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Paper Citation Record · LEDGER

An elementary classification of the quaternionic reflection groups of rank two

As of 13 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 6 inbound Pith citation observations for arXiv:2509.01849.

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

pith.paper-citation-record.v1
2509.01849 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:13:53.152183Z

measured 23 of 23 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 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T08:16:56.967868Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T22:28:21.210590Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 754e4f0f-7b16-4d3e-9ead-6d5844e4eef5 · outbound

This paper cites Finite collineation groups : with an introduction to the theory of operators and substitution groups.

An elementary classification of the quaternionic reflection groups of rank two Finite collineation groups : with an introduction to the theory of operators and substitution groups

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:13:56.596582Z

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=arxiv_source observed=2026-08-05T12:13:51.300334Z digest=sha256:1d3beac96b6cd0841eb3832121d8f6621d21ba726c49d35fef81af122f25110f

Observation 6cdccea9-49aa-48d3-b317-ad0b6de101e2 · outbound

This paper cites On parabolic subgroups of symplectic reflection groups.

An elementary classification of the quaternionic reflection groups of rank two On parabolic subgroups of symplectic reflection groups

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:13:56.450603Z

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=arxiv_source observed=2026-08-05T12:13:51.389158Z digest=sha256:dd495d1f4443932471a5c084c1aacc7e49bd77dd57385552c895d95db18e3531

Observation a37ce006-42bc-4464-b601-4d73d7263985 · outbound

This paper cites Quaternionic MUBs in ^2 and their reflection symmetries.

An elementary classification of the quaternionic reflection groups of rank two Quaternionic MUBs in ^2 and their reflection symmetries

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:13:56.322156Z

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=arxiv_source observed=2026-08-05T12:13:51.490017Z digest=sha256:583157c613b9c30d0b0693ce3617d3d6f6615fc9be524078505c86ee5ca06393

Observation a96dd120-14ec-4df6-af1b-2fb42b973840 · outbound

This paper cites an unresolved cited work.

An elementary classification of the quaternionic reflection groups of rank two Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:13:56.163734Z

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=arxiv_source observed=2026-08-05T12:13:51.595420Z digest=sha256:4f304299392ec9f03705454e2b70b9048e7c865a3ec2e838dc1ae7264719dbdc

Observation 08879b14-5cb4-43a5-b06d-f28bc05a654a · outbound

This paper cites an unresolved cited work.

An elementary classification of the quaternionic reflection groups of rank two Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:13:55.960056Z

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=arxiv_source observed=2026-08-05T12:13:51.714546Z digest=sha256:b1c47ce63e18cc80cbe356592ade4fa0d77806efa03ee94d63cb9612ace08722

Observation 0cf32c70-2fa2-4ae9-81f4-a0e841dd0d8c · outbound

This paper cites Conway and Derek A.

An elementary classification of the quaternionic reflection groups of rank two Conway and Derek A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:13:55.800706Z

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=arxiv_source observed=2026-08-05T12:13:51.816170Z digest=sha256:303e472358a80ddff38a3a44d5125c79218140767b56ea47a1027e1e43ccef1c

Observation d101af61-af0f-43ff-bf0b-1317c81eb0a4 · outbound

This paper cites N = 5 SCFT s and quaternionic reflection groups.

An elementary classification of the quaternionic reflection groups of rank two N = 5 SCFT s and quaternionic reflection groups

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:13:55.646012Z

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=arxiv_source observed=2026-08-05T12:13:51.911098Z digest=sha256:94cc6520117db7ae94955c882448da2e62a52182bf30f8c3439573bcf53e5efe

Observation 98cc70c4-2c71-4bda-8ad8-b85c77b2c6cc · outbound

This paper cites an unresolved cited work.

An elementary classification of the quaternionic reflection groups of rank two Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:13:55.369433Z

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=arxiv_source observed=2026-08-05T12:13:52.020517Z digest=sha256:6ae26797295c302c0a0fa183f8588a466b93d402f25db06c8d1466f62c3e8dd7

Observation 59cfa11d-e55d-409f-b0b1-41606434fd91 · outbound

This paper cites Lehrer and Donald E.

An elementary classification of the quaternionic reflection groups of rank two Lehrer and Donald E

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:13:55.074571Z

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=arxiv_source observed=2026-08-05T12:13:52.122102Z digest=sha256:a85fb92c5f70f69a9ba6793aa9950a740057f613549778ecc85cb93169959ba1

Observation 56274b7e-5381-4b7b-b1d5-3e3589e3857e · outbound

This paper cites a lzische Technische Universit \.

An elementary classification of the quaternionic reflection groups of rank two a lzische Technische Universit \

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:13:54.813121Z

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=arxiv_source observed=2026-08-05T12:13:52.212694Z digest=sha256:2a4a7e648e516cdd0acaa8cdffe17b91d40f7a0a16ee2ca74ea592b1b7a0dc96

Observation 5395179e-4986-4d1a-ac21-575e44b92f3b · outbound

This paper cites an unresolved cited work.

An elementary classification of the quaternionic reflection groups of rank two Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:13:54.484633Z

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=arxiv_source observed=2026-08-05T12:13:52.331886Z digest=sha256:d41aaa6af65d71b6f32c44bdd92977dd0f897a241d19e2d42c2415316e9e52be

Observation 266e3ba9-1224-479b-8c14-9be4bf25b14c · outbound

This paper cites an unresolved cited work.

An elementary classification of the quaternionic reflection groups of rank two Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:13:54.251256Z

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=arxiv_source observed=2026-08-05T12:13:52.475179Z digest=sha256:e5ecbe9ecbe04e5b02951b3569eac6d281d106f0a58dbf2ebb9b8bfc39367212

Observation d427d539-3bd4-42e7-a0b2-c86b6cfbd7ba · outbound

This paper cites Finite quaternionic reflection groups in magma.

An elementary classification of the quaternionic reflection groups of rank two Finite quaternionic reflection groups in magma

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:13:54.028543Z

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=arxiv_source observed=2026-08-05T12:13:52.519605Z digest=sha256:19675959a672256daa84fd0d6f34486b0669cac7ec789f87624c780b13e0b50b

Observation 26a6f03e-f9e8-4b04-8348-e53afcaecfbb · outbound

This paper cites Quaternion algebras , volume 288 of Graduate Texts in Mathematics.

An elementary classification of the quaternionic reflection groups of rank two Quaternion algebras , volume 288 of Graduate Texts in Mathematics

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:13:53.836236Z

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=arxiv_source observed=2026-08-05T12:13:52.689175Z digest=sha256:806253cf17438b7acf0900c7fa739f9d0cc4b6b8d9c5fb6789fb2694384715ef

Observation 3df10745-c789-4325-8f64-40001164f14d · outbound

This paper cites The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$.

An elementary classification of the quaternionic reflection groups of rank two The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-05T12:13:52.859912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T12:13:52.859912Z digest=sha256:ae035043121106b7a7856da9ad770d98f377f4d5335083e85743dfb499c5ba4d

Observation 97acf02c-924a-4f57-9ddc-32c1cb83542d · outbound

This paper cites The lattice of normal reflection subgroups of an irreducible reflection group.

An elementary classification of the quaternionic reflection groups of rank two The lattice of normal reflection subgroups of an irreducible reflection group

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:13:53.469255Z

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=arxiv_source observed=2026-08-05T12:13:53.038911Z digest=sha256:a33e61940ec25695287f79d2a52620dc44a0f320c9b97c3162693df0d5f37bc5

Observation f8b9103b-4068-4f40-ab2a-2500433e749e · outbound

This paper cites Quaternions and matrices of quaternions.

An elementary classification of the quaternionic reflection groups of rank two Quaternions and matrices of quaternions

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-05T12:13:53.152183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T12:13:53.152183Z digest=sha256:903909013726b7f73a098fc8103a13a051ac16c8c984b36a2d5cac52e7a97399

Pith citing papers

Observation 8777a662-0f72-43c7-a215-56282ee7ecd0 · inbound

Systems of imprimitivity for rank two quaternionic reflection groups cites this paper.

Systems of imprimitivity for rank two quaternionic reflection groups An elementary classification of the quaternionic reflection groups of rank two

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-04T08:16:56.967868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T08:16:56.967868Z digest=sha256:ef5221e1c4e1fb149930d679b6b32d1426719e7df85adea41453fc413ce493b9

Observation 2365f08b-d186-4823-87d7-9e03cc5e9ef6 · inbound

Invariants in the cohomology of the complement of quaternionic reflection arrangements cites this paper.

Invariants in the cohomology of the complement of quaternionic reflection arrangements An elementary classification of the quaternionic reflection groups of rank two

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-04T07:22:04.654295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T07:22:04.654295Z digest=sha256:119d570d22b81f143d0a978325c85c90cd654db845d3cf2adcae4099312170f7

Observation f0a428b6-b8ba-4c04-89f8-05754001fe10 · inbound

On Normalizers of Parabolic Subgroups of Quaternionic Reflection Groups cites this paper.

On Normalizers of Parabolic Subgroups of Quaternionic Reflection Groups An elementary classification of the quaternionic reflection groups of rank two

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-05-13T22:28:21.211999Z

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=arxiv_source observed=2026-05-13T22:25:37.681103Z digest=sha256:8ba82562170055e1941d30e1999090dc12111714a2db1c8b89cf5dbac92232bb

Observation a3faf19c-f958-4d78-b9a6-64a403b197fe · inbound

The lattice of normal reflection subgroups of an irreducible reflection group cites this paper.

The lattice of normal reflection subgroups of an irreducible reflection group An elementary classification of the quaternionic reflection groups of rank two

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-11T15:10:47.642128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:d2b66d5df913813b06af917f9056a1198d15a5ac7f2667298053106c32f06779

Observation f6b7ef78-61e8-4a67-902a-d0ab0c48ea4b · inbound

The lattice of normal reflection subgroups of an irreducible reflection group cites this paper.

The lattice of normal reflection subgroups of an irreducible reflection group An elementary classification of the quaternionic reflection groups of rank two

Reference 46

Resolution
unresolved
no resolver link, observed 2026-07-11T15:10:47.642128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T15:10:47.642128Z digest=sha256:a90359949680435c4b97f48af2b53c6a1dda36671c850af77c52b808492ebd3e

Observation a735bd40-ba94-44bb-8937-02bbdc4a4d31 · inbound

Namikawa--Weyl groups of symplectic quotient singularities cites this paper.

Namikawa--Weyl groups of symplectic quotient singularities An elementary classification of the quaternionic reflection groups of rank two

Reference 22

Resolution
unresolved
no resolver link, observed 2026-07-31T22:23:17.901565Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T22:23:17.901565Z digest=sha256:556d59b9127cf88c66aa2e14822cc0143b0b2eb2b66ec20232999abb08e03a86