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Paper Citation Record · LEDGER

On the enumeration of double cosets and self-inverse double cosets

As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2506.04007.

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

pith.paper-citation-record.v1
2506.04007 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:04:00.503238Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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 exact1
  • verified fuzzy13
  • unresolved2
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bb773c8d-ab99-4a2c-9c68-7a6e14f60cd2 · outbound

This paper cites How large is the character degree sum compared to the character table sum for a finite group?.

On the enumeration of double cosets and self-inverse double cosets How large is the character degree sum compared to the character table sum for a finite group?

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:04:00.537359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation e19ccc51-9ac4-44e8-a430-4f646ecd2688 · outbound

This paper cites Billey, Matjaˇ z Konvalinka, T.

On the enumeration of double cosets and self-inverse double cosets Billey, Matjaˇ z Konvalinka, T

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:04:00.747108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:04:00.446046Z digest=sha256:57051b196bfd4edd52f803bb73abdbbdd4a1b1313db67b7740a465bb5971c192

Observation 43091c34-0acd-451b-b397-ad10b02c812e · outbound

This paper cites Statistical enumeration of groups by double cosets.Journal of Algebra, 607A:214–246, 2022.

On the enumeration of double cosets and self-inverse double cosets Statistical enumeration of groups by double cosets.Journal of Algebra, 607A:214–246, 2022

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:04:00.732994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 5bbe954c-4c22-4eb6-861a-f7d9523c8398 · outbound

This paper cites Dummit and Richard M.

On the enumeration of double cosets and self-inverse double cosets Dummit and Richard M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:04:00.718454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:04:00.454082Z digest=sha256:8e3bef8e3a11df84d0919ba6fb8197eb38d5e8302c3da92ad23ab59d911627d5

Observation da3ddfe1-4d40-4eff-8946-c2eaaf0f6c5e · outbound

This paper cites an unresolved cited work.

On the enumeration of double cosets and self-inverse double cosets Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:04:00.704238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:04:00.457890Z digest=sha256:7cf4cee624dacae341147c07a2444114fb4c81829b52b5b81d986a399b720ef8

Observation b100cffb-4ed5-4315-b1db-c074b1ce62e3 · outbound

This paper cites Jordan types of triangular matrices over a finite field.Arnold Mathe- matical Journal, (8):543–559, 2022.

On the enumeration of double cosets and self-inverse double cosets Jordan types of triangular matrices over a finite field.Arnold Mathe- matical Journal, (8):543–559, 2022

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:04:00.690326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:04:00.461242Z digest=sha256:e12d8899cdd5694e0856f9f4938a49f1d33bc3db0f9634c1f0a2c6c4a95fb8ea

Observation 92440976-880a-4a88-a99f-fd204a14c221 · outbound

This paper cites Counting tensor model observables and branched covers of the 2-sphere.Annales de l’Institut Henri Poincar´ e D, 1:77–138, 2014.

On the enumeration of double cosets and self-inverse double cosets Counting tensor model observables and branched covers of the 2-sphere.Annales de l’Institut Henri Poincar´ e D, 1:77–138, 2014

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:04:00.676524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 795e5f3b-983c-4b40-aff4-e0b94b203b3c · outbound

This paper cites Goulden and David M.

On the enumeration of double cosets and self-inverse double cosets Goulden and David M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:04:00.662634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:04:00.469947Z digest=sha256:ab759983af818fcad2b8f24e6dc567b7b3b20f15858f3e8d4b27204ae0a25835

Observation 761ffcc2-6788-4fbf-bdb3-dd2d75fb8c1b · outbound

This paper cites Academic Press, 1976.

On the enumeration of double cosets and self-inverse double cosets Academic Press, 1976

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:04:00.651304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:04:00.473955Z digest=sha256:06025d86634405578aec115a260d10087ccf16f1600c3deaa47efb4783741cdf

Observation a9d11fe1-2a2e-4e19-8ce9-145ea5fbe88f · outbound

This paper cites an unresolved cited work.

On the enumeration of double cosets and self-inverse double cosets Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:04:00.639952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:04:00.477569Z digest=sha256:17fea6093bef5628692fb88ad60aecaba1a67ec6b3cf72b802a8a4979a6643f3

Observation 55bad349-f042-4c4b-91da-92fbd2f123b9 · outbound

This paper cites Computing the number of the equivalence classes for reversible logic functions.International Journal of Theoretical Physics, 59(8):2384–2396, 2020.

On the enumeration of double cosets and self-inverse double cosets Computing the number of the equivalence classes for reversible logic functions.International Journal of Theoretical Physics, 59(8):2384–2396, 2020

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:04:00.627427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 5c0e30a4-cad9-4063-a451-c2e6a3e94f10 · outbound

This paper cites Macdonald.Symmetric functions and Hall polynomials.

On the enumeration of double cosets and self-inverse double cosets Macdonald.Symmetric functions and Hall polynomials

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:04:00.613824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:04:00.485642Z digest=sha256:7762af265d46e539163045815172d4662ec486e4a1752a778be73eba8222fc33

Observation 555893f7-ff62-4a14-a634-be98a3c99566 · outbound

This paper cites Morrison.

On the enumeration of double cosets and self-inverse double cosets Morrison

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:04:00.599409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:04:00.489015Z digest=sha256:5dcd7fe90884256979ccfc94869f11bc0171fe31b3bad36c537558ce6181ee5a

Observation f8448356-d75e-48ed-8b6f-b3bb21393323 · outbound

This paper cites The On-Line Encyclopedia of Integer Sequences.

On the enumeration of double cosets and self-inverse double cosets The On-Line Encyclopedia of Integer Sequences

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:04:00.586911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:04:00.492741Z digest=sha256:f5e82505f140d599aa911bb82f1a4d78489c1bd13a283c3a6e58ea7c77d586e9

Observation 888a8a7f-aa89-46c5-84ae-a018929cb5aa · outbound

This paper cites Sage-Combinat: enhancing Sage as a toolbox for computer exploration in algebraic combinatorics, 2024.https://wiki.sagemath.org/combinat.

On the enumeration of double cosets and self-inverse double cosets Sage-Combinat: enhancing Sage as a toolbox for computer exploration in algebraic combinatorics, 2024.https://wiki.sagemath.org/combinat

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:04:00.575349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:04:00.496459Z digest=sha256:a0131c8b0eb7375f473ea022ce839e350d9e1ee8c9ef556dee6c812eed56ad04

Observation ffd7a86a-bf8e-4176-a720-58a075f305a2 · outbound

This paper cites Stanley and Sergey Fomin.Enumerative Combinatorics, volume 2.

On the enumeration of double cosets and self-inverse double cosets Stanley and Sergey Fomin.Enumerative Combinatorics, volume 2

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:04:00.561402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 4124f690-9209-4eff-9343-a39aae840743 · outbound

This paper cites Sagemath, the Sage Mathematics Software System (Version 10.2), 2023.

On the enumeration of double cosets and self-inverse double cosets Sagemath, the Sage Mathematics Software System (Version 10.2), 2023

Reference 17

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T11:04:00.549720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Pith citing papers

No inbound Pith citation observations are available.