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Paper Citation Record · LEDGER

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups

As of 12 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2411.15081.

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

pith.paper-citation-record.v1
2411.15081 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:43:35.672577Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

12 of 12 outbound references displayed

  • verified exact1
  • verified fuzzy2
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 75ff030d-7379-4168-a853-d374e8efa796 · outbound

This paper cites an unresolved cited work.

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:43:36.721219Z

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.

source=pdf_text observed=2026-08-12T14:43:35.252329Z digest=sha256:03cdc6ebd4e1a103180778ceb45cd9f9d58afd95b71ec002c38d7c7ab776bcc0

Observation 32a6f641-a6c3-4857-9239-b9ab7b3ae2ad · outbound

This paper cites an unresolved cited work.

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:43:36.633289Z

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.

source=pdf_text observed=2026-08-12T14:43:35.285760Z digest=sha256:8b4c3442e70d9783080547c0fb765a5dc55b9d895f64c290df9b01a1379e5bd5

Observation ce91da10-0ccb-400e-b505-b06d712a7277 · outbound

This paper cites an unresolved cited work.

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:43:36.563089Z

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.

source=pdf_text observed=2026-08-12T14:43:35.324268Z digest=sha256:5ebf6402bf1c81dcc7690bd6fd903cde71f64515a07c4303d02bca663a3a347e

Observation 0167bb04-bea8-426c-8e3c-9107fc325efa · outbound

This paper cites an unresolved cited work.

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:43:36.470075Z

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.

source=pdf_text observed=2026-08-12T14:43:35.379487Z digest=sha256:67b3e7934d59c7dc390002325fc28d6eb92efab14ffbe442a03897ce20e93bd1

Observation e0f15833-1395-4aec-ba8e-5634e930c39e · outbound

This paper cites an unresolved cited work.

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:43:36.382563Z

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.

source=pdf_text observed=2026-08-12T14:43:35.416266Z digest=sha256:6b8d589919db29373f3e8fb6b8d2e6d229dda1f43a9c64367acf50be8a340ca7

Observation 652e51c6-f383-4517-81a7-175787e69c8f · outbound

This paper cites an unresolved cited work.

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:43:36.296965Z

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.

source=pdf_text observed=2026-08-12T14:43:35.449033Z digest=sha256:d2c0d7bbb52cd76b42e7e0fcd16e70c37b774fcdc13820750e91673ba50a6e7b

Observation 8556660f-61e2-4034-a0a5-8e097c399fb8 · outbound

This paper cites Mitchell and W.

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Mitchell and W

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:36.195419Z

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.

source=pdf_text observed=2026-08-12T14:43:35.476350Z digest=sha256:918b94d95686c462106524ea3ac9352eb0c5a998f5c585db6e58065f224d11c3

Observation 51408252-f1da-44d0-ba25-aedc05ec575f · outbound

This paper cites an unresolved cited work.

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:43:36.128435Z

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.

source=pdf_text observed=2026-08-12T14:43:35.511981Z digest=sha256:27b227e21caee559eff2a67c402d7ccb317e506e775c207d88d4ee765508e547

Observation e2e58271-3d38-4c35-8e0d-efbff5bd2c94 · outbound

This paper cites The regular part of transformation semigroups that preserve double direction equivalence relation.

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups The regular part of transformation semigroups that preserve double direction equivalence relation

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:43:35.773400Z

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.

source=pdf_text observed=2026-08-12T14:43:35.560369Z digest=sha256:df5cb63ffbde59b27f87d5374bbf58e4800f716889742ee6295f84e559976682

Observation b1738171-05d6-4386-85f8-dca9f45182d9 · outbound

This paper cites an unresolved cited work.

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:43:36.058072Z

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.

source=pdf_text observed=2026-08-12T14:43:35.600585Z digest=sha256:06cc866fee07d680a9ccf9db9b9631e4e2b87e12a0d49f05af283b9b1d3e29af

Observation f3b1403e-a65e-4dfd-add4-880b3693dca4 · outbound

This paper cites Sun and J.

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Sun and J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:35.960379Z

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.

source=pdf_text observed=2026-08-12T14:43:35.635022Z digest=sha256:1d33467d045e3f7f3a4f0d08270a614e5246f82f61e121c85f49ecfd893fca11

Observation a72a6434-7090-4f8c-8727-3c3ad24a0e38 · outbound

This paper cites an unresolved cited work.

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:43:35.872962Z

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.

source=pdf_text observed=2026-08-12T14:43:35.672577Z digest=sha256:1a083559b2b6195d8858e4d6188fba83ad085599d6b64af49aefd44673891bbb

Pith citing papers

No inbound Pith citation observations are available.