Pith. sign in

Paper Citation Record · LEDGER

On universal quantum dimensions of certain two-parameter series of representations

As of 18 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:1909.02076.

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

pith.paper-citation-record.v1
1909.02076 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:07:47.966113Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:04:25.584983Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T06:04:28.922332Z

Reference resolution

20 of 20 outbound references displayed

  • verified exact1
  • verified fuzzy9
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8ebb25b7-7842-44a5-9896-a90a87b4390e · outbound

This paper cites Vogel, The Universal Lie algebra.

On universal quantum dimensions of certain two-parameter series of representations Vogel, The Universal Lie algebra

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:07:48.332588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:07:47.860675Z digest=sha256:c861415f9c6de81656e27966cff780863e8ef406fb442c646a9d69ec7fcb7493

Observation d186205e-5a1b-4172-bd5b-2ab7d92dc6e0 · outbound

This paper cites 236-249,.

On universal quantum dimensions of certain two-parameter series of representations 236-249,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:07:48.315078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:07:47.867124Z digest=sha256:0f49aa3ecbaa9d0b5b6b9e3e8cdc5d9916c1be3b1dbc5129b4f04e0ff7fc6774

Observation 8f85a703-645a-4699-bb8f-84b9ed966725 · outbound

This paper cites Landsberg and L.Manivel, A universal dimension formula for co mplex simple Lie algebras.

On universal quantum dimensions of certain two-parameter series of representations Landsberg and L.Manivel, A universal dimension formula for co mplex simple Lie algebras

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:07:48.298334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:07:47.872952Z digest=sha256:2f4e88ce69b361473762558f31d1b6c5560fe56b3dfc604ae375c13c94cd75b8

Observation a1795d11-e76a-4eed-8420-8db2d897aa23 · outbound

This paper cites an unresolved cited work.

On universal quantum dimensions of certain two-parameter series of representations Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:07:48.281443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:07:47.878272Z digest=sha256:bff02c871c77e27ab545450cd40503915e41a92be9f2d1891360555b7538cd34

Observation 454b75eb-286a-4147-92e8-130f5c38c119 · outbound

This paper cites On duality and negative dimensions in the theory of Lie groups and symmetric spaces.

On universal quantum dimensions of certain two-parameter series of representations On duality and negative dimensions in the theory of Lie groups and symmetric spaces

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-14T05:07:47.883908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:07:47.883908Z digest=sha256:ffab985c7c0484f44d89f22f7a4dbf6b990129ae82bfdb934551a3fc098d2680

Observation a1b38398-2088-4a8e-91a6-5a07d7b777d7 · outbound

This paper cites Cvitanovic and A.

On universal quantum dimensions of certain two-parameter series of representations Cvitanovic and A

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T05:07:47.889675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:07:47.889675Z digest=sha256:b50b17ddd1e5996b96d707346d2b802ba7af958065a41c5642d4fa7603085379

Observation 1fe53d25-05a2-46b9-8ece-6da4a459b9d9 · outbound

This paper cites M.Cohen and R.

On universal quantum dimensions of certain two-parameter series of representations M.Cohen and R

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:07:48.254440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:07:47.895488Z digest=sha256:79ed1ceffb81a49c7810a2e49e438f53c9607f8954b2ea84f7a5bd639468892c

Observation 9a87432b-3914-4f69-9a1f-9aae69d0193f · outbound

This paper cites Kephart, LieART A Mathematica Ap pli- cation for Lie Algebras and Representation Theory, arXiv:1206.637 9.

On universal quantum dimensions of certain two-parameter series of representations Kephart, LieART A Mathematica Ap pli- cation for Lie Algebras and Representation Theory, arXiv:1206.637 9

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:07:48.236408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:07:47.899966Z digest=sha256:225d04be7f52e7d8ccdcbb1c4c856361f2f984dfabfb77ae7b6cdef66448179f

Observation de6b38b0-6f46-4da3-852f-71cc6147bfb4 · outbound

This paper cites Di Francesco, P.Mathieu and D.S´ en´ echal, Conformal Field Th eory.

On universal quantum dimensions of certain two-parameter series of representations Di Francesco, P.Mathieu and D.S´ en´ echal, Conformal Field Th eory

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:07:48.218450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:07:47.904350Z digest=sha256:5ea84ee25a4fe5df8fb836485c186579cb6f238b5a04405f7bc8a4ba308f2d75

Observation 1d7989a6-ce16-4448-a12c-6468ec11ab18 · outbound

This paper cites $X_2$ series of universal quantum dimensions.

On universal quantum dimensions of certain two-parameter series of representations $X_2$ series of universal quantum dimensions

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:07:48.120212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:07:47.908881Z digest=sha256:519132cacf387aabcddd1b9538d1ad5e044e8984ba7f3a95edcd0ba302136627

Observation 6b04f654-7965-42f5-956d-db1f1817868a · outbound

This paper cites Cvitanovic Group Theory.

On universal quantum dimensions of certain two-parameter series of representations Cvitanovic Group Theory

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:07:48.202178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:07:47.915182Z digest=sha256:d36effa137131a42ba962165044de877b80f9603070b309fb0ec276d4fc96d40

Observation e2933c48-a555-4466-8dff-5f3b450d033f · outbound

This paper cites Mkrtchyan The equivalence of Sp(2N ) and SO(− 2N ) gauge theories.

On universal quantum dimensions of certain two-parameter series of representations Mkrtchyan The equivalence of Sp(2N ) and SO(− 2N ) gauge theories

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:07:48.170304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:07:47.926234Z digest=sha256:0a3ef5ce4cf4e9f51f3153c422bb38ab6fec65aba4de77986c55620a007693ef

Observation aeff1725-a7bb-4e08-97d4-8b30fb3fc97f · outbound

This paper cites Casimir eigenvalues for universal Lie algebra.

On universal quantum dimensions of certain two-parameter series of representations Casimir eigenvalues for universal Lie algebra

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T05:07:47.931402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:07:47.931402Z digest=sha256:50951c3466450d7106e4f34aa97ff4ba39cc2ea9c3479a3208029b2a944ac89b

Observation 8cb7a2a3-735c-4c4e-8c17-683b07c19ee0 · outbound

This paper cites On Universal Eigenvalues of Casimir Operator.

On universal quantum dimensions of certain two-parameter series of representations On Universal Eigenvalues of Casimir Operator

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T05:07:47.936939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:07:47.936939Z digest=sha256:f7440837dfe0076c456c86985df98f697b0569ae6168f00319ccbe01cea66c92

Observation f9aee3ca-d0ef-4ac1-9be5-b04d3026c241 · outbound

This paper cites Preprint (1995), www.math.jussieu.fr/˜vogel/diagrams.pdf, J.

On universal quantum dimensions of certain two-parameter series of representations Preprint (1995), www.math.jussieu.fr/˜vogel/diagrams.pdf, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:07:48.153760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:07:47.943012Z digest=sha256:36099de75b2e66040e40511fb7086c93693ee6d46516cc1075e867b3da5dc703

Observation 61adca79-6155-43f7-9067-8d30b7da3c03 · outbound

This paper cites Nonperturbative universal Chern-Simons theory.

On universal quantum dimensions of certain two-parameter series of representations Nonperturbative universal Chern-Simons theory

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-14T05:07:47.948640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:07:47.948640Z digest=sha256:dffacb8c937608cdfd266c72cdee228d3c07a4140ddfb9cf757eb8bd345150f8

Observation 05177958-1e4f-4732-a456-c30ddeda5e58 · outbound

This paper cites Exact Chern-Simons / Topological String duality.

On universal quantum dimensions of certain two-parameter series of representations Exact Chern-Simons / Topological String duality

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-14T05:07:47.953978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:07:47.953978Z digest=sha256:1da8047bbd0b2d081e0d58beac3999099bdf61295cb4ad9616c1c28d59aa186e

Observation 22be4bc1-c6da-4917-bfa1-6eadb738148e · outbound

This paper cites Universality in Chern-Simons theory.

On universal quantum dimensions of certain two-parameter series of representations Universality in Chern-Simons theory

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-14T05:07:47.959752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:07:47.959752Z digest=sha256:2dcba403edfdfc4aa77b5da50a4704d8a2612a35c2335e034e61b2ffc1993006

Observation fa52d678-d4c1-4091-8bb8-5c2224c2bd6c · outbound

This paper cites On universal knot polynomials.

On universal quantum dimensions of certain two-parameter series of representations On universal knot polynomials

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-14T05:07:47.966113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:07:47.966113Z digest=sha256:2bcf252242b294952677c4cfdcfb93cfa8db04f2b7c996afe72545ca40fe1ad7

Observation 1c9f2c23-3264-458c-81ce-a8912dc55647 · outbound

This paper cites an unresolved cited work.

On universal quantum dimensions of certain two-parameter series of representations Unresolved cited work

Reference 2004

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:07:48.185344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:07:47.920399Z digest=sha256:9c7be0ddfce42ad9f53ce9e7617507cb723f9887f7edb0c942897f384f0d3ed6

Pith citing papers

Observation fca6e3fe-569c-45f2-bb16-b93304c7fabe · inbound

Torus knots in adjoint representation and Vogel's universality cites this paper.

Torus knots in adjoint representation and Vogel's universality On universal quantum dimensions of certain two-parameter series of representations

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-07T06:04:29.067197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T06:04:25.584983Z digest=sha256:8ed135bd252039a711b291db6b01a81036a2dbd9efab3bf03ed8d7551f74352d