Paper Citation Record · LEDGER

Vertex algebras, topological defects, and Moonshine

As of 13 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 4 inbound Pith citation observations for arXiv:2412.21141.

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

pith.paper-citation-record.v1
2412.21141 v2

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:09:47.168008Z

measured 52 of 52 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T14:29:55.755467Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T10:16:52.066327Z

Reference resolution

48 of 48 outbound references displayed

verified exact10
verified fuzzy7
unresolved31
parse uncertain0
malformed identifier0
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External citation measurements

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Outbound references

Observation 7d1fea4d-3616-48c1-9358-29350545146d · outbound

This paper cites Generalized Global Symmetries.

Vertex algebras, topological defects, and Moonshine Generalized Global Symmetries

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:46.962333Z

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Observation 4e17e480-9227-44a2-8c55-8b0f4c9c6032 · outbound

This paper cites Generalized Symmetries in Condensed Matter.

Vertex algebras, topological defects, and Moonshine Generalized Symmetries in Condensed Matter

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:46.966633Z

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Observation 653c3263-65ab-408b-b43b-8be289aaf819 · outbound

This paper cites Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond,.

Vertex algebras, topological defects, and Moonshine Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:09:47.956429Z

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Observation 2833486b-7b00-4fec-b88c-a6cb745d8243 · outbound

This paper cites ICTP Lectures on (Non-)Invertible Generalized Symmetries.

Vertex algebras, topological defects, and Moonshine ICTP Lectures on (Non-)Invertible Generalized Symmetries

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:46.980256Z

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Observation 7324ddc5-7442-4d3d-8314-39f5a6258c5a · outbound

This paper cites Introduction to Generalized Global Symmetries in QFT and Particle Physics.

Vertex algebras, topological defects, and Moonshine Introduction to Generalized Global Symmetries in QFT and Particle Physics

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:46.985035Z

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Observation bb77a5c4-7c46-4a9d-b153-780395c60171 · outbound

This paper cites Lectures on Generalized Symmetries.

Vertex algebras, topological defects, and Moonshine Lectures on Generalized Symmetries

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:46.989477Z

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Observation 99917d9a-b108-405b-93aa-659eaae6f21a · outbound

This paper cites What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries.

Vertex algebras, topological defects, and Moonshine What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:46.993601Z

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Observation 41146a33-e941-4453-9ffa-212da5989c17 · outbound

This paper cites Fusion Rules and Modular Transformations in 2D Conformal Field Theory,.

Vertex algebras, topological defects, and Moonshine Fusion Rules and Modular Transformations in 2D Conformal Field Theory,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:09:47.944250Z

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Observation 021be7ba-c93e-482c-b55a-d03779969b1e · outbound

This paper cites Generalised twisted partition functions.

Vertex algebras, topological defects, and Moonshine Generalised twisted partition functions

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.001731Z

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Observation 38a9a2c7-a200-469d-86b6-e5046da0d3ac · outbound

This paper cites Kramers-Wannier duality from conformal defects.

Vertex algebras, topological defects, and Moonshine Kramers-Wannier duality from conformal defects

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.006150Z

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Observation 6adb3d60-1f81-4272-a821-972c47e000e2 · outbound

This paper cites Duality and defects in rational conformal field theory.

Vertex algebras, topological defects, and Moonshine Duality and defects in rational conformal field theory

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.009998Z

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Observation 21f59dae-924e-446e-b61a-274dde4f0023 · outbound

This paper cites Defect lines, dualities, and generalised orbifolds.

Vertex algebras, topological defects, and Moonshine Defect lines, dualities, and generalised orbifolds

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.013871Z

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Observation 2a503f00-c926-4883-9a49-c6b01868cbd8 · outbound

This paper cites Topological Defect Lines and Renormalization Group Flows in Two Dimensions.

Vertex algebras, topological defects, and Moonshine Topological Defect Lines and Renormalization Group Flows in Two Dimensions

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.017838Z

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Observation 74e64a29-1434-47ef-af84-ed382ebbcbac · outbound

This paper cites On finite symmetries and their gauging in two dimensions.

Vertex algebras, topological defects, and Moonshine On finite symmetries and their gauging in two dimensions

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.022035Z

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Observation faa7b01c-01c7-4286-a926-6c967423d6ee · outbound

This paper cites Equivalence Relations on Vertex Operator Algebras, II: Witt Equivalence and Orbifolds.

Vertex algebras, topological defects, and Moonshine Equivalence Relations on Vertex Operator Algebras, II: Witt Equivalence and Orbifolds

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.026168Z

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Observation d81a4bae-9f57-4423-8c82-dd183c5b099d · outbound

This paper cites Monstrous moonshine,.

Vertex algebras, topological defects, and Moonshine Monstrous moonshine,

Reference 16

Resolution: verified exact; doi, observed 2026-08-10T23:09:47.263219Z

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

Observation c6e28fc6-6466-4b1b-a6bf-aebf5ce671c6 · outbound

This paper cites Duality Defect of the Monster CFT.

Vertex algebras, topological defects, and Moonshine Duality Defect of the Monster CFT

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.036669Z

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Observation f7ca255c-99cc-48cd-8958-f13b5f8e1b57 · outbound

This paper cites Modular invariance groups and defect McKay-Thompson series.

Vertex algebras, topological defects, and Moonshine Modular invariance groups and defect McKay-Thompson series

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.041197Z

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Observation b0b92e5e-91f1-4899-8668-9a15dddabc15 · outbound

This paper cites Tensor categories with fusion rules of self-duality for finite abelian groups,.

Vertex algebras, topological defects, and Moonshine Tensor categories with fusion rules of self-duality for finite abelian groups,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:09:47.932470Z

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.

Observation cf506931-bcd9-4ccc-8594-bd1e48d64ad1 · outbound

This paper cites Angius, S.

Vertex algebras, topological defects, and Moonshine Angius, S

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:09:47.921856Z

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

Observation d28cc08a-4647-401e-a18d-147fe1a483df · outbound

This paper cites TFT construction of RCFT correlators I: Partition functions.

Vertex algebras, topological defects, and Moonshine TFT construction of RCFT correlators I: Partition functions

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.055891Z

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Observation 721ea0d4-0bd5-44d9-ac14-b9eea65955d2 · outbound

This paper cites TFT construction of RCFT correlators II: Unoriented world sheets.

Vertex algebras, topological defects, and Moonshine TFT construction of RCFT correlators II: Unoriented world sheets

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.060291Z

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Observation 2f58db87-a2c5-41e0-bad3-d76358beeb89 · outbound

This paper cites TFT construction of RCFT correlators III: Simple currents.

Vertex algebras, topological defects, and Moonshine TFT construction of RCFT correlators III: Simple currents

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.064205Z

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Observation d7efbd1c-2ef4-4fe0-bdaa-a241f7b0ed0c · outbound

This paper cites TFT construction of RCFT correlators IV: Structure constants and correlation functions.

Vertex algebras, topological defects, and Moonshine TFT construction of RCFT correlators IV: Structure constants and correlation functions

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.068164Z

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Observation 3be5e7b1-1c74-4ae1-a5b6-755e2ecc6c4a · outbound

This paper cites Gauging non-invertible symmetries: topological interfaces and generalized orbifold groupoid in 2d QFT,.

Vertex algebras, topological defects, and Moonshine Gauging non-invertible symmetries: topological interfaces and generalized orbifold groupoid in 2d QFT,

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.075007Z

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Observation 69df0b4b-d667-413f-8dfb-2347bd1b1bd0 · outbound

This paper cites Remarks on Boundaries, Anomalies, and Noninvertible Symmetries.

Vertex algebras, topological defects, and Moonshine Remarks on Boundaries, Anomalies, and Noninvertible Symmetries

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.079870Z

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Observation c0a109ca-da22-4056-b766-301a9521d064 · outbound

This paper cites Bosonic Rational Conformal Field Theories in Small Genera, Chiral Fermionization, and Symmetry/Subalgebra Duality.

Vertex algebras, topological defects, and Moonshine Bosonic Rational Conformal Field Theories in Small Genera, Chiral Fermionization, and Symmetry/Subalgebra Duality

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.085167Z

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Observation f1435df1-80af-49e5-aa7a-3f3cd5bc8b8c · outbound

This paper cites Frenkel, J.

Vertex algebras, topological defects, and Moonshine Frenkel, J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:09:47.909987Z

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

Observation 3d039c45-c608-413a-906c-9a4bea653752 · outbound

This paper cites Monstrous moonshine and monstrous Lie superalgebras,.

Vertex algebras, topological defects, and Moonshine Monstrous moonshine and monstrous Lie superalgebras,

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.095147Z

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Observation daf82f0e-9e22-422a-b3ce-a91fd0e621a6 · outbound

This paper cites Generalized moonshine I: genus-zero functions,.

Vertex algebras, topological defects, and Moonshine Generalized moonshine I: genus-zero functions,

Reference 30

Resolution: verified exact; doi, observed 2026-08-10T23:09:47.242670Z

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

Observation 6f9d8bdf-a735-48f2-981b-083af898ad98 · outbound

This paper cites Generalized moonshine, II: Borcherds products,.

Vertex algebras, topological defects, and Moonshine Generalized moonshine, II: Borcherds products,

Reference 31

Resolution: verified exact; doi, observed 2026-08-10T23:09:47.230030Z

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

Observation 19635e0c-e5f8-48a5-920f-77fee074b7c7 · outbound

This paper cites Generalized Moonshine IV: Monstrous Lie algebras.

Vertex algebras, topological defects, and Moonshine Generalized Moonshine IV: Monstrous Lie algebras

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:09:47.461896Z

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Observation bdfb7382-43ed-410c-aff9-c74cb31b8b14 · outbound

This paper cites BPS Algebras, Genus Zero, and the Heterotic Monster.

Vertex algebras, topological defects, and Moonshine BPS Algebras, Genus Zero, and the Heterotic Monster

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:09:47.438930Z

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

Observation f3a10fee-6ac6-4a30-b9a1-6c07d36d0ad6 · outbound

This paper cites Duality Defects in $E_8$.

Vertex algebras, topological defects, and Moonshine Duality Defects in $E_8$

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.116812Z

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Observation 8d6226d3-60f6-4e32-8ac3-c1dcccd05be3 · outbound

This paper cites Regularity of fixed-point vertex operator subalgebras.

Vertex algebras, topological defects, and Moonshine Regularity of fixed-point vertex operator subalgebras

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.120753Z

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Observation 2ffa761b-c7a8-4e3c-a838-6fe0cce0f4c5 · outbound

This paper cites Construction and classification of holomorphic vertex operator algebras,.

Vertex algebras, topological defects, and Moonshine Construction and classification of holomorphic vertex operator algebras,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:09:47.898675Z

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

Observation a7765d92-abac-46c8-8c48-8d064b511dca · outbound

This paper cites Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond.

Vertex algebras, topological defects, and Moonshine Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.129191Z

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Unavailable: canonical work link unavailable.

Observation bb143eac-f700-4220-8625-391e706c32eb · outbound

This paper cites A self-dual integral form of the Moonshine module,.

Vertex algebras, topological defects, and Moonshine A self-dual integral form of the Moonshine module,

Reference 38

Resolution: verified exact; doi, observed 2026-08-10T23:09:47.216499Z

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

Observation 96d42218-13e2-444d-aa07-dcb896154bc9 · outbound

This paper cites Monstrous moonshine for integral group rings,.

Vertex algebras, topological defects, and Moonshine Monstrous moonshine for integral group rings,

Reference 39

Resolution: verified exact; doi, observed 2026-08-10T23:09:47.204506Z

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

Observation 84c4e1db-225a-4d70-9492-68603645a7b2 · outbound

This paper cites Monstrous BPS-Algebras and the Superstring Origin of Moonshine.

Vertex algebras, topological defects, and Moonshine Monstrous BPS-Algebras and the Superstring Origin of Moonshine

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:09:47.376128Z

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

Observation 9f0cde36-4d63-407d-aa97-5a8d894b01c4 · outbound

This paper cites On the Fate of Stringy Non-Invertible Symmetries.

Vertex algebras, topological defects, and Moonshine On the Fate of Stringy Non-Invertible Symmetries

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.143997Z

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Unavailable: canonical work link unavailable.

Observation 19f84122-ce4f-4179-9fe6-6cf81890a463 · outbound

This paper cites On a class of selection rules without group actions in field theory and string theory.

Vertex algebras, topological defects, and Moonshine On a class of selection rules without group actions in field theory and string theory

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.147906Z

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Unavailable: canonical work link unavailable.

Observation 09aca422-3741-40cf-9712-d997d2c5102b · outbound

This paper cites Self-Dual Vertex Operator Superalgebras and Superconformal Field Theory.

Vertex algebras, topological defects, and Moonshine Self-Dual Vertex Operator Superalgebras and Superconformal Field Theory

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.151458Z

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Unavailable: canonical work link unavailable.

Observation 888211ee-fbfd-4958-b863-1d74de4c295f · outbound

This paper cites Super-moonshine for Conway’s largest sporadic group,.

Vertex algebras, topological defects, and Moonshine Super-moonshine for Conway’s largest sporadic group,

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:09:47.886178Z

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

Observation d76c7456-3b50-4429-a1e9-2b21a650a665 · outbound

This paper cites Symmetries of K3 sigma models.

Vertex algebras, topological defects, and Moonshine Symmetries of K3 sigma models

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:09:47.316929Z

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

Observation 883f9738-5148-412f-859a-68f83f67f421 · outbound

This paper cites Derived Equivalences of K3 Surfaces and Twined Elliptic Genera.

Vertex algebras, topological defects, and Moonshine Derived Equivalences of K3 Surfaces and Twined Elliptic Genera

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:09:47.298625Z

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

Observation 89266fff-794b-4fc4-a4cf-83febbb82967 · outbound

This paper cites Topological defects in K3 sigma models.

Vertex algebras, topological defects, and Moonshine Topological defects in K3 sigma models

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.168008Z

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Observation 94166af2-dc7c-447e-99d4-6bf12c0d6c4b · outbound

This paper cites Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond.

Vertex algebras, topological defects, and Moonshine Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:46.975219Z

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Pith citing papers

Observation 45ae835a-460e-491d-9d4e-3012bc3e4eb6 · inbound

Parafermionizing the Monster cites this paper.

Parafermionizing the Monster Vertex algebras, topological defects, and Moonshine

Reference 44

Resolution: verified exact; arxiv_id, observed 2026-05-12T07:06:38.587586Z

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

Observation 3a97fab5-7973-4665-9cfd-59eaf90bb77b · inbound

Parafermionizing the Monster cites this paper.

Parafermionizing the Monster Vertex algebras, topological defects, and Moonshine

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-02T14:29:55.755467Z

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Observation 65f4e0e7-033a-40c0-88cf-9ec5112e8391 · inbound

Hodge Loci and Complex Multiplication via Generalized Symmetries in Calabi-Yau sigma models cites this paper.

Hodge Loci and Complex Multiplication via Generalized Symmetries in Calabi-Yau sigma models Vertex algebras, topological defects, and Moonshine

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-06-29T15:03:31.879796Z

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

Observation 2b62db4b-24e9-4142-b0e8-66f784eccf7a · inbound

Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras cites this paper.

Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras Vertex algebras, topological defects, and Moonshine

Reference 93

Resolution: verified exact; arxiv_id, observed 2026-07-02T10:16:52.068296Z

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