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Paper Citation Record · LEDGER

Fusion Products of Twisted Modules in Permutation Orbifolds: II

As of 13 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:07:51.716437Z digest=sha256:e21b3e3571b81b1d3fafe2dd56b820eb56f6af7998851385f4d030394ee559ee

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

source=arxiv_source observed=2026-08-12T14:07:51.722626Z digest=sha256:9396a36f464d8a6f80e5a0bfcdb04d44224ff5e82f5063b0b3119b9ccbb3d346

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

source=arxiv_source observed=2026-08-12T14:07:51.727948Z digest=sha256:5e553082ad9d09ba8f7c5611926e38922fdfb287cf1c3ebaa219ca69d3683787

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

source=arxiv_source observed=2026-08-12T14:07:51.738172Z digest=sha256:cd6bc2b3616006269c5ce3bc71b1b3db0663aa8dded43f17baedda4f91b845bf

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

source=arxiv_source observed=2026-08-12T14:07:51.743867Z digest=sha256:fd16594034bb983fd68dd5fdc7338cb26f21439b129a0f467e4c083710365bf1

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

source=arxiv_source observed=2026-08-12T14:07:51.749623Z digest=sha256:b9f4ce023fcabc72c239c2eb08f39e3b7c6902b40bca20c3313a0a4dc4bf0e8f

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

source=arxiv_source observed=2026-08-12T14:07:51.755023Z digest=sha256:a99ef2e7d1e0492ffcd6011ff93a86c0504e975795415647d114248148a2f135

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

source=arxiv_source observed=2026-08-12T14:07:51.760485Z digest=sha256:219b015b7156b30719eb82c11e3cbad3c41fa39ee1ca67faa0c05d56917b5372

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

source=arxiv_source observed=2026-08-12T14:07:51.765739Z digest=sha256:2f0a9194e34846ced4ddb5273dbe7266bfbdfc11a17e807321466a0b29c73f7f

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=sha256:43f3c1d9cb263a19f4806ab4a9fa5d1a36e711c2095375f09eb9dfe6f9cd66ba

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

source=arxiv_source observed=2026-08-12T14:07:51.775517Z digest=sha256:3ac46a1cfcf9bc0b7d0c90b0110cac8eb876e748d97e535351a590c2518cee2f

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

source=arxiv_source observed=2026-08-12T14:07:51.780187Z digest=sha256:9fef7e9b473b0e27fe3610be3da50a5261ff6ecab408bb6f3aa0c58ca29efe36

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=sha256:26c7073dcc92e49a9515e62a1da99357e1626618cfd142591e9ef6e8b58a5604

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

source=arxiv_source observed=2026-08-12T14:07:51.791221Z digest=sha256:11e03a08be99804aa1fa72389ce2238fcee5d4c4b08cdf9e01108cfac5835a47

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

source=arxiv_source observed=2026-08-12T14:07:51.796506Z digest=sha256:9637f796a742d178ed559d90b6bdd85fd7872df65b632e7a9fe28d604d2ee0ae

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

source=arxiv_source observed=2026-08-12T14:07:51.801262Z digest=sha256:6ebd36d9565d9f239e26cfe71fe1a0b7d9fee8a2a112b25881e1e231e7d6a6a4

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

source=arxiv_source observed=2026-08-12T14:07:51.806419Z digest=sha256:cb517707b257693afd5d05b4431db30625987a72312ab037a47cdcc8eba6efab

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

source=arxiv_source observed=2026-08-12T14:07:51.812365Z digest=sha256:79edee906ce491c6d3a1fa1c2c9ffa47ff3ab16bb8bc37011dcc5344924d9c9b

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

source=arxiv_source observed=2026-08-12T14:07:51.818337Z digest=sha256:5e92f3f31e24ac40b48f4701976c8b9981484e9291dcf457fff714b8cb8054d1

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

source=arxiv_source observed=2026-08-12T14:07:51.825121Z digest=sha256:b8c817041d1250eb5aab26d8d9ac66b50782115f6116a6f79043a862dd611441

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

source=arxiv_source observed=2026-08-12T14:07:51.832930Z digest=sha256:0e7479392abf0c5c0ecadcee5bada818bf2143d57aea7c11aaab3ac31ff9b2a8

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

source=arxiv_source observed=2026-08-12T14:07:51.838988Z digest=sha256:fe766363ede654a2cb400acdbac9ef403a73f8c8f39ad6cf7a10e630c6137076

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

source=arxiv_source observed=2026-08-12T14:07:51.844798Z digest=sha256:ef923de4188a99074f440ad749ff63ab83f53049ba0a51e10127110b77cad007

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=sha256:757167f6d010ac76b1e094cf86e7ca4b8fc7b2136a041ee8b9fd638a3ba2d1ce

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

source=arxiv_source observed=2026-08-12T14:07:51.857331Z digest=sha256:1470f311bfc1edcf8fc79abbb7a2a757d8ef4dc20e6e2e4db0b52f77680b4706

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

source=arxiv_source observed=2026-08-12T14:07:51.862942Z digest=sha256:254b3bf390b718afd7e3346818d8adb1e148a68fb42877b5e4df071691f62e75

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

source=arxiv_source observed=2026-08-12T14:07:51.870034Z digest=sha256:742dfc4a229c22767a4c40f303953c76df03263b5a4adb42df7c6e879afcf2ce

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

source=arxiv_source observed=2026-08-12T14:07:51.875050Z digest=sha256:168eb3a4efc05924aee4da64c62f5abf7499547261ae2c4339ece6108d284167

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

source=arxiv_source observed=2026-08-12T14:07:51.880827Z digest=sha256:c1b84f9436f8efc02b635ed46e94a96c30d91c1124d3c6d91c1f08a03790ee7d

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

source=arxiv_source observed=2026-08-12T14:07:51.885833Z digest=sha256:5bfd5cb64b6ed13098fdd21a77391c08f9bef988db9caf0308db0d42112d972f

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

source=arxiv_source observed=2026-08-12T14:07:51.891048Z digest=sha256:c2571fb2c95e2f382c5ce9ccca085268d7adfcc32e0091d61c14b1c8cfea7258

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

source=arxiv_source observed=2026-08-12T14:07:51.896023Z digest=sha256:4635601f44fa2b2d87bf954926435d93cedae70e34add0a6998402ad744a4c1d

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=sha256:01ed74b994778c669f8657575c724a6f1d103d7549e43d6b98727a5be7bc29b7

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

source=arxiv_source observed=2026-08-12T14:07:51.909558Z digest=sha256:6326aa0dcc7af176311b99ebfc63ba4170f3e58ce9b937f3acec7deac779099a

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

source=arxiv_source observed=2026-08-12T14:07:51.915687Z digest=sha256:627f1105c1476e30d59cb8c573a1faf85c4305708017fde35d048d8063849b8f

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

source=arxiv_source observed=2026-08-12T14:07:51.921236Z digest=sha256:2ef1e63e6fe4f22ccdaac6fe9fa10557128d812d1af7eec96508d6bcfffe77f2

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

source=arxiv_source observed=2026-08-12T14:07:51.927464Z digest=sha256:9e67a907d81f37de61ef8bbf7e414e404248b3e94f58e4c7d5fd1f5da48e6f5e

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

source=arxiv_source observed=2026-08-12T14:07:51.932396Z digest=sha256:d2f1d97eb5d864ec370a62cfd7008e8e84586d9a1598c7522ffea133a1b5bac8

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=sha256:536c06fd15b29eb93b99892f6866e3c587ef3ee3b2e8f3fa861b91680779c324

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

source=arxiv_source observed=2026-08-12T14:07:51.942926Z digest=sha256:c7c07806644ae0af5dc877de4cb595a1fb0be4b3b823bf2b3b5c9d800e5b25ef

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

source=arxiv_source observed=2026-08-12T14:07:51.948577Z digest=sha256:3ca552481f3114611e57b39cf86044db3bcf7e2c77d09ab4ff58d874542b7f2c

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

source=arxiv_source observed=2026-08-12T14:07:51.954216Z digest=sha256:35088ef578f9c8599868831ad9439f922db7856ae014d5283b756ece5adda12a

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

source=arxiv_source observed=2026-08-12T14:07:51.959224Z digest=sha256:ad9afea8de307f69e0fa8f1f8484af0a3b38ae5d0a7326f71d55943e12d03f21

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

source=arxiv_source observed=2026-08-12T14:07:51.964857Z digest=sha256:e1aef7dee25eb42c17cbe0c81365f459c1668ce523bc3ce3c78d515a3deae899

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

source=arxiv_source observed=2026-08-12T14:07:51.971221Z digest=sha256:1b435210e26e98d34d6bba865972e2210d239c445ade0b9d6b9e98e1d3befb10

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

source=arxiv_source observed=2026-08-12T14:07:51.978406Z digest=sha256:996bdef5b07097e4f3ffd5fd3363c34337169593bf15a3fc79e3f15d5f749605

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

source=arxiv_source observed=2026-08-12T14:07:51.985767Z digest=sha256:0d346e06f579f43c1db696a81c6ad254c36e225514a90e6f327b37fd4bb46278

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

source=arxiv_source observed=2026-08-12T14:07:51.991303Z digest=sha256:6af759e77a7eb349bf94106ce33891ef6255c8f9983d9fa8ef5d068a355da912

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

source=arxiv_source observed=2026-08-12T14:07:51.998586Z digest=sha256:e92d0ca118e5186f1e69bdd022725a97063f94257cdd83b0ed3b63fa9e8ed2e4

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

source=arxiv_source observed=2026-08-12T14:07:52.006223Z digest=sha256:39a75fbc6a49b5718bf7aaa5a6cd52ca887ee8840ef2098edf6358b8f8697902

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

source=arxiv_source observed=2026-08-12T14:07:52.011958Z digest=sha256:12ed0c5b4346670edb7058f03212dbb2e14debf4c32f8b9e929062bfb130c99e

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

source=arxiv_source observed=2026-08-12T14:07:52.020405Z digest=sha256:2dda6bee200cc34aca53a4366f0eaa2cdc02d0da6a025dc6b1a1cb06a1db8a96

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

source=arxiv_source observed=2026-08-12T14:07:52.028471Z digest=sha256:b1573f31e30c2bf24568f3fec0df3537b7ab8dd045d846d3e9e34496fe387ee9

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

source=arxiv_source observed=2026-08-12T14:07:52.036832Z digest=sha256:cf18e59151ea8f16df1ea12a96c0b51145b2e5988ba4252387d8f0c484ec2dd6

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

source=arxiv_source observed=2026-08-12T14:07:52.045138Z digest=sha256:440b283435259a17b6cbf3f2cc67a6c52219ea79c5fac8bc60dd4fa3e8037c56

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

source=arxiv_source observed=2026-08-12T14:07:52.050490Z digest=sha256:3a0e65bb77d8e218a70912aa19fc0f5d3143b45137704d2908ef0377b2c9817d

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

source=arxiv_source observed=2026-08-12T14:07:52.057647Z digest=sha256:a38fdd967c88358ac1c3ad73aff9107707559cc11a32f867e7edf9fecd4788c4

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

source=arxiv_source observed=2026-08-12T14:07:52.066032Z digest=sha256:1cce119662b731424e9660dca8d13f1cc2c82791669ee7ebb74fc953b120e399

Pith citing papers

No inbound Pith citation observations are available.