Pith. sign in

Paper Citation Record · LEDGER

A note on additive commutator groups in certain algebras

As of 21 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2505.13303.

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

pith.paper-citation-record.v1
2505.13303 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:27:32.301530Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

27 of 27 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3c7e94c9-be0d-490e-a241-adde003a5ab2 · outbound

This paper cites Aaghabali, S.

A note on additive commutator groups in certain algebras Aaghabali, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:27:32.685458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.189954Z digest=sha256:5c58e3cf9ce71ae39732d45041c4c6f791c23278e79ff523e2102617479a0053

Observation 7efa6922-6bcd-4a21-ac08-da87fba4aeca · outbound

This paper cites an unresolved cited work.

A note on additive commutator groups in certain algebras Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:27:32.672761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.194791Z digest=sha256:52c690cb4d1272f50b95891ec41ac9ff4fb15fb8ab8a2c62d1a75d643088248d

Observation 90b99b4c-9d36-4bb3-a697-6f66ebc65fe0 · outbound

This paper cites an unresolved cited work.

A note on additive commutator groups in certain algebras Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:27:32.658424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.199905Z digest=sha256:33a197a05618788f70249318b8394567212bd9d8acf66c3954321864ba3fbba8

Observation edccfacd-452d-4d40-a222-16262e4d28c7 · outbound

This paper cites Ancochea, On semi-automorphisms of division algebras,Ann.

A note on additive commutator groups in certain algebras Ancochea, On semi-automorphisms of division algebras,Ann

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:27:32.644900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.204755Z digest=sha256:55f9da2d868ff6c03e26127dfbe137f0a06f91317cb4d6a0591f9dc4ac42b7ef

Observation 0e64dcdd-74e3-4fac-b9ff-a7faf801315e · outbound

This paper cites Archbold, L.

A note on additive commutator groups in certain algebras Archbold, L

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:27:32.633122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.209464Z digest=sha256:2f37d31fa5e5ddda9abaa798d8874be68873810fbb6faf6c7e9a2519b4ca85ac

Observation 1ad9cc89-4cd5-47ee-b57c-3da9938012d9 · outbound

This paper cites an unresolved cited work.

A note on additive commutator groups in certain algebras Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:27:32.620727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.214030Z digest=sha256:695f3321d6159301bcafaf2281f3f333d07b7db5af8b41f3d9522745b5d874c7

Observation 030eab99-4a29-41be-a62b-1cb078df49d8 · outbound

This paper cites Asano, On invariant subspaces of division algebras,K¯ odai Math.

A note on additive commutator groups in certain algebras Asano, On invariant subspaces of division algebras,K¯ odai Math

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:27:32.608047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.218443Z digest=sha256:0b5b2fe31ede9ec7a6a3626b4d54e3edd547e046147b865b4504fbd941825d00

Observation cdff84ac-216b-4aff-bb89-222158312d28 · outbound

This paper cites an unresolved cited work.

A note on additive commutator groups in certain algebras Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:27:32.596697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.222228Z digest=sha256:25281d78af21212d8b26b281c5450c371fca943240bb1cdb3e5ceba849855086

Observation f8b69492-70a1-49b5-93fd-9796f55437a1 · outbound

This paper cites Breˇ sar, E.

A note on additive commutator groups in certain algebras Breˇ sar, E

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:27:32.580720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.226225Z digest=sha256:619ffc010ff174c5a2daf84d5718f9b4992c8b0b715864db05094e22ce49e300

Observation e809a64f-ccd7-4fb5-9bed-13192d51dca2 · outbound

This paper cites Breˇ sar, Commutators and images of noncommutative polynomials.Adv.

A note on additive commutator groups in certain algebras Breˇ sar, Commutators and images of noncommutative polynomials.Adv

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:27:32.569053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.229991Z digest=sha256:2148fd9f7e2632b705a23e2e9aa41d1afcd8b2991aa3febeddb4e78c33254235

Observation 86f26bd4-99ec-4c0f-ab6c-80f16d621f6f · outbound

This paper cites an unresolved cited work.

A note on additive commutator groups in certain algebras Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:27:32.556472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.233736Z digest=sha256:6713b113b5cfd2fe4844e361a29f3113c91b6b800ba51c9db4c6d0a47249d8da

Observation 7a15b50b-21db-4c89-b23b-50c017a19785 · outbound

This paper cites an unresolved cited work.

A note on additive commutator groups in certain algebras Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:27:32.545080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.237637Z digest=sha256:85f37cbda6c240058e9fad4e8252c7d032dd9ba98bacee8b82da8157b51e85c7

Observation 1c6d2f36-d4ea-4859-bc69-2b3b6a567a0f · outbound

This paper cites Dixmier, Les anneaux d’op´ erateurs de classe finie,Ann.

A note on additive commutator groups in certain algebras Dixmier, Les anneaux d’op´ erateurs de classe finie,Ann

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:27:32.533382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.241931Z digest=sha256:075b2f057d9b268e0717ef9dc9990dc6f382d2ec914c17628bfcf211bbbba097

Observation f5a04c56-af90-4c57-8d1e-1f96120916b8 · outbound

This paper cites an unresolved cited work.

A note on additive commutator groups in certain algebras Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:27:32.521455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.245794Z digest=sha256:f9c1cf71b66cd4eac7f47c9eaee1d73dda804da5cd8561f9bc62a666e5cd4963

Observation a249760d-6cbc-48ed-bf7c-6bf1142267d3 · outbound

This paper cites an unresolved cited work.

A note on additive commutator groups in certain algebras Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:27:32.510373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.250501Z digest=sha256:9bef86f87bc1a9332cd41b8a8381f701b8c571edb1d36e975c3e7bee905880c5

Observation 7ba1dc74-b3eb-4ad2-90d2-9128107abc7d · outbound

This paper cites Algebra Appl.22, No.

A note on additive commutator groups in certain algebras Algebra Appl.22, No

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:27:32.499027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.254888Z digest=sha256:91b53c4567398aa0208f1d6977fecb8417fdee1d69982f5c702765c36d9fc800

Observation ca50e5cb-6658-4a90-a123-eea1d3bf27f0 · outbound

This paper cites Mesyan, Commutator rings,Bull.

A note on additive commutator groups in certain algebras Mesyan, Commutator rings,Bull

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:27:32.486655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.258567Z digest=sha256:b0e01c212d0b9508f827ae7d9e35b5b4d902fe218b2c9b9d62619b7de9a85902

Observation ae16fb40-c3bd-4768-987b-d09196271a0d · outbound

This paper cites an unresolved cited work.

A note on additive commutator groups in certain algebras Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:27:32.475258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.262424Z digest=sha256:b3efdf47a6f59de916e5f558f4409aa2dfd07bbfa328436fbfbac76b1c0733fa

Observation 30203d86-f40c-4691-b81f-f6916143ec30 · outbound

This paper cites an unresolved cited work.

A note on additive commutator groups in certain algebras Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:27:32.463612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.266789Z digest=sha256:3b05a328c1a6ffae667044d1468090c546a67b436ea2afbbbe0d0a731db9ddb9

Observation df9ea07a-dc1b-401a-9e1d-cedca0b6c41e · outbound

This paper cites Hazrat, Wedderburn’s factorization theorem application to reduced K-theory,Proc.

A note on additive commutator groups in certain algebras Hazrat, Wedderburn’s factorization theorem application to reduced K-theory,Proc

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:27:32.451110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.270393Z digest=sha256:5f94cf3b75ecbe0f09fcc1d4b431edea1e537a54b77d79941612b1644072f624

Observation 9e0a7880-23e7-4e77-b891-5e4d24573e4f · outbound

This paper cites Hazrat, A note on multiplicative commutators of division rings,J.

A note on additive commutator groups in certain algebras Hazrat, A note on multiplicative commutators of division rings,J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:27:32.438655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.275305Z digest=sha256:cdc9e8628d26234c32002ffc32f1b95c165542c55f9ef8fccd491725040c831d

Observation 53679296-ce59-4d4d-91ae-c9366607a0c6 · outbound

This paper cites an unresolved cited work.

A note on additive commutator groups in certain algebras Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:27:32.425530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.279271Z digest=sha256:5adf11f2149d6c25d5747ab032037a03113a7700c004e16d0aa5b85e727f8e29

Observation 33b94e87-9eed-4d8c-be2b-a0171b13403b · outbound

This paper cites an unresolved cited work.

A note on additive commutator groups in certain algebras Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:27:32.410025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.283402Z digest=sha256:73968c91418a41956be2ad1d4b259acdfb7bd9035a427f1227096a0cedee72f3

Observation 35616480-80e3-4c14-983b-25d8e5cbc290 · outbound

This paper cites Lie ideals in properly infinite C*-algebras.

A note on additive commutator groups in certain algebras Lie ideals in properly infinite C*-algebras

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:27:32.348710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.287919Z digest=sha256:689542ce05aaa32364e6e01dead7a0a7cc020f114e2fd56fb6a3c2383f6d12ba

Observation e2bab829-9b48-4371-afbe-a7f322b793c1 · outbound

This paper cites an unresolved cited work.

A note on additive commutator groups in certain algebras Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:27:32.396359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.292145Z digest=sha256:cfbbebf22ee534a42a23acd9e831d68615f962e606d682efddd24f43f44aee67

Observation 70ed3936-c0fa-4b3e-b100-526bc6670f28 · outbound

This paper cites Pop, Finite sums of commutators,Proc.

A note on additive commutator groups in certain algebras Pop, Finite sums of commutators,Proc

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:27:32.380717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.296104Z digest=sha256:91ebcfca37636b8705660ee8da7cde7d3e37bb080e1d3272f0ecd53c25883979

Observation 13d3c1b5-dd41-4e6d-b6b8-411d27f76017 · outbound

This paper cites Voight,Quaternion algebras, Graduate Texts in Mathematics288, Springer, 2021.

A note on additive commutator groups in certain algebras Voight,Quaternion algebras, Graduate Texts in Mathematics288, Springer, 2021

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:27:32.363544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:27:32.301530Z digest=sha256:2314c067cb64b9be8c56038e84f5aa48a7c6dea9d87ee52f0bd72aeac9249484

Pith citing papers

No inbound Pith citation observations are available.