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Paper Citation Record · LEDGER

An elementary classification of the quaternionic reflection groups of rank two

As of 19 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:13:51.300334Z digest=sha256:f9f07d3294523cb92e75dbe40d74339cf0fabaefaacb8f9f2ba109afd167d738

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:13:51.389158Z digest=sha256:aa3af5e673d37a1ceed2a523fe5a40c5b895ce68c0ad4a89a1f9869535842d48

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:13:51.490017Z digest=sha256:561a8614b472ca6c6e6c6701dac5a9eb83bc4d9a9183def780f51918b4a19620

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:13:51.595420Z digest=sha256:50f1861c6f7e8d66f28dc87cd5249c963095110e9e3799d3f6eddf552c7e1584

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:13:51.714546Z digest=sha256:b9ffa63e93c543d2d0e529fbf4e82c8cadbbaafeaef5e8eecb1469e4048fa741

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:13:51.816170Z digest=sha256:c40f980d9a7b97b55608fa6cc78511416cfb1b4d375938c849c70b224e89a2be

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:13:51.911098Z digest=sha256:aadce316b5ceec700d84ff1fc8005a704b4b1af1d06677287812a80e8ec21c68

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:13:52.020517Z digest=sha256:8edfff72541ca1354f6a6e67b16fd4db7e1530dcc6723ab4f6232988f5239c09

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:13:52.122102Z digest=sha256:c89dd3b963456b8684ed0b5e9d04e66ce9fc470b39157be9ef75b513d01e5aba

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:13:52.212694Z digest=sha256:ecbb24b7b5b7f2ce4ff8907c60a246a91bc718498b867ad5e6b8db472a98cc93

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:13:52.331886Z digest=sha256:ec68bbc2c4cdfe089a82cb6544ebb109df469dc2d0660d780fed34016e2bb59a

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:13:52.475179Z digest=sha256:ddf7277f49354df2ef5e7e829e479e4bedb30fa7aec0d317e85b46ab5da14694

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:13:52.519605Z digest=sha256:f5869b9ba60a26c9161799ce764a7aa605d1e0fb23de37d834446fbee49a1670

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:13:52.689175Z digest=sha256:6c6166e31f6ad35913b2cef61fdfd65ae579398108798f2ef45d9c11a101a900

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=sha256:921e727b09c2d7b82cc3335a82e3c46780755b224b42237ac7b8b182ba07c426

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T12:13:53.038911Z digest=sha256:616f6394a41a092eb6e597098dd175d667a9d0c7aa29df13719e09471966f1c1

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:bee80f13b3257a1e53eb127844b00cb3ae99c20dc89b56973fc6c21f26b50cdd

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=sha256:3bf448f3f986531c8cfed2a19b163c95972908ca420e236b46f8458fab00b86b

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:b0cf3116b966191dbb849e043a5cdf488796f21ca362b7a4499a3217360a51b3

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-13T22:25:37.681103Z digest=sha256:99e5ba1a453c4c2bb31b105e8ec6107fba893f638e5ba48e096b0c7f13c33136

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=sha256:93035d0ad8d3625e8b9aa83a8ede2dce4ca09c177aa8922141dc57fe2e7fa550

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:d8ac30334be59317a359cfe48d3f40349de4da1a4c0c67916f462fdc16cfae01

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=sha256:8ff096031c21ef74bbaa15ad145cfba0a0ee0490ab063c5d76ae4c42c9d69401