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 2026-08-12T06:34:41.77262+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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:20.188840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.412521Z digest=sha256:9a0db355fef5d686e333344f8380249673878ccc89b80784fa56e3157eed3b01

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
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:20.174729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.417072Z digest=sha256:afb063580b90dd77e55117708acb36f232a6cf1a373456cf8c84a1b1205f25e2

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

This paper cites Borcherds.

Modularity of Vertex Operator Algebra Correlators with Zero Modes Borcherds

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:20.161425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.421157Z digest=sha256:72d5f44064155429a632ef0a106e6933a37f4bb9a2be3ce32099605d9c962f0c

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:20.149190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.425171Z digest=sha256:ded71a4173ef482db33ea7b8c2851b693970d24aaff31d4391489706fbaca4a9

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:19.935285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.431474Z digest=sha256:1396ecffb50cb755370a3ee962b78dfc0783b8035dba48544c1167dd72a3f626

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
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:19.909566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.435735Z digest=sha256:caca50fc4666c2037800aeec5f87930ab0b24f0c8d309ee07a09cb9d932d433c

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
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:19.881089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.440156Z digest=sha256:6eb721155c2a9e493dc0253c2bc98aff4963b152f431b875e21b6da57c62de70

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:19.853186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.444104Z digest=sha256:ba6ef0a484176f7c563978e270840bdb6934da0300f69a37ea13d9cb1b17cb42

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

Resolution
unresolved
raw_fallback, observed 2026-08-12T22:02:19.837586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.447994Z digest=sha256:8a7e71c63bf0337ffc97fcb530a019b15a1a00c177f28034ecc70080679f20d9

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

Resolution
unresolved
raw_fallback, observed 2026-08-12T22:02:19.824827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.451225Z digest=sha256:41b7672e33d4d88457b75473abe6881aa253ba8e74f1efcb38217a1979e82d4d

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:19.812506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.454658Z digest=sha256:2d7e4a3e7a129dc2b26be2ed27f019cbe7e7569f355e83c9416d7bb5d2a7fd58

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
verified fuzzy
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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.457682Z digest=sha256:89702625adfc485e1d7d540d8ab4d4302e9347b1bd9aa268607cb57988800117

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
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:19.783945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.462077Z digest=sha256:ccff4ec6c6a2a665a39e485ab61b655096ada91baef725093ca2f39bc80dbc30

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
verified fuzzy
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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.466666Z digest=sha256:7984c5f8728c120b0a11eb679a8fbef31ab1b43d87dd0b82e3e9093c7e921571

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.471170Z digest=sha256:6f780a6276c53bd45450ddd3a742eb879a5f11d5ede5398f961d3780d19c6236

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
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:19.748756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.475284Z digest=sha256:3b4a893f53358e65721b77c7271cd7b9a78262fbd35932e1a1e49b8daaff20e1

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
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:19.733356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.479412Z digest=sha256:0a054b094be0edfd1f6c8cca497d8bf8680e0932f76e897b9d7d70c7cfde6486

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:19.717228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.483521Z digest=sha256:59a1b50bb9b558f4a4e642aeef54b15d2c3e1f4c4718358a7784bbe0448446a1

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
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:19.696252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.487875Z digest=sha256:8e2e1b9409f1a43850a062c81f7f043362e7ec83f3184965e101ff2d6f3f5386

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
verified fuzzy
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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.492144Z digest=sha256:a5bcd3cd803c18f608317c975e8541ad47807a289822a79cf560951b939251f0

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
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:19.663093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.497288Z digest=sha256:f84528a5a880d4441b48591331b7c762ace919a065bf4114b0efcc4792fcfc9c

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
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:19.647680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.501915Z digest=sha256:073b3720f17ccd389c1424ba4d19d01d3a147ed7a826459f74be4c78532c14d6

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.506170Z digest=sha256:90d123ad0b88b4637b371c5fce4c65b72ea41daaf4ee1c01f3d4cead0d362f25

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:19.620827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.510343Z digest=sha256:2af045388042ed4b2f3d37594c263f3b414655d8f828bec24d723a3af7025af5

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

Resolution
verified fuzzy
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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.516089Z digest=sha256:c6d7569cbb026d1b9f41686b9290519c988bab0bd8e37823271316eca463807b

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

Resolution
verified fuzzy
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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.520741Z digest=sha256:60d73d1ccb8ebd8849393e8e5993c36a2454193bd631b67fb0d7185c9a9a3a12

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

Resolution
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
verified fuzzy
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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T22:02:19.528401Z digest=sha256:2201c34a0644a33974b6922629f147e436fc2f0fd3ba596ffa4b6f591a2f098b

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

Resolution
unresolved
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

Resolution
verified exact
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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-07-13T16:27:09.345161Z digest=sha256:0018beb7a497d227cbb3bc7c5453057cbe7c0a4c3c96f05e7c185921fb16c925