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Paper Citation Record · LEDGER

Module structure of the Lie algebra $W_n(K)$ over $sl_n(K)$

As of 7 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 1 inbound Pith citation observation for arXiv:2505.21709.

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

pith.paper-citation-record.v1
2505.21709 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:45:12.210870Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-25T05:22:33.931727Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-25T05:25:23.555887Z

Reference resolution

8 of 8 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7827dd2d-d763-427d-8fc3-0403a9014c78 · outbound

This paper cites Bavula, The groups of automorphisms of the Lie algebras of po lynomial vector fields with zero or constant divergence, Communications in Algebra, (2013), 45(3), 1114-1133.

Module structure of the Lie algebra $W_n(K)$ over $sl_n(K)$ Bavula, The groups of automorphisms of the Lie algebras of po lynomial vector fields with zero or constant divergence, Communications in Algebra, (2013), 45(3), 1114-1133

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:45:13.871207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:45:11.511837Z digest=sha256:49884b56bf92dc87bb38d5c560526be4e02d0c9b3ec016e5d2b384b353a30554

Observation fee15bec-eca7-449b-a238-507a015a5322 · outbound

This paper cites an unresolved cited work.

Module structure of the Lie algebra $W_n(K)$ over $sl_n(K)$ Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:45:13.678116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:45:11.601689Z digest=sha256:4f696638abaffda7d81ccf8cbe309e9c86c31bb5cca31805bfa099a6f492d225

Observation 91608b1b-4948-481d-be39-a269458f12db · outbound

This paper cites Journal of Algebra, (2021), v.576, 1-26.

Module structure of the Lie algebra $W_n(K)$ over $sl_n(K)$ Journal of Algebra, (2021), v.576, 1-26

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:45:13.445892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:45:11.702912Z digest=sha256:bbde557afe3d83a61783285880e6d7846feeaae62c125e10bf6ad01013d7f3d5

Observation f4dc25ea-bb95-4e54-baeb-2304dcdf3589 · outbound

This paper cites Humphreys, Introduction to Lie Algebras and Representat ion Theory, Springer Verlag, New York, 1972.

Module structure of the Lie algebra $W_n(K)$ over $sl_n(K)$ Humphreys, Introduction to Lie Algebras and Representat ion Theory, Springer Verlag, New York, 1972

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:45:13.210249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:45:11.758299Z digest=sha256:678b76957842e473a3e8fe6c45c47035ffebbcfac66b0cfbedd40ee271ca0326

Observation 9856faf2-0299-4d6f-8014-de623ac383b5 · outbound

This paper cites an unresolved cited work.

Module structure of the Lie algebra $W_n(K)$ over $sl_n(K)$ Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:45:13.046578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:45:11.866836Z digest=sha256:06ae517c08c571bdc42444c7387cc1860d0e2c9db89dec9f8608bfb5d8ac116b

Observation 44f4fe24-1bdf-4f16-ab51-28b94c9f9bb9 · outbound

This paper cites Nowicki, Polynomial derivations and their rings of constants, N .Copernicus University Press, 1994, Torun.

Module structure of the Lie algebra $W_n(K)$ over $sl_n(K)$ Nowicki, Polynomial derivations and their rings of constants, N .Copernicus University Press, 1994, Torun

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:45:12.891526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:45:12.012917Z digest=sha256:77d75cf6c75f05b63c03e7b5026c0e34d0f6fdaad1c4d4a68fc665601e6372d1

Observation 98084ccd-bdc4-4cc1-a4bd-3664c699e536 · outbound

This paper cites an unresolved cited work.

Module structure of the Lie algebra $W_n(K)$ over $sl_n(K)$ Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:45:12.643369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:45:12.127539Z digest=sha256:2ba7b3e76af361f2ec88295a2dd85d18324543efeb6602da8cdd902978d49226

Observation 33412067-e641-4d60-9123-dc740d0f7f71 · outbound

This paper cites an unresolved cited work.

Module structure of the Lie algebra $W_n(K)$ over $sl_n(K)$ Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:45:12.449058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:45:12.210870Z digest=sha256:f61e35f7d8c9a04ed01b5a078c55cb5de43875b6b604b2dfa0d6801e842054bc

Pith citing papers

Observation b93df62e-9a93-4144-a401-6d5a42634007 · inbound

Maximal subalgebras of the Lie algebra $W_n(\mathbb{K})$ cites this paper.

Maximal subalgebras of the Lie algebra $W_n(\mathbb{K})$ Module structure of the Lie algebra $W_n(K)$ over $sl_n(K)$

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-25T05:25:23.558352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-25T05:22:33.931727Z digest=sha256:0a075cbeac9d66f259dcc31d7cb0cfd2b6df3700e872a5c2944b5644ba8ac4bc