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Paper Citation Record · LEDGER

On Transformer Dynamics

As of 17 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.13295.

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

pith.paper-citation-record.v1
2607.13295 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T05:49:29.479847Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 39021abb-5b25-4e63-938a-8fa917f1cbd8 · outbound

This paper cites an unresolved cited work.

On Transformer Dynamics Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:27.407962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:27.407962Z digest=sha256:8df3011a0755a6ed826adfaba217f42c657093443e3db782c893ec56c1cc35a3

Observation f796b427-48c1-4ea7-97c9-79d47902e888 · outbound

This paper cites Erd˝ os, A.

On Transformer Dynamics Erd˝ os, A

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:27.482575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:27.482575Z digest=sha256:5f0d50ae28cc40ed6f344123c1ef31e6616c451bd9e156aa15b016c4008bb907

Observation 8df2ef2f-c9d0-47e1-a441-1186dce670a8 · outbound

This paper cites K˝ onig, ¨Uber Graphen und ihre Anwendung auf Determinantentheorie und Mengenlehre, Math.

On Transformer Dynamics K˝ onig, ¨Uber Graphen und ihre Anwendung auf Determinantentheorie und Mengenlehre, Math

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:27.644313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:27.644313Z digest=sha256:2983aa112399f35f9638310aaaef92bf95cf8b6202c59fd4084302e7319dad97

Observation 0d25dd13-b32a-4e05-be81-869ca1e139dc · outbound

This paper cites an unresolved cited work.

On Transformer Dynamics Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:27.819691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:27.819691Z digest=sha256:c98c0941ee40b2f4a8b86bc6d1ccccf38e16e6a577d99126d96a28b2c0cb9c49

Observation bea94da5-125e-4d00-825b-741f37379857 · outbound

This paper cites Kratzke, B.

On Transformer Dynamics Kratzke, B

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:27.967587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:27.967587Z digest=sha256:21ec9d572941bcf6baed77886ad559c374a55ba2b4c926a5f63770b01b1552d3

Observation b19af0ad-3cbe-4201-bcb9-83f1bfae2a3d · outbound

This paper cites an unresolved cited work.

On Transformer Dynamics Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:28.150267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:28.150267Z digest=sha256:31812a2c36e9b270c853ca093fe9d2719e6cedbb40dc6f722ba9868d68668286

Observation 7b9f5f97-dc91-40dd-a15d-68a00e4dc73a · outbound

This paper cites Huang and B.

On Transformer Dynamics Huang and B

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:28.296174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:28.296174Z digest=sha256:ed99059adca41279c74793cb948d3864d291d64780a43db3f1500b0cae78c47a

Observation ba3db4e0-5f4e-40a6-91ab-67c0148ac615 · outbound

This paper cites A mathematical perspective on Transformers.

On Transformer Dynamics A mathematical perspective on Transformers

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:28.420324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:28.420324Z digest=sha256:67412054d537df8668ac39ba4894abbc4054e002d08e6bbfb2e3226d8c166643

Observation 1103d461-5d19-4565-a24e-4aeb1bc30786 · outbound

This paper cites Vaswani, N.

On Transformer Dynamics Vaswani, N

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:28.480732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:28.480732Z digest=sha256:158ad2b642b1e0bde159daef484802d6a3185ab14c7dfc64839c244bfc0847f0

Observation c9252b73-345b-46e4-bb89-0fb9e16bb2aa · outbound

This paper cites The emergence of clusters in self-attention dynamics.

On Transformer Dynamics The emergence of clusters in self-attention dynamics

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:28.557396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:28.557396Z digest=sha256:5f7755f01314724f230142e08d43693baf29322a80570a8a6d2c15da1385d5a2

Observation ec4328ee-4617-48b3-a790-b27feca03e31 · outbound

This paper cites Dynamic metastability in the self-attention model.

On Transformer Dynamics Dynamic metastability in the self-attention model

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:28.618278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:28.618278Z digest=sha256:324f31901d23e5f797e367e50dff1e6ddf432fee44bf5f6f2fc8b32bd6e21a83

Observation f95da0d6-cff4-4aa6-8be6-00989bc4ecdb · outbound

This paper cites Are Transformers universal approximators of sequence-to-sequence functions?.

On Transformer Dynamics Are Transformers universal approximators of sequence-to-sequence functions?

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:28.691589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:28.691589Z digest=sha256:bb4b6ad7d2c32398f02f22dcb0206c4a02c40c169043fd4dcd24bf4da99e7a43

Observation 27f17bc9-5e94-42b9-93d7-889aef515b7b · outbound

This paper cites $O(n)$ Connections are Expressive Enough: Universal Approximability of Sparse Transformers.

On Transformer Dynamics $O(n)$ Connections are Expressive Enough: Universal Approximability of Sparse Transformers

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:28.744341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:28.744341Z digest=sha256:96493c459142615f1384d07fdd670e1f7a70c57ac29ff2ce2e97a6a8b80d0ae5

Observation b993a46d-38f0-4005-99fc-52f7db017abf · outbound

This paper cites an unresolved cited work.

On Transformer Dynamics Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:28.820746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:28.820746Z digest=sha256:326dc1e488cd375e2c8169ad5cb28337a0ce94082d9e2c586e1b16662239ab00

Observation 9d819055-5b98-4cbf-ae9f-1e010a43e5c5 · outbound

This paper cites E,A proposal on machine learning via dynamical systems, Communications in Mathematics and Statistics5(1):1–11, 2017.

On Transformer Dynamics E,A proposal on machine learning via dynamical systems, Communications in Mathematics and Statistics5(1):1–11, 2017

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:28.910876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:28.910876Z digest=sha256:1cbf8e2b334a72ccf9aca97f7f544f7aa21fd802bd826b6719d3a32f8dae9ad3

Observation 32f96efe-1b1b-4439-a052-1760cb463e3c · outbound

This paper cites Haber and L.

On Transformer Dynamics Haber and L

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:28.999574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:28.999574Z digest=sha256:d6918b6826eba47bb610c9d099abdc0398aed2632d23a366d90505c756beaba3

Observation bf0431f9-d58a-4b74-b6de-d73e66a88221 · outbound

This paper cites an unresolved cited work.

On Transformer Dynamics Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:29.208918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:29.208918Z digest=sha256:ac0302c777768a02e073bd0d6ac9c10860c8ed50ed15a8281a26dfd3bbb9b007

Observation e066a4b4-09ae-4786-a0c4-33dee542d396 · outbound

This paper cites Understanding and Improving Transformer From a Multi-Particle Dynamic System Point of View.

On Transformer Dynamics Understanding and Improving Transformer From a Multi-Particle Dynamic System Point of View

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:29.364591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:29.364591Z digest=sha256:aa6119944371bf9cf90787bffd056138e1ef0e6552f9d3beae8a79cbaca23c4d

Observation 180a8e31-326e-4cdb-9f2c-a85d2ead9129 · outbound

This paper cites an unresolved cited work.

On Transformer Dynamics Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:29.479847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:49:29.479847Z digest=sha256:e9b6c71b9e4bd8da52aaeea6996b8b8db4563401be5de714c43bfa176f5fdda2

Pith citing papers

No inbound Pith citation observations are available.