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Paper Citation Record · LEDGER

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements

As of 18 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2506.04002.

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

pith.paper-citation-record.v1
2506.04002 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:03:30.785092Z

measured 36 of 36 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 2026-08-05T22:59:40.446660Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T22:59:47.447555Z

Reference resolution

35 of 35 outbound references displayed

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External citation measurements

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Outbound references

Observation 8e58396e-c93c-44fb-9afe-405e91759b04 · outbound

This paper cites Some conjectures on the Schur expansion of Jack polynomials.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Some conjectures on the Schur expansion of Jack polynomials

Reference 1

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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.

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Observation ec6da3e3-3e82-4a8b-a4dc-8403b6866609 · outbound

This paper cites b-monotone Hurwitz numbers: Virasoro constraints, BKP hierarchy, andO(N )-BGW integral.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements b-monotone Hurwitz numbers: Virasoro constraints, BKP hierarchy, andO(N )-BGW integral

Reference 2

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Observation de79c73c-c010-40ca-a233-ebc34dfb859d · outbound

This paper cites Relating ordinary and fully simple maps via monotone Hurwitz numbers.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Relating ordinary and fully simple maps via monotone Hurwitz numbers

Reference 3

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Observation 511c0406-c0c4-4d89-b727-93ff41e7d202 · outbound

This paper cites Functional relations for higher-order free cumulants.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Functional relations for higher-order free cumulants

Reference 4

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

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Observation 2f4dee51-a8ce-4f7c-9852-7a86cfd79ec5 · outbound

This paper cites Unimodal polynomials arising from symmetric functions.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Unimodal polynomials arising from symmetric functions

Reference 5

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Observation c5312fd4-1898-491b-b642-f0d38dfba7dc · outbound

This paper cites Hermitian matrix model free energy: Feynman graph technique for all genera.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Hermitian matrix model free energy: Feynman graph technique for all genera

Reference 6

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Observation 7ceec6aa-8aab-4bac-92b3-8feb3548d238 · outbound

This paper cites $b$-Hurwitz numbers from Whittaker vectors for $\mathcal{W}$-algebras.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements $b$-Hurwitz numbers from Whittaker vectors for $\mathcal{W}$-algebras

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7085d44d-2efd-4713-a326-7cc8fc06f572 · outbound

This paper cites b-Hurwitz numbers from refined topological recursion.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements b-Hurwitz numbers from refined topological recursion

Reference 8

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Observation a085f8a5-cf4a-4f29-a697-31a1d7dc0dab · outbound

This paper cites Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability

Reference 9

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Observation 9bfa19dc-d030-4c55-a3cc-34f6ecd9f401 · outbound

This paper cites On some properties of orthogonal Weingarten functions.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements On some properties of orthogonal Weingarten functions

Reference 10

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Observation 14e3c1ef-194b-43d2-b694-8a0dc6ff3bc3 · outbound

This paper cites Weingarten calculus via orthogonality relations: new applications.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Weingarten calculus via orthogonality relations: new applications

Reference 11

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Observation 5220adc3-416e-4a8d-a79c-37d75b1e7cd5 · outbound

This paper cites The Weingarten calculus.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements The Weingarten calculus

Reference 12

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

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Observation ecce2a1c-d6f6-4055-8c23-56f115cc16e2 · outbound

This paper cites Integration with respect to the Haar measure on unitary, orthogonal and symplectic group.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Integration with respect to the Haar measure on unitary, orthogonal and symplectic group

Reference 13

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Observation e0b6f0b7-917c-4def-a61c-29e6d9b79bd9 · outbound

This paper cites Integration on complex Grassmannians, deformed monotone Hurwitz numbers, and interlacing phenomena.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Integration on complex Grassmannians, deformed monotone Hurwitz numbers, and interlacing phenomena

Reference 14

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Observation b5cec451-8ca6-4879-8193-3ba935354f59 · outbound

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From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Unresolved cited work

Reference 15

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

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Observation 871ab989-802f-4ea9-be52-e7685454df92 · outbound

This paper cites Seelinger.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Seelinger

Reference 16

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Observation 9621ae0c-4728-4f14-9d97-9b5b21e62bb1 · outbound

This paper cites Eynard and N.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Eynard and N

Reference 17

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Observation e1a13b6f-6a8c-484e-80f9-187141740ee6 · outbound

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From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Unresolved cited work

Reference 18

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Observation 7b799244-fa02-44e1-9bc6-45945ba2981a · outbound

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From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Unresolved cited work

Reference 19

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From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Unresolved cited work

Reference 20

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Observation 6aecc6f0-f76e-4be4-af4c-246736eba9ee · outbound

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From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Unresolved cited work

Reference 21

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Observation a25737fb-56a5-4e65-9247-5f5808ec1382 · outbound

This paper cites Jack symmetric functions and some combinatorial properties of Young symmetrizers.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Jack symmetric functions and some combinatorial properties of Young symmetrizers

Reference 22

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Observation f5232fa5-734f-4ee0-9cea-af5cd9b0b04c · outbound

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From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements A class of symmetric polynomials with a parameter.Proc

Reference 23

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From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Unresolved cited work

Reference 24

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Observation 119fe0ec-cce1-4cce-8bde-108da38c4971 · outbound

This paper cites Jack polynomials and free cumulants.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Jack polynomials and free cumulants

Reference 25

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Observation c7589bdb-4432-4a15-91d8-d1a02f101dc5 · outbound

This paper cites an unresolved cited work.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Unresolved cited work

Reference 26

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

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Observation ebedad83-93da-419b-889d-c02607aab59f · outbound

This paper cites Jucys-Murphy elements, orthogonal matrix integrals, and Jack measures.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Jucys-Murphy elements, orthogonal matrix integrals, and Jack measures

Reference 27

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

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Observation 6f6e92d5-dddb-4b4b-9614-37e26b15408b · outbound

This paper cites Weingarten calculus for matrix ensembles associated with compact symmetric spaces.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Weingarten calculus for matrix ensembles associated with compact symmetric spaces

Reference 28

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

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Observation 3aa2fb39-8299-4691-b9c8-6cda9bea4168 · outbound

This paper cites Jucys-Murphy elements and unitary matrix integrals.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Jucys-Murphy elements and unitary matrix integrals

Reference 29

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

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Observation 43e834b8-1785-4539-a244-30ffd6035ff0 · outbound

This paper cites an unresolved cited work.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Unresolved cited work

Reference 30

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This paper cites an unresolved cited work.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Unresolved cited work

Reference 31

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

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Observation b442251b-8935-4dfc-bc73-b7255ca51e16 · outbound

This paper cites A new approach to representation theory of symmetric groups.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements A new approach to representation theory of symmetric groups

Reference 32

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

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Observation d112604f-3df4-4123-b356-f3f8304dc14c · outbound

This paper cites Refined topological recursion revisited: properties and conjectures.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Refined topological recursion revisited: properties and conjectures

Reference 33

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

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Observation da2af180-e34e-40aa-99fe-3e5e20219e2d · outbound

This paper cites an unresolved cited work.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Unresolved cited work

Reference 34

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unresolved
raw_fallback, observed 2026-08-07T11:03:31.613816Z

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=2026-08-07T11:03:30.658696Z digest=sha256:ec3fe242a330dbb53d94ca2b6b04a4f516359901032205a142f3ec3abf28967b

Observation 97a6101c-4e54-411c-83f7-524a52eb9599 · outbound

This paper cites Asymptotic behavior of group integrals in the limit of infinite rank.

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements Asymptotic behavior of group integrals in the limit of infinite rank

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:31.441281Z

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=2026-08-07T11:03:30.785092Z digest=sha256:042e7f13c0739d6b13e5e0dfd505ceb7a57750e40d6f7c821568f7abb9e27056

Pith citing papers

Observation 03769299-ce21-43c7-bba6-7c97518ff0df · inbound

A refined twist on Hurwitz numbers cites this paper.

A refined twist on Hurwitz numbers From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-05T22:59:47.575600Z

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=2026-08-05T22:59:40.446660Z digest=sha256:8236716d754f3a47c907e57e7cfb10740653af3d3985d43691ca3d6350443234