Pith. sign in

Paper Citation Record · LEDGER

Modularity of Vertex Operator Algebra Correlators with Zero Modes

As of 13 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 2 inbound Pith citation observations for arXiv:2411.08008.

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

pith.paper-citation-record.v1
2411.08008 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T22:02:19.528401Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T17:29:48.889989Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy25
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation d6ea317c-40a1-48ac-b5a8-55e0b57cb40f · outbound

This paper cites Combinatorics of permutations.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Combinatorics of permutations

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.412521Z digest=sha256:ad65f3dcf4897843668fc6de47eda5716be7b959dc223113e0749ed0fdbe48f9

Observation 3bbbb6b0-4db5-433b-984a-500cb80a7f3b · outbound

This paper cites Zhu reduction for J acobi n -point functions and applications.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Zhu reduction for J acobi n -point functions and applications

Reference 2

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.417072Z digest=sha256:02ff67ed4f964b2a2c8e7f1beb04e6e2c79b27c259b0f41e873835eb0b722859

Observation 19ee3f8c-8f10-46e9-925c-9336d5bf1c67 · outbound

This paper cites Borcherds.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Borcherds

Reference 3

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source=arxiv_source observed=2026-08-12T22:02:19.421157Z digest=sha256:103f6f0e409b123d401891659b25726b6a45d84574529de04bcb57b04fcaa2c8

Observation 82c56fc3-54ad-411d-af70-3e526c4c10c5 · outbound

This paper cites Eternal Higher Spin Black Holes: a Thermofield Interpretation.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Eternal Higher Spin Black Holes: a Thermofield Interpretation

Reference 4

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.425171Z digest=sha256:2dad31092a7677fbcbdff98b0202ed0665dd19cd7759c6ad8367a65efb81f561

Observation f1bb8dd8-8978-48cd-ba86-62a2d6dcfb7a · outbound

This paper cites Modular Properties of Generalised Gibbs Ensembles.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Modular Properties of Generalised Gibbs Ensembles

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.431474Z digest=sha256:d389897ab59040f344e048eee9935f88b1db6d2ad5f738ddbe4ee0f237372802

Observation 869b6d6c-b133-4210-b381-5327ad3571f8 · outbound

This paper cites Transformation laws for theta functions.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Transformation laws for theta functions

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.435735Z digest=sha256:8b208e0367361c86b35a4e79e1346f9cf50f1bb1548b0f13e43b8a3d22e90a77

Observation ee73ff10-03c1-47ff-97d1-96b7a135a88c · outbound

This paper cites Quasi-modular forms and trace functions associated to free boson and lattice vertex operator algebras.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Quasi-modular forms and trace functions associated to free boson and lattice vertex operator algebras

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.440156Z digest=sha256:9f760b2497aad7baac40b6e1942a0bda2082a8988532a70aa76db63f219247cc

Observation bc92bd5f-bf31-4f4d-b2b9-ddd83c72da56 · outbound

This paper cites Modular transform of free fermion generalised Gibbs ensembles and generalised power partitions.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Modular transform of free fermion generalised Gibbs ensembles and generalised power partitions

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.444104Z digest=sha256:978fed85c77f0cdc4ac6c70daf80efdceb17ab60d8f7117e1ba7e1e6cc934b41

Observation 33872884-7f67-4a52-9b5d-ebd131f60a57 · outbound

This paper cites an unresolved cited work.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Unresolved cited work

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.447994Z digest=sha256:e3c388c7e777b6e74c21342133e67a3ab9434c06f69db582ba2b7d21e591eae0

Observation aae703ec-7fa2-461f-be69-98a4faeab823 · outbound

This paper cites an unresolved cited work.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Unresolved cited work

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.451225Z digest=sha256:2c4eef11e30209472efbd29bb7da5ccefcdf986eeab6cbd2ddf1266664949e7d

Observation d0f3d277-8e95-4db0-92e7-2af94e2f03e2 · outbound

This paper cites The theory of J acobi forms , volume 55 of Progress in Mathematics.

Modularity of Vertex Operator Algebra Correlators with Zero Modes The theory of J acobi forms , volume 55 of Progress in Mathematics

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.454658Z digest=sha256:cdfca8c81e2b8b3fff2da4d13db0342a8b46023d00c3b7ab740dc1f33ee2c514

Observation 9ad28a3d-99ae-4bb5-938d-10f5cab7290f · outbound

This paper cites Frenkel, Yi-Zhi Huang, and James Lepowsky.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Frenkel, Yi-Zhi Huang, and James Lepowsky

Reference 12

Resolution
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raw_fallback, observed 2026-08-12T22:02:19.798273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.457682Z digest=sha256:c9e26e5b45a74d0f707cde65e6f1956feb28deecf6f68a3f72cc0981b9d01cee

Observation 80253491-1f7e-4195-a6cb-fa688d9b4256 · outbound

This paper cites Vertex operator algebras and the M onster , volume 134 of Pure and Applied Mathematics.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Vertex operator algebras and the M onster , volume 134 of Pure and Applied Mathematics

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.462077Z digest=sha256:ab127b944db59365587339e1720c2e51be232dbec5e549422fa302582f5f4f72

Observation c58a9a43-3d8e-4762-a667-1fe577593a34 · outbound

This paper cites Gaberdiel, Thomas Hartman, and Kewang Jin.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Gaberdiel, Thomas Hartman, and Kewang Jin

Reference 14

Resolution
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raw_fallback, observed 2026-08-12T22:02:19.772945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.466666Z digest=sha256:7b1399618f9fa3a7f89023538399495b45476d7325c891a8b8c0c9ce333b24fd

Observation 1174d9be-7ca3-4f85-90b2-2dfc1a6179e3 · outbound

This paper cites Gaberdiel, Kewang Jin, and Eric Perlmutter.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Gaberdiel, Kewang Jin, and Eric Perlmutter

Reference 15

Resolution
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raw_fallback, observed 2026-08-12T22:02:19.761190Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.471170Z digest=sha256:048e659031d45421966733932ed32acb160d701151fabf6cc0f0d83c2c9a8960

Observation 8ae877cb-8bfb-46f6-ae66-8d74028c7fcd · outbound

This paper cites Higher Spin Black Holes.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Higher Spin Black Holes

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.475284Z digest=sha256:4419148bd7503a01e10b9bc89939763ea93901961236f7e6967556398f5349df

Observation 29472397-52d4-457f-916d-133ed6479967 · outbound

This paper cites Iles and G\'erard M.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Iles and G\'erard M

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.479412Z digest=sha256:b4391ad862d75867603d7c44859dfe08b2a3cf1ea4641460b9bd7c1ae0cc103e

Observation 0dd02a2e-b99a-4809-9972-350d176f80a7 · outbound

This paper cites Vertex operator algebras and weak J acobi forms.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Vertex operator algebras and weak J acobi forms

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.483521Z digest=sha256:23ae739b7f071e027a04a8c36fa7fcfd99d2763e05ece03df6b8f0ea908af8e4

Observation 79ca3833-0f79-4410-bd19-bdc019d46752 · outbound

This paper cites Vertex Operator Algebras and Jacobi Forms.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Vertex Operator Algebras and Jacobi Forms

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.487875Z digest=sha256:6af135aa1afbf8ec299f9911a80cdda14fd6e2eef2fa00435d5d2d39df80a470

Observation ceb94271-9d3b-4aec-ac2e-ac18e1e30457 · outbound

This paper cites A J acobi theta series and its transformation laws.

Modularity of Vertex Operator Algebra Correlators with Zero Modes A J acobi theta series and its transformation laws

Reference 20

Resolution
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raw_fallback, observed 2026-08-12T22:02:19.676464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.492144Z digest=sha256:377d7152ab39661b45b2b76b7a5bc34d31595fa1dc97f7051bcc8964d0092de0

Observation 6177e002-92dd-4ce7-8066-ee502c62cfd7 · outbound

This paper cites A generalized J acobi theta function and quasimodular forms.

Modularity of Vertex Operator Algebra Correlators with Zero Modes A generalized J acobi theta function and quasimodular forms

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.497288Z digest=sha256:b84edc9b11b651896e49b9ac14f1bb0effd2de25139f6c614b62b0a4cd70fec4

Observation c529a1aa-df36-4b44-8e69-541973b0a9d1 · outbound

This paper cites Elliptic functions , volume 112 of Graduate Texts in Mathematics.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Elliptic functions , volume 112 of Graduate Texts in Mathematics

Reference 22

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.501915Z digest=sha256:e75996408f15b0879bef5bb37dcb3dd419e344e51dd25321f7375438264f6027

Observation 5d1c49c0-c1f6-4237-ab3a-2cd918660bc9 · outbound

This paper cites Elliptic genera, real algebraic varieties and quasi- J acobi forms.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Elliptic genera, real algebraic varieties and quasi- J acobi forms

Reference 23

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raw_fallback, observed 2026-08-12T22:02:19.634271Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.506170Z digest=sha256:0cab72cb11661e9761f632dc08b319775e3ac4c67d58685da0e615473597a8f8

Observation 405f5b2e-1438-48ad-92dc-6b5d31ffa4fa · outbound

This paper cites Lepowsky and H.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Lepowsky and H

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.510343Z digest=sha256:f585291d47c1520a24f92b904ee6189b588c21b1a45cd0a9c3e3ac3d512d47f3

Observation fbc3c6fe-4635-483e-b56b-7987388c5fb6 · outbound

This paper cites A modular invariance on the theta functions defined on vertex operator algebras.

Modularity of Vertex Operator Algebra Correlators with Zero Modes A modular invariance on the theta functions defined on vertex operator algebras

Reference 25

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raw_fallback, observed 2026-08-12T22:02:19.605096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.516089Z digest=sha256:7a0287a13457f28e39400ea94c814759dbc868ec69f0f786c37feef6b34f4d5a

Observation c9670c3c-5acf-46f3-87d7-f43320ffa5ee · outbound

This paper cites Quasimodular forms: an introduction.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Quasimodular forms: an introduction

Reference 26

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raw_fallback, observed 2026-08-12T22:02:19.591043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.520741Z digest=sha256:81169c6aeb8efac26db08bdb623acf138cb7d4c7884fc99eccf96560a2d654bc

Observation 9f407dfa-6f91-4920-b25e-04ee23a26ee3 · outbound

This paper cites an unresolved cited work.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Unresolved cited work

Reference 27

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unresolved
no resolver link, observed 2026-08-12T22:02:19.525336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T22:02:19.525336Z digest=sha256:2b401874557feaf334623f71d07d44bc0f34c2b77097876b12d1ecb4a63b0f45

Observation fdd7ada1-1cea-477e-9442-65ce31b1abcf · outbound

This paper cites Modular invariance of characters of vertex operator algebras.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Modular invariance of characters of vertex operator algebras

Reference 28

Resolution
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raw_fallback, observed 2026-08-12T22:02:19.568066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.528401Z digest=sha256:28e02df6a6ed9cf5e9e95bded97535404473fcc62bc50bd4920c40df000024a3

Pith citing papers

Observation 13413873-6b96-4ed0-9480-958a78f14156 · inbound

Modular Properties of $\mathcal{W}_3$ Generalised Gibbs Ensembles cites this paper.

Modular Properties of $\mathcal{W}_3$ Generalised Gibbs Ensembles Modularity of Vertex Operator Algebra Correlators with Zero Modes

Reference 40

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no resolver link, observed 2026-08-05T17:29:48.889989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:29:48.889989Z digest=sha256:2af8c5dfad9d09a1e10782fe46e5cbf3e4e795dffc247f9a8b85cf9f48e081dd

Observation 488d3ee9-059e-47c4-a4bb-9515bf6877a8 · inbound

Universal Modular Properties of Generalized Gibbs Ensembles and Chiral Deformations cites this paper.

Universal Modular Properties of Generalized Gibbs Ensembles and Chiral Deformations Modularity of Vertex Operator Algebra Correlators with Zero Modes

Reference 31

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local_arxiv, observed 2026-07-13T16:29:44.930713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-13T16:27:09.345161Z digest=sha256:36f94dad50130613048ab119df7f8fe6f3e8ad355fa93f3e8b7270b7e063f77e