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Paper Citation Record · LEDGER

Classification of symmetric fusion categories over $\mathbb{R}$

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.04940.

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

pith.paper-citation-record.v1
2608.04940 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:47:28.366210Z

measured 22 of 22 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

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy3
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3fbac6b7-7d83-4d6a-a37b-64bf0b418e80 · outbound

This paper cites Tannakian categories in positive characteristic.

Classification of symmetric fusion categories over $\mathbb{R}$ Tannakian categories in positive characteristic

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T14:47:28.279056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:47:28.279056Z digest=sha256:bec805527228838d0ec11987a853985cdcf4b849b4fb7af236619c05dbe8510c

Observation 7327abe5-eee2-4fb1-8de8-25caff90b759 · outbound

This paper cites Compact Semisimple 2-Categories.

Classification of symmetric fusion categories over $\mathbb{R}$ Compact Semisimple 2-Categories

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T14:47:28.286050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:47:28.286050Z digest=sha256:7148a4ac4fd10cf8f249cb19aa79558a5aadd37c5d99fc29219f5aa9192397dc

Observation 5662ca29-92fd-4549-8fb4-66ba3d216372 · outbound

This paper cites Rigid and Separable Algebras in Fusion 2-Categories.

Classification of symmetric fusion categories over $\mathbb{R}$ Rigid and Separable Algebras in Fusion 2-Categories

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T14:47:28.291022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:47:28.291022Z digest=sha256:1642a38193511e1eac3394101c907c86809fefc07baf577066a758fa83442a4e

Observation cc331f75-87ff-4328-bae3-f312b06d151d · outbound

This paper cites an unresolved cited work.

Classification of symmetric fusion categories over $\mathbb{R}$ Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:47:28.684066Z

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=arxiv_source observed=2026-08-15T14:47:28.295165Z digest=sha256:90ba189b43f705cf3324e307514901439693dcc3d9da29a99a26d8f0c52bb7b9

Observation 827a061e-6446-4665-8bfc-88c3a271700c · outbound

This paper cites an unresolved cited work.

Classification of symmetric fusion categories over $\mathbb{R}$ Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:47:28.670431Z

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=arxiv_source observed=2026-08-15T14:47:28.299025Z digest=sha256:221545f86635b4dd29fd5b4b8bcc1fe87230b4addc496c759c659e07248f2bc2

Observation b4215f8b-f99f-4ca1-adb5-c8bf22c4d334 · outbound

This paper cites The Classification of Fusion 2-Categories.

Classification of symmetric fusion categories over $\mathbb{R}$ The Classification of Fusion 2-Categories

Reference 6

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unresolved
no resolver link, observed 2026-08-15T14:47:28.302886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:47:28.302886Z digest=sha256:910c91da986737bade551423a389c892a1464b279e638ac9169452156d7e21f6

Observation f2fe332c-fcf4-4a26-94d7-8da0b42815db · outbound

This paper cites Deligne and J.

Classification of symmetric fusion categories over $\mathbb{R}$ Deligne and J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:47:28.657270Z

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=arxiv_source observed=2026-08-15T14:47:28.307437Z digest=sha256:ebfad743a6d15bc3330e2a3185ab22581050e10d614548cc71266db4c9650602

Observation c6d0f242-d2dd-4f78-8ae8-92b869cdb684 · outbound

This paper cites The Witt group of non-degenerate braided fusion categories.

Classification of symmetric fusion categories over $\mathbb{R}$ The Witt group of non-degenerate braided fusion categories

Reference 8

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unresolved
no resolver link, observed 2026-08-15T14:47:28.311043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:47:28.311043Z digest=sha256:8dd6956a4a3d88c2d00ae4850eee77ce63a75c86c94d3437ecd6ce4cefcd087d

Observation a2fa35e8-3bda-4e4c-8fc5-270dd667f9e2 · outbound

This paper cites Dualizable tensor categories.

Classification of symmetric fusion categories over $\mathbb{R}$ Dualizable tensor categories

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-15T14:47:28.314891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:47:28.314891Z digest=sha256:61e3d2c253e1b63e31fd81f1f7cf586738ab0ecd060fac23418781f90fe070bd

Observation 716df510-7c27-42b3-a677-e97b390190db · outbound

This paper cites Descent and forms of tensor categories.

Classification of symmetric fusion categories over $\mathbb{R}$ Descent and forms of tensor categories

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T14:47:28.319040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:47:28.319040Z digest=sha256:10cb8e88328d63eb5c8a7a173d8bfae89df164d577738c5ec5370ef2720be9a6

Observation deb6a419-c711-4eaa-943a-8f641f62b222 · outbound

This paper cites Tensor categories.

Classification of symmetric fusion categories over $\mathbb{R}$ Tensor categories

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:47:28.643937Z

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=arxiv_source observed=2026-08-15T14:47:28.323006Z digest=sha256:2738b22450176505fe05d4427d9e18ddc9d60fe11db7b7e8b7f198c57a9ae325

Observation 45cb4eb4-4b12-486b-85a9-e53393e99240 · outbound

This paper cites Fusion categories and homotopy theory.

Classification of symmetric fusion categories over $\mathbb{R}$ Fusion categories and homotopy theory

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-15T14:47:28.326670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:47:28.326670Z digest=sha256:bfe90d32b792f8591cf5eadefb2f4d9ec73923c83667785c6ca11e24d28a208a

Observation 256c9d83-c757-4650-85a1-610c036fecab · outbound

This paper cites Finite tensor categories.

Classification of symmetric fusion categories over $\mathbb{R}$ Finite tensor categories

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-15T14:47:28.330639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:47:28.330639Z digest=sha256:3541075a60fe999ca905cfa0fa73746239e75a03798214cef1c7af1ae6255a75

Observation 013026de-b32a-4e8e-924c-b3ff493ae686 · outbound

This paper cites The 2-character theory of finite 2-groups.

Classification of symmetric fusion categories over $\mathbb{R}$ The 2-character theory of finite 2-groups

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-15T14:47:28.334376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:47:28.334376Z digest=sha256:f90fb6090a5539aaa21cf932169b6b7522407210c8acaed748ab508298dfd2ff

Observation b7ead3cd-0a94-40ce-99b6-a3c9a0919bc4 · outbound

This paper cites Joyal and R.

Classification of symmetric fusion categories over $\mathbb{R}$ Joyal and R

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:47:28.631036Z

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=arxiv_source observed=2026-08-15T14:47:28.338186Z digest=sha256:23271915186e3abbb5034ccc34dd9edfc2270fbe1c2ca3ad9e2b03cd9c104421

Observation a8f1a104-32d7-492c-baf5-29196b17a4bf · outbound

This paper cites Semisimple and separable algebras in multi-fusion categories.

Classification of symmetric fusion categories over $\mathbb{R}$ Semisimple and separable algebras in multi-fusion categories

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-15T14:47:28.341515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:47:28.341515Z digest=sha256:9f978d7da9809ecc33e10f9776cbbbaf9f61760248b507706a4fbca3ff4896ad

Observation c5c16f69-d3a5-4432-92f2-0e75566699f7 · outbound

This paper cites Categories of quantum liquids II.

Classification of symmetric fusion categories over $\mathbb{R}$ Categories of quantum liquids II

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-15T14:47:28.345422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:47:28.345422Z digest=sha256:196446ea8ac340c121fe6c997be791795c35ebffe08096b3e48484baa31df05e

Observation 1a441067-ccd9-438e-a988-fd06ac7b2c53 · outbound

This paper cites Module categories, weak Hopf algebras and modular invariants.

Classification of symmetric fusion categories over $\mathbb{R}$ Module categories, weak Hopf algebras and modular invariants

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-15T14:47:28.349498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:47:28.349498Z digest=sha256:0ff8a3467e9dcd9f2ae4a5da880982ff9e1dc47d312fc4126ff8d59e1b29f7c4

Observation 2e110879-bbc5-4f84-b201-fd82c38ffdb9 · outbound

This paper cites On symmetric fusion categories in positive characteristic.

Classification of symmetric fusion categories over $\mathbb{R}$ On symmetric fusion categories in positive characteristic

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-15T14:47:28.353650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:47:28.353650Z digest=sha256:90952aaae17e760e4ee1b55e3079b69c956d82e31ed94977def1110cfba62fe5

Observation 2dc2ca62-2cc9-4755-82a1-a152c8de3ef6 · outbound

This paper cites Fusion Categories over Non-Algebraically Closed Fields.

Classification of symmetric fusion categories over $\mathbb{R}$ Fusion Categories over Non-Algebraically Closed Fields

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-15T14:47:28.357961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:47:28.357961Z digest=sha256:ef93e917fe501081468b688e6e4804ae8c2f2a9cf46597baee4e3142da0136de

Observation 38bd982d-4e20-494c-aa08-f9d97e348d18 · outbound

This paper cites Finite quantum groupoids and inclusions of finite type.

Classification of symmetric fusion categories over $\mathbb{R}$ Finite quantum groupoids and inclusions of finite type

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-15T14:47:28.425529Z

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=arxiv_source observed=2026-08-15T14:47:28.361946Z digest=sha256:d21c8fbbbddd7a4f81f53d9ccde8480928812f12c8fa6191cf6a9106d622c871

Observation 493fd384-8795-42df-bf99-6149f57c790e · outbound

This paper cites Adjointable monoidal functors and quantum groupoids.

Classification of symmetric fusion categories over $\mathbb{R}$ Adjointable monoidal functors and quantum groupoids

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-15T14:47:28.406355Z

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=arxiv_source observed=2026-08-15T14:47:28.366210Z digest=sha256:b20c09b660c89b22ce7bfd159c2d4864c844e8c9917c355b1d33f23bded73b1b

Pith citing papers

No inbound Pith citation observations are available.