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Paper Citation Record · LEDGER

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra

As of 18 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2506.10830.

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

pith.paper-citation-record.v1
2506.10830 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:36:57.797058Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

24 of 24 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7e637e66-a261-4733-865e-51c9bc64bd85 · outbound

This paper cites Arbarello, C.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Arbarello, C

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:58.049923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.361805Z digest=sha256:a76e7e049c8dbd89768ad5bd91aa3c7224269c2d43d56a15953394c38fb370b5

Observation df9d2433-26f5-4562-af00-ea45b53c2f45 · outbound

This paper cites an unresolved cited work.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:58.040664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.405778Z digest=sha256:39857482f60968163d9bc7785f4e23535fa9eec4583bd4aa099b85ac3bf96cbd

Observation 6eb3eda4-ac96-4281-91aa-63eb25778793 · outbound

This paper cites Chari and A.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Chari and A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:58.031069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.493898Z digest=sha256:9df87635e752089d0f036cbfbad596d3f302d4bc1939ea40cf1895ef3970a8ed

Observation 8ede7286-3ba2-4b92-856a-33537fae6a1c · outbound

This paper cites an unresolved cited work.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:58.022087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.529106Z digest=sha256:998cde0acb37e4fb2c34135cd5cc670e9e5ad8486a7b010162312f20be24d3c9

Observation 2b772f06-c94d-4af4-ae2b-963e4fbad53d · outbound

This paper cites Chen and X.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Chen and X

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:58.012218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.614287Z digest=sha256:f95a9e9578d1ff1966646a38b4918923f5332792444376ad68159984daf08f98

Observation 9643a03d-fa79-47d8-b433-342b2f8363d2 · outbound

This paper cites Chen and X.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Chen and X

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:58.002406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.660497Z digest=sha256:595b2e4fec98ee676ae4149c23fced88f874bda37cbdaa66f02211f2f19a383a

Observation 772997f0-cea1-4eee-ad6f-d46003b5d494 · outbound

This paper cites Chen and Y.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Chen and Y

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:57.993220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.724082Z digest=sha256:a0ffaf3d27e50f47f008c776f9a818258bca5740fd7153383ee98fe276722c09

Observation 050eb117-8db9-4a98-ba00-c4ff1c7de4d0 · outbound

This paper cites an unresolved cited work.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:57.984427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.745863Z digest=sha256:9e2f2c9ae0364fc63e708cdc90ff0dae320cf481c7177836606df24afd941b20

Observation eccfa0dd-ba34-47d6-9269-61018032780d · outbound

This paper cites an unresolved cited work.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:57.974806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.748874Z digest=sha256:ec405d0ae3e3c1873a15b443cb4df69840397dffc0aa7738809aac6f42b16b25

Observation eb7ea630-17a8-4053-b39f-ba4de206577a · outbound

This paper cites Gao and Y.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Gao and Y

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:57.965053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.751785Z digest=sha256:6ed3b34094645e75280cb8506c3fe8582b6be09db3a7c845e150507eb39afeda

Observation 7cdfd180-b4b3-4be0-8e6d-ec27e3a1d510 · outbound

This paper cites an unresolved cited work.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:57.955387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.754873Z digest=sha256:5bf50e9db8b78276d8fdbe454f7d2727f53f1c7cc26e4104181f3b525fec0bb0

Observation 7e9ac6ef-2b34-4c3d-9f8a-a882055a4865 · outbound

This paper cites an unresolved cited work.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:57.945471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.758420Z digest=sha256:8afbdc21b3af2f3f80fec49f4eb6a147b484d97460032858349ab84668e616d1

Observation 55ecb694-21e9-4246-a4fe-d831b859f6dd · outbound

This paper cites Liu and Y.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Liu and Y

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:57.935967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.761411Z digest=sha256:6b764593705a38ea5b45c9655ab1640f1c1e784d944de101b4c60c505dc18914

Observation c4df6d70-4a31-42ae-be71-a3ffdfac9893 · outbound

This paper cites an unresolved cited work.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:57.926704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.764593Z digest=sha256:94ce1f914eb1f2b243610f87227c0e1672029d2347dbd65c6f22a7ef76ab8573

Observation e811a325-873c-4d67-9a9a-f445a91312bd · outbound

This paper cites Lü and K.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Lü and K

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:57.917166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.767706Z digest=sha256:d826602844b885615902d6e1f9779c259b0b0851fa29e99c2abc6a03093cc19b

Observation 00cf1faf-590f-46e1-9295-bd55bf6fc400 · outbound

This paper cites Mazorchuk, Simple modules for untwisted affine Lie algebras induced from nilpotent loop subalgebras, Indag.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Mazorchuk, Simple modules for untwisted affine Lie algebras induced from nilpotent loop subalgebras, Indag

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:57.907791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.770831Z digest=sha256:e096be4ef755f4c416437200bfb8cff81975834c31affd6de792f7a1f9a596b2

Observation 2678e8f8-3672-4814-bdad-3807f3a86373 · outbound

This paper cites Mazorchuk and E.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Mazorchuk and E

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:57.898391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.773871Z digest=sha256:441fa8e5d76cb1601e1cc95e20ed6b765b62b18e718b2eed5cf1b0707e5dc612

Observation 326bc21f-e41e-4593-90a0-b12ba1048978 · outbound

This paper cites Mazorchuk and K.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Mazorchuk and K

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:57.889207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.776970Z digest=sha256:23177709e8e5fd6b7a7e38a0f4662edeac4283854caa6289d6daa946d82fbe7a

Observation e60e88aa-6c48-4d50-be8a-e77b8c0d5c69 · outbound

This paper cites an unresolved cited work.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:57.878241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.781953Z digest=sha256:bb4b33f6e656a78f9c183c8f3272dcffd89b979b348ff5a485f763c6c6ea6384

Observation 17a07d8b-de8c-4f05-aa2b-2dc647198a1f · outbound

This paper cites Nguyen, Y.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Nguyen, Y

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:57.868029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.784941Z digest=sha256:93c928dbd583ec38fd34279864f70e67ce632a996fe2c12a8f8ebaefac63ea5a

Observation d0e81b09-f390-4aea-85fc-1cfa84c36f92 · outbound

This paper cites Ondrus and E.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Ondrus and E

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:57.858268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.787790Z digest=sha256:ee1a86d288d88336c6d2c7735090146e5fb7bfc3dbe8a58ccb25c9b4d7336698

Observation 66902db8-33c7-4333-a17a-e5a4b9804f2a · outbound

This paper cites Ondrus, Modules induced from large subalgebras of the Lie algebra of differential operators of degree at most one, J.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Ondrus, Modules induced from large subalgebras of the Lie algebra of differential operators of degree at most one, J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:57.847879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.790948Z digest=sha256:4411b36a36f81d9ac0200f98903133799041a184d7d890477d3c23f6cc6cfc99

Observation 6c183a24-af29-4e58-9fd3-d7f52b4f0077 · outbound

This paper cites an unresolved cited work.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:57.837435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.794140Z digest=sha256:5ea2388657e33830e1f8d77fac070a027807bd55ebf2d3ef01b42ae1bb961f3b

Observation b75a54a1-a61b-4bec-87f2-305270724bad · outbound

This paper cites an unresolved cited work.

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra Unresolved cited work

Reference 24

Resolution
verified exact
doi, observed 2026-08-07T04:36:57.826951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:36:57.797058Z digest=sha256:e9d40b04eb4de72e4b8da4fefa1b3b47dfb524189e273f46e67715d855b881d4

Pith citing papers

No inbound Pith citation observations are available.