Pith. sign in

Paper Citation Record · LEDGER

Explicit expressions for Virasoro singular vectors

As of 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.106929Z digest=sha256:1900afc2d61eb6d3b1c3ea64719901dcfd484fd9e6213d5e304bccec650db9b4

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.121703Z digest=sha256:de1f710a2d0403173f277f43eb630d0e50d8d3a41224b7037a310f38019a3338

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.128907Z digest=sha256:ad7b3335b5b5b3f123435d141a171153c8dfb734d2fd34f0770c0e21a6bd9a21

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.134955Z digest=sha256:7d914a36bf7f44d0717e6cf65b4616f1527dcf50780938f033c54e475c8a830e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.141002Z digest=sha256:6621dc1a65c4ffd0465832ff36451c3e5ffe70a3fb7215e65f1d3a73f89ee089

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.148657Z digest=sha256:abf9f6c2fd0acec119f695d0f0aaec406382d4fd753a9f687d997f42b5679494

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.154350Z digest=sha256:a3f69456e634646368f7c5480abceb96688a985b4dc2388bd07adde8c55288b6

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.159857Z digest=sha256:b3bb838d2e3db29668c0be84ae04caa25bc58835dfd17d4afdc5e58d399aa11d

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.165687Z digest=sha256:5e8a0b48b14554bffd189ab4d3ed923ee758b7d36498e09522feb86783ae2728

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

Resolution
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:f6571d1bc9c5b9aef2cce49298f7605dae682278133d87cbff2c0d2d3282fcc2

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.178273Z digest=sha256:152a8b0d447b95ca317d3dd72489bc5923846eb68cd05222635ce5ec0b13458b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.184615Z digest=sha256:82e4df65a086f4b9bed9722a39ccf8c597e65ee774efd4c52b9e9070dcee584e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.190591Z digest=sha256:90e057c85b8a66ca959ee02687183a38b1809055c881b0befb0977f6748024a7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.195682Z digest=sha256:3be32dbc944b74d1e0ec36781fa528b8f7ba9bc41a6366440f94ae69461fba0f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.200180Z digest=sha256:c11b7b60a319425843d37d9f3176346904666cafa1aac712583386028d9a4477

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.207513Z digest=sha256:00f208d5acc5bbe58150223d22dbc6b64dc8c326bbc5d9dcfd8110e977d05aee

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T18:53:08.215836Z digest=sha256:a468184e02057deefa314b23731e1e8cba7a221e6e261942a10ef3ccfbed45f8

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
verified exact
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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T12:31:49.208313Z digest=sha256:0bf47d4e782121cb0effa7be7f40dbeb1f264bb32901d065e5bf0e868de64bda

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