720910Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T18:27:31.361700Z

Reference resolution

11 of 11 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 783e2175-7285-4a4f-b0ca-a13472e28a3d · outbound

This paper cites Izzo, Z., Nichani, E., and Lee, J.

Length Generalization Bounds for Transformers Izzo, Z., Nichani, E., and Lee, J

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T23:51:27.382479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T23:51:27.382479Z digest=sha256:fc7f160b0b1882092c7d11f03d1479d8e7cebe33a83ad114fa9abb1a9c5f66bc

Observation 453ff8be-7ff0-48aa-927e-d6db72d3096a · outbound

This paper cites Investigating the Limitations of Transformers with Simple Arithmetic Tasks.

Length Generalization Bounds for Transformers Investigating the Limitations of Transformers with Simple Arithmetic Tasks

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T23:51:27.559070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T23:51:27.559070Z digest=sha256:1a2d9745969beba5f07de49045a34e344362d39aa6e79c387a966fd1cdd31799

Observation 1fbdc163-175e-4c08-a448-04f08edad8c7 · outbound

This paper cites S¨alzer, M., K ¨ocher, C., Kozachinskiy, A., Zetzsche, G., and Lin, A.

Length Generalization Bounds for Transformers S¨alzer, M., K ¨ocher, C., Kozachinskiy, A., Zetzsche, G., and Lin, A

Reference 8

Resolution
malformed identifier
no resolver link, observed 2026-08-02T23:51:27.646300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T23:51:27.646300Z digest=sha256:66b224cb065503869b482e00d23bd881c32a5b4d30180c18bae7bdcff030b244

Observation c55bae44-c1e7-40b6-8e39-a0bd0cd49aa3 · outbound

This paper cites Wang, Z., Nichani, E., Bietti, A., Damian, A., Hsu, D., Lee, J.

Length Generalization Bounds for Transformers Wang, Z., Nichani, E., Bietti, A., Damian, A., Hsu, D., Lee, J

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T23:51:27.775373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T23:51:27.775373Z digest=sha256:86c31f45818244247090a996db9f8d4e9559c71d345c51a5ed7136fb8f68ba64

Observation 5e0911b7-ed8a-4997-b99b-36d5bae79350 · outbound

This paper cites Yang, A., Strobl, L., Chiang, D., and Angluin, D.

Length Generalization Bounds for Transformers Yang, A., Strobl, L., Chiang, D., and Angluin, D

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T23:51:27.999420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T23:51:27.999420Z digest=sha256:440eb4a326a3c9944e76e216a77f29a5040c7e58d7170ed41216c044ed4c0499

Observation fe6c9c27-38ab-45dd-a385-bced33801a32 · outbound

This paper cites Gr¨adel, E., Kolaitis, P.

Length Generalization Bounds for Transformers Gr¨adel, E., Kolaitis, P

Reference 1978

Resolution
unresolved
no resolver link, observed 2026-08-02T23:51:27.280515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T23:51:27.280515Z digest=sha256:f2835b5cd054d86c4ae73b459090eeb59a26c43914f326923c6e3b1ca2b2b020

Observation af51bd36-d29e-4e18-8665-d668d2c4a6bd · outbound

This paper cites an unresolved cited work.

Length Generalization Bounds for Transformers Unresolved cited work

Reference 2010

Resolution
unresolved
no resolver link, observed 2026-08-02T23:51:27.462817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T23:51:27.462817Z digest=sha256:463143726d28faea398a28ba3cf071aa6c4750d2348913fb7e7273782644e106

Observation 1a3305de-25c9-44be-a139-64d02cdf09e1 · outbound

This paper cites an unresolved cited work.

Length Generalization Bounds for Transformers Unresolved cited work

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-02T23:51:27.903842Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T23:51:27.903842Z digest=sha256:c12bcaccc7ed415dd846708672e4153dcc6b31b46d4445b7b79063a24bb656dc

Observation 9e9c01d1-a12a-449b-a273-1c95583c40ba · outbound

This paper cites Etessami, K., Vardi, M.

Length Generalization Bounds for Transformers Etessami, K., Vardi, M

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-02T23:51:27.179981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T23:51:27.179981Z digest=sha256:2e4982b9215c864985baf97f2cfef7068f1277ba0573bd581b08cec7b6b79473

Observation 0ec02ae7-89fb-43c0-abaa-b2bb6d682afa · outbound

This paper cites Transformers are Inherently Succinct.

Length Generalization Bounds for Transformers Transformers are Inherently Succinct

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-02T23:51:27.060687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T23:51:27.060687Z digest=sha256:f0cd53bf3aa81be6d45b18ee2909c38194c4f633c8ff985475695e6110140670

Observation f5610f64-6faf-41fe-b650-bc26a03c1179 · outbound

This paper cites Del´etang, G., Ruoss, A., Grau-Moya, J., Genewein, T., Wen- liang, L.

Length Generalization Bounds for Transformers Del´etang, G., Ruoss, A., Grau-Moya, J., Genewein, T., Wen- liang, L

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-02T23:51:27.104333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T23:51:27.104333Z digest=sha256:c78db8b4b9120cf755a86709a72de9634aec36ff4b1113c6d2525f201d8c044d

Pith citing papers

Observation fe487086-bbde-439a-a855-06f14894cb6b · inbound

Any-Dimensional Learning by Sampling cites this paper.

Any-Dimensional Learning by Sampling Length Generalization Bounds for Transformers

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-07-10T18:27:31.362829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-10T18:20:22.470034Z digest=sha256:9c8de15fd37ac6f9bf3e030be10a600b96746480e9f6ee77c51d7a2aef0e524d

Observation db9f56d1-cdce-446e-bf75-656dc33af59a · inbound

Hierarchical Domain Generalization cites this paper.

Hierarchical Domain Generalization Length Generalization Bounds for Transformers

Reference 115

Resolution
unresolved
no resolver link, observed 2026-08-01T20:54:13.720910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T20:54:13.720910Z digest=sha256:a094cb601c42ec107ca9815b331a5f29c14e5ccb7083cfdc1dfee9adca641a58