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Paper Citation Record · LEDGER

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

As of 16 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 2026-08-16T06:30:59.297886+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

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=sha256:68adef18503891177be4d76c07b0b61f45e20a1096379b08dff520bd48dea2c7

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:20:43.584666Z digest=sha256:09846fb81b0d86cd960079e65ed45537dd8d79dbf5c82bc19b2f929faa667e19

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:20:44.368958Z digest=sha256:0b9c3be083767071ea8b9723bcc223a06cce131fad4a27e3537453c81a5b310f

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=sha256:514df25b96ecc61161aee8d985b4644f989cdc750143a8fb479fbae11be51343

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:20:44.280349Z digest=sha256:9d087c8c4c00211eee8ee86a91778ce9460f9029b5855dfddc2df3a59536eb83

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:d5a18b833cf8cf928b21330e58336ebac71d14eb45921d74aa9ab05486067e25

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:20:43.660755Z digest=sha256:a543f94bb3181132fc96d849a61e22e1c19044c742e6d6afed47c787087f9cbc

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=sha256:74755864a462dee16b10a63fa6adbba37d48561dfc193ea11b125058e0f35098

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:20:43.961261Z digest=sha256:6350401eb01a6ba57ca9f86ef23f8ef145b1e6ad7ddbf35f1a978c2cc4a11d33

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:20:43.498217Z digest=sha256:3c05432e677e639a79f29a4420b22c0681339b8c53840b47a23671197857be3e

Pith citing papers

No inbound Pith citation observations are available.