Paper Citation Record · LEDGER

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention

As of 15 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2608.08922.

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

pith.paper-citation-record.v1
2608.08922 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:26:03.042061Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

29 of 29 outbound references displayed

verified exact2
verified fuzzy12
unresolved15
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 94292014-c29a-4b56-90df-b680626aa180 · outbound

This paper cites Vaswani, N.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Vaswani, N

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:03.797470Z

Source-reported events for the cited work

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Observation 2c9dcba3-e5ee-4541-a124-5c1914d4a131 · outbound

This paper cites Devlin, M.-W.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Devlin, M.-W

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:03.765246Z

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Observation 1170a63d-ae14-4904-baff-9038e590a1b3 · outbound

This paper cites an unresolved cited work.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:26:03.736405Z

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Observation 00ec236e-01f1-45e1-b8b1-36bc3a52dbf4 · outbound

This paper cites Dosovitskiy, L.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Dosovitskiy, L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:03.715396Z

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Observation 3ae9a7fd-0a66-433c-8ac0-64a12ff14150 · outbound

This paper cites Radford, J.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Radford, J

Reference 5

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Observation 52125ebb-7000-440c-ae39-61165c9d6e34 · outbound

This paper cites Jumper, R.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Jumper, R

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:03.651835Z

Source-reported events for the cited work

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Observation 8aefd8b4-aa98-4708-a94c-18ef3e9719cb · outbound

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

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Understanding and Improving Transformer From a Multi-Particle Dynamic System Point of View

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T04:26:02.862311Z

Source-reported events for the cited work

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Observation 9aed5b64-bb82-47ea-bd86-a515f56dd646 · outbound

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Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:26:03.630801Z

Source-reported events for the cited work

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Observation 0cb9a7aa-b6d8-453a-8c53-94e429337c91 · outbound

This paper cites Dong, J.-B.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Dong, J.-B

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:03.614183Z

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Observation 622f43ee-8abd-4de3-8fc1-0a0a4bd46dbb · outbound

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Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:26:03.595456Z

Source-reported events for the cited work

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Observation 84fa5a4c-6e22-4bf8-9464-d8d08bac483f · outbound

This paper cites an unresolved cited work.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:26:03.568048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7f02655e-5161-40b0-bc96-4d9b102ac7f9 · outbound

This paper cites an unresolved cited work.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:26:03.548498Z

Source-reported events for the cited work

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Observation 7b2ed2a7-d18e-4f0f-8a03-faf955a842ba · outbound

This paper cites A mathematical perspective on Transformers.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention A mathematical perspective on Transformers

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T04:26:02.912857Z

Source-reported events for the cited work

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Observation cfd8cbd1-781f-4c24-aa11-2cb1fdf34e75 · outbound

This paper cites Analysis of mean-field models arising from self-attention dynamics in transformer architectures with layer normalization.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Analysis of mean-field models arising from self-attention dynamics in transformer architectures with layer normalization

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T04:26:02.917918Z

Source-reported events for the cited work

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Observation 224f8f8b-a13e-4c5a-9851-218326053dd8 · outbound

This paper cites Rigollet, The mean-field dynamics of transformers, in Proceedings of the International Congress of Mathemati- cians 2026—Volume 7: Invited Lectures (Sections 15–20), edited by S.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Rigollet, The mean-field dynamics of transformers, in Proceedings of the International Congress of Mathemati- cians 2026—Volume 7: Invited Lectures (Sections 15–20), edited by S

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:03.531704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 53111042-d571-4b7c-9d25-92653687c7f7 · outbound

This paper cites Altafini, Multistability of self-attention dynamics in transformers, arXiv preprint arXiv:2511.11553 (2025), arXiv:2511.11553 [cs.LG].

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Altafini, Multistability of self-attention dynamics in transformers, arXiv preprint arXiv:2511.11553 (2025), arXiv:2511.11553 [cs.LG]

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T04:26:02.929861Z

Source-reported events for the cited work

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Observation 742fe03d-e8d5-4ecb-9359-376daaa27f56 · outbound

This paper cites PureNav: A Personalized Navigation Service for Environmental Justice Communities Impacted by Planned Disruptions.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention PureNav: A Personalized Navigation Service for Environmental Justice Communities Impacted by Planned Disruptions

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:26:03.256555Z

Source-reported events for the cited work

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Observation f427e7f8-d8da-4714-a889-0d0b41930445 · outbound

This paper cites Robust Probabilistic Bisimilarity for Labelled Markov Chains.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Robust Probabilistic Bisimilarity for Labelled Markov Chains

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:26:03.232583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 71ccedfd-9132-4d5f-bb5d-838fc34ac2c4 · outbound

This paper cites Bruno, F.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Bruno, F

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T04:26:02.955996Z

Source-reported events for the cited work

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Observation ba52068f-0ec0-4607-8bcc-803ad8e15152 · outbound

This paper cites Two failure modes of deep transformers and how to avoid them: a unified theory of signal propagation at initialisation.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Two failure modes of deep transformers and how to avoid them: a unified theory of signal propagation at initialisation

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T04:26:02.963314Z

Source-reported events for the cited work

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Observation 52579474-3b1e-494b-9e97-4031a1537c9b · outbound

This paper cites an unresolved cited work.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:26:03.488168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7c134f52-5cd5-4499-966a-20f1a8551297 · outbound

This paper cites Katharopoulos, A.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Katharopoulos, A

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:03.447071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f68e6883-fcfd-46ed-8fd8-a4c307d56612 · outbound

This paper cites Derrida, Random-energy model: An exactly solvable model of disordered systems, Physical Review B24, 2613 (1981).

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Derrida, Random-energy model: An exactly solvable model of disordered systems, Physical Review B24, 2613 (1981)

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:03.509723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3adf5708-a035-491c-b71e-927566f225da · outbound

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

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention The emergence of clusters in self-attention dynamics

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-14T04:26:03.020086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b9bd1c6-52eb-47d5-ab75-526b2b683d14 · outbound

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

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Dynamic metastability in the self-attention model

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-14T04:26:03.024523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8272dced-e9cb-40da-b973-eaf80a0fc5a3 · outbound

This paper cites Bruno, F.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Bruno, F

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:03.465197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ee687e00-c14a-4de0-a0c7-7d017712ad24 · outbound

This paper cites Katharopoulos, A.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Katharopoulos, A

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:03.427006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f992af93-8416-47d3-bf59-5129bd90549e · outbound

This paper cites Rethinking Attention with Performers.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Rethinking Attention with Performers

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-14T04:26:03.037934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c1194e2-7d13-4590-972b-0458df408171 · outbound

This paper cites Rigollet, The mean-field dynamics of transformers, inProceedings of the International Congress of Mathematicians 2026—Volume 7: Invited Lectures (Sections 15–20), edited by S.

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention Rigollet, The mean-field dynamics of transformers, inProceedings of the International Congress of Mathematicians 2026—Volume 7: Invited Lectures (Sections 15–20), edited by S

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:26:03.411345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.