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Paper Citation Record · LEDGER

Maps preserving the idempotency of Jordan products

As of 7 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2506.04412.

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

pith.paper-citation-record.v1
2506.04412 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:57:02.947519Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0393e43c-5900-4676-b453-4eeb0e1d93f3 · outbound

This paper cites Alaminos, M.

Maps preserving the idempotency of Jordan products Alaminos, M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:03.142568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.886902Z digest=sha256:ef708dcf6d38f50411753796433c7c943ed0725f486ed2606a2ead3fa04c78f9

Observation ae1fee3b-a249-4654-904e-c4efacd2f7c7 · outbound

This paper cites an unresolved cited work.

Maps preserving the idempotency of Jordan products Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:03.133895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.891112Z digest=sha256:e85abddcd99864352eb49672f2a260eca17a98c9138e75c6f67ba1ba637de535

Observation 8ecb3a6a-f016-4fe8-ab42-7107ac2992eb · outbound

This paper cites Breˇ sar and P.

Maps preserving the idempotency of Jordan products Breˇ sar and P

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:03.124456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.894617Z digest=sha256:1de5adedbebf3fea65b2a746ccc121fc9fed269ca7404f6fde3a86a121070589

Observation ceed8df4-df5d-4151-a0d8-983d741656fd · outbound

This paper cites an unresolved cited work.

Maps preserving the idempotency of Jordan products Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:03.115564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.897873Z digest=sha256:d2a67c488778c7b7ed2df8e3324773752ff7f6c5363692ce4bb65c310e00c424

Observation 3fc262da-6f91-4252-8a07-56b164d1af91 · outbound

This paper cites an unresolved cited work.

Maps preserving the idempotency of Jordan products Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:03.106915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.901180Z digest=sha256:bacb7e3fda26435c9a148987826e1db7ab13fe3af1f0d6f901000cc74a91dbb7

Observation 8956a9f2-8a0a-409c-b176-396ed4587fde · outbound

This paper cites Fang, Linear maps preserving the idempotency of Jordan products of operators, Electron.

Maps preserving the idempotency of Jordan products Fang, Linear maps preserving the idempotency of Jordan products of operators, Electron

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:03.097775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.904542Z digest=sha256:e453c9928b7f0ec00637afbdf1e75feeaad4e09bc2572f88b6f515a802bcb569

Observation 66014d09-9b6f-44a8-9938-c7623ac38a83 · outbound

This paper cites Fang and W.-Z.

Maps preserving the idempotency of Jordan products Fang and W.-Z

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:03.088724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.907987Z digest=sha256:3e01502a9b9a2d6052e2c82428f34845ff23129faf88543fd6e1a6c22f6b0c27

Observation 5563dd40-2c2c-4180-9dda-d2cdfe19ef20 · outbound

This paper cites an unresolved cited work.

Maps preserving the idempotency of Jordan products Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:03.080042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.910945Z digest=sha256:8db10b9f0fe8be985f2f4430d74c006ef54f2300747082bbd7f561ca0696fbaa

Observation d825e0f4-5c1a-4211-9b79-c81df8e1b9dc · outbound

This paper cites an unresolved cited work.

Maps preserving the idempotency of Jordan products Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:03.071073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.914127Z digest=sha256:2faf3573cfc3f25341ee63187a49e931ed633e275e1cd31c6b972a700d7f5da3

Observation 2477d3a4-2066-43e7-9f9e-93b53c975226 · outbound

This paper cites Hou and M.

Maps preserving the idempotency of Jordan products Hou and M

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:03.061421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.917310Z digest=sha256:5d1e60ae037007db1dc5175051f63bd9f9a08efeda6963b4e506406e9453e433

Observation 5612c281-d8e5-4f26-b7b0-65d9c12d8c40 · outbound

This paper cites Hou, C.-K.

Maps preserving the idempotency of Jordan products Hou, C.-K

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:03.051981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.920452Z digest=sha256:fb67185fafac32115577ed7c12830363f94cde2e6d6e4d6c9c201119e2ad0439

Observation 81cacfc8-50d8-4ff1-9b4f-00105891c385 · outbound

This paper cites Kestelman, Automorphisms in the field of complex numbers , Proc.

Maps preserving the idempotency of Jordan products Kestelman, Automorphisms in the field of complex numbers , Proc

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:03.042908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.923679Z digest=sha256:85653219c51224c20bca704b95e727f3768f4356f326947c390938c8fbd708ee

Observation 0cc4657d-d272-4eae-956d-437c165c3085 · outbound

This paper cites Moln´ ar,Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn ’s version of Wigner’s theorem, J.

Maps preserving the idempotency of Jordan products Moln´ ar,Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn ’s version of Wigner’s theorem, J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:03.033810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.926566Z digest=sha256:cc7be9fc75aefda9cddd6939b7f6253b9b845fc7549819ed3474a39d0fce495b

Observation 05bda010-5843-4a45-9a26-bacd3ea07c55 · outbound

This paper cites Petek, Mappings preserving the idempotency of products of operators , Linear Algebra Appl.

Maps preserving the idempotency of Jordan products Petek, Mappings preserving the idempotency of products of operators , Linear Algebra Appl

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:03.023421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.929797Z digest=sha256:8e266fe9d1f977875bd8b637811c7356211d7e666e3703dd8cab32c717c9ac1e

Observation 3e5b8581-415f-491f-b6f4-cc712776ca7b · outbound

This paper cites ˇSemrl, Maps on idempotents , Studia Math.

Maps preserving the idempotency of Jordan products ˇSemrl, Maps on idempotents , Studia Math

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:03.013876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.932743Z digest=sha256:fdaa6b597ff9cbc0c9efbe9c49640ec92c425029ed487f776b312387e208f8df

Observation 35e937bf-436d-44a2-a33f-fef6eeb662ae · outbound

This paper cites ˇSemrl, Non-linear commutativity preserving maps , Acta Sci.

Maps preserving the idempotency of Jordan products ˇSemrl, Non-linear commutativity preserving maps , Acta Sci

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:03.003369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.938810Z digest=sha256:8a7efb232aa716e884fc797386f3c6ac98302c0de774a3983b51f3adea0f576d

Observation cfb9629c-c384-4fad-9907-5cf3e8cf5cbf · outbound

This paper cites Taghavi, R.

Maps preserving the idempotency of Jordan products Taghavi, R

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:02.993190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.941663Z digest=sha256:1af507fb9fb7c696d53f64e5772236f92692d23515e4a42c77f1798e7de61615

Observation 33b14120-362e-4971-8af7-18bad6849314 · outbound

This paper cites Qi and M.

Maps preserving the idempotency of Jordan products Qi and M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:02.984110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.944532Z digest=sha256:caa0fd68400382af17fa8b1e79357bd023a2ac074109685f1dd1c3d20b5bf4bb

Observation afb1b3b9-d846-4a4e-b3d4-2c527d1dc8d4 · outbound

This paper cites Zhao and J.

Maps preserving the idempotency of Jordan products Zhao and J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:02.974489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:02.947519Z digest=sha256:4025313d00eaa1ad5f37f92ada26c95e0fff0c94f05df7a82db702adec890a99

Pith citing papers

No inbound Pith citation observations are available.