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Paper Citation Record · LEDGER

Spectral Selection in Symmetric Self-Attention Dynamics

As of 5 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2604.26085.

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

pith.paper-citation-record.v1
2604.26085 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-07T14:37:05.699539Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T13:07:58.339019Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

30 of 30 outbound references displayed

  • verified exact8
  • verified fuzzy15
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a4c0ce97-e690-42c0-b496-8cd73468d38b · outbound

This paper cites Acebr´ on, L.

Spectral Selection in Symmetric Self-Attention Dynamics Acebr´ on, L

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T04:18:32.647305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:9b7208adece49b1aa1392feb60a99a8077d20755ac9f8ca51e6f77300d97d30d

Observation 675d0fa2-6aa8-491b-971c-f1a6e18879f6 · outbound

This paper cites Emergence of meta-stable clustering in mean-field transformer models.

Spectral Selection in Symmetric Self-Attention Dynamics Emergence of meta-stable clustering in mean-field transformer models

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:41:25.540607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:a20b2561bef5a1c5c5d3a8d20477d5aac8abd2a2d5e384894c98dcfe7d0da9c3

Observation c81018cf-f013-47c7-8dcc-9e7a771e9847 · outbound

This paper cites Bruno, F.

Spectral Selection in Symmetric Self-Attention Dynamics Bruno, F

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T04:18:32.641823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:25406bb3bdb3b5f92699312cdec0e13b5345d90dc7613186f925675dd21be394

Observation 475430b5-aea5-4dfa-841a-1ef4a2e1178a · outbound

This paper cites Burger, S.

Spectral Selection in Symmetric Self-Attention Dynamics Burger, S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T04:18:32.638780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:bd1a2173be59a9a8abf73164917419c8f962a4fcaabf30288d23b98ff57dac6b

Observation 584c4865-b673-4646-82f6-906a77b772af · outbound

This paper cites A Unified Perspective on the Dynamics of Deep Transformers.

Spectral Selection in Symmetric Self-Attention Dynamics A Unified Perspective on the Dynamics of Deep Transformers

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-06-19T17:11:29.171473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:b31f8f29d657c7cf772810ce098b4b54b2c2a0497f243a6b511b08acbf1649e6

Observation 97448af0-7ac4-40b8-8223-0b18fc86475b · outbound

This paper cites A Dynamical Systems Perspective on the Analysis of Neural Networks.

Spectral Selection in Symmetric Self-Attention Dynamics A Dynamical Systems Perspective on the Analysis of Neural Networks

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-06-19T17:09:47.855935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:979503f15bec702257a25c60243a92cf2c2757482b1b1d90a8d0b2aa24cf4e7f

Observation e4cff7f6-e1bd-49da-8892-8ae8bdb37efe · outbound

This paper cites an unresolved cited work.

Spectral Selection in Symmetric Self-Attention Dynamics Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-27T04:18:32.633486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:d40bb0fb652d28f05f9801daf2cd4afb974ef8465466f671528f68e3507206c6

Observation 594567a5-0927-47b8-8d3e-d5c6d7ad54b0 · outbound

This paper cites Quantitative Clustering in Mean-Field Transformer Models.

Spectral Selection in Symmetric Self-Attention Dynamics Quantitative Clustering in Mean-Field Transformer Models

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-12T01:43:41.789380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:f4b2509347e02705ed9e0c1f3ee532b87bedd207898bbdcdb20ea04218d633ee

Observation 48797a85-2b05-4db9-acdd-4cc3914ef15b · outbound

This paper cites an unresolved cited work.

Spectral Selection in Symmetric Self-Attention Dynamics Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-27T04:18:32.636182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:8ac2ad7b358c589360c9bef715fe5d11b5eb8e3fcc2cc3f5bfdbc8848e2547f1

Observation ade36f50-dc7d-4e61-bc10-c759b2627ee5 · outbound

This paper cites an unresolved cited work.

Spectral Selection in Symmetric Self-Attention Dynamics Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-27T04:18:32.611740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:0cb83eb620848c8c890e0ccc82fc543e76def595fb83ed4498505239ffb2f2b7

Observation 6de2de1a-575c-4e1e-9d0a-3d1c11e63054 · outbound

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

Spectral Selection in Symmetric Self-Attention Dynamics Dynamic metastability in the self-attention model

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:41:25.536288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:9b4ca05e223f5b41746385e17e262605defd0dd508dbf955ea47bc88fa6d533e

Observation dda437ef-3a67-48e5-b989-94ba373370ed · outbound

This paper cites Geshkovski, C.

Spectral Selection in Symmetric Self-Attention Dynamics Geshkovski, C

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T04:18:32.627878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:3b9750a3c8463619478c24ebcb9ea1aa3dd5ddd65881c99bf53faa47bb0c6b29

Observation 96d270ce-a7ef-4253-b27c-a66515fe1efd · outbound

This paper cites Geshkovski, C.

Spectral Selection in Symmetric Self-Attention Dynamics Geshkovski, C

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T04:18:32.630819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:1225c442aeb6401ac52ae4c3be57be7c5f1f9cb10ba908b13fb50e655daccdde

Observation e747080b-7320-42f0-ad3e-f34a870e2727 · outbound

This paper cites Haber and L.

Spectral Selection in Symmetric Self-Attention Dynamics Haber and L

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T04:18:32.654840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:646140e1bc866931cae321bbb0f0245da9fb5767b8b95bc6c7fa5da3628c0095

Observation 6f799ef7-e08d-4e03-90ab-7d3b2d090e1b · outbound

This paper cites Hofbauer and K.

Spectral Selection in Symmetric Self-Attention Dynamics Hofbauer and K

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T04:18:32.644505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:057ee7c08b42793de78e1b4aa1aaf3f791f281e3c27d3dab0b9facbc5fad2b33

Observation 9048051c-f28e-464e-8bd3-10d2a3a6d2d2 · outbound

This paper cites an unresolved cited work.

Spectral Selection in Symmetric Self-Attention Dynamics Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-27T04:18:32.651820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:dc4dfcb24e0b0129a341252bf756008d5e35f532efe3fe6a9b7613d52dc6a8ba

Observation f0e750de-e0ef-47a3-9193-df33d16e2ee4 · outbound

This paper cites Karagodin, S.

Spectral Selection in Symmetric Self-Attention Dynamics Karagodin, S

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T04:18:32.622647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:08b095952ea5ac91506ed60b146336bd3aef9291753e6ec040f051752bf7125e

Observation 2f9509f4-8ff8-47f5-8e83-ebd97b847284 · outbound

This paper cites Embedding Capabilities of Neural ODEs.

Spectral Selection in Symmetric Self-Attention Dynamics Embedding Capabilities of Neural ODEs

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:41:25.545158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:0fce7aead874bb9027457f5502f3a2e009792434af174086e73deddb1212ce26

Observation 4c22cadc-904e-441d-a5bf-d6bec8268e3c · outbound

This paper cites Kuehn and S.-V.

Spectral Selection in Symmetric Self-Attention Dynamics Kuehn and S.-V

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T04:18:32.614976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:e2e9ac51d45c3d4aa9c47df199771009f82496c9d156567ee89430b795ffe585

Observation fe41e0d1-034e-4fc9-b6d3-1a09cb748fc6 · outbound

This paper cites Kuramoto.Chemical Oscillations, Waves, and Turbulence.

Spectral Selection in Symmetric Self-Attention Dynamics Kuramoto.Chemical Oscillations, Waves, and Turbulence

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T04:18:32.617565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:9175d191759f558f3b18db3f843be30e87ba4e85d1e91c2632c87bffb561b47b

Observation ed1bad2a-f3f2-4a3f-8dfc-545821aa4eb6 · outbound

This paper cites an unresolved cited work.

Spectral Selection in Symmetric Self-Attention Dynamics Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-05-27T04:18:32.619946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:84425dae7fc291914bc6c130a68acf0704281acc2300bc9e9fb0eb9f1f96a27f

Observation 9a670fa1-635e-4f23-9aaa-81b9d23a26a1 · outbound

This paper cites Pikovsky, M.

Spectral Selection in Symmetric Self-Attention Dynamics Pikovsky, M

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T04:18:32.625291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:4e65c36cb32f53f00956ab1aa3b92be7a8c83fd3857761be93e7d4eca8f52df6

Observation 2d5c926c-731e-49d3-a9ee-fff62b830b3d · outbound

This paper cites arXiv, ://arxiv.org/abs/2512.01868, arXiv:2512.01868 [cs], doi:10.48550/arXiv.2512.01868.

Spectral Selection in Symmetric Self-Attention Dynamics arXiv, ://arxiv.org/abs/2512.01868, arXiv:2512.01868 [cs], doi:10.48550/arXiv.2512.01868

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:41:25.502525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:684cb4705338846e0ea4026d0bee4280cc4a65f4afb05144334d704b1f405baa

Observation 80e85049-a813-460a-8fa9-4743a43e953b · outbound

This paper cites Ruthotto and E.

Spectral Selection in Symmetric Self-Attention Dynamics Ruthotto and E

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T04:18:32.605814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:dccd3985290ef1bc70e5f79450bec756d695a7f0b57c605fafa9d17285a91179

Observation 1183879f-81c5-4099-93fb-df4ffed1e771 · outbound

This paper cites an unresolved cited work.

Spectral Selection in Symmetric Self-Attention Dynamics Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-05-27T04:18:32.608744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:86e02137245ed93cae2b06815157c9b60c032b6cbd8a8d2bf9e822c432101a39

Observation ddf89ed8-1e03-40a8-8bcd-16212c77c977 · outbound

This paper cites an unresolved cited work.

Spectral Selection in Symmetric Self-Attention Dynamics Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-05-27T04:18:32.596938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:16c4341343d361379cc959704665cb4ed060ddc17a641e759daabdc45ce51323

Observation 0654f868-03fb-40e6-bd18-0abd78b91ec6 · outbound

This paper cites Strogatz.

Spectral Selection in Symmetric Self-Attention Dynamics Strogatz

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T04:18:32.599841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:7c92a36ad40742d35ece0146c88b5b8075a76ba06515fc1aafcdc00ab48e8f5c

Observation be6e8bad-5fe9-4b65-b96a-fc815a0793ce · outbound

This paper cites LLaMA: Open and Efficient Foundation Language Models.

Spectral Selection in Symmetric Self-Attention Dynamics LLaMA: Open and Efficient Foundation Language Models

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-05-12T00:41:25.520976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:a52652d2b90600ef09d225ef1283a9759ff246c8f414d6b8b6f051cf81ecf07c

Observation 43d137ec-1939-482e-9a01-3d0ff9d819b0 · outbound

This paper cites Vaswani, N.

Spectral Selection in Symmetric Self-Attention Dynamics Vaswani, N

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T04:18:32.594339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:68a61fcfeca0d9094bc85345011583bb76e853dda8c8d71182f7f317da74ad40

Observation acb50a92-905e-4702-89ca-06498fa3c74b · outbound

This paper cites Zhang and R.

Spectral Selection in Symmetric Self-Attention Dynamics Zhang and R

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T04:18:32.602733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T14:37:05.699539Z digest=sha256:52141d04b0d1b54b098e57b40eb6361f9beb12316afec6c741a8fb503fdad2d8

Pith citing papers

Observation e14fdb82-c8f9-494c-8411-bc32b7a8c8e0 · inbound

Self-Attention Dynamics with Rotary Position Embeddings: Twisted States and Explicit Consensus Rates on the Sphere cites this paper.

Self-Attention Dynamics with Rotary Position Embeddings: Twisted States and Explicit Consensus Rates on the Sphere Spectral Selection in Symmetric Self-Attention Dynamics

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-31T13:07:58.339019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T13:07:58.339019Z digest=sha256:f122706cb3bf586ac2ddc83b90524aced98a56a03c9962267edb24a4d5aadcd7