Pith. sign in

Paper Citation Record · LEDGER

A note on additive commutator groups in certain algebras

As of 19 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.189954Z digest=sha256:2a448ec3e3325a770041f4dcf5deaf98f1919ef6b07454160c58765275c0e5ba

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.194791Z digest=sha256:00b80fd5d7e6d34827bfa3c88933cf93d885a8edad07676ef3c8ff6a11d56fe4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.199905Z digest=sha256:bbf18b55470cfb763108a667847b711c9f444548acaf1fe50ca121afa22600d9

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.204755Z digest=sha256:b7e0a27cee0d9359a5a4bc9303e25c4e2a6220df21fe2b05e04ee5a767daf15e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.209464Z digest=sha256:1a2994c9e3e650a0ad93834687e934d2cba1b8c60e80df947e2c331ace22c09d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.214030Z digest=sha256:b73be4fae20709c5df9610d5d26873f5317e41dfb78a4e4ab3f29fc77347360c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.218443Z digest=sha256:3cde3c77f20a26d8c725ed180bdb7194ceedaccb993e7f1374aa81b167bca6c0

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.222228Z digest=sha256:0f0f5eed9e4a4256b1cdc1dbfd985cde2d899039a6e1bb327bc3c3bf5449c9c7

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.226225Z digest=sha256:c38d645b6ad95873d295520bc8823eef87a9575be38839bc800b6b59171e8b4d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.229991Z digest=sha256:64962e495a7309b1b1b669cde06770f179b3ed6cd65e0b08dfd5f94ff07c9ec6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.233736Z digest=sha256:c4ec4cdb4bb61331558e1cb3c0b310bb53545575923dfebe7e6b02d5e9b3a7bf

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.237637Z digest=sha256:6962c6b9f71fe33082d7197485dd419f3d74689dd2f1ae6160b6f6353430828b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.241931Z digest=sha256:fdf0bc9091dffe34ff4350fa1c8ed884187045756c2a71c96baec5ca5a2cafcf

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.245794Z digest=sha256:2c0d70d8db17bf8706274ec9cb9086dd02ee40a6821466eedd46207e9cf89f9c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.250501Z digest=sha256:cf7a63346192bdc1b94b1633d36b9f1df4552e55215a13c655b2516f14272505

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.254888Z digest=sha256:625770527c1efb0258a46c5f44768b1a13a00b479985b0ef05d3878650ebcdbd

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.258567Z digest=sha256:d9e991571fcbccd0d0c6d9265227273d4d636fd41f0d96b059ee19b65555c234

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.262424Z digest=sha256:a4c8e07941610c08e7d7644556a9d33f9095b18a95da0c05db8104ccc6763d50

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.266789Z digest=sha256:f81e882b678c2079c361d800527303ed73867fecfaefda79e2bd05d238dcc84e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.270393Z digest=sha256:6a348516fb0c8a9954371abee13b0fe6669fb22cd40f8e4e038f49b917a85020

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.275305Z digest=sha256:eceeea13617283693f7b9460080e62c445fb58ff1c0519e7ecb9a42891316e5b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.279271Z digest=sha256:4a341672104b2f2e04a44efb09ba3c0ab56a11e738f1e3ece609c9d7091ba326

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.283402Z digest=sha256:b7c666873e46ba1f60b424ea6fbb7da1dbc401856ce0a38d01e7c6e28b5517d4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.287919Z digest=sha256:82d31bd79611b68cb2f1767af7a211b0b11d99ff0a64b1228d0fe44e70a44800

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.292145Z digest=sha256:2474a4d9ae9dc875ecfd9c6408796362b838e1dc685a18a963558a180f3ad0dd

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.296104Z digest=sha256:050e186d8c5bd102c8dbacece051ebeaa7ecb9976f6c4c057fffd90c67f486c3

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:27:32.301530Z digest=sha256:80c397e4a30e7e1a850e106f6b1e919b5ae1c01964ced4ed1b61eb48b9588745

Pith citing papers

No inbound Pith citation observations are available.