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Paper Citation Record · LEDGER

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

As of 17 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=sha256:84b8babaa529b1a7fd2e0e7fe21caefbf6a7e2ac29985948ded2eacaa5a9532e

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

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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=sha256:503afe86e2cc9ee66063a5578e1d107419116bb556d5651ff477e1abdb11cf76

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=sha256:7f51b59455ebfdb8d492ddcf8c4af1c5a7cdeefc2cae24af8aff4ad641658677

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=sha256:3ff22c8311bd2de25faa56511a9d19cc5286435c33ccd7f08575995c3a387c77

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:f63ae05a168d1be14f4c1b3e8ea46afe48d2a4ff6e041cd4c27a84dc6eb9c606

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:f998da24fcc534eb2edb463b4b4f9a7d79a1ec0b6ca6c80f3190957c1cfa684d

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:e084007edbbc1638be6be84299249ed02cfacc5418c63466d7955d4875bd1ac7

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

Resolution
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=sha256:9d6a27bd2f6de466ef398f015fa95881b09250a146c8141a4fed1c7001fc301a

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=sha256:0414142002b749587ea30dabaedc1b0e90140d4c9dd51a3db46eea883c96c5c7

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:a0aff8081da916f5428e4b33b7024f6543e2cb52e44792ded3af451c21e98792

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=sha256:24d660a9901e8af19c5e9f58b66fb4d25e34b2d0ff0e5f0357238a4aa849455f

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=sha256:755b599ead2799ebf4d5d4677365245740892349a1154c29eb6b61e53ed855b1

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=sha256:4e381d2905dd69fa2c1061016fb0dfd8735d27850a170585d8fba980e0c874a5

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=sha256:59e6da31d8e7bf74c6d80fef17d64adb1c499ea005a4db09be5ed4455d6c4c8f

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:b6b83ce67eb0fa8df5829f200f709821325c0e42475a689074716dd0ad50fc7c

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:ff476216c8b7bb24728ef1ede4f2250356ae88b272572b4b9b7f9bf6f36e0e41

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=sha256:310b75c6228c1675609b844e08e12cc6fc86690b3fb3cd7f139a30f94a5483a5

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=sha256:8459a2815e9f3b45cb45b14e88e85776f20b1fce49fdb9041a553eb08f75711e

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=sha256:112ec32cde9a9d3bedb159d82727c64fa8a80a1988e4ad63bac533a53ce739fd

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:f62ead1ab3fa6e2d117b2dbe4153ce8f2f1d0504f94ca5bfdeb3134883483cc7

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=sha256:572d358d5e04d5f747b790452bbc36c9b6f6b6dbe0e4e9c0394b1792cbd50050

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=sha256:5c030699d84431cc41391c887898ef26aa29f80812b38a4e02c5686a647062a4

Pith citing papers

No inbound Pith citation observations are available.