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Paper Citation Record · LEDGER

Fusion Products of Twisted Modules in Permutation Orbifolds: II

As of 21 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2411.15751.

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

pith.paper-citation-record.v1
2411.15751 v1

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:07:52.066032Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

58 of 58 outbound references displayed

  • verified exact2
  • verified fuzzy33
  • unresolved23
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c84a6f6f-df8d-4694-923d-5327a556168a · outbound

This paper cites Abe, C_ 2 -cofiniteness of the 2 -cycle permutation orbifold models of minimal Virasoro vertex operator algebras, Commun.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Abe, C_ 2 -cofiniteness of the 2 -cycle permutation orbifold models of minimal Virasoro vertex operator algebras, Commun

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:53.641745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.716437Z digest=sha256:f749a121375ee23d2d716e498e678704b4cc9d3c0066edfd22667ddd504a9d65

Observation c8a614ae-91c0-4799-a8ac-931b01099b79 · outbound

This paper cites Abe, C_ 2 -cofiniteness of 2-cyclic permutation orbifold models, Commun.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Abe, C_ 2 -cofiniteness of 2-cyclic permutation orbifold models, Commun

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:53.620516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.722626Z digest=sha256:c53f0a289967b33cb75824629bcbaf7553159e72f94689c566b749ef197cde87

Observation 07a731d5-2073-4552-9ed3-ea446abbe14e · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.594527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.727948Z digest=sha256:54eb11f0269b4be80406829df860c2276b7afd2a4f6d987322fb722d37474ff2

Observation a74bf1aa-117d-4165-b563-bbf6ea17b6b6 · outbound

This paper cites Barron, C.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Barron, C

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:53.564681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.738172Z digest=sha256:ecdf1a8c135cd87401f6f35b876a6a3632f47e597f538d01e74fbed88ccefce3

Observation dd82bb15-b16b-4166-8f04-b947bb743dd0 · outbound

This paper cites Bakalov, J.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Bakalov, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:53.541838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.743867Z digest=sha256:2de3d9ee44ba378d6b66b9a7de50e8e75ebac9512056bd8f62ddc442330ac2d2

Observation 5918c4e4-385a-462e-bb2d-8d1b194b1dd2 · outbound

This paper cites Barron, Y.-Z.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Barron, Y.-Z

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:53.522638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.749623Z digest=sha256:e79d24d961c794dc413c5602e77c0773821a1e2c294b3661e0f199096e845305

Observation fb16e931-d6f3-4d11-937f-628393f7f396 · outbound

This paper cites Bakalov, A.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Bakalov, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:53.503151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.755023Z digest=sha256:168500fafa59305db372055d6b0e2d1b0ae775cbd3400bd7b2b61f8c698d9285

Observation 3e9ad8d6-52a1-4724-bc3d-700b7218608a · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.480372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.760485Z digest=sha256:6ac21338109dfdabf084f1475e9c17b6e952152ad17857b0d58e1c1c5f505222

Observation 805b9f8a-b611-43f1-a9d5-80a4fbeff7e8 · outbound

This paper cites Creutzig, S.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Creutzig, S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:53.455790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.765739Z digest=sha256:a170c80e1fbf464086d43c674fab580e4fa9ff06a7bbc48c8fb505406fdff00e

Observation 864e4f5c-b43d-4aed-9c82-f681a0a44b76 · outbound

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

Fusion Products of Twisted Modules in Permutation Orbifolds: II Regularity of fixed-point vertex operator subalgebras

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-12T14:07:51.770407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T14:07:51.770407Z digest=sha256:022370901af36581b6cccaee1895d2634883a056187db678d61daf5d43377e48

Observation 6b8eeeb7-07fe-4118-a680-44161116daaa · outbound

This paper cites Dong, Vertex algebras associated with even lattices, J.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Dong, Vertex algebras associated with even lattices, J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:53.436814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.775517Z digest=sha256:bde93d3d6780e1f95c0a085b8e53191084dcd522bd505f4cd67cf08b243e4749

Observation def613a8-07a8-4a4e-923c-d6360d260b28 · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.411509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.780187Z digest=sha256:ff1437b3ba5736606a6745279deaa8cc701122baf2e3b1341e31b11400b4ac97

Observation b2ac819c-1e4a-408e-9de1-80a8acef03f3 · outbound

This paper cites Twisted Verlinde formula for vertex operator algebras.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Twisted Verlinde formula for vertex operator algebras

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-12T14:07:51.785535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T14:07:51.785535Z digest=sha256:cc6ae2fc4ffe918d82706a201a473a56e78bcbd8a311ff72f2c6d1e6ef1128f3

Observation b21c61ef-3bf3-4b1c-8847-9d9550dca3e6 · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.378544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.791221Z digest=sha256:b53be2edd079995933d8351b809cf776ced4506cc99a1c6ceb57943309b4babd

Observation d7ed25b3-72ec-4fa0-8f12-92514c34f678 · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.345017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.796506Z digest=sha256:112c7d8fc1a9dec183941553dd22745ae090aa80b05b5655deccec5c5defeffc

Observation b2a786c7-5070-4075-85a5-652f6bd0145d · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.321868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.801262Z digest=sha256:3acce76109b20b878169b2f628782a37c5bf33a42b3d6795017be2c0a44150c8

Observation 36190c1e-796f-4ae8-90ca-2209f2025c68 · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.294750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.806419Z digest=sha256:590351dbdf9dd1bdaee5abe1d5d7567aeb0625f2e1befe79f53558cb86262d67

Observation fe6faf76-206f-4b74-8e6e-21052721e180 · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.275627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.812365Z digest=sha256:647a747ecfddcd968123d9f177b8e9e5240df1f2d83806f2f47810a704a42ffd

Observation fa00a887-e289-44c3-a1d3-1a93088d52cb · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.253246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.818337Z digest=sha256:923d314f1f6043cc28c086514cebe542dfe6dad17dc76c314c5a4c56985c1b5d

Observation c66fb18a-8184-4635-9697-133c4afe0322 · outbound

This paper cites Orbifolds and minimal modular extensions.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Orbifolds and minimal modular extensions

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:07:52.329188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.825121Z digest=sha256:7addf15b5cc278e73f8b2e1b0937341b31ec245e62f662aad72edd6d359b24ab

Observation f61ed862-6507-453c-a669-be26448fc332 · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.228551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.832930Z digest=sha256:1d4198e41340f80a54e112245fb8881d4ffe876047a9c25b765bda4f89e0fcf5

Observation bca74cbc-d055-4f24-aa20-6bb7d27c4303 · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.205580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.838988Z digest=sha256:4837f64586e5ca3042c398b9ad88a8d5e7e09140115b4117b4a8f36c238d24dd

Observation 34692852-7532-4b15-993d-94eb3b349e11 · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.172865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.844798Z digest=sha256:ed00e3ab6a45b532ef8ed73fe1325e9afa935b3a8f210a14618d2643fbdb03c0

Observation 0c258c48-bbb9-4fe0-95c1-b591db9c4a9f · outbound

This paper cites Coset constructions and Kac-Wakimoto Hypothesis.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Coset constructions and Kac-Wakimoto Hypothesis

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-12T14:07:51.850379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T14:07:51.850379Z digest=sha256:79333834a7dab6fdbc5b7cf851c3bc1f12835c85bcb1b121c26bae14bf2c077a

Observation 6d2493a9-986c-4b31-957a-f5b2358be676 · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.149755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.857331Z digest=sha256:0c16fc63a0f86409682f933c08c4d4b64e1591885176df6e663944e8bd369a83

Observation ed72955f-9bb0-4a15-aee2-5dd5bca1fe8e · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.124089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.862942Z digest=sha256:0d9a88e69d65eacd9352f4880a338b9997ceecae0281d112ae559c554933cc7a

Observation c9d0a657-5e6e-4519-a737-bdf14bd08004 · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.096831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.870034Z digest=sha256:e4820cd5ef1bf470cd8e2624466845f3f69d5327ec3a46fbbcf71af9f78e841d

Observation 85b55bfa-835c-405b-9b9e-0d0c375ca81f · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:53.075791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.875050Z digest=sha256:5df1628127c2097df3b53b7b2e9db9e08a9121f3ac5290455bb83c337eafc766

Observation 39461513-f1ef-49db-8d92-8dd482e3cd42 · outbound

This paper cites Etingof, S.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Etingof, S

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:53.052794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.880827Z digest=sha256:d6e68d03bad1d49bf547724b74cc0f5ab0a946db776b281d1877ca414fa7a330

Observation 622fcfac-971b-4c2b-b483-67e2d65a20e9 · outbound

This paper cites Etingof, D.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Etingof, D

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:53.030231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.885833Z digest=sha256:e6d9a837f9aa6a6e0d4f61a8775eea318275c97dab7de6f83447453e5f3be8b2

Observation ba8508f5-0193-4445-a6ff-ee56feaba0e5 · outbound

This paper cites Frenkel, Y.-Z.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Frenkel, Y.-Z

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:53.006028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.891048Z digest=sha256:55a374441de3defbb2bb4972ad505cc0b381f63a6e469139e369347c5a34d7d4

Observation 1c0cc111-902f-40f9-ae56-b9a7f6b71ba7 · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:52.968897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.896023Z digest=sha256:6848ad720e83ed2b357d123a86408027038f98c956ce8842666fa7b5a9c16245

Observation 030becf7-d985-4b1d-9b6e-6d27be5d9fd0 · outbound

This paper cites Gui, Genus-zero permutation-twisted conformal blocks for tensor product vertex operator algebras: The tensor-factorizable case.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Gui, Genus-zero permutation-twisted conformal blocks for tensor product vertex operator algebras: The tensor-factorizable case

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-12T14:07:51.903338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T14:07:51.903338Z digest=sha256:93a374e45ca89d67224c755a8d589a711ff5cac50227b53b724e8cfa3a1d1d51

Observation 5c798a60-f994-4c97-9e67-990cfdbc15a5 · outbound

This paper cites Huang, A theory of tensor products for module categories for a vertex operator algebra, IV, J.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Huang, A theory of tensor products for module categories for a vertex operator algebra, IV, J

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.939149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.909558Z digest=sha256:a7fb503a765b28bcec89d57edaf9fb3c12a1b49a4bab5752e472b84e06b6cf56

Observation ba7392b5-1224-4060-9803-08daaa7e011d · outbound

This paper cites Huang, Vertex operator algebras and the Verlinde conjecture, Commun.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Huang, Vertex operator algebras and the Verlinde conjecture, Commun

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.916424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.915687Z digest=sha256:1b50d8d79b1bd29ddb2bad9e5b343bb7da9195692f76e0e82b2e231255a74711

Observation ab5f85a3-0c60-4977-a31c-9fee1c521d92 · outbound

This paper cites Huang, Rigidity and modularity of vertex tensor categories, Commun.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Huang, Rigidity and modularity of vertex tensor categories, Commun

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.895583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.921236Z digest=sha256:be51e749f4907a1502a91601e00a856e9080400fcff86ba478c8b00cc17d2589

Observation cd583ccd-8aa8-4df7-b564-9b5a3fdbc28f · outbound

This paper cites Huang, J.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Huang, J

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.873052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.927464Z digest=sha256:224051642e05c519b66c85b10c7ba854046b5b3c899038d85679cc989eaaf47b

Observation eb37d766-6e0b-4b29-864c-8ab714dc9954 · outbound

This paper cites Huang, J.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Huang, J

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.843151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.932396Z digest=sha256:fb34a68404167d278cdfa8af5cb4adfd52fbea176cf1211f347a35e92f5b1785

Observation a04b64c4-9d02-40fb-a4b8-092a33bf2e31 · outbound

This paper cites Modular categories and orbifold models II.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Modular categories and orbifold models II

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-12T14:07:51.936709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T14:07:51.936709Z digest=sha256:9269cab4ba5abd087709a47b5427dc5ca8e0b063d8143f3ea97e82942f8c8138

Observation 1113bb8a-582e-4ea6-9875-dc07e0c7f0c3 · outbound

This paper cites Kirillov Jr., Modular categories and orbifold models, Commun.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Kirillov Jr., Modular categories and orbifold models, Commun

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.820169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.942926Z digest=sha256:8914a5f4de96e0b348390d51c1d6b6a3b366d57a6ca4fdfd616e220f05fd2be7

Observation 8c947b6c-0648-4878-82f2-7a8e99624b40 · outbound

This paper cites Karel, H.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Karel, H

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.791010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.948577Z digest=sha256:cad3774dd589d7e0d0ab8a3514fe37c5d6198c73439b1cd10b4df9e8a05e60ab

Observation b1284b49-79af-41e0-bdef-392cc4e92aa2 · outbound

This paper cites an unresolved cited work.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:52.756383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.954216Z digest=sha256:509cab7d11b5fd7de7135b68a48b77a9b97e4e2257dd01ed9081ab181eb5ea76

Observation c178dc0f-bee1-415e-8ecf-921d32d8d058 · outbound

This paper cites Kirillov Jr., V.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Kirillov Jr., V

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.733081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.959224Z digest=sha256:0a18dbb72dc849582defeb8630c62ba7dd60f912c9f6d895bb01d116a6c6728d

Observation bc606959-936c-4656-b8a3-dab05028027b · outbound

This paper cites Lepowsky, Calculus of twisted vertex operators, Proc.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Lepowsky, Calculus of twisted vertex operators, Proc

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.711910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.964857Z digest=sha256:f35d4288158bce0a4ab6fb56a41f4b8fda9754b983dedf17bec2b106b71b5ca9

Observation c51b9613-7130-4aa5-a247-083527a6d75f · outbound

This paper cites Li, An analogue of the Hom functor and a generalized nuclear democracy theorem, Duke Math.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Li, An analogue of the Hom functor and a generalized nuclear democracy theorem, Duke Math

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.690715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.971221Z digest=sha256:35ea3209cbdff5fbab57b074e3513c6d91af2a9bb039c65da6f0c728855d2273

Observation c259e00c-3f06-42ed-8173-367eafa19944 · outbound

This paper cites Li, Some finiteness properties of regular vertex operator algebras, J.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Li, Some finiteness properties of regular vertex operator algebras, J

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.661633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.978406Z digest=sha256:0cd515321c4aae06376f4941a9c999f8d1bd5e60bb3a2832f9d79cd8951e7d76

Observation 85177b54-63b7-4f1f-a001-da340126425d · outbound

This paper cites Lusztig, Leading coefficients of character values of Hecke algebras, Proc.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Lusztig, Leading coefficients of character values of Hecke algebras, Proc

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.644131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.985767Z digest=sha256:dc664abe289bdfb2d6894bc031cc4e1c5737ce837c811d3cebc99b34ff0d1c03

Observation 90277830-23f5-4845-83e7-0196b4610b6f · outbound

This paper cites Miyamoto, A Z _3 -orbifold theory of lattice vertex operator algebra and Z _3 -orbifold constructions, Springer Proc.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Miyamoto, A Z _3 -orbifold theory of lattice vertex operator algebra and Z _3 -orbifold constructions, Springer Proc

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.620403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.991303Z digest=sha256:2bec2a300a6bc8feb9614e3dd1f4ba9443d893416038a3917339e9f03a72d0c9

Observation 2537cc9f-f3d8-4fba-aae5-e4fd91733599 · outbound

This paper cites Miyamoto, C_2 -cofiniteness of cyclic-orbifold models, Commun.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Miyamoto, C_2 -cofiniteness of cyclic-orbifold models, Commun

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.599875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.998586Z digest=sha256:3a12eb4eb7f8ccd095c3a2cae45e4ef17f233b3e66f5ee2e86aee145045c5a24

Observation 9602e3b2-49b3-4012-a38b-4db2b7b627ab · outbound

This paper cites Milas, M.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Milas, M

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.578810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:52.006223Z digest=sha256:141edb4184e9bb256168c2e82af4b84b9e04482417a95d1b408a5346fff5b70d

Observation 7f8275e1-1ebc-4099-b24e-38b24ea46d7f · outbound

This paper cites Milas, M.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Milas, M

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.554324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:52.011958Z digest=sha256:dba9ab9e3584299881f4a6196da91788a5def11cfb873e8f69f2703927f5dedf

Observation c0b5baed-e334-42fc-b754-25d218457b85 · outbound

This paper cites Milas, M.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Milas, M

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.534368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:52.020405Z digest=sha256:28dbe9d598bbfd8a15a5c6bf6b17c67bd4474b96bd0b8294d7710245151e4ca6

Observation 2338810e-164d-4a84-97f1-5f7043c9cb1f · outbound

This paper cites Modular Categories.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Modular Categories

Reference 53

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:07:52.127927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:52.028471Z digest=sha256:acc5af0ce4c61886216656217c3e2178a79fc78c0a58ba6e2b12183e1089839f

Observation 2169e3f8-7f24-486d-8df9-1b12b568a5a3 · outbound

This paper cites Serre, A Course in Arithmetic, Grad.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Serre, A Course in Arithmetic, Grad

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.509090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:52.036832Z digest=sha256:967240e27dd576d37af61065a4cdbd4a3dc1f09727c2d80b2b5bd5bccb3c8500

Observation 514d28df-579d-477f-b797-2daeab0648fd · outbound

This paper cites Verlinde, Fusion rules and modular transformation in 2D conformal field theory, Nucl.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Verlinde, Fusion rules and modular transformation in 2D conformal field theory, Nucl

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.487112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:52.045138Z digest=sha256:8361aeb145e299d9eb9d53fa2c050d19cd2ac77f4c3d2600be88accb425abe1c

Observation 2ed8fdd2-4f2f-4a38-9cef-fdd946eff4cc · outbound

This paper cites Xu, Some computations in the cyclic permutations of completely rational nets, Commun.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Xu, Some computations in the cyclic permutations of completely rational nets, Commun

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.459537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:52.050490Z digest=sha256:5ca66ac0569b60060f97a52b492a77a5545274903c6dba1960fcd1fd900cc747

Observation 41c5f820-5ed7-4195-abe8-1308dd861c4a · outbound

This paper cites Xu, Intertwining operators for twisted modules of a colored vertex operator superalgebra, J.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Xu, Intertwining operators for twisted modules of a colored vertex operator superalgebra, J

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.431977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:52.057647Z digest=sha256:6cd71ecee7a5c6056a34d42d575c832dd742f641ba768d6be3caa5377a6c88fd

Observation a8380a34-5ed1-4361-91da-4176515ced74 · outbound

This paper cites Zhu, Modular invariance of characters of vertex operator algebras, J.

Fusion Products of Twisted Modules in Permutation Orbifolds: II Zhu, Modular invariance of characters of vertex operator algebras, J

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:52.397157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T14:07:52.066032Z digest=sha256:f326e04003d95a2a10362e75240a2eecf44530bb8451003fa03000c31e4582a9

Pith citing papers

No inbound Pith citation observations are available.