Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T14:43:35.672577Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T14:43:35.672577Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
12 of 12 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 75ff030d-7379-4168-a853-d374e8efa796 · outbound
Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work
Reference 1
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.
Observation 32a6f641-a6c3-4857-9239-b9ab7b3ae2ad · outbound
Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work
Reference 2
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.
Observation ce91da10-0ccb-400e-b505-b06d712a7277 · outbound
Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work
Reference 3
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.
Observation 0167bb04-bea8-426c-8e3c-9107fc325efa · outbound
Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work
Reference 4
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.
Observation e0f15833-1395-4aec-ba8e-5634e930c39e · outbound
Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work
Reference 5
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.
Observation 652e51c6-f383-4517-81a7-175787e69c8f · outbound
Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work
Reference 6
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.
Observation 8556660f-61e2-4034-a0a5-8e097c399fb8 · outbound
Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Mitchell and W
Reference 7
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.
Observation 51408252-f1da-44d0-ba25-aedc05ec575f · outbound
Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work
Reference 8
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.
Observation e2e58271-3d38-4c35-8e0d-efbff5bd2c94 · outbound
Transformation Semigroups Which Are Disjoint Union of Symmetric Groups The regular part of transformation semigroups that preserve double direction equivalence relation
Reference 9
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.
Observation b1738171-05d6-4386-85f8-dca9f45182d9 · outbound
Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work
Reference 10
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.
Observation f3b1403e-a65e-4dfd-add4-880b3693dca4 · outbound
Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Sun and J
Reference 11
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.
Observation a72a6434-7090-4f8c-8727-3c3ad24a0e38 · outbound
Transformation Semigroups Which Are Disjoint Union of Symmetric Groups Unresolved cited work
Reference 12
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.
No inbound Pith citation observations are available.