Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T13:45:04.859899Z
Paper Citation Record · LEDGER
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$
As of 13 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 3 inbound Pith citation observations for arXiv:2411.16766.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T12:13:52.859912Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-05T02:28:24.338817Z
Reference resolution
31 of 31 outbound references displayed
- verified exact0
- verified fuzzy11
- unresolved20
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
0
pith, observed 2026-08-05T02:28:24.338817Z
Outbound references
Observation c5944c06-bceb-4de3-b21b-7005a0c2b99d · outbound
This paper cites Constructing exact symmetric informationally complete measurements from numerical solutions.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Constructing exact symmetric informationally complete measurements from numerical solutions
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.702960Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f506e9c1-3200-40b1-b9a6-f785e1146dd6 · outbound
This paper cites Quaternionic determinants.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Quaternionic determinants
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:45:05.301150Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a4e23d33-ce4a-474b-839a-e957a6650f4a · outbound
This paper cites Finite collineation groups : with an introduction to the theory of operators and substitution groups.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Finite collineation groups : with an introduction to the theory of operators and substitution groups
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.714229Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c837bc2-000c-4e11-944a-db008b7d6d09 · outbound
This paper cites Bannai, A.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Bannai, A
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:45:05.272153Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation caba0dea-b3f0-43eb-a277-218d50ec7608 · outbound
This paper cites On parabolic subgroups of symplectic reflection groups.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ On parabolic subgroups of symplectic reflection groups
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.726226Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2fdb4d31-7fe4-4143-92cb-74d3f8410134 · outbound
This paper cites On the construction of highly symmetric tight frames and complex polytopes.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ On the construction of highly symmetric tight frames and complex polytopes
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.731758Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 950fd54d-aa96-43a2-827a-4115e88536af · outbound
This paper cites Optimal simplices and codes in projective spaces.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Optimal simplices and codes in projective spaces
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.738400Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 12e602bc-4bdb-41f7-9670-c85151eecdb4 · outbound
This paper cites an unresolved cited work.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Unresolved cited work
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.743322Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8eb87540-1ae2-4330-a49a-79d900c9a95b · outbound
This paper cites Conway and Derek A.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Conway and Derek A
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.748267Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dec6d2f0-8bc3-4994-8046-f8b8e312b1de · outbound
This paper cites The projective symmetry group of a finite frame.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ The projective symmetry group of a finite frame
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:45:05.196877Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4b472927-7f34-41b0-b12c-6e6725e29185 · outbound
This paper cites Delsarte, J.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Delsarte, J
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.758117Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bde921ca-90e2-43a2-96b4-def406e2f242 · outbound
This paper cites Quaternionic equiangular lines.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Quaternionic equiangular lines
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:45:05.168106Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1ad3d1fb-32d2-4770-b041-8c416f6ff285 · outbound
This paper cites Real and quaternionic representations of finite groups.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Real and quaternionic representations of finite groups
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.768167Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1d00783-1151-42ff-ad2e-7bafbef833e3 · outbound
This paper cites Highly symmetric lines, 2022.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Highly symmetric lines, 2022
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:45:05.137409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 594830e5-4cc8-48cd-ba8a-989d169cba47 · outbound
This paper cites an unresolved cited work.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Unresolved cited work
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.778216Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3da22b36-0d08-4f8b-9d9d-7f8fe1a10d51 · outbound
This paper cites an unresolved cited work.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Unresolved cited work
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.783313Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dd92ff0c-08e8-4393-8de0-36aa5165bfa1 · outbound
This paper cites an unresolved cited work.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Unresolved cited work
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.788213Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3a9b2bdc-82d4-4a41-b8e3-4a213024b6c4 · outbound
This paper cites Constructing high order spherical designs as a union of two of lower order, 2019.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Constructing high order spherical designs as a union of two of lower order, 2019
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:45:05.084429Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation eb7e1764-c445-4136-8dc2-d8c2eb6b580e · outbound
This paper cites Complex spherical designs and codes.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Complex spherical designs and codes
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:45:05.063112Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 45e7fd3d-a0e6-431f-8dca-86aeca082167 · outbound
This paper cites a lzische Technische Universit \.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ a lzische Technische Universit \
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.803924Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0026292b-a18c-43f3-a7cc-af378c404603 · outbound
This paper cites Linear representations of finite groups.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Linear representations of finite groups
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.808992Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5aa33d8c-6489-47cc-a4dd-11a0c97adf04 · outbound
This paper cites Scolarici and L.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Scolarici and L
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.814124Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 106cd48f-3370-4c5a-8afc-af9795a5dca4 · outbound
This paper cites Differential equations invariant under finite reflection groups.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Differential equations invariant under finite reflection groups
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:45:05.011665Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8386e2b6-c922-4dcd-abb8-74606748a1f3 · outbound
This paper cites an unresolved cited work.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Unresolved cited work
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.823920Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 081cf6e1-5338-41b8-bbb4-6ba3193d0cd4 · outbound
This paper cites Quaternion algebras , volume 288 of Graduate Texts in Mathematics.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Quaternion algebras , volume 288 of Graduate Texts in Mathematics
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.828954Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3344966b-d12f-4457-b369-52363b5e31b0 · outbound
This paper cites On the construction of equiangular frames from graphs.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ On the construction of equiangular frames from graphs
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:45:04.971377Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b926deac-07c6-4702-9058-dce6e0211ee1 · outbound
This paper cites an unresolved cited work.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Unresolved cited work
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.838939Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22e431fe-4995-4bae-b364-a0d46972deba · outbound
This paper cites Tight frames over the quaternions and equiangular lines, 2020.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Tight frames over the quaternions and equiangular lines, 2020
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:45:04.942424Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6753253d-1a69-4684-b662-7f21b315a465 · outbound
This paper cites A variational characterisation of projective spherical designs over the quaternions, 2020.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ A variational characterisation of projective spherical designs over the quaternions, 2020
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.849941Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa3b28fd-ed75-4bee-b2ce-8c87bb070741 · outbound
This paper cites Quantum Designs: Foundations of a non-commutative Design Theory.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Quantum Designs: Foundations of a non-commutative Design Theory
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:45:04.913666Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6a2dddc1-5135-4e20-a7e9-456c2f8a32b3 · outbound
This paper cites Quaternions and matrices of quaternions.
The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$ Quaternions and matrices of quaternions
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:45:04.859899Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 3df10745-c789-4325-8f64-40001164f14d · inbound
An elementary classification of the quaternionic reflection groups of rank two cites this paper.
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.
Observation ca27df26-887a-44c0-a4c4-cb0c9e3e3ae4 · 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 The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$
Reference 3
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-07-11T15:18:05.014142Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 03397f9c-2faf-439d-b5c7-b3c9c8d2de7e · 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 The geometry of the six quaternionic equiangular lines in $\mathbb{H}^2$
Reference 45
- Resolution
- unresolved
- no resolver link, observed 2026-07-11T15:10:47.642128Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.