Pith. sign in

Paper Citation Record · LEDGER

Spin layer groups and their corepresentations

As of 13 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation 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 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:18:44.119470Z

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:63f77f05a18e86d859c564bf90d979df1e3f971582a567c17f1f7db6a97ce9ae

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:2e6f4b06245f3d3016616b6cd0913b5e11e19c71e5d94389ad2d496047e96845

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:49d4f32c244395c913ca65572633a1ac981a86e1c01413ec3b926f91e7abda8e

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:a508549f2a478ba2632bbaff07452e961e58a35396dbf10724c3a4707e20d5d2

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:1713baa55c88d062d54118aecc86346f1976bec21d4be466066bd5471523f04f

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:c66408866cd74e5a613dac6a18f3d2ad8162003d508a567e8f043a253142bf1b

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:3c4c3147ec1ba9ee22a95da87972d4b0095a979ee9841a88de7eebd0b7355cc9

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:a54bf4557fa76a79215824aa58a2cd50ca13531a864176d94cbf741ad10d90a8

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:a30730f2d422aa78b28c021c064d37d976d01c728ceab767c756922f6ca582d2

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:45f5af925585835952735b547f225ea03dc2af28635221cc18be03f10d4c7795

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:789991232cfb981094dfa4b79c6354a36f574f630cf4dee69d2fce33de8b8921

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:d402214dfb8f308d1fad2fedf54696a84d29e2c2466a6da91916439fb50f6b57

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:1a24796793593c4afa03fb9fc7790744f9906c854d23b78a84afb72eff83afa1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:e7e71ed4b65de2e126a247152e4a8f75a5e14233de455b6ae800e20f92ec3ed7

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:7ce218ecf6246de768e39785df9bb81e777735811664d277aea8ad1ddb100e45

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:f32158f2d4a09f1ce5b62538dc71c8cd9e5e0ae26cbe209135e39c32c664a305

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:f7f92a4d56b2ec49de95a016c12de9fa0bed8e5f4a03564fa2e8a7cad57d3de2

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:875ff3a3b4cc75ab071bdcdc9fe5cc708e0becec63e608761e682a32ef3ba3c6

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:5d6731d8681ea30fd2710b9830531f1509fd4a3da5ddedd03657fe707942f4d5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:8e3f36305ca21d277d0304b046738066fa02818aa20c8e490168c68c235a9c6c

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:c484a3fd454f523f01a86d8815d0d754af8ed6ed7c3afb3ea069c652b070b231

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:ff597c15c7e3c4af23edfbf715dfbaa0d22543f63d8218ff7f0d0275de38da61

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:7124ea31acdc30ab31a78e9e9fa643d836f03fc5d0d2409b101fc2724c7cfef5

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:03a29e50ad0efce707e25608b56fbfaac3f0b1adfb4cc577e8e950ca7515f439

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:d35d4a1c1e389819fdffc598d565933bc56c5047be7704fef1c93dd97a0d1483

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:a4bf0a7d2a0ea638fb3021fd65d7ae1cdd306a2a5997d8fa48d4c4affed7afbf

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:5f83dfee4462c20fe6908e84561c13a044f5207c956b970145dcb0021213c4cd

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:1ac0648ff1ee20c959de2a7afbf5c557f1b751b273fa570c2a6dfae953366154

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:ca6143009db1993d0b35b15d9a7034525e4b2b3481e2f390a4637ed8d65bd621

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:3d657746ec3f1a91f4cdfe4a59e5a7e05eb96daadb641787829c858d5e3df630

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:503478a084e115410c7b3640a5329bf509abce96f8e3ef223aee35da7ab97d38

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:399ffb3e35d74d11b961bda06bd14c78b0fdcaefe683fbcd7ceef34bc1b4f098

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:e32b45b8a565e3e54e6b812994290572f7524bc16001513bdd3dd5b2355a71f9

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:2e8edf34ddd43561ee050c362c43b9c8006a22839882a2643d77e11d95c21687

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:d07e66cbed5e5f3aa030502ba6208a1cdb4971b04fc00524ccfaeffd2d11f7ea

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:2930ae8931615fbf075bdb26ee898fbdc28571ed22f0e10d2f77a8f902588075

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.

source=pdf_text observed=2026-06-29T21:54:20.887334Z digest=sha256:63d5c23a15db7fa6601e01ef8898a6de4a35fad71e870b9c9447a77794c02af6

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T12:18:44.119470Z digest=sha256:9f6bf801beaba8df34a8410adfd630c1d61b710b6628055a2f67f6564e06c7f2