Paper Citation Record · LEDGER

Equivalence of the categories of group triples and of hypergroups over the group

As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1908.01360.

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

pith.paper-citation-record.v1
1908.01360 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:24:45.484351Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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 exact0
verified fuzzy10
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bdf19b2f-b5bf-4f8b-82df-aabda0241b92 · outbound

This paper cites an unresolved cited work.

Equivalence of the categories of group triples and of hypergroups over the group Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:24:45.703476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 776e6cac-fee5-437d-a83a-870a9e1fe201 · outbound

This paper cites an unresolved cited work.

Equivalence of the categories of group triples and of hypergroups over the group Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:24:45.687377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a1b95c7a-5bc8-4b9a-a535-3b92c23abae9 · outbound

This paper cites H., Structures induced on ttansversals to subgroups of a group a nd hypergroups over the group,.

Equivalence of the categories of group triples and of hypergroups over the group H., Structures induced on ttansversals to subgroups of a group a nd hypergroups over the group,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:45.671886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f760f5f9-dda5-4e91-9d39-46a75b5d36fd · outbound

This paper cites H., Hypergroups over the group and generalizations of Shreier’ s theorem on group extensions, arXiv: 1403.

Equivalence of the categories of group triples and of hypergroups over the group H., Hypergroups over the group and generalizations of Shreier’ s theorem on group extensions, arXiv: 1403

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:45.655325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a40ac841-da37-4d64-ab62-e70bf7be13e4 · outbound

This paper cites Scandinaves Stockholm, 1934, 45-49.

Equivalence of the categories of group triples and of hypergroups over the group Scandinaves Stockholm, 1934, 45-49

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:45.638486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d2d792c3-8214-4f9f-bc1e-df96777f5b23 · outbound

This paper cites S., Hypergroups, Amer J Math 59, (1937), 77-98.

Equivalence of the categories of group triples and of hypergroups over the group S., Hypergroups, Amer J Math 59, (1937), 77-98

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:45.622419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d6985d7d-f32c-42fa-bbc3-7fc3568af02a · outbound

This paper cites L., Hypergroups and hypergroup algebras , results of science and techn.

Equivalence of the categories of group triples and of hypergroups over the group L., Hypergroups and hypergroup algebras , results of science and techn

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:45.605588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 013b3c5b-3d4b-402f-8df0-c7eda22e6589 · outbound

This paper cites J., An Introduction to the Theory of Groups , Springer-Verlag, 1994.

Equivalence of the categories of group triples and of hypergroups over the group J., An Introduction to the Theory of Groups , Springer-Verlag, 1994

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:45.588540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0c18dc09-be85-49a8-b88c-eaf868e5d148 · outbound

This paper cites H., Decompositions of Groups , J.

Equivalence of the categories of group triples and of hypergroups over the group H., Decompositions of Groups , J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:45.572511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 30e26c59-3c25-4aa5-ba92-8a5ed212f27d · outbound

This paper cites G., Theory of Groups , Moscow, Nauka, 1967 (In Russian).

Equivalence of the categories of group triples and of hypergroups over the group G., Theory of Groups , Moscow, Nauka, 1967 (In Russian)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:45.556666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6479eb6a-ad2f-4965-858b-df809d7595a9 · outbound

This paper cites of Algebra, 181, 70 - 81, 1996.

Equivalence of the categories of group triples and of hypergroups over the group of Algebra, 181, 70 - 81, 1996

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:45.539389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6105c428-5cae-493e-8501-0d55b4ee32f9 · outbound

This paper cites On Unitary Hypergroups over the Group , Lobachevskii J.

Equivalence of the categories of group triples and of hypergroups over the group On Unitary Hypergroups over the Group , Lobachevskii J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:24:45.521811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.