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Paper Citation Record · LEDGER

Explicit expressions for Virasoro singular vectors

As of 16 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 2 inbound Pith citation observations for arXiv:2412.07505.

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

pith.paper-citation-record.v1
2412.07505 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T18:53:08.215836Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:31:49.208313Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T12:31:50.983067Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 758b9bf0-727c-485c-80d0-a5fb0ade0674 · outbound

This paper cites Feigin and D.

Explicit expressions for Virasoro singular vectors Feigin and D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:53:08.649775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 5d5356a4-2d70-4af8-94da-75b6361aaeaf · outbound

This paper cites Belavin, A.

Explicit expressions for Virasoro singular vectors Belavin, A

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-11T18:53:08.113616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:53:08.113616Z digest=sha256:99c6cbb920934a936c65e2652eb9756b1c1b8e39fe934c0dc7bd9c13f47c3ca5

Observation 4b3bc349-a140-46d4-a3a7-8d9fa4cdb5f3 · outbound

This paper cites an unresolved cited work.

Explicit expressions for Virasoro singular vectors Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:53:08.600443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T18:53:08.121703Z digest=sha256:256b2de63e66c8cc5a7df787c018641dd8e317d52c69cf5e48b5a028234d1605

Observation f9a17a68-3b0b-4efe-b0f8-76a8a4163c86 · outbound

This paper cites Fortin, L.

Explicit expressions for Virasoro singular vectors Fortin, L

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:53:08.578739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T18:53:08.128907Z digest=sha256:df94442a21d60afb921702b9404fdea42f78b8279a85cb0df97bcea6d0d1a820

Observation b0104c1f-d569-4cbb-b40e-baba7e14c623 · outbound

This paper cites Benoit and Y.

Explicit expressions for Virasoro singular vectors Benoit and Y

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:53:08.557610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 666ca51c-9135-48f8-82ae-2e5c28bfd8d3 · outbound

This paper cites Bauer, P.

Explicit expressions for Virasoro singular vectors Bauer, P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:53:08.537449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T18:53:08.141002Z digest=sha256:4cbf6b6624cb12b4fb8908093e100a3b071eef049027baafcef7a3c193169dfb

Observation 7b1fa16d-fef1-497e-8b9e-09f773e25938 · outbound

This paper cites Bauer, P.

Explicit expressions for Virasoro singular vectors Bauer, P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:53:08.517704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T18:53:08.148657Z digest=sha256:8f726a1db7b1320db483dbe2b6e769b9c088ac370068bdccad4065d850a7a580

Observation d2ce09cc-b8a6-45bc-a107-48517dcadfa7 · outbound

This paper cites Kent, Singular vectors of the Virasoro algebra , Physics Letters B 273 (1991) 56–62.

Explicit expressions for Virasoro singular vectors Kent, Singular vectors of the Virasoro algebra , Physics Letters B 273 (1991) 56–62

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:53:08.490435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T18:53:08.154350Z digest=sha256:43c104e2404ed89a750bd313967d9cbe365b051ca408ffb61fb1df3710fbb1fb

Observation 80cb4acc-0ec2-44f4-818c-ba290abc797d · outbound

This paper cites Ganchev and V.

Explicit expressions for Virasoro singular vectors Ganchev and V

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:53:08.468635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T18:53:08.159857Z digest=sha256:48a523bcdec9f42ff107c33274d8772cf094a586ef39b1c7cf7b673b4371b95d

Observation 1c6b2c55-6fb8-4d9e-bbad-ec01bf04db8c · outbound

This paper cites Ganchev and V.

Explicit expressions for Virasoro singular vectors Ganchev and V

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:53:08.450438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T18:53:08.165687Z digest=sha256:5c9712c116164fd0332b671d28ab0c927745bea56b455b8f0f1e9b1fc5bc731a

Observation cb9abbea-80de-4aa0-92de-22cbe7c7f3f7 · outbound

This paper cites From Jack polynomials to minimal model spectra.

Explicit expressions for Virasoro singular vectors From Jack polynomials to minimal model spectra

Reference 11

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unresolved
no resolver link, observed 2026-08-11T18:53:08.170946Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:53:08.170946Z digest=sha256:d5e9c979435e661670c0ba947640ec3e8ae11ff0d07fb7328eec0f60ff907892

Observation 54866ba3-8405-4bf0-bfdd-25c07a07d319 · outbound

This paper cites Mimachi and Y.

Explicit expressions for Virasoro singular vectors Mimachi and Y

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:53:08.429691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T18:53:08.178273Z digest=sha256:f486e5698023d3c4b92c1ccc803f92b1428fb895dd70e11067eebda0b5ce3f69

Observation a4337e64-2e74-41c7-937c-15955f98ad1b · outbound

This paper cites Sakamoto, Explicit formula for singular vectors of the Virasoro algebra with central charge less than 1 , Chaos, Solitons and Fractals 25 (2005) 147–151.

Explicit expressions for Virasoro singular vectors Sakamoto, Explicit formula for singular vectors of the Virasoro algebra with central charge less than 1 , Chaos, Solitons and Fractals 25 (2005) 147–151

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:53:08.410551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T18:53:08.184615Z digest=sha256:c3406c2e110787a5bf121b368da37c0c43eb4317213120cb50ace76e8bf10d9a

Observation b722588a-05f7-47a7-a09b-521ff3745cd2 · outbound

This paper cites an unresolved cited work.

Explicit expressions for Virasoro singular vectors Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:53:08.389407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 1728eade-2002-484b-bb45-d240f0ae4477 · outbound

This paper cites an unresolved cited work.

Explicit expressions for Virasoro singular vectors Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:53:08.369547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T18:53:08.195682Z digest=sha256:5eaa56e0fd5f967c4fbfdcabcfeaa82984d24b210f568871f21a44de3fe9b870

Observation f2bd5af3-8218-424d-9325-4d77a2ac0d06 · outbound

This paper cites Null vectors of the W_3 algebra.

Explicit expressions for Virasoro singular vectors Null vectors of the W_3 algebra

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-11T18:53:08.276409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T18:53:08.200180Z digest=sha256:aae87e49097b0c3bfbd9beb4d6f87b5e46fa22454230fa0672994a441bcea4d1

Observation a3c89cb5-4332-446b-bad3-6a5069fbee80 · outbound

This paper cites an unresolved cited work.

Explicit expressions for Virasoro singular vectors Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:53:08.345650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T18:53:08.207513Z digest=sha256:7fe56c59e3d7c457ccd9163438033aee54e86ffea39eccec3c266958c7ce068a

Observation f46e8203-60ae-4d0e-9214-5a729842d991 · outbound

This paper cites Headrick, Virasoro.nb, a Mathematica package for the Virasoro algebra, https://sites.google.com/view/matthew-headrick/mathematica,.

Explicit expressions for Virasoro singular vectors Headrick, Virasoro.nb, a Mathematica package for the Virasoro algebra, https://sites.google.com/view/matthew-headrick/mathematica,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:53:08.323075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T18:53:08.215836Z digest=sha256:d5385132cc0dc9bdbbec97b9110ecfa7e380f915f7cdc667aef4f7ed85bfd27f

Pith citing papers

Observation cbed1c5a-6a11-44d3-9a16-d589d7b22230 · inbound

Exactly solvable conformal field theories cites this paper.

Exactly solvable conformal field theories Explicit expressions for Virasoro singular vectors

Reference 16

Resolution
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local_arxiv, observed 2026-08-12T12:31:50.990227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T12:31:49.208313Z digest=sha256:7beaa417c139b36f2b25298d251270a4398748aad168170b869c66797904a740

Observation e601109d-a91a-4ada-8068-5c3f946be084 · inbound

Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form cites this paper.

Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form Explicit expressions for Virasoro singular vectors

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-04T18:52:23.434205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:52:23.434205Z digest=sha256:c60ab29644ad39ca13d15b854aaa3187a580140d2d1808ef9baa41c3e47daa7b