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Paper Citation Record · LEDGER

Simple smooth modules over the Lie algebras of polynomial vector fields

As of 17 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.18262.

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

pith.paper-citation-record.v1
2506.18262 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:07:16.919814Z

measured 26 of 26 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

26 of 26 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d7db1de8-9b9d-4b94-b724-287db3b46f54 · outbound

This paper cites an unresolved cited work.

Simple smooth modules over the Lie algebras of polynomial vector fields Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:07:17.370429Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.788228Z digest=sha256:d78c7d4d592a6748f34db47830c11f2c58a850bdd559a2f60754a6bb36d369a4

Observation 95b3e118-b777-4ebe-aa92-48ac7db5bfa8 · outbound

This paper cites an unresolved cited work.

Simple smooth modules over the Lie algebras of polynomial vector fields Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:07:17.354520Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.795022Z digest=sha256:8eaa6d8e6e79ba12ea7080f2ad42111176d07c8703653d1dd5e4edf2ad30f968

Observation 8770811a-c9d4-4469-9c5a-f1e40b6f7665 · outbound

This paper cites Gao, Simple restricted modules for the Heisenberg-Virasoro algebra , J.

Simple smooth modules over the Lie algebras of polynomial vector fields Gao, Simple restricted modules for the Heisenberg-Virasoro algebra , J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:07:17.338124Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.801016Z digest=sha256:c5589288a45fb28da43885ac9eb82333ed2df6e7ea2fa9932033e5a2f801d089

Observation 00edc917-3434-47a3-8953-36247a9a290c · outbound

This paper cites an unresolved cited work.

Simple smooth modules over the Lie algebras of polynomial vector fields Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:07:17.321797Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.806423Z digest=sha256:2241457e806403e9585549e3e1ae1c5362deac6bef552dd3db9b7236e973dab9

Observation baca7c54-ccb3-408d-973a-d1d99beef4aa · outbound

This paper cites Grantcharov, V.

Simple smooth modules over the Lie algebras of polynomial vector fields Grantcharov, V

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:07:17.306034Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.812410Z digest=sha256:86ae09af02f75ec72ff21f40e8d714634a3962e6c73589ae94f3b9fed4673716

Observation 5861f269-faec-4668-86ab-fde0fe1f8d27 · outbound

This paper cites an unresolved cited work.

Simple smooth modules over the Lie algebras of polynomial vector fields Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:07:17.289920Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.817740Z digest=sha256:f12a2253640f8596602fb4c7ad5e9f826eba6a009fe5959f423f8e902308ee09

Observation ce61d802-0e15-4765-9754-284c958b9501 · outbound

This paper cites Kazhdan and G.

Simple smooth modules over the Lie algebras of polynomial vector fields Kazhdan and G

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:07:17.273939Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.823814Z digest=sha256:ed243bf25c1e4ae51dbbb02acc9fbaa233a429ac2cd776e868b5976a26644125

Observation 2fa33a14-bda1-45e4-a77f-4941aa174006 · outbound

This paper cites Kazhdan and G.

Simple smooth modules over the Lie algebras of polynomial vector fields Kazhdan and G

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:07:17.257324Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.829443Z digest=sha256:84a153023c4e8a9dfbe389c0049546d6acbe85c3027cd57b5cdea5806dc4c5a7

Observation 7dbaeda4-f05b-4bfa-9d93-3ff94f832c1c · outbound

This paper cites Li, Local systems of vertex operators, vertex superalgebras and modules.

Simple smooth modules over the Lie algebras of polynomial vector fields Li, Local systems of vertex operators, vertex superalgebras and modules

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:07:17.241182Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.834397Z digest=sha256:439777b182143b9954901def9c53b768e313b528ae9698abc810680ac2d1b1cf

Observation cc0656b3-ffe2-4105-bb45-d2b120566c5e · outbound

This paper cites an unresolved cited work.

Simple smooth modules over the Lie algebras of polynomial vector fields Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:07:17.225563Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.839511Z digest=sha256:d720f5fef94840ecf06d771136ec82831a9d6595c66a6b93abc18f027a7ed994

Observation 3b5a00bc-1bf2-4420-840e-e7d541d39792 · outbound

This paper cites an unresolved cited work.

Simple smooth modules over the Lie algebras of polynomial vector fields Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:07:17.210569Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.843797Z digest=sha256:3edfac6353cafa15d7ba3904067121abf532d8ffb5a71254b332c46bf2473c1c

Observation 09b3f5b2-8347-4e83-af88-2fd9dd9d0ddb · outbound

This paper cites an unresolved cited work.

Simple smooth modules over the Lie algebras of polynomial vector fields Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:07:17.195991Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.848807Z digest=sha256:4ae629203e364b24e553cf5e0f5438b3e7246317c33a02e678bc14056c061905

Observation c6cc0afc-ca11-4cfc-b6cd-b3fbf5269210 · outbound

This paper cites an unresolved cited work.

Simple smooth modules over the Lie algebras of polynomial vector fields Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:07:17.180882Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.853507Z digest=sha256:1dff22384d4c3215e5ca84a740abfdce7acb5c4472cd2d1ee47b6ac48e43d2cb

Observation 63d81dec-56d8-4833-bb1c-54b913c1dc30 · outbound

This paper cites an unresolved cited work.

Simple smooth modules over the Lie algebras of polynomial vector fields Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:07:17.164182Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.858432Z digest=sha256:e4ab073c12645744437577cb2630681800e07e1094be24dace48f39ba88969ac

Observation 9a41d686-291d-4397-8cdc-58e1c3a67497 · outbound

This paper cites Mathieu, Classification of Harish-Chandra modules over the Virasoro algebras , Invent.

Simple smooth modules over the Lie algebras of polynomial vector fields Mathieu, Classification of Harish-Chandra modules over the Virasoro algebras , Invent

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:07:17.147915Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.863278Z digest=sha256:ba1a4444962fcae26dadecb984f12c7d84d49aeb7c9f3e29072a0fd40bec13cc

Observation bf494abc-539e-46af-8b4a-8d0b2ac00be0 · outbound

This paper cites an unresolved cited work.

Simple smooth modules over the Lie algebras of polynomial vector fields Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:07:17.130751Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.868226Z digest=sha256:31b35e8e34debf0b4a89f4876adbcd173f8f912415f1da1ff861618d763af9d5

Observation 507a3add-2bf2-4ed2-a8b9-2a2537934288 · outbound

This paper cites Mazorchuk, K.

Simple smooth modules over the Lie algebras of polynomial vector fields Mazorchuk, K

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:07:17.113940Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.873312Z digest=sha256:643c08cccb46fd14f60ce943c9bffab24e35766be8c649e0e948648009fb99ee

Observation 215cb3c7-876b-4182-9c5c-e3452df39889 · outbound

This paper cites Penkov, V.

Simple smooth modules over the Lie algebras of polynomial vector fields Penkov, V

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:07:17.097422Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.878191Z digest=sha256:ae44f6a7d0b5a7498a35332d27cb59ea7bc1c59bf859610c68d5245c7f3e1502

Observation abf1e3db-7091-443b-aaa2-7e4b55aef1c2 · outbound

This paper cites Rudakov, Irreducible representations of infinite-dimensional Lie algebras of Cartan type , Izv.

Simple smooth modules over the Lie algebras of polynomial vector fields Rudakov, Irreducible representations of infinite-dimensional Lie algebras of Cartan type , Izv

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:07:17.080795Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.883283Z digest=sha256:a99ca7b0db1771c983debd334dbdc44310be40e2f2d42daee5f9af566498bc3f

Observation 2e2c6c22-92dc-4fe3-9777-c6dafdc1fc92 · outbound

This paper cites Singer, S.

Simple smooth modules over the Lie algebras of polynomial vector fields Singer, S

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:07:17.062571Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.888150Z digest=sha256:230617ca49a90e23bc4ddaa70dd1a083b9b71590fe7e3b4fb82e67536b67c84f

Observation c68dc339-0e7b-41f5-a24a-7fb198774e7f · outbound

This paper cites an unresolved cited work.

Simple smooth modules over the Lie algebras of polynomial vector fields Unresolved cited work

Reference 21

Resolution
verified exact
doi, observed 2026-08-15T19:07:16.958850Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.893524Z digest=sha256:8fea4fda01417fc79855e618bbb38d3bdaf403f6cf9c18838560cca6ec3d500c

Observation 91ee1e00-df7b-4de1-bad3-1df6eaf7a1c2 · outbound

This paper cites an unresolved cited work.

Simple smooth modules over the Lie algebras of polynomial vector fields Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:07:17.045062Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.898512Z digest=sha256:31dd4ead986130b459a38e40f3c501aa3f9019e0dddde5ffd0f9f278a6851d96

Observation b02d238c-f9b2-4bf6-93f9-13e2a9619905 · outbound

This paper cites an unresolved cited work.

Simple smooth modules over the Lie algebras of polynomial vector fields Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:07:17.026376Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.904321Z digest=sha256:6079e2511ab101fdba6f6867a783878e5316bec8f9ece2525448d3e47d8a3176

Observation 88092492-cd2e-4596-83bc-ec7bfb61cd1a · outbound

This paper cites an unresolved cited work.

Simple smooth modules over the Lie algebras of polynomial vector fields Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:07:17.010076Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.909374Z digest=sha256:ac51d3a9fe0169ce5c90e405868b3a28d7ef509b80bbfbe7ccc23d72061d9e99

Observation a923cd36-d47f-4fbd-abb6-85bd0f8527f6 · outbound

This paper cites Yakimov, Categories of modules over an affine Kac-Moody algebra and finiteness of the Kazhdan-Lusztig tensor product, J.

Simple smooth modules over the Lie algebras of polynomial vector fields Yakimov, Categories of modules over an affine Kac-Moody algebra and finiteness of the Kazhdan-Lusztig tensor product, J

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:07:16.993291Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.915324Z digest=sha256:48aec1cff471c6d971dad29986dcd587041feed26d73cc8f1b0a56bea4749a54

Observation 706b229a-ff55-4fdc-b42f-33e392a2da8b · outbound

This paper cites an unresolved cited work.

Simple smooth modules over the Lie algebras of polynomial vector fields Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:07:16.976636Z

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.

source=arxiv_source observed=2026-08-15T19:07:16.919814Z digest=sha256:5d8563696a4033c3e498b398e0bd962cd481a30ada53813eef23a38995b99bcb

Pith citing papers

No inbound Pith citation observations are available.