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Paper Citation Record · LEDGER

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations

As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2507.10371.

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

pith.paper-citation-record.v1
2507.10371 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:49:13.464118Z

measured 17 of 17 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 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

17 of 17 outbound references displayed

  • verified exact5
  • verified fuzzy8
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 280bcd33-ddf3-4016-911d-b80ff6153ede · outbound

This paper cites Applications of negative dimensional tensors,.

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations Applications of negative dimensional tensors,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:49:15.409986Z

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=2026-08-06T17:49:12.297462Z digest=sha256:5b54ca5df5358244577d35672972bf57a3671f7a8095a73e7aec1e3554afe97b

Observation 26c8c4b2-98c7-4c72-a768-4e36168da46d · outbound

This paper cites an unresolved cited work.

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:49:15.308242Z

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=2026-08-06T17:49:12.385104Z digest=sha256:0f6a7d4a6ddfa47936aa0360092d54ee6bbd24590cf82b939b5080b1b9148d22

Observation af103e5a-9553-4261-99be-9a8eb0d5fbd7 · outbound

This paper cites Parisi and N.

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations Parisi and N

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:49:15.192097Z

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=2026-08-06T17:49:12.475991Z digest=sha256:00ec07e1085bf611acd13590e7a5eafff7ed8ffc49c0c13e70f3111fb3c18af3

Observation ba33f40b-469a-4df7-96ce-d9b5408893ae · outbound

This paper cites Cvitanovic and A.

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations Cvitanovic and A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:49:15.091971Z

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=2026-08-06T17:49:12.484071Z digest=sha256:fa1c8b05c01a4bef101276f8528d4db621c603833630dec7671d4eac3286b1ec

Observation 3549895f-04d3-4a9c-8891-a659ad5e27b3 · outbound

This paper cites Cvitanovic Group Theory.

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations Cvitanovic Group Theory

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:49:15.003846Z

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=2026-08-06T17:49:12.509124Z digest=sha256:7b63bcb8e6566d06c77ccb008e1a78a6205735c743744fdcae179d654c71ee24

Observation 3a208602-cc39-4402-b5d5-938e535f52f7 · outbound

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

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations Mkrtchyan The equivalence of Sp(2N ) and SO(−2N ) gauge theories

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:49:14.895973Z

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=2026-08-06T17:49:12.594310Z digest=sha256:b41b2a2e87690555a2c41e6415e830a2069a6deb3b66fc1cae0119c293e7ef5a

Observation 8d78f9a1-c1d4-4f17-84af-de243b08d3d2 · outbound

This paper cites Vogel, The Universal Lie algebra, Preprint (1999), https://webusers.imj- prg.fr/˜pierre.vogel/grenoble-99b.pdf.

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations Vogel, The Universal Lie algebra, Preprint (1999), https://webusers.imj- prg.fr/˜pierre.vogel/grenoble-99b.pdf

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:49:14.775514Z

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=2026-08-06T17:49:12.665504Z digest=sha256:fb9c20fd8f05e35b20bd57599f9491dbdb34f225d786088aa95bff3fa80f99df

Observation 1f6f51b8-b841-4694-964d-f510616fcc8c · outbound

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

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations On duality and negative dimensions in the theory of Lie groups and symmetric spaces

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T17:49:12.723998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:49:12.723998Z digest=sha256:7279bc6d48ebce6f09a913bd844e850190991da28cc18b36f960f09caa2e4999

Observation 0dbf586c-049c-4177-a8a4-f969761cfbb6 · outbound

This paper cites Mathematics of the USSR-Izvestiya, 2:6 (1968), 1313-1335.

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations Mathematics of the USSR-Izvestiya, 2:6 (1968), 1313-1335

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:49:14.619843Z

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=2026-08-06T17:49:12.792990Z digest=sha256:a4669cfded733e9248c8e1ed63b2c94c6cbf3ac7e597f1b900cc2f9a1675302d

Observation eac74231-7090-47df-bb9f-bb9779294230 · outbound

This paper cites Casimir eigenvalues for universal Lie algebra.

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations Casimir eigenvalues for universal Lie algebra

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T17:49:12.855893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:49:12.855893Z digest=sha256:2c0bd7eb8f6f673ded7d2818d2991c3e37cbfbeb2926a76589af7fe600d0e31b

Observation 5a1562ef-08f6-4d2d-abb9-33621c145cde · outbound

This paper cites On Universal Eigenvalues of Casimir Operator.

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations On Universal Eigenvalues of Casimir Operator

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-06T17:49:14.339062Z

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=2026-08-06T17:49:12.956832Z digest=sha256:ab63c0b19783f9cfd927f488c94d75115a0c78c8cbdfc9c4f58e6a3dacf76fb5

Observation 63924461-4ba2-4f05-a153-232d5e7e9de4 · outbound

This paper cites Barut, R.

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations Barut, R

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:49:14.466594Z

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=2026-08-06T17:49:13.022684Z digest=sha256:6bdbf2cdcb62dbd9a9d90d4e58f91477855c4dbad67d0c610a7e81112b352914

Observation 8337bf39-d978-418e-86b0-49d5b9ab9e1d · outbound

This paper cites and Senechal, D.

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations and Senechal, D

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-06T17:49:13.117594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:49:13.117594Z digest=sha256:6056101221751c8852c7467aa8e2200073291218d2b5f23e5cd1bdd984cda51d

Observation 76c8acad-9764-4be8-a9cb-d538e98a5851 · outbound

This paper cites Grosshans, Semisimple Lie algebras, Lecture Notes in Pure and Applied Mathematics, V 38, 1978, https://doi.org/10.1201/9781003071778.

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations Grosshans, Semisimple Lie algebras, Lecture Notes in Pure and Applied Mathematics, V 38, 1978, https://doi.org/10.1201/9781003071778

Reference 14

Resolution
verified exact
doi, observed 2026-08-06T17:49:13.951707Z

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=2026-08-06T17:49:13.211016Z digest=sha256:c903c5250bdf9a0c5219df5970728c63978bc7d549300cb71107e41008315713

Observation 372a6f8b-df12-4810-bf8d-4f465c007fa2 · outbound

This paper cites an unresolved cited work.

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations Unresolved cited work

Reference 15

Resolution
verified exact
raw_fallback, observed 2026-08-06T17:49:14.176949Z

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=2026-08-06T17:49:13.313944Z digest=sha256:4706206903cd00852d6c466a4dab5ba2137e82887b0f3984b4f867e830c32041

Observation a296ed83-f7f7-4389-a9f0-cf2601924159 · outbound

This paper cites an unresolved cited work.

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations Unresolved cited work

Reference 16

Resolution
verified exact
doi, observed 2026-08-06T17:49:13.824002Z

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=2026-08-06T17:49:13.396262Z digest=sha256:5dea5372c71aeb184cbc0aff139550765d142ad01f0827b70426b71808ba4bde

Observation f0623a92-c923-42a1-9c89-cdcc599202b4 · outbound

This paper cites Isaev and S.O.

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations Isaev and S.O

Reference 17

Resolution
verified exact
doi, observed 2026-08-06T17:49:13.655186Z

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=2026-08-06T17:49:13.464118Z digest=sha256:223e0378bd7e9e751c4041119ff67608d424f700c529251e05fea65dcb23f953

Pith citing papers

No inbound Pith citation observations are available.