Pith. sign in

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=sha256:853fa2cac7f4fc4b9ef7754f1fc345fd0ced69017d9395499f9946be877e2f12

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=sha256:7f6f4a5cc72fe8450f6eb2b37a28abfe58070eb0a1b98e66775c68d71908eac0

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=sha256:794502bd3bb2b55273681141945a6adcb0cae48dea3d32aab53fe9c687cd6e76

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=sha256:1ad2add9305826ac990f61d02cbb7b27b9ef672e4f3a84e37b6f88d26d7f0045

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:dc14c9aab7fad379107c108a2219285aad16c763c8125c091f21ab50ecfc9899

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=sha256:255fa505adf28370e66bf33ac37a2c43ac0315ebc47e60b25b55f8ab26ee3413

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:d7503a6188a9523a7342fdb20c7199b0fcb89fee0b2ad298a31ef6d5efaa3891

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=sha256:10aba1be68a09c0bba95b7540b70b75baad67462be3c99fc2f2cca8254692f70

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=sha256:52f42ba3ebe0eeb6b924a557fa9022bc0cc72df994bc5b13fb8dae37e764d5d9

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:c234f2f42911e1a5cdda502bc86f5e3801cab741e1dbe4aba1d3b7f510f07429

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=sha256:0fc378dff46dad59e1c4611d48bac659a85d753f9ba39bf273297184e83d0e34

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:d222f637c5b5ebd17eca2e05890d16886bce4eef9c59402a72db6a3bafa8d66d

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:abf78c183e0309e96600531dadce5c7f11f054001c2ab465d705c7bd9ee89911

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=sha256:7b638c2df9e22f7699aca0e240640d03695ce7e5f64c3cbe9d85cdb7b36e7838

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=sha256:9aa6f7885c2f995719f82d213cc313409ee832c339042115dabbbe77deb25230

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=sha256:4b88ae63e1e795c8e236389e2ae96e060e4ce9c5673b2f1ca568b7c09a74fe83

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=sha256:9eacd81188d7ea3a82513fd0bcbad7fd7a2cf7203709febde2dbb004b1edfac2

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:f9e3dd9026e6527809efa0126a59e82df23306fdf997c15c9582e4ef1c10cd81

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:f3687a3bbb06c75c92902f581b3b9f34da54c38da787eba39057945acb68f40f

Pith citing papers

No inbound Pith citation observations are available.