Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T14:07:52.066032Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T14:07:52.066032Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
58 of 58 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation c84a6f6f-df8d-4694-923d-5327a556168a · outbound
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
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.
Observation c8a614ae-91c0-4799-a8ac-931b01099b79 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Abe, C_ 2 -cofiniteness of 2-cyclic permutation orbifold models, Commun
Reference 2
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.
Observation 07a731d5-2073-4552-9ed3-ea446abbe14e · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 3
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.
Observation a74bf1aa-117d-4165-b563-bbf6ea17b6b6 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Barron, C
Reference 4
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.
Observation dd82bb15-b16b-4166-8f04-b947bb743dd0 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Bakalov, J
Reference 5
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.
Observation 5918c4e4-385a-462e-bb2d-8d1b194b1dd2 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Barron, Y.-Z
Reference 6
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.
Observation fb16e931-d6f3-4d11-937f-628393f7f396 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Bakalov, A
Reference 7
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.
Observation 3e9ad8d6-52a1-4724-bc3d-700b7218608a · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 8
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.
Observation 805b9f8a-b611-43f1-a9d5-80a4fbeff7e8 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Creutzig, S
Reference 9
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.
Observation 864e4f5c-b43d-4aed-9c82-f681a0a44b76 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Regularity of fixed-point vertex operator subalgebras
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b8eeeb7-07fe-4118-a680-44161116daaa · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Dong, Vertex algebras associated with even lattices, J
Reference 11
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.
Observation def613a8-07a8-4a4e-923c-d6360d260b28 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 12
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.
Observation b2ac819c-1e4a-408e-9de1-80a8acef03f3 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Twisted Verlinde formula for vertex operator algebras
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b21c61ef-3bf3-4b1c-8847-9d9550dca3e6 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 14
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.
Observation d7ed25b3-72ec-4fa0-8f12-92514c34f678 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 15
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.
Observation b2a786c7-5070-4075-85a5-652f6bd0145d · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 16
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.
Observation 36190c1e-796f-4ae8-90ca-2209f2025c68 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 17
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.
Observation fe6faf76-206f-4b74-8e6e-21052721e180 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 18
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.
Observation fa00a887-e289-44c3-a1d3-1a93088d52cb · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 19
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.
Observation c66fb18a-8184-4635-9697-133c4afe0322 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Orbifolds and minimal modular extensions
Reference 20
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.
Observation f61ed862-6507-453c-a669-be26448fc332 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 21
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.
Observation bca74cbc-d055-4f24-aa20-6bb7d27c4303 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 22
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.
Observation 34692852-7532-4b15-993d-94eb3b349e11 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 23
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.
Observation 0c258c48-bbb9-4fe0-95c1-b591db9c4a9f · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Coset constructions and Kac-Wakimoto Hypothesis
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d2493a9-986c-4b31-957a-f5b2358be676 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 25
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.
Observation ed72955f-9bb0-4a15-aee2-5dd5bca1fe8e · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 26
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.
Observation c9d0a657-5e6e-4519-a737-bdf14bd08004 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 27
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.
Observation 85b55bfa-835c-405b-9b9e-0d0c375ca81f · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 28
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.
Observation 39461513-f1ef-49db-8d92-8dd482e3cd42 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Etingof, S
Reference 29
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.
Observation 622fcfac-971b-4c2b-b483-67e2d65a20e9 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Etingof, D
Reference 30
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.
Observation ba8508f5-0193-4445-a6ff-ee56feaba0e5 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Frenkel, Y.-Z
Reference 31
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.
Observation 1c0cc111-902f-40f9-ae56-b9a7f6b71ba7 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 32
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.
Observation 030becf7-d985-4b1d-9b6e-6d27be5d9fd0 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c798a60-f994-4c97-9e67-990cfdbc15a5 · outbound
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
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.
Observation ba7392b5-1224-4060-9803-08daaa7e011d · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Huang, Vertex operator algebras and the Verlinde conjecture, Commun
Reference 35
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.
Observation ab5f85a3-0c60-4977-a31c-9fee1c521d92 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Huang, Rigidity and modularity of vertex tensor categories, Commun
Reference 36
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.
Observation cd583ccd-8aa8-4df7-b564-9b5a3fdbc28f · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Huang, J
Reference 37
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.
Observation eb37d766-6e0b-4b29-864c-8ab714dc9954 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Huang, J
Reference 38
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.
Observation a04b64c4-9d02-40fb-a4b8-092a33bf2e31 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Modular categories and orbifold models II
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1113bb8a-582e-4ea6-9875-dc07e0c7f0c3 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Kirillov Jr., Modular categories and orbifold models, Commun
Reference 40
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.
Observation 8c947b6c-0648-4878-82f2-7a8e99624b40 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Karel, H
Reference 41
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.
Observation b1284b49-79af-41e0-bdef-392cc4e92aa2 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Unresolved cited work
Reference 42
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.
Observation c178dc0f-bee1-415e-8ecf-921d32d8d058 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Kirillov Jr., V
Reference 43
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.
Observation bc606959-936c-4656-b8a3-dab05028027b · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Lepowsky, Calculus of twisted vertex operators, Proc
Reference 44
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.
Observation c51b9613-7130-4aa5-a247-083527a6d75f · outbound
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
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.
Observation c259e00c-3f06-42ed-8173-367eafa19944 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Li, Some finiteness properties of regular vertex operator algebras, J
Reference 46
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.
Observation 85177b54-63b7-4f1f-a001-da340126425d · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Lusztig, Leading coefficients of character values of Hecke algebras, Proc
Reference 47
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.
Observation 90277830-23f5-4845-83e7-0196b4610b6f · outbound
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
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.
Observation 2537cc9f-f3d8-4fba-aae5-e4fd91733599 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Miyamoto, C_2 -cofiniteness of cyclic-orbifold models, Commun
Reference 49
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.
Observation 9602e3b2-49b3-4012-a38b-4db2b7b627ab · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Milas, M
Reference 50
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.
Observation 7f8275e1-1ebc-4099-b24e-38b24ea46d7f · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Milas, M
Reference 51
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.
Observation c0b5baed-e334-42fc-b754-25d218457b85 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Milas, M
Reference 52
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.
Observation 2338810e-164d-4a84-97f1-5f7043c9cb1f · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Modular Categories
Reference 53
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.
Observation 2169e3f8-7f24-486d-8df9-1b12b568a5a3 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Serre, A Course in Arithmetic, Grad
Reference 54
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.
Observation 514d28df-579d-477f-b797-2daeab0648fd · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Verlinde, Fusion rules and modular transformation in 2D conformal field theory, Nucl
Reference 55
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.
Observation 2ed8fdd2-4f2f-4a38-9cef-fdd946eff4cc · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Xu, Some computations in the cyclic permutations of completely rational nets, Commun
Reference 56
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.
Observation 41c5f820-5ed7-4195-abe8-1308dd861c4a · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Xu, Intertwining operators for twisted modules of a colored vertex operator superalgebra, J
Reference 57
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.
Observation a8380a34-5ed1-4361-91da-4176515ced74 · outbound
Fusion Products of Twisted Modules in Permutation Orbifolds: II Zhu, Modular invariance of characters of vertex operator algebras, J
Reference 58
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.
No inbound Pith citation observations are available.