Paper Citation Record · LEDGER

A Framework for Non-Linear Attention via Modern Hopfield Networks

As of 19 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2506.11043.

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

pith.paper-citation-record.v1
2506.11043 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:25:00.038779Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T10:03:27.747512Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

12 of 12 outbound references displayed

verified exact0
verified fuzzy4
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 75d677d0-289c-400f-b104-feb5a61b6d83 · outbound

This paper cites an unresolved cited work.

A Framework for Non-Linear Attention via Modern Hopfield Networks Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:25:00.411192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation af498938-6041-45b0-8ad0-39a9bebf12c4 · outbound

This paper cites Neural Machine Translation by Jointly Learning to Align and Translate.

A Framework for Non-Linear Attention via Modern Hopfield Networks Neural Machine Translation by Jointly Learning to Align and Translate

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T15:24:59.078509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99abc5fb-3282-4a86-88b3-5c7156144115 · outbound

This paper cites an unresolved cited work.

A Framework for Non-Linear Attention via Modern Hopfield Networks Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:25:00.259523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 24b98bb8-061f-41a6-ac4a-9626336e328c · outbound

This paper cites Rethinking Attention with Performers.

A Framework for Non-Linear Attention via Modern Hopfield Networks Rethinking Attention with Performers

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T15:24:59.207141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0dc6ac6-4758-459e-b710-160676127d58 · outbound

This paper cites an unresolved cited work.

A Framework for Non-Linear Attention via Modern Hopfield Networks Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:25:00.207891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a06d4834-8f40-4c4a-928a-ce1a072699fb · outbound

This paper cites 4171–4186.

A Framework for Non-Linear Attention via Modern Hopfield Networks 4171–4186

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:25:00.194805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 867de15d-c1fb-4873-85ec-34ea39f22258 · outbound

This paper cites an unresolved cited work.

A Framework for Non-Linear Attention via Modern Hopfield Networks Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:25:00.181037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 12754a31-e83c-4a16-b4ab-9af581b806a8 · outbound

This paper cites an unresolved cited work.

A Framework for Non-Linear Attention via Modern Hopfield Networks Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:25:00.164532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 47ea9fb2-f80a-4d02-b9f4-8ac3aee54c9d · outbound

This paper cites Hopfield, Dense associative memory for pattern recognition , Advances in Neural Information Processing Systems 29 (D.

A Framework for Non-Linear Attention via Modern Hopfield Networks Hopfield, Dense associative memory for pattern recognition , Advances in Neural Information Processing Systems 29 (D

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:25:00.151165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8c0bcef2-9d7a-4a88-9714-ed895aaf2d1b · outbound

This paper cites Hopfield, Large associative memory problem in neurobiology and machine learning, International Conference on Learning Representations, 2021.

A Framework for Non-Linear Attention via Modern Hopfield Networks Hopfield, Large associative memory problem in neurobiology and machine learning, International Conference on Learning Representations, 2021

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:25:00.136893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 84ac48f7-21a1-450e-9330-7d2b9ee456e9 · outbound

This paper cites an unresolved cited work.

A Framework for Non-Linear Attention via Modern Hopfield Networks Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:25:00.123292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f9bb4370-3280-4c48-a4f5-bdf0e6853086 · outbound

This paper cites Gomez, Lukasz Kaiser, and Illia Polosukhin, Attention is all you need , Advances in Neural Information Processing Systems 30 (I.

A Framework for Non-Linear Attention via Modern Hopfield Networks Gomez, Lukasz Kaiser, and Illia Polosukhin, Attention is all you need , Advances in Neural Information Processing Systems 30 (I

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:25:00.108573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 59b66704-1dc8-42ab-a951-08dfa4d61d62 · inbound

From Self-Attention to Connection Laplacian: A Unified Operator View of Transformers cites this paper.

From Self-Attention to Connection Laplacian: A Unified Operator View of Transformers A Framework for Non-Linear Attention via Modern Hopfield Networks

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-07-14T10:10:24.509576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.