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Paper Citation Record · LEDGER

Tables of practical invariants for distinguishing multiplicity-free fusion categories up to rank 7

As of 8 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2507.00652.

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

pith.paper-citation-record.v1
2507.00652 v3

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:20:44.368958Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

10 of 10 outbound references displayed

  • verified exact5
  • verified fuzzy0
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7ca430a0-d9d3-481a-8870-c4da28f4c9e5 · outbound

This paper cites An Invitation to the Mathematics of Topological Quantum Computation.

Tables of practical invariants for distinguishing multiplicity-free fusion categories up to rank 7 An Invitation to the Mathematics of Topological Quantum Computation

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T21:20:44.190735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:20:44.190735Z digest=sha256:bdab5100713717e194b7b706c00580b1a7d78980739b087f238fb05759c43d04

Observation 226fd96e-bcd4-454e-b670-1a6c26f453e1 · outbound

This paper cites Fusion Categories for Affine Vertex Algebras at Admissible Levels.

Tables of practical invariants for distinguishing multiplicity-free fusion categories up to rank 7 Fusion Categories for Affine Vertex Algebras at Admissible Levels

Reference 10

Resolution
verified exact
doi, observed 2026-08-06T21:20:44.884998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T21:20:43.584666Z digest=sha256:444f668d98db16fdf9429cc93a51f41f3a458ab31053213ba8012f8027bdbd6e

Observation c588eb57-621e-4ccf-80f8-15d4fb6b7db5 · outbound

This paper cites On Low-Rank Multiplicity-Free Fusion Categories.

Tables of practical invariants for distinguishing multiplicity-free fusion categories up to rank 7 On Low-Rank Multiplicity-Free Fusion Categories

Reference 322

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T21:20:44.564340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T21:20:44.368958Z digest=sha256:6e3e6e2dabc0773caf6cfec1c8961e51ffa284a90cc582cd8b777ccb54ff5127

Observation 496d9c76-36ea-4938-b6cf-42c49c90ecb2 · outbound

This paper cites Topological Quantum Computation.

Tables of practical invariants for distinguishing multiplicity-free fusion categories up to rank 7 Topological Quantum Computation

Reference 2002

Resolution
unresolved
no resolver link, observed 2026-08-06T21:20:43.852427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:20:43.852427Z digest=sha256:022dde92bd2aaa7d3cec2c583df10c988539f9dcbe39e775582222e0748160d4

Observation 028ebb76-33f9-48f8-a021-98b54a6b208c · outbound

This paper cites Modular Categories and 3-Manifold Invariants.

Tables of practical invariants for distinguishing multiplicity-free fusion categories up to rank 7 Modular Categories and 3-Manifold Invariants

Reference 2010

Resolution
verified exact
doi, observed 2026-08-06T21:20:44.734647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T21:20:44.280349Z digest=sha256:05b87d4a8ed4069ed894d74a129f94503dc51854c19a5fe2cf9665c4f7358934

Observation 68648cc6-042b-475c-a6a6-c7f174e55815 · outbound

This paper cites Near-group fusion categories and their doubles.

Tables of practical invariants for distinguishing multiplicity-free fusion categories up to rank 7 Near-group fusion categories and their doubles

Reference 2012

Resolution
unresolved
no resolver link, observed 2026-08-06T21:20:43.746406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:20:43.746406Z digest=sha256:a6d05135cdff513e5f53a4164af7cf65818b35bd4145e1e74cc1fc5d7b4e932f

Observation 7678a921-eefd-4e54-9037-7b8358a2a372 · outbound

This paper cites On Arithmetic Modular Categories.

Tables of practical invariants for distinguishing multiplicity-free fusion categories up to rank 7 On Arithmetic Modular Categories

Reference 2013

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:20:45.472545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T21:20:43.660755Z digest=sha256:b60743fe4915088861b6b957d4bebbc06d86054a36c294ecefaf2293fa6f8f0a

Observation 8f65519f-279f-410b-b6ac-693b6c477d49 · outbound

This paper cites Bicommutant categories from fusion categories.

Tables of practical invariants for distinguishing multiplicity-free fusion categories up to rank 7 Bicommutant categories from fusion categories

Reference 2016

Resolution
unresolved
no resolver link, observed 2026-08-06T21:20:44.082587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:20:44.082587Z digest=sha256:74c367b0a58003c3390f477d38c2a41f06d399ea073a00e591a2ee264c435960

Observation 1eb53fb0-f81f-4032-85b7-7c13fd914d80 · outbound

This paper cites The Extended Haagerup fusion categories.

Tables of practical invariants for distinguishing multiplicity-free fusion categories up to rank 7 The Extended Haagerup fusion categories

Reference 2018

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:20:45.262685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T21:20:43.961261Z digest=sha256:547365eadb9018043591cce8d2199dac41ace70a0af830fe274ab26f138afccc

Observation d0f70b50-7680-4fc5-a574-ad7843addd6a · outbound

This paper cites Lectures on Tensor Categories and Modular Functors.

Tables of practical invariants for distinguishing multiplicity-free fusion categories up to rank 7 Lectures on Tensor Categories and Modular Functors

Reference 2025

Resolution
verified exact
doi, observed 2026-08-06T21:20:45.063750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T21:20:43.498217Z digest=sha256:22193c78a2a63f3968f8ffd39ef9d12c71beb67c21d7c688e15fa1c25e1da47c

Pith citing papers

No inbound Pith citation observations are available.