Paper Citation Record · LEDGER

Spin layer groups and their corepresentations

As of 20 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 2 inbound Pith citation observations for arXiv:2605.25484.

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

pith.paper-citation-record.v1
2605.25484 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T21:54:20.887334Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:58:01.366276Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T12:18:44.809128Z

Reference resolution

37 of 37 outbound references displayed

verified exact2
verified fuzzy0
unresolved35
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d013f6b3-4ed2-4864-adc8-65b9ce1d2cc4 · outbound

This paper cites coplanar.

Spin layer groups and their corepresentations coplanar

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d846752-6ec9-470e-8fd6-3704265810e4 · outbound

This paper cites This leads tou −1cθu≡c θ, i.e.φ u ≡ε, which is consistent with the direct product result Uk =U ′ k × C∞.

Spin layer groups and their corepresentations This leads tou −1cθu≡c θ, i.e.φ u ≡ε, which is consistent with the direct product result Uk =U ′ k × C∞

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d14c28e2-ca4d-413b-a777-34266d02cd80 · outbound

This paper cites n(HSP/HSL/GP).

Spin layer groups and their corepresentations n(HSP/HSL/GP)

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7901fcb-7e32-4fa0-8142-e2a2d875c55a · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 321781ed-cb4b-44cf-a36b-de1f1d9dd945 · outbound

This paper cites Bradley and A.

Spin layer groups and their corepresentations Bradley and A

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 639c167d-5a80-49af-a93e-345e1e20da5a · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdfbc167-45eb-4871-b72a-02dcf3170895 · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22b45d5e-e676-4584-9cd1-4240719d0b27 · outbound

This paper cites Litvin and W.

Spin layer groups and their corepresentations Litvin and W

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e9df290-4e8a-4fb1-9092-3761a773641b · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6132990-cab0-4c91-855e-4285109a3bff · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2551e9e-dd03-4178-8a52-d915f297f266 · outbound

This paper cites Jiang, Z.

Spin layer groups and their corepresentations Jiang, Z

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1aeaff9c-f424-45de-bb27-d5a86096aad2 · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a80d745-3055-4712-99ab-09724484ae02 · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a1833b8-4a7b-49d7-b95f-e168693610a0 · outbound

This paper cites Chen , author Y.

Spin layer groups and their corepresentations Chen , author Y

Reference 14

Resolution: verified exact; doi, observed 2026-06-29T22:03:59.787001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 40af6b43-7980-451f-96c5-649a574d1b32 · outbound

This paper cites ˇSmejkal, J.

Spin layer groups and their corepresentations ˇSmejkal, J

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2653c58d-2dc0-4250-a61e-86303428e2f1 · outbound

This paper cites Jungwirth, R.

Spin layer groups and their corepresentations Jungwirth, R

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74ce233c-8d4c-433a-aef8-238caf32803d · outbound

This paper cites Huang, G.

Spin layer groups and their corepresentations Huang, G

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5ab9e8e-98a0-4cf6-81a9-f5df0fb2a93b · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82e9afd2-0dbc-41fa-b826-e0b35bea79fe · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5dd2e40-5df2-44d0-b393-ea5ae290451e · outbound

This paper cites Twisted Magnetic Van der Waals Bilayers: An Ideal Platform for Altermagnetism.

Spin layer groups and their corepresentations Twisted Magnetic Van der Waals Bilayers: An Ideal Platform for Altermagnetism

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-06-29T22:04:00.579524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4c21d435-8835-4c1c-87b7-3c522cfdb8af · outbound

This paper cites Ablimit, Y.-L.

Spin layer groups and their corepresentations Ablimit, Y.-L

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0ca3c9b-8a75-46ab-8daf-ca7763621ee8 · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 572a4dfb-58fa-46b5-b0fe-641afd8ff84e · outbound

This paper cites Guo, Y.-W.

Spin layer groups and their corepresentations Guo, Y.-W

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6147c7a7-f988-4c18-88b6-75a4e268eea5 · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a82082f-57ef-4688-a7e1-5199c9c4e149 · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b00f7a1-88f5-4ea3-9450-fbade3268c48 · outbound

This paper cites Gong and X.

Spin layer groups and their corepresentations Gong and X

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76fbe9b7-315c-4811-b03d-88afa0f0f045 · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e63fbfd2-9d53-44e0-9a76-f7ed4ccac4d0 · outbound

This paper cites Kopsk´ y and D.

Spin layer groups and their corepresentations Kopsk´ y and D

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6869023-89e7-4ce4-a90f-48cc26e9d9aa · outbound

This paper cites Zeng and Y.-J.

Spin layer groups and their corepresentations Zeng and Y.-J

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 290b3d00-64b9-4722-b0ec-443bd1e543cc · outbound

This paper cites Zhang, W.

Spin layer groups and their corepresentations Zhang, W

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdf60f9a-d404-4f5c-95c8-6a4c139fa403 · outbound

This paper cites Cohen,A Course in Computational Algebraic Num- ber Theory, Graduate Texts in Mathematics, Vol.

Spin layer groups and their corepresentations Cohen,A Course in Computational Algebraic Num- ber Theory, Graduate Texts in Mathematics, Vol

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a75851b-10d0-4f3b-9dfb-6cdd9f666eff · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18f27abd-981b-484f-bba4-0a2e99e6bc82 · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb020a26-103c-4c1b-ad2c-17f847a696e6 · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6060aaf-013d-433f-8a48-b97b92d06717 · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9037130e-70b3-4c69-9543-6bf1ed4eb8a6 · outbound

This paper cites an unresolved cited work.

Spin layer groups and their corepresentations Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23a087df-d396-4cf6-8479-e5fb009d43fd · outbound

This paper cites Dabbaghian-Abdoly, An algorithm for constructing representations of finite groups, Journal of Symbolic Computation39, 671 (2005).

Spin layer groups and their corepresentations Dabbaghian-Abdoly, An algorithm for constructing representations of finite groups, Journal of Symbolic Computation39, 671 (2005)

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-29T21:54:20.887334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation f2be01dc-9598-46f1-aa06-3885a0ebcd6b · inbound

Generalized Space Groups from Internal Configuration Spaces cites this paper.

Generalized Space Groups from Internal Configuration Spaces Spin layer groups and their corepresentations

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:18:44.897236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c24c2f5c-1fea-418e-93cb-47b052327d2d · inbound

Generalized Space Groups from Internal Configuration Spaces cites this paper.

Generalized Space Groups from Internal Configuration Spaces Spin layer groups and their corepresentations

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T14:58:01.366276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.