Pith. sign in

Paper Citation Record · LEDGER

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules

As of 19 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2606.19028.

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

pith.paper-citation-record.v1
2606.19028 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T19:01:05.634416Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

15 of 15 outbound references displayed

  • verified exact3
  • verified fuzzy0
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a733a5a5-02a8-4fa0-9254-3368bd82a1c9 · outbound

This paper cites Classification of the irreducible representations of sl (2, C ).

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules Classification of the irreducible representations of sl (2, C )

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-26T19:01:05.634416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:01:05.634416Z digest=sha256:d88917419f85e0c402e4c1b0eacc4855e9379619434697b381f3fcf6df21dac6

Observation ef6e7c90-78d7-4e71-bbcb-d4a72c9d88c7 · outbound

This paper cites The irreducible representations of the Lie algebra sl (2) and of the Weyl algebra.

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules The irreducible representations of the Lie algebra sl (2) and of the Weyl algebra

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-26T19:01:05.634416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:01:05.634416Z digest=sha256:671065d3f64a3a1630e3e9339a10c04d3b855829e9bbc6ec5955d9e3bfc030cb

Observation db6b8374-e941-4372-8edb-b8fbe0edc638 · outbound

This paper cites Irreducible skew polynomials over domains.

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules Irreducible skew polynomials over domains

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-26T19:01:05.634416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:01:05.634416Z digest=sha256:eaf18e479364ea463da0981a12fe607c4a605f332089c46e9f6511774015bb45

Observation 0555e6ef-a39e-4a37-bf10-7acc1d524a02 · outbound

This paper cites How a nonassociative algebra reflects the properties of a skew polynomial.

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules How a nonassociative algebra reflects the properties of a skew polynomial

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-26T19:01:05.634416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:01:05.634416Z digest=sha256:44d429a3517950c77023f8583b43ef46fe48938d4a21182bf395ef70fccd521b

Observation ef664918-1017-45af-8d86-31bd6cc271d8 · outbound

This paper cites Enveloping algebras.

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules Enveloping algebras

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-26T19:01:05.634416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:01:05.634416Z digest=sha256:2eff1be12c2ecde11223b6d874b0dceaaff42a10f683c07d5484e9f264d0f2f4

Observation 876673e9-53e8-4d99-af57-6357986e53dd · outbound

This paper cites Simple sl _2 -modules that are torsion free U(h) -mo\-du\-les of rank 1.

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules Simple sl _2 -modules that are torsion free U(h) -mo\-du\-les of rank 1

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-04T02:49:25.084072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-26T19:01:05.634416Z digest=sha256:2ac969ea4f672d2a45dda1355a1822e129fa7b183f6d5ce86237c2c96d5686bc

Observation 58ac8473-666a-482f-887a-3200d533fe34 · outbound

This paper cites A family of simple U( h ) -free modules of rank 2 over sl _2.

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules A family of simple U( h ) -free modules of rank 2 over sl _2

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-07-04T02:49:25.086898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-26T19:01:05.634416Z digest=sha256:806dc726a76f47da04621d0a4ccb1b1ad2d455be91ceaed0882d4a114e529c80

Observation ba5b6277-72b9-4ebb-ba03-69737d238b4d · outbound

This paper cites Representations of semisimple Lie algebras in the BGG category O.

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules Representations of semisimple Lie algebras in the BGG category O

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-26T19:01:05.634416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:01:05.634416Z digest=sha256:9fe2b72567622fc958c795cd9b5d4c32ce34c378e64e80216cad5d62b9c6205b

Observation 79f21b9a-4512-4c97-b564-286d00e771e2 · outbound

This paper cites On category O for affine Grassmannian slices and categorified tensor products.

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules On category O for affine Grassmannian slices and categorified tensor products

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-26T19:01:05.634416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:01:05.634416Z digest=sha256:a6db5dbeac7a7bde7642946bf33858f44447f4967a43a5413b0ff97ad1f2a761

Observation ab3a4c55-c140-44b5-92f7-9b495d0457e8 · outbound

This paper cites Lifting free modules to generalized Weyl algebras.

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules Lifting free modules to generalized Weyl algebras

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-04T02:49:25.082756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-26T19:01:05.634416Z digest=sha256:f64f5dd61c768641d9054b3ce68bb67217c7e96e68d1b617d460a62325bbe975

Observation bb8f363f-5eb3-4b83-b6d2-8bf685813041 · outbound

This paper cites Classification of irreducible weight modules.

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules Classification of irreducible weight modules

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-26T19:01:05.634416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:01:05.634416Z digest=sha256:69d32570d0284d5b475129a3a9ab4bc29d018c670becc6fdbf9bd9ebd6e3b6ad

Observation aacdf0db-a83d-46d8-8fd8-3130100f7af4 · outbound

This paper cites Lectures on sl _2( C ) -modules.

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules Lectures on sl _2( C ) -modules

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-26T19:01:05.634416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:01:05.634416Z digest=sha256:cc65d1aa87698b737f0611b538ceec4b8e9d17808e003fc835e1f036177cb32d

Observation 05b8f9df-eaa1-44f8-bb6d-ca44a745dfca · outbound

This paper cites Simple sl _ n+1 -module structures on U(h).

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules Simple sl _ n+1 -module structures on U(h)

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-26T19:01:05.634416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:01:05.634416Z digest=sha256:fcbfcffc24b4315cfe7549bdac480984989de71d4756cdbc6a7ad29519f43722

Observation a2f1eef0-885d-4c6c-a69a-0e9c51fba679 · outbound

This paper cites Simple sl (V) -modules which are free over an abelian subalgebra.

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules Simple sl (V) -modules which are free over an abelian subalgebra

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-26T19:01:05.634416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:01:05.634416Z digest=sha256:18349cd4fd0433d34c0f059302c13553630b9c94cd0c9f285d151704a4aea53b

Observation 72df740e-cb84-4521-991d-6b30e44a4dfb · outbound

This paper cites Galois theory of difference equations.

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules Galois theory of difference equations

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-26T19:01:05.634416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:01:05.634416Z digest=sha256:9bea5445ff21bd86122add027799b901466f17be05645e3a8a1bb2d2ecef96bc

Pith citing papers

No inbound Pith citation observations are available.