Paper Citation Record · LEDGER

Strongly topologically orderable gyrogroups with a suitable set

As of 23 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2507.10909.

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

pith.paper-citation-record.v1
2507.10909 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:34:03.708031Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

18 of 18 outbound references displayed

verified exact2
verified fuzzy12
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3fd24e1a-b97e-4f47-9c51-a68cb15234ab · outbound

This paper cites Arhangel’ski ˇ ı, M.

Strongly topologically orderable gyrogroups with a suitable set Arhangel’ski ˇ ı, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:34:05.889357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4c2529f1-e54b-4c0f-832c-a6e35938ff21 · outbound

This paper cites Atiponrat, Topological gyrogroups: generalization of topological groups, Topol.

Strongly topologically orderable gyrogroups with a suitable set Atiponrat, Topological gyrogroups: generalization of topological groups, Topol

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:34:05.881497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2a6e01d4-5830-4575-a93c-724d2bbbc24c · outbound

This paper cites an unresolved cited work.

Strongly topologically orderable gyrogroups with a suitable set Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:34:05.873765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e6d89222-99f5-4385-8f12-165403f174ab · outbound

This paper cites Buch, Continuously ordered spaces and the Jordan curve theorem, Thesis.

Strongly topologically orderable gyrogroups with a suitable set Buch, Continuously ordered spaces and the Jordan curve theorem, Thesis

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:34:05.808820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f7d58373-4194-48b5-9ba7-9baf51e24d51 · outbound

This paper cites an unresolved cited work.

Strongly topologically orderable gyrogroups with a suitable set Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:34:05.641362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 79d45b09-bbd1-40da-9bfc-7ad4ea8cba5b · outbound

This paper cites Engelking, General topology, Revised and completed ed., Heldermann, Berlin, 1989.

Strongly topologically orderable gyrogroups with a suitable set Engelking, General topology, Revised and completed ed., Heldermann, Berlin, 1989

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:34:05.470523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 303daedc-3916-4b44-8c92-e191d1c5081d · outbound

This paper cites Herrlich, Ordnungsf¨ ahigkeit total-diskontinuierlicher R¨ aume.

Strongly topologically orderable gyrogroups with a suitable set Herrlich, Ordnungsf¨ ahigkeit total-diskontinuierlicher R¨ aume

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:34:05.271161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3e3261d0-f040-4782-8ac3-d1093d9ec91c · outbound

This paper cites Herrlich, A note on zero-dimensional spaces with the star-finite property.

Strongly topologically orderable gyrogroups with a suitable set Herrlich, A note on zero-dimensional spaces with the star-finite property

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:34:05.116036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f0b043c7-b761-4ab8-918c-57b08d2d1839 · outbound

This paper cites Hoffmann, S.

Strongly topologically orderable gyrogroups with a suitable set Hoffmann, S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:34:04.976805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 60bb1a9e-4754-4fb5-b1d8-a8a99375bde6 · outbound

This paper cites Quotients with respect to strongly $L$-subgyrogroups.

Strongly topologically orderable gyrogroups with a suitable set Quotients with respect to strongly $L$-subgyrogroups

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:34:04.078290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8ece69ef-f4ec-49c6-9a6b-79bf96721bdd · outbound

This paper cites Suitable sets for strongly topological gyrogroups.

Strongly topologically orderable gyrogroups with a suitable set Suitable sets for strongly topological gyrogroups

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:34:03.900464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b3451e73-6199-4561-b687-4f186107c88c · outbound

This paper cites an unresolved cited work.

Strongly topologically orderable gyrogroups with a suitable set Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:34:04.883480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fbff498b-438e-4ef4-a050-1be418654a10 · outbound

This paper cites Nyikos, H.C.

Strongly topologically orderable gyrogroups with a suitable set Nyikos, H.C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:34:04.770505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 569cfd82-48c6-4998-a655-797f35e6aea0 · outbound

This paper cites Nyikos, H.C.

Strongly topologically orderable gyrogroups with a suitable set Nyikos, H.C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:34:04.673740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 682f384c-230b-4490-bcdf-cf1b90ac217e · outbound

This paper cites Suksumran, K.

Strongly topologically orderable gyrogroups with a suitable set Suksumran, K

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:34:04.573253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f7b8872b-adf6-423a-84be-6c80fe239df9 · outbound

This paper cites Tkachenko, Generating dense subgroups of topological groups, Topol.

Strongly topologically orderable gyrogroups with a suitable set Tkachenko, Generating dense subgroups of topological groups, Topol

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:34:04.439155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 594fc00d-2312-48db-9e97-9e7e9415acd0 · outbound

This paper cites Venkataraman, M.

Strongly topologically orderable gyrogroups with a suitable set Venkataraman, M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:34:04.323379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 865e9024-7e8c-4195-8a93-8af18dcbbe6b · outbound

This paper cites an unresolved cited work.

Strongly topologically orderable gyrogroups with a suitable set Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:34:04.194414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.