Paper Citation Record · LEDGER

Diagrammatic Categories which arise from Representation Graphs

As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2502.05005.

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

pith.paper-citation-record.v1
2502.05005 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T20:47:00.421883Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

20 of 20 outbound references displayed

verified exact2
verified fuzzy15
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5792d716-9b18-461e-a071-46c2f6989767 · outbound

This paper cites Furthermore, for /u1D44E, /u1D44F∈ /u1D43C/u1D43A, we will also use /u1D44F→ /u1D44Eto denote that /u1D44Fis adjacent to /u1D44Ein /u1D445(/u1D449, /u1D43A).

Diagrammatic Categories which arise from Representation Graphs Furthermore, for /u1D44E, /u1D44F∈ /u1D43C/u1D43A, we will also use /u1D44F→ /u1D44Eto denote that /u1D44Fis adjacent to /u1D44Ein /u1D445(/u1D449, /u1D43A)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:47:00.741305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 42ceca7e-3c31-40fa-850d-cff8886699be · outbound

This paper cites Temperley and Elliot H Lieb.

Diagrammatic Categories which arise from Representation Graphs Temperley and Elliot H Lieb

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:47:00.605101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 25a82eef-05db-47c1-a8b1-a0b129c77abd · outbound

This paper cites We will again use the convention that the empty diagram is the morphism from (0) to (0) which represents multiplication by 1 where (0) = ¯0 is the identity object.

Diagrammatic Categories which arise from Representation Graphs We will again use the convention that the empty diagram is the morphism from (0) to (0) which represents multiplication by 1 where (0) = ¯0 is the identity object

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:47:00.761365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1e31f0a0-e936-4b47-ae8e-712c9cd22cb2 · outbound

This paper cites For example, let Γ be the representation graph of one of the ﬁnite subgroups of /u1D446/u1D448(2) as discussed in 2.

Diagrammatic Categories which arise from Representation Graphs For example, let Γ be the representation graph of one of the ﬁnite subgroups of /u1D446/u1D448(2) as discussed in 2

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:47:00.751235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3e4b7666-b97a-4241-a8fc-f266824ca17a · outbound

This paper cites an unresolved cited work.

Diagrammatic Categories which arise from Representation Graphs Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-08T20:47:00.730974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 27f00d81-891c-4c43-8b22-22c6efdc7ccb · outbound

This paper cites Shorter notes: Cartan matrices, ﬁnite groups of quat ernions, and Kleinian singularities.

Diagrammatic Categories which arise from Representation Graphs Shorter notes: Cartan matrices, ﬁnite groups of quat ernions, and Kleinian singularities

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:47:00.721106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f66653ce-e5f6-4c94-b4ba-6970e37e8f79 · outbound

This paper cites Barnes, Georgia Benkart, and Tom Halverson.

Diagrammatic Categories which arise from Representation Graphs Barnes, Georgia Benkart, and Tom Halverson

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:47:00.595490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 41a70391-93f1-47d0-a9a9-8b1bb0eccddd · outbound

This paper cites Quantum invariants of knots and 3-mani folds.

Diagrammatic Categories which arise from Representation Graphs Quantum invariants of knots and 3-mani folds

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:47:00.585915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9a43e3cd-c479-4d52-ad61-0cb6d05bc84f · outbound

This paper cites The Temperley-Lieb categories and skein modules.

Diagrammatic Categories which arise from Representation Graphs The Temperley-Lieb categories and skein modules

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-08T20:47:00.484846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 588910e4-ca8a-4de2-86ac-ac4bbea065ec · outbound

This paper cites The representation theory of Brauer categories I: triangular categories.

Diagrammatic Categories which arise from Representation Graphs The representation theory of Brauer categories I: triangular categories

Reference 10

Resolution: metadata mismatch; local_arxiv, observed 2026-08-08T20:47:00.470794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 18088018-9c05-4a89-adc1-cda1d3a50108 · outbound

This paper cites A new approach to the representation theory of the partition category.

Diagrammatic Categories which arise from Representation Graphs A new approach to the representation theory of the partition category

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-08T20:47:00.456706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 59573b03-0d54-453c-ae94-e003feaf09b5 · outbound

This paper cites Etingof, S.

Diagrammatic Categories which arise from Representation Graphs Etingof, S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:47:00.575444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5da3989d-0d2e-4f72-b355-0b56eb068ac7 · outbound

This paper cites Lane, S.J.

Diagrammatic Categories which arise from Representation Graphs Lane, S.J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:47:00.565557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 91fecc0b-ba14-4c41-b232-6c4f1a85b913 · outbound

This paper cites an unresolved cited work.

Diagrammatic Categories which arise from Representation Graphs Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-08T20:47:00.555900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 686c21f5-3335-4fd2-bb0c-bbb9bc6081b4 · outbound

This paper cites Mckay tree s, 2021.

Diagrammatic Categories which arise from Representation Graphs Mckay tree s, 2021

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:47:00.545733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 562e791e-b7aa-4a42-a54e-a15733c146e4 · outbound

This paper cites Evans and Mathew Pugh.

Diagrammatic Categories which arise from Representation Graphs Evans and Mathew Pugh

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:47:00.535587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 13af14f4-b6af-4301-8cec-8debd299e905 · outbound

This paper cites On a /u1D45E-analogue of the McKay correspondence and the /u1D434/u1D437/u1D438classiﬁcation of ˆ/u1D460/u1D4592 conformal ﬁeld theories.

Diagrammatic Categories which arise from Representation Graphs On a /u1D45E-analogue of the McKay correspondence and the /u1D434/u1D437/u1D438classiﬁcation of ˆ/u1D460/u1D4592 conformal ﬁeld theories

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:47:00.525809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c535d0b0-7047-4cda-b2ac-9bc241a01ee6 · outbound

This paper cites McKay graphs.

Diagrammatic Categories which arise from Representation Graphs McKay graphs

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:47:00.515404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a84c5b15-ed65-4524-ada0-b8ee3f9ab1ad · outbound

This paper cites On symmetric fusion categories in posit ive characteristic.

Diagrammatic Categories which arise from Representation Graphs On symmetric fusion categories in posit ive characteristic

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:47:00.505274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4095a9be-1165-467d-bf91-f7229ddb680a · outbound

This paper cites Commutative algebra s in ﬁbonacci categories.

Diagrammatic Categories which arise from Representation Graphs Commutative algebra s in ﬁbonacci categories

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:47:00.495170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.