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Paper Citation Record · LEDGER

Algebraic realization of noncommutative near-group fusion categories

As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.01655.

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

pith.paper-citation-record.v1
1908.01655 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:24:55.973757Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

24 of 24 outbound references displayed

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  • verified fuzzy20
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3480eaf7-dce9-4bd1-8a4a-8b0b69d832b5 · outbound

This paper cites Coste, T.

Algebraic realization of noncommutative near-group fusion categories Coste, T

Reference 1

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verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.432041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c6e3e99e-3e0d-4841-9868-98e7f5ab0393 · outbound

This paper cites Etingof, S.

Algebraic realization of noncommutative near-group fusion categories Etingof, S

Reference 2

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raw_fallback, observed 2026-08-14T15:24:56.415080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.851083Z digest=sha256:d60fb23320f158de6c462bfbea16541a4e7629cb8ba83a14f1eec7917d315de8

Observation b145894b-5b19-4d19-b838-2d8077414a67 · outbound

This paper cites Etingof, S.

Algebraic realization of noncommutative near-group fusion categories Etingof, S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.397775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 80d3f0cd-aac3-4f40-99e0-b061e5965820 · outbound

This paper cites Evans, T.

Algebraic realization of noncommutative near-group fusion categories Evans, T

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.380822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.862257Z digest=sha256:f9424cd8240aba00e287ab9e1b5758053795a325dcd1b8b47f7039607789db2d

Observation a671fcf2-7011-4b09-a8eb-2b458b6897b8 · outbound

This paper cites Gelaki, D.

Algebraic realization of noncommutative near-group fusion categories Gelaki, D

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.364047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.867947Z digest=sha256:b3f24a2cb30dd0d7756c97b4d236a399a2c4be96e1a186bbb89526c96bf8f261

Observation b0f930d7-8c7c-4c8e-aee4-b13681b3a8f5 · outbound

This paper cites Izumi, Subalgebras of infinite C ∗ -algebras with finite Watatani indices.

Algebraic realization of noncommutative near-group fusion categories Izumi, Subalgebras of infinite C ∗ -algebras with finite Watatani indices

Reference 6

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verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.345697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.873830Z digest=sha256:94780a129a908ce3500437c4f29408b019aa48662dfa18a336b1eaa3422ef866

Observation 0f85ce7c-ab8b-44a3-bbeb-fddb2f8c4620 · outbound

This paper cites Izumi, The Structure of Sectors Associated with Longo -Rehren Inclusions I.

Algebraic realization of noncommutative near-group fusion categories Izumi, The Structure of Sectors Associated with Longo -Rehren Inclusions I

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.325071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.880574Z digest=sha256:dc6e54d1e558e29e7531d531dc7ac15c157c500e588b7dfcc211029bfa1d9c30

Observation 9f5fedb1-fd31-462f-a9b7-1dcb70c6a851 · outbound

This paper cites Izumi, The Structure of Sectors Associated with Longo -Rehren Inclusions II.

Algebraic realization of noncommutative near-group fusion categories Izumi, The Structure of Sectors Associated with Longo -Rehren Inclusions II

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.308476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.885580Z digest=sha256:f926ae1a7337b951fd677ef65e92e16ca105c1426073a9d849bb1318d9773d53

Observation dd30568c-21f0-4938-8d7c-368d9d70360d · outbound

This paper cites Izumi, A Cuntz algebra approach to the classification o f near-group categories, Proc.

Algebraic realization of noncommutative near-group fusion categories Izumi, A Cuntz algebra approach to the classification o f near-group categories, Proc

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.289564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.890771Z digest=sha256:b069015b675fa64b818f35e90d9d160e8cc1be75478d18e4855075574a1c715b

Observation c69c7022-3945-4421-91f5-0464bb8ed28d · outbound

This paper cites Izumi, The classification of 3 n subfactors and related fusion categories.

Algebraic realization of noncommutative near-group fusion categories Izumi, The classification of 3 n subfactors and related fusion categories

Reference 10

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verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.273776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.895968Z digest=sha256:ff00df180b564410910855149f415b4566d1e050aa18e4c7d32d1dda7f1e37a1

Observation 2719cc6b-409b-403a-a185-4e04b3988463 · outbound

This paper cites Masuoka, Calculations of some groups of Hopf algebra extensions, J.

Algebraic realization of noncommutative near-group fusion categories Masuoka, Calculations of some groups of Hopf algebra extensions, J

Reference 11

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verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.258150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.900952Z digest=sha256:1fa92767413cb2af2708c6c099b86c80597333ae9bc43869074a4279da2d307e

Observation f01e33fa-4535-4c01-a059-3c7c8c592d5e · outbound

This paper cites Masuoka, Hopf Algebra Extensions and Cohomology, Ne w Directions in Hopf Algebras, MSRI Publications 43 (2002) 167–209.

Algebraic realization of noncommutative near-group fusion categories Masuoka, Hopf Algebra Extensions and Cohomology, Ne w Directions in Hopf Algebras, MSRI Publications 43 (2002) 167–209

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.241688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.906241Z digest=sha256:8b56a37ade2d61aa031eae748f317ea685d1cde7223b6f057424aed30bf9ee89

Observation bc45dcc0-9745-4036-a2ea-735bdf8f2d4d · outbound

This paper cites Masuoka, Cohomology and coquasi-bialgebra extensi ons associated to a matched pair of bialgebras, Adv.

Algebraic realization of noncommutative near-group fusion categories Masuoka, Cohomology and coquasi-bialgebra extensi ons associated to a matched pair of bialgebras, Adv

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.224605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.912726Z digest=sha256:80e8f06a0320a3e4aa2afdf9b9496970fab1fb3da6d583e24a0542210a414184

Observation 3de9f7e2-bfb0-4a2a-9c41-d71b0baeaa2c · outbound

This paper cites Natale, Frobenius-Schur indicators for a class of fu sion categories, Pac.

Algebraic realization of noncommutative near-group fusion categories Natale, Frobenius-Schur indicators for a class of fu sion categories, Pac

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.206524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.918552Z digest=sha256:b784d518bd0716570d05cd0ffb4f5bf4757aa6ac330a5e3d78b10859724e01fc

Observation 563ac2d6-347a-4ad8-9724-36377425e029 · outbound

This paper cites an unresolved cited work.

Algebraic realization of noncommutative near-group fusion categories Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:24:56.189591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.924306Z digest=sha256:2fb9b8cd9451e1081071c249bbe671ccaa4381c75db45e5732fcf7941c4e7f0b

Observation 34ad96c5-97d5-4177-8bc4-8154f704bd15 · outbound

This paper cites Ostrik, Module categories, weak Hopf algebras and mo dular invariants, Transform.

Algebraic realization of noncommutative near-group fusion categories Ostrik, Module categories, weak Hopf algebras and mo dular invariants, Transform

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.172991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.929361Z digest=sha256:882fd30472d8e5a9a2e6a19d0166b4801b5a164d5ab0aaf504ceda2eb06b4c18

Observation 36855a01-542b-4146-a25b-e28944cdc196 · outbound

This paper cites Ostrik, Module categories over the Drinfel’d double of a finite group, Int’l Math.

Algebraic realization of noncommutative near-group fusion categories Ostrik, Module categories over the Drinfel’d double of a finite group, Int’l Math

Reference 17

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verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.155819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.934487Z digest=sha256:cf433f82f91236e54074598326c9bb61df7beb3e919a7a48305e80ccb92bd9e3

Observation 7238d595-70ef-4b69-a9e1-ee2176a39e89 · outbound

This paper cites Ostrik, Pivotal fusion categories of rank 3.

Algebraic realization of noncommutative near-group fusion categories Ostrik, Pivotal fusion categories of rank 3

Reference 18

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raw_fallback, observed 2026-08-14T15:24:56.136768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.940511Z digest=sha256:756b46a8cff52834c26c0efc7b4d4930d53bb59844f9d87d99fe19af55650cf6

Observation 7f5348c7-f9ff-4c5e-96d1-dd8591957c3e · outbound

This paper cites an unresolved cited work.

Algebraic realization of noncommutative near-group fusion categories Unresolved cited work

Reference 19

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unresolved
raw_fallback, observed 2026-08-14T15:24:56.116679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.945813Z digest=sha256:bddb53c87e1fb48d6efd38852010308afae8cd6fb3fda74c1e0b5b8dc54564b1

Observation 2d827f53-1c62-4797-b365-79636b2e82f1 · outbound

This paper cites Schauenburg, A higher Frobenius-Schur indicator fo rmula for group-theoretical fusion categories.

Algebraic realization of noncommutative near-group fusion categories Schauenburg, A higher Frobenius-Schur indicator fo rmula for group-theoretical fusion categories

Reference 20

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verified fuzzy
raw_fallback, observed 2026-08-14T15:24:56.080026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.956911Z digest=sha256:92b3f860b6f11e0f3bddce56456043e67d058978a3530a3ad0f4403af6f93f59

Observation 6f1fa4a1-93a5-43f7-a55c-16cf38c6a4e4 · outbound

This paper cites Near-group categories.

Algebraic realization of noncommutative near-group fusion categories Near-group categories

Reference 21

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raw_fallback, observed 2026-08-14T15:24:56.059487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.962364Z digest=sha256:6dd68a23c59a1fe969a0ed4bb47da487bf3ec87d7658f80bb6b83d5a0c1beb8e

Observation 8c01ea87-86d3-41ae-b43c-86752760111d · outbound

This paper cites Tambara, S.

Algebraic realization of noncommutative near-group fusion categories Tambara, S

Reference 22

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raw_fallback, observed 2026-08-14T15:24:56.041252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.968580Z digest=sha256:b0959754b9afa52d7815c0d0280d1e8d5fae2c24aa72e9fe457abc56f001a951

Observation b11baa41-3c55-432e-af1a-582e90667d42 · outbound

This paper cites Frobenius-Schur indicators for near-group and Haagerup-Izumi fusion categories.

Algebraic realization of noncommutative near-group fusion categories Frobenius-Schur indicators for near-group and Haagerup-Izumi fusion categories

Reference 23

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local_arxiv, observed 2026-08-14T15:24:56.023741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation cf32c870-b361-4665-89e3-bf5fc46a7636 · outbound

This paper cites an unresolved cited work.

Algebraic realization of noncommutative near-group fusion categories Unresolved cited work

Reference 80

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raw_fallback, observed 2026-08-14T15:24:56.098429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:55.951938Z digest=sha256:646d3177ec112dee242b1fb83c0848f8a0e013b60e0ed0149e59f13b851b69a3

Pith citing papers

No inbound Pith citation observations are available.