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Paper Citation Record · LEDGER

On Frobenius-Perron Dimension

As of 14 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1909.01693.

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

pith.paper-citation-record.v1
1909.01693 v3

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:15:41.097001Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

30 of 30 outbound references displayed

  • verified exact3
  • verified fuzzy23
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ae833f0d-97eb-4b2e-85c2-a41654e0598f · outbound

This paper cites Agnihotri, Quantum cohomology and the verlinde algebra , Ph.D.

On Frobenius-Perron Dimension Agnihotri, Quantum cohomology and the verlinde algebra , Ph.D

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation e0588fb3-96db-4a78-b1c5-9c169813cd4a · outbound

This paper cites an unresolved cited work.

On Frobenius-Perron Dimension Unresolved cited work

Reference 2

Resolution
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raw_fallback, observed 2026-08-14T05:15:41.516510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c5028541-c435-4051-b844-9d3c0c1380db · outbound

This paper cites Belkale, Quantum generalization of the Horn conjecture , J.

On Frobenius-Perron Dimension Belkale, Quantum generalization of the Horn conjecture , J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.502715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation fb487477-5ea1-4904-b676-e0c82abafdb5 · outbound

This paper cites Berman, R.J.

On Frobenius-Perron Dimension Berman, R.J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.489326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c52bd6fa-fced-4b44-a796-ea33849026db · outbound

This paper cites Frobenius-Perron Theory of Endofunctors.

On Frobenius-Perron Dimension Frobenius-Perron Theory of Endofunctors

Reference 5

Resolution
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local_arxiv, observed 2026-08-14T05:15:41.187773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 331a79fd-d349-4b5b-bbe5-c86d524a4ef2 · outbound

This paper cites Galkin's Lower bound Conjecure for Lagrangian and orthogonal Grassmannians.

On Frobenius-Perron Dimension Galkin's Lower bound Conjecure for Lagrangian and orthogonal Grassmannians

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:15:41.169732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 53db1a19-4d14-45f9-b3be-a3a6cf8dff78 · outbound

This paper cites Cheong and C.

On Frobenius-Perron Dimension Cheong and C

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.475904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.001225Z digest=sha256:2a33692fe66a837fc0e335d9d9fdde4ea6cd4629a817cf089dbf92320ccd3881

Observation f4d65ce3-54a2-4478-9ec2-e1c5714dbca0 · outbound

This paper cites Doplicher, J.E.

On Frobenius-Perron Dimension Doplicher, J.E

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.462186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.005656Z digest=sha256:811b63454f9f48c2c43f0946f2cbf65766c86db2e47d3f1ef6a7cf4dcfd5e5f3

Observation 2be14c25-6f07-40a8-9f5b-6896ab67ad65 · outbound

This paper cites Etingof, S.

On Frobenius-Perron Dimension Etingof, S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.448387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.009839Z digest=sha256:aa4faf4458761a5bba13ad886e4ec0c4090863e39a9d3d5d1432ac66b5a5efed

Observation dd9edc3f-c078-4627-a76a-a15683f64742 · outbound

This paper cites Etingof On Vafa’s theorem for tensor categories Math.

On Frobenius-Perron Dimension Etingof On Vafa’s theorem for tensor categories Math

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.434994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.013798Z digest=sha256:2378fea2aa023f60d9d81728b22cc4a9449ed0558635a9605e253c5341e900e4

Observation e1966bb2-8cf1-4aa8-aec4-94ec275555e8 · outbound

This paper cites Frobenius-Perron dimensions of integral $\Bbb Z_+$-rings and applications.

On Frobenius-Perron Dimension Frobenius-Perron dimensions of integral $\Bbb Z_+$-rings and applications

Reference 11

Resolution
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local_arxiv, observed 2026-08-14T05:15:41.149594Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation ad27933e-5244-44ef-8241-d63dc53bbea6 · outbound

This paper cites Etingof, D.

On Frobenius-Perron Dimension Etingof, D

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.421394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 1a9be7e9-067a-48e0-aa41-9789f0fe75c7 · outbound

This paper cites Etingof, V.

On Frobenius-Perron Dimension Etingof, V

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.026724Z digest=sha256:b4b1d9b44731605fd14c4b145251d50e4f0c9631b4f2341c9e2ae016aee16dcc

Observation 65e4bcd0-71ff-4875-8f30-354368b49e83 · outbound

This paper cites Evans, L.

On Frobenius-Perron Dimension Evans, L

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.030852Z digest=sha256:ceffcd06b1e8cdd264a67c65c010e3b9bc12e6a8525fd7f930c2b05c0c925a86

Observation 93577836-2598-436d-8039-39e43ad44f23 · outbound

This paper cites Fr¨ ohlich, T.

On Frobenius-Perron Dimension Fr¨ ohlich, T

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.034943Z digest=sha256:8ca4bfdb579808af8c4ec6fba7acfa396a0262e8927ae4972dd4b3361c25c93b

Observation 15093172-b456-463d-812f-8b54c746448d · outbound

This paper cites Fulton, Young tableaux.

On Frobenius-Perron Dimension Fulton, Young tableaux

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.365974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation fca5811d-6931-4ab3-b8c6-9afcdc70fe8a · outbound

This paper cites The conifold point.

On Frobenius-Perron Dimension The conifold point

Reference 17

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 6bc5d421-11bf-4618-af53-f658b72c7609 · outbound

This paper cites Galkin, V.

On Frobenius-Perron Dimension Galkin, V

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.353386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.048467Z digest=sha256:4b8a00cce195429b7cade9370881295f6bf96f3028f923dc9909e71bd562d367

Observation ad5a440e-0406-4b0b-b011-73f530e97e89 · outbound

This paper cites an unresolved cited work.

On Frobenius-Perron Dimension Unresolved cited work

Reference 19

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raw_fallback, observed 2026-08-14T05:15:41.341255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.052381Z digest=sha256:29c3f376f5e468bc883f5e953e13a28dffcbdf349a6f63a4a99f86784819f7b5

Observation ad816586-66a1-457c-9aad-fdde8a320a25 · outbound

This paper cites an unresolved cited work.

On Frobenius-Perron Dimension Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:15:41.328515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 5c9a2e36-88e3-4c14-93a2-1d5e7f394f87 · outbound

This paper cites Jones, Index for subfactors , Invent.

On Frobenius-Perron Dimension Jones, Index for subfactors , Invent

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.316978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation f6a77406-48f9-45e7-aeef-7ac063a06079 · outbound

This paper cites Longo, J.E.

On Frobenius-Perron Dimension Longo, J.E

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.305260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 64fcce2f-59bc-459a-afc8-40c6c9f60b6e · outbound

This paper cites Neshveyev, L.

On Frobenius-Perron Dimension Neshveyev, L

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.292837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.068124Z digest=sha256:c1f4833c244079c7a3fda5ed1adb0e271bc1d21757a0607e5dd6fda8c870402c

Observation 69087b8a-5473-4b29-b405-ddbe8cc113b6 · outbound

This paper cites Popa, Sorin, Classification of amenable subfactors of type II , Acta Math.

On Frobenius-Perron Dimension Popa, Sorin, Classification of amenable subfactors of type II , Acta Math

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.280701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.072037Z digest=sha256:4e4f0510b9561a2d81f9ad37626d0920a72dee1ef2030b2a7208a0e41052ba82

Observation 9acea298-b4e4-4045-a7ac-c872a02420de · outbound

This paper cites Rietsch, Quantum cohomology rings of Grassmannians and total positivity , Duke Math.

On Frobenius-Perron Dimension Rietsch, Quantum cohomology rings of Grassmannians and total positivity , Duke Math

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.267383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.075823Z digest=sha256:0ef3731dea41d767ff0f18787e1c3f1d57162b67e78ab899475e91e04e28b7e6

Observation 156933e0-ee6e-43de-adc2-37d32707ed1e · outbound

This paper cites Robinson, Representation theory of the symmetric group , Mathematical Expositions, No.

On Frobenius-Perron Dimension Robinson, Representation theory of the symmetric group , Mathematical Expositions, No

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.254383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.079571Z digest=sha256:84a4c563246df14f258cfb1df26b95c08cbb2a646ec87dd14361948168872b06

Observation fd97ef16-3d47-4cf8-a470-9b010ace53b3 · outbound

This paper cites Shifler, S.

On Frobenius-Perron Dimension Shifler, S

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.240812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.083837Z digest=sha256:cec77ac4aa54e27cda32104aff01272b073fac1749018ae03f6c64ba987d8a9f

Observation 8a4fba8f-438c-4805-8cda-b065dc977706 · outbound

This paper cites Verlinde, Fusion rules and modular transformations in 2D conformal field theory, Nuclear Phys.

On Frobenius-Perron Dimension Verlinde, Fusion rules and modular transformations in 2D conformal field theory, Nuclear Phys

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.226280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.089090Z digest=sha256:0bf91c58f8b1e0172263b76cc22bcb31ddd96aff82ffc74645eecff96f221b4f

Observation ff834635-361d-4285-8c38-89c2b84a7986 · outbound

This paper cites Wicks, Frobenius-Perron theory of modified ADE bound quiver algebras , J.

On Frobenius-Perron Dimension Wicks, Frobenius-Perron theory of modified ADE bound quiver algebras , J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.213161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.093211Z digest=sha256:0d48c3a9676680a4f491e901f4210c59196120f788972cc421531b7380d99a30

Observation 33578f94-b074-4c3e-9d24-5fbd36ab40df · outbound

This paper cites Witten, The Verlinde algebra and the cohomology of the Grassmannian , Geometry, topol- ogy, and physics, 357–422, Conf.

On Frobenius-Perron Dimension Witten, The Verlinde algebra and the cohomology of the Grassmannian , Geometry, topol- ogy, and physics, 357–422, Conf

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:41.200776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:15:41.097001Z digest=sha256:56ef0ab5164b111ea71aaa250612231ba112a6a0da0b13d86e9e7c3739a87592

Pith citing papers

No inbound Pith citation observations are available.