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Paper Citation Record · LEDGER

Jordan-H\"older with uniqueness for semimodular semilattices

As of 24 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:1908.09912.

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

pith.paper-citation-record.v1
1908.09912 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:12:51.927657Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:42:32.703106Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T15:42:36.311388Z

Reference resolution

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f8eed1e0-47db-4c9f-ab38-35bb86139840 · outbound

This paper cites A simple way of proving the J ordan- H \" o lder- S chreier theorem.

Jordan-H\"older with uniqueness for semimodular semilattices A simple way of proving the J ordan- H \" o lder- S chreier theorem

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:52.119914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:12:51.877672Z digest=sha256:3573f8d55af41d40b1edd445259863bcf95923ceb79f549756fdb72c1ed79989

Observation 43eedc35-5971-44b9-994f-99a5c84bab53 · outbound

This paper cites The J ordan- H \"o lder theorem with uniqueness for groups and semimodular lattices.

Jordan-H\"older with uniqueness for semimodular semilattices The J ordan- H \"o lder theorem with uniqueness for groups and semimodular lattices

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:52.106182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:12:51.882882Z digest=sha256:599f61c28002d17820f2b7fa3df90f894b50368fc05ac12621a1edec2e1d276b

Observation 4fd25cf7-5c12-477d-a83a-5585d537358b · outbound

This paper cites \" U ber die von drei M oduln erzeugte D ualgruppe.

Jordan-H\"older with uniqueness for semimodular semilattices \" U ber die von drei M oduln erzeugte D ualgruppe

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:52.091493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:12:51.887498Z digest=sha256:c33ba4e67a4ae72f289063f87d3b275d1312c1e100bdbdbd5547412e3b01e29d

Observation 96ece7ad-c3e2-465d-adfa-01b9789ffae6 · outbound

This paper cites a tzer and J. B. Nation. A new look at the J ordan- H \.

Jordan-H\"older with uniqueness for semimodular semilattices a tzer and J. B. Nation. A new look at the J ordan- H \

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:52.077132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:12:51.891903Z digest=sha256:33b4ff8383a2b1a2e3c93fc6f1917686854cb81e16d0c78ba15a693343dddf51

Observation 122e984d-ec68-4acb-addb-03c745bbb3c5 · outbound

This paper cites a tzer. Lattice theory: foundation . Birkh\.

Jordan-H\"older with uniqueness for semimodular semilattices a tzer. Lattice theory: foundation . Birkh\

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:52.062767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:12:51.896406Z digest=sha256:d4383d05ed9377570ed1e6feca6c18ad1523dc651e9d59aaf2c8fd1b326572bb

Observation 70ddd3b8-4f20-41a9-919b-05bd043fac2a · outbound

This paper cites Lattice Theory: Special Topics and Applications: Volume 1.

Jordan-H\"older with uniqueness for semimodular semilattices Lattice Theory: Special Topics and Applications: Volume 1

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:52.048986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:12:51.901228Z digest=sha256:689c61ee40b30c79364d8ba9222b5f2577894bd9989c5e8ff718fbdb6c097c06

Observation 90995e86-4d9a-4135-9927-12eeecf37aa3 · outbound

This paper cites o lder. Zur\.

Jordan-H\"older with uniqueness for semimodular semilattices o lder. Zur\

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:52.034589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:12:51.906039Z digest=sha256:2db4824bd55231567335888b34ee5c92e8aad6a421c54e7eeeeb1e601ab125cf

Observation 6581b641-79b7-4103-aea2-7268d5e120bf · outbound

This paper cites Th\'eor\`eme sur les \'equations alg\'ebriques.

Jordan-H\"older with uniqueness for semimodular semilattices Th\'eor\`eme sur les \'equations alg\'ebriques

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:52.020009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:12:51.910485Z digest=sha256:5313db5495a68b80147997288db9b38e5a8db764f081172ceca3ed9f65bafc1f

Observation c330e6cb-2ea3-4abb-b3ba-a584548baa15 · outbound

This paper cites Trait\'e des substitutions et des \'equations alg\'ebriques.

Jordan-H\"older with uniqueness for semimodular semilattices Trait\'e des substitutions et des \'equations alg\'ebriques

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:52.006327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:12:51.914930Z digest=sha256:38a243df10af60bdda176a3ca4277ac2684f4dbbbbd857feed6b64c4ee07fe8f

Observation 0e09aa88-1727-48c8-9298-ecc2247dedb6 · outbound

This paper cites Semimodularity and the J ordan-- H \"o lder theorem in posets, with applications to partial partitions.

Jordan-H\"older with uniqueness for semimodular semilattices Semimodularity and the J ordan-- H \"o lder theorem in posets, with applications to partial partitions

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:51.992295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:12:51.919421Z digest=sha256:f64d125400379e9c79cef56ab45509b854f8bbf3a42d17ef40088dfabe17d2c7

Observation 9daa8fc5-af2f-4e3e-9b64-bbed193d2395 · outbound

This paper cites Semimodular lattices , volume 73 of Encyclopedia of Mathematics and its Applications.

Jordan-H\"older with uniqueness for semimodular semilattices Semimodular lattices , volume 73 of Encyclopedia of Mathematics and its Applications

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:51.978232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:12:51.923617Z digest=sha256:3c95e9a1c178330cb3c8261f5d2b538843b09c18aaef9032ffeb8a2a16125708

Observation cabd5acc-8c2c-4b4a-8e3c-0f2c039ce6f0 · outbound

This paper cites Eine V erallgemeinerung der invarianten U ntergruppen.

Jordan-H\"older with uniqueness for semimodular semilattices Eine V erallgemeinerung der invarianten U ntergruppen

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:51.963701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T11:12:51.927657Z digest=sha256:4c97c019fd68077100b4d69ab289fab596cd8d7037e3f85cd7a2054944cb44ce

Pith citing papers

Observation ce64ccb7-08ee-4003-8bf7-937afc08bf3a · inbound

Beginning with You: Perceptual-Initialization Improves Vision-Language Representation and Alignment cites this paper.

Beginning with You: Perceptual-Initialization Improves Vision-Language Representation and Alignment Jordan-H\"older with uniqueness for semimodular semilattices

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:42:36.407450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:42:32.703106Z digest=sha256:9d945af2887a2c4f4c60ee2d28531ec74b57e175f60f3df3b6f6fca960d8fe65