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Paper Citation Record · LEDGER

On Four-Dimensional Unital Division Algebras over Fields of Characteristic not 2

As of 16 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:1908.06811.

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

pith.paper-citation-record.v1
1908.06811 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:43:19.266014Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

11 of 11 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b041a825-ba87-4f1f-876f-48e77cb185e6 · outbound

This paper cites Alsaody, Composition algebras and outer automorphisms of algebraic groups via triality , Comm.

On Four-Dimensional Unital Division Algebras over Fields of Characteristic not 2 Alsaody, Composition algebras and outer automorphisms of algebraic groups via triality , Comm

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:19.433937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:43:19.220977Z digest=sha256:3b1e1527356f0f3e7d05d74ef4ce0c9dbd7697bbeea085fc044042e9e432e78e

Observation ec21ee2b-9006-4b46-8299-2a486d31a6a6 · outbound

This paper cites Bani-Ata, S.

On Four-Dimensional Unital Division Algebras over Fields of Characteristic not 2 Bani-Ata, S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:19.421352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:43:19.225654Z digest=sha256:6e9247384dce7d2e05c28a9e593c0fe3e46b32b5691f592eb1cff438dd9fbb70

Observation 3c9df2e8-b63e-4300-9d71-2d052c68945a · outbound

This paper cites Curtis, I.

On Four-Dimensional Unital Division Algebras over Fields of Characteristic not 2 Curtis, I

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:19.406242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:43:19.229843Z digest=sha256:ddb0aa3ad6f4df926629e9baa9c42b53ab5e950a8294423d56a1d880cbf805ff

Observation 7bfac9f2-bec7-4115-a013-b359e2abcc49 · outbound

This paper cites Dieterich, Classification, automorphism groups and categorical struc- ture of the two-dimensional real division algebras , J.

On Four-Dimensional Unital Division Algebras over Fields of Characteristic not 2 Dieterich, Classification, automorphism groups and categorical struc- ture of the two-dimensional real division algebras , J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:19.394118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:43:19.234030Z digest=sha256:f3ba61c6d70eea573f11de6fb997301be0f0e58223218f673dba23cd581443ba

Observation 233943e8-f80c-4c87-87e9-ae9cbb873a19 · outbound

This paper cites Dieterich, A general approach to finite-dimensional division algebras , Colloq.

On Four-Dimensional Unital Division Algebras over Fields of Characteristic not 2 Dieterich, A general approach to finite-dimensional division algebras , Colloq

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:19.383053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:43:19.238357Z digest=sha256:4782fab55e5d62e87c20eddf0f6989a34de89a28489f0794efc7d9dd1afd8408

Observation 6e88e5b0-a6de-4601-8e66-6fefcb76987e · outbound

This paper cites Gabriel, Matrizen, Geometrie, Lineare Algebra , Birkh¨ auser Advan- ced Texts, Birkh¨ auser Verlag 1996.

On Four-Dimensional Unital Division Algebras over Fields of Characteristic not 2 Gabriel, Matrizen, Geometrie, Lineare Algebra , Birkh¨ auser Advan- ced Texts, Birkh¨ auser Verlag 1996

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:19.370345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:43:19.243928Z digest=sha256:863f6819b374ed851a7d88d648ba7dae201325da10ebcb4a7d63657a05f7a794

Observation 4b437c97-88ba-4fba-9d4e-308f552564c7 · outbound

This paper cites Gabriel, A.V.

On Four-Dimensional Unital Division Algebras over Fields of Characteristic not 2 Gabriel, A.V

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:19.357956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:43:19.248589Z digest=sha256:c18bb3480de469433b725c37bba3ad545c1f94902905659ec41cda5bdc37637b

Observation 4d622aff-4841-4814-a497-c23c8557d624 · outbound

This paper cites Grillet, Abstract algebra, Second Edition, Graduate Texts in Ma- thematics 242, Springer 2007.

On Four-Dimensional Unital Division Algebras over Fields of Characteristic not 2 Grillet, Abstract algebra, Second Edition, Graduate Texts in Ma- thematics 242, Springer 2007

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:19.345265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:43:19.253372Z digest=sha256:0c692aa494761573ec559b14d545c81aba62d273dce5fa82365c6ee0e18d9f5b

Observation 1dc48a1a-ac53-4524-8714-da3f40909f8d · outbound

This paper cites On the classification of rational four-dimensional unital division algebras.

On Four-Dimensional Unital Division Algebras over Fields of Characteristic not 2 On the classification of rational four-dimensional unital division algebras

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:43:19.304301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:43:19.257792Z digest=sha256:fac8a659e22a49879bd42475d04aed0086265e1848f2bd7bdc93962dc5bba304

Observation ad0114d9-1f87-4b41-aa7a-de7ea1702bec · outbound

This paper cites Reiner, Maximal orders, L.M.S.

On Four-Dimensional Unital Division Algebras over Fields of Characteristic not 2 Reiner, Maximal orders, L.M.S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:19.331433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:43:19.262121Z digest=sha256:a03b5b858ab684465d14dc5d1475f58f2d29095d3402baf3bc0ca8bf23d35a7e

Observation 628c9888-9387-4890-8675-702931c3077b · outbound

This paper cites Springer, F.D.

On Four-Dimensional Unital Division Algebras over Fields of Characteristic not 2 Springer, F.D

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:19.318868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:43:19.266014Z digest=sha256:799f284f4f337e0f5f03946611af145c51325b8f348bdf5dbd56fc370b11dd56

Pith citing papers

No inbound Pith citation observations are available.