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Paper Citation Record · LEDGER

Congruences in character tables of symmetric groups

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.03741.

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

pith.paper-citation-record.v1
1908.03741 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:10:44.190915Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

19 of 19 outbound references displayed

  • verified exact3
  • verified fuzzy7
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7fb10d81-e2d3-47b9-ba49-75b223102d83 · outbound

This paper cites Burnside, On an arithmetical theorem connected with roots o f unity, and its application to group-characteristics.

Congruences in character tables of symmetric groups Burnside, On an arithmetical theorem connected with roots o f unity, and its application to group-characteristics

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:45.126802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:43.949360Z digest=sha256:c6f4ffa89565a4819e8ffa96585607399b76a655ef628a3900586370fd8f92d8

Observation b91be936-aae0-40da-97f0-994729edb792 · outbound

This paper cites Com´ et, Notations for partitions.

Congruences in character tables of symmetric groups Com´ et, Notations for partitions

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:45.086139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:43.958781Z digest=sha256:d88029b4a75536a7cbb730103b4b0985de45c20aa1a30b3337aa27c881b7edb1

Observation 260215a6-bc8d-42ea-a0fc-4e4b00db159e · outbound

This paper cites Frobenius, ¨Uber die Charaktere der symmetrischen Gruppe.

Congruences in character tables of symmetric groups Frobenius, ¨Uber die Charaktere der symmetrischen Gruppe

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:45.065560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:43.969824Z digest=sha256:ec9c40bd032be98b3903cca9733f1c30a8fdde15b30fdd569dec0d787b61e516

Observation 62f150a7-f7dc-457d-812f-98a94e109046 · outbound

This paper cites an unresolved cited work.

Congruences in character tables of symmetric groups Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:45.025711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:43.983329Z digest=sha256:2d741367d033bcd46ffa8dab7791fe1c2a919108effaa004b1eba1423707b09c

Observation 52d869bc-bab5-4e38-8956-f115c8bfa119 · outbound

This paper cites an unresolved cited work.

Congruences in character tables of symmetric groups Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:44.965460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:44.002972Z digest=sha256:5a41b491c15e392aaafd6198fb1468f0af528d962185b308fec84d4c170b69fc

Observation 6e864b5d-6e34-4421-a0c7-901cd7b7d573 · outbound

This paper cites Gluck, Parity in columns of the character table of Sn.

Congruences in character tables of symmetric groups Gluck, Parity in columns of the character table of Sn

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:44.909850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:44.014914Z digest=sha256:f076a8b63ab3209de469f62c7bff7c89fec6ba8b282ef98ae0b1593768ab9f7e

Observation 8719c9b2-f127-4dbe-9065-689cd7a6b50e · outbound

This paper cites an unresolved cited work.

Congruences in character tables of symmetric groups Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:44.885921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:44.023168Z digest=sha256:5021e58e8e61e3bef7fbbee9961f15c2d1f8fe22a4bdc67312c1fb8848038ecc

Observation dfb3260b-440b-44cc-8af3-99cd1d04356c · outbound

This paper cites The sparsity of character tables of high rank groups of Lie type.

Congruences in character tables of symmetric groups The sparsity of character tables of high rank groups of Lie type

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:10:44.385096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:44.032969Z digest=sha256:9baa091575c108f485bb2ef015df27f0537f29b0b958b848273e387459a64596

Observation 68f340ec-10b5-41c2-b14e-74a9ef5788f2 · outbound

This paper cites an unresolved cited work.

Congruences in character tables of symmetric groups Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:44.853464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:44.037766Z digest=sha256:e396164f3f220ae06f087ca83c90dec7dc6ad02c61b81d92b81d560047e90c13

Observation df960a17-45de-4212-80d4-784f16d9a3c8 · outbound

This paper cites an unresolved cited work.

Congruences in character tables of symmetric groups Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:44.828874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:44.045530Z digest=sha256:0bf29104280464bedce424167b00350697b14b20330dab4831fe7337f11b2eb8

Observation 2963fcc2-78cf-4cc0-981e-00213a2c4033 · outbound

This paper cites McKay, Irreducible representations of odd degree.

Congruences in character tables of symmetric groups McKay, Irreducible representations of odd degree

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:44.797490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:44.053219Z digest=sha256:9aae37f7a839687e70d95e957065fc3ba6b806dc6f1df9ce6bfa00a6d4366393

Observation 4b010161-53b8-46aa-822a-c36e4bae4eca · outbound

This paper cites an unresolved cited work.

Congruences in character tables of symmetric groups Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:44.730725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:44.060575Z digest=sha256:8930ab2c64aeb05b8c2d1450748e9daccbdde1867521ace897891ee7deccce0e

Observation 71b4606c-4f0c-4bc5-89ed-d138f5e197be · outbound

This paper cites an unresolved cited work.

Congruences in character tables of symmetric groups Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:44.700810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:44.073013Z digest=sha256:970acb0d30e8ae79db24cf9aaeaff623ad87bc67bf72499ee5862c68dc665064

Observation aeeb567f-18d4-424c-84de-9c222097d57a · outbound

This paper cites Morotti, On divisibility by primes in columns of character tables o f symmetric groups.

Congruences in character tables of symmetric groups Morotti, On divisibility by primes in columns of character tables o f symmetric groups

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:44.641160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:44.085957Z digest=sha256:62f8462ac8a01290fcd85a9847742aa0962a1f2d72879e3658d364df488dff45

Observation 2a616064-290f-4161-81b1-b66a27acd17b · outbound

This paper cites an unresolved cited work.

Congruences in character tables of symmetric groups Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:44.568680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:44.098536Z digest=sha256:91b9fc40ee70bc11c7eeda8067768ffbb1b158ac35887f26ec8ef2e9a437c28b

Observation 793d7a80-b493-4ae3-b8e6-f9fbd8e9619c · outbound

This paper cites Nakayama, On some modular properties of the irreducible rep resentations of a symmetric group I, II.

Congruences in character tables of symmetric groups Nakayama, On some modular properties of the irreducible rep resentations of a symmetric group I, II

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:44.502181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:44.145061Z digest=sha256:40648e66a957c41cef57dcecd3e7203e301b7cd77d1101f99c9820e2c853cf35

Observation 76a76f2e-588c-48a0-b3e2-0ae8869af0ae · outbound

This paper cites On even entries in the character table of the symmetric group.

Congruences in character tables of symmetric groups On even entries in the character table of the symmetric group

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:10:44.312820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:44.156698Z digest=sha256:545dc76a851b487fac3a2555fb955b9797913a7a7d56122bf905795c9f8f84e9

Observation 0aa20850-8053-4bf3-b946-2c0db095774b · outbound

This paper cites Almost all entries in the character table of the symmetric group are multiples of any given prime.

Congruences in character tables of symmetric groups Almost all entries in the character table of the symmetric group are multiples of any given prime

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:10:44.275044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:44.174777Z digest=sha256:71bd2f3d59edad03ee09889732f25076e5a28eaabd136fe56f4fbd599c026eac

Observation 5760d958-7dac-4dff-a511-f2188dd1704b · outbound

This paper cites an unresolved cited work.

Congruences in character tables of symmetric groups Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:44.449979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:44.190915Z digest=sha256:bdcab3a5b804a8823785ff0d6fe85402c5da974b9da70ccc62965d8262232f59

Pith citing papers

No inbound Pith citation observations are available.