Paper Citation Record · LEDGER

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize

As of 31 July 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2605.04396.

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

pith.paper-citation-record.v1
2605.04396 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-08T18:03:24.999367Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-31T06:34:12.847434+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-21T07:30:07.287938Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-21T07:34:02.922945Z

Reference resolution

27 of 27 outbound references displayed

verified exact1
verified fuzzy22
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 366be410-87f7-4f3e-97d3-1be6584ef195 · outbound

This paper cites IEEE Transactions on Pattern Analysis and Machine Intelligence , year=.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize IEEE Transactions on Pattern Analysis and Machine Intelligence , year=

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.444007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 8871696e-7a8a-4570-bed2-ba6ee4ebd388 · outbound

This paper cites Proceedings of the 42nd International Conference on Machine Learning (ICML) , year =.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize Proceedings of the 42nd International Conference on Machine Learning (ICML) , year =

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.440257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 2e1f6d05-654e-499d-874a-b9f12de5c46b · outbound

This paper cites Advances in Neural Information Processing Systems , year =.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize Advances in Neural Information Processing Systems , year =

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.428561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation f16417e7-9ccf-473a-83ed-4d3e48f36b4f · outbound

This paper cites Proceedings of the National Academy of Sciences , volume=.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize Proceedings of the National Academy of Sciences , volume=

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.432304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 8076a9c1-01ed-4014-80cf-7db3eac4023b · outbound

This paper cites An explainable transformer circuit for compositional generalization.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize An explainable transformer circuit for compositional generalization

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:50:41.181429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 5c4eaaf0-a884-41a4-b19e-5782767226a3 · outbound

This paper cites In-context Learning and Induction Heads.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize In-context Learning and Induction Heads

Reference 6

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T03:49:09.911598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 1db7fa8b-532a-45d3-aaff-d0c440eb7b3e · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize Advances in Neural Information Processing Systems , volume=

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.421286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation f974d54d-caf4-4403-a2df-78586a81a0dd · outbound

This paper cites Understanding the Initial Condensation of Convolutional Neural Networks.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize Understanding the Initial Condensation of Convolutional Neural Networks

Reference 8

Resolution: metadata mismatch; arxiv_id, observed 2026-06-26T02:16:15.819666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation f6cf4444-0ce6-480c-8ede-b70a39bd75d5 · outbound

This paper cites An overview of condensation phenomenon in deep learning.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize An overview of condensation phenomenon in deep learning

Reference 9

Resolution: metadata mismatch; local_arxiv, observed 2026-05-09T06:50:41.178011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 76ed197d-9287-44a6-850a-b4d7a75cb84b · outbound

This paper cites International conference on learning representations , year=.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize International conference on learning representations , year=

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.424981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 8d22a454-8933-4cc4-89ce-1a904a7ed764 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize Advances in Neural Information Processing Systems , volume=

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.436127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 91430db2-bd1a-4339-915d-3e317f32ec4e · outbound

This paper cites International Conference on Learning Representations (ICLR) , year =.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize International Conference on Learning Representations (ICLR) , year =

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.417470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation ba6fc2ee-2ab1-497b-8380-6b562bd88379 · outbound

This paper cites Grokking: Generalization Beyond Overfitting on Small Algorithmic Datasets.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize Grokking: Generalization Beyond Overfitting on Small Algorithmic Datasets

Reference 13

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T19:28:53.636933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation b59cd344-7d7e-468d-9b89-dc34a367e7ea · outbound

This paper cites International Conference on Learning Representations (ICLR) , year =.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize International Conference on Learning Representations (ICLR) , year =

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.388032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 88666e9b-d927-4801-a429-8ee261547a72 · outbound

This paper cites International Conference on Learning Representations (ICLR) , year =.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize International Conference on Learning Representations (ICLR) , year =

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.380221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 2003202a-1fad-45e5-8772-e3c1b146a534 · outbound

This paper cites Proceedings of the 42nd International Conference on Machine Learning (ICML) , year =.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize Proceedings of the 42nd International Conference on Machine Learning (ICML) , year =

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.391779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 264baa6f-82fc-4b75-89f1-cb8663d9bd34 · outbound

This paper cites Advances in neural information processing systems , volume=.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize Advances in neural information processing systems , volume=

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.371738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 80f43289-4e4b-467a-9555-15efd83221cb · outbound

This paper cites Conference on Learning Theory , pages=.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize Conference on Learning Theory , pages=

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.404853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation df447051-f6ff-440f-b72d-7dcf5d1e7bb6 · outbound

This paper cites Advances in neural information processing systems , volume=.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize Advances in neural information processing systems , volume=

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.396062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 539c663a-8d05-44d6-8ad2-b9e2c4205746 · outbound

This paper cites Advances in neural information processing systems , volume=.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize Advances in neural information processing systems , volume=

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.400659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation f036504f-a2df-424b-a0ac-fbf92405f52e · outbound

This paper cites Advances in neural information processing systems , volume=.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize Advances in neural information processing systems , volume=

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.409207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 8cbb877d-0a63-4e86-a67d-3006ab96223e · outbound

This paper cites Advances in neural information processing systems , year=.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize Advances in neural information processing systems , year=

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.366887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 07a7c057-6ed3-4dea-98e9-4a872023640b · outbound

This paper cites International Conference on Learning Representations (ICLR) , year =.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize International Conference on Learning Representations (ICLR) , year =

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.413498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation b8fb4c6f-d98a-44f4-9eee-57393cbab647 · outbound

This paper cites Advances in neural information processing systems , year=.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize Advances in neural information processing systems , year=

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.384273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation d6bed002-53e9-4b7b-a736-08b3ecb82ce4 · outbound

This paper cites 2023 , publisher=.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize 2023 , publisher=

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.357755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 2847beba-6ee5-4f8b-9dc0-21b74fc5afb8 · outbound

This paper cites 2018 , publisher=.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize 2018 , publisher=

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.362524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Observation 92971e6b-c72e-4ac1-b2b9-abda3dba4f6e · outbound

This paper cites International conference on machine learning , pages=.

Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize International conference on machine learning , pages=

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:06:46.376415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

Pith citing papers

Observation e5b41ef9-6680-409a-92d4-915726608a92 · inbound

Weight Decay Regimes in Grokking Transformers: Cheap Online Diagnostics cites this paper.

Weight Decay Regimes in Grokking Transformers: Cheap Online Diagnostics Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize

Reference 3

Resolution: metadata mismatch; local_arxiv, observed 2026-05-21T07:34:02.924356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.