Pith. sign in

Paper Citation Record · LEDGER

Arithmetic invariants for finite simple and related groups

As of 22 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2608.12783.

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

pith.paper-citation-record.v1
2608.12783 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:31:40.884097Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

35 of 35 outbound references displayed

  • verified exact2
  • verified fuzzy14
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 56005ef5-ff42-46ed-9348-6f95d7793a99 · outbound

This paper cites Alavi, On groups with the same character degrees as almost simple groups with socle small Ree groups, Commun.

Arithmetic invariants for finite simple and related groups Alavi, On groups with the same character degrees as almost simple groups with socle small Ree groups, Commun

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:31:41.257741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.768570Z digest=sha256:7402df60a253c2eb1b6b75d55296c654447d57f51d333d51f3a4ed156ffa5e68

Observation d9e4e867-1182-4dcd-942d-12383b9486f1 · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:41.248083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.772395Z digest=sha256:00d3cb29d12c6ac7222e661089386d1bed9d07e031d732fe7de43720971554f4

Observation d7a2b397-6b83-446b-954f-95a890866e5e · outbound

This paper cites Brauer, Representations of finite groups, pp.

Arithmetic invariants for finite simple and related groups Brauer, Representations of finite groups, pp

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:31:41.239046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.775875Z digest=sha256:8281f1541990a9fbc05e41c451a8f8a98cd099319f5551c6f19e59b35d2c7020

Observation 0f11f9c6-3fdf-4ee0-83a1-9becf1137182 · outbound

This paper cites Bessenrodt, H.

Arithmetic invariants for finite simple and related groups Bessenrodt, H

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:31:41.229937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.779030Z digest=sha256:cb0b18df9d09111aba49f25ecf95c5545708cbc2c6c4a543ebc44a6ced43773a

Observation 0b5ce449-a103-4732-b21d-4d50564372e0 · outbound

This paper cites Brachter and P.

Arithmetic invariants for finite simple and related groups Brachter and P

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:31:41.220791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.782677Z digest=sha256:9d32868b6cbccb929c84dfe93bc8d44a1c2d29a6e1e10ce34161581b4b5a8f72

Observation de079296-1514-4a1b-ae52-7ca6a7245241 · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:41.211918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.786106Z digest=sha256:6ee119bf257da0ba47794361c3c2233374a1df5874d43dfa264dadebb02de686

Observation 31a141f2-574c-4ffa-8f7b-cfe71ed7c4dc · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:41.202550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.789685Z digest=sha256:59c87fefeca386dcc27393c72dc774f1fceba0837e1df2f8135a7bfe3e96b098

Observation de4bb74c-e859-438b-838f-42ceff14d636 · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:41.193593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.792840Z digest=sha256:52d1ea5e29df4424ad4093f3db920b34e0f81b05dbe18087a4f9405afac43ea3

Observation 08f987ac-4d8d-430d-ad03-a76597408a3a · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:41.184810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.796018Z digest=sha256:701362fc1e454578c85ba0b3d8660b06c74ff2511e2c9a4c1d44ab4bd26a2fe0

Observation b403f5ba-0d12-4401-9d3c-3fb0819477fe · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:41.175710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.799584Z digest=sha256:04c7441c8e85f008b087fcc25bb047f96257e4c379e921de6c840fa46b5ab8b1

Observation 84fa9832-7c63-4fdb-aa13-8e0b269a8e0c · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:41.166574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.802788Z digest=sha256:33a4e0d8c1badc044b7699b5921762091c9c098ae5e2a0ee5735ed8f25ce91ac

Observation 5d9d4b95-2193-43a9-828a-bb549f4139c0 · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:41.156598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.806148Z digest=sha256:143ab76ba885422e7d225005a15127b34de12e520889066fbf1f253e12e91822

Observation 02b34d9e-c388-4797-8a59-b4f847b026b2 · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:41.145264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.809674Z digest=sha256:d524c3fdb2b55fa20e90c63fa15f65887f5b2598d27a802154454a4a2dab3f9d

Observation 9deffc2d-754b-48c2-890f-804cdec01e98 · outbound

This paper cites Characterization of the alternating and symmetric groups by the order and conjugacy class sizes.

Arithmetic invariants for finite simple and related groups Characterization of the alternating and symmetric groups by the order and conjugacy class sizes

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-15T23:31:40.943218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.812748Z digest=sha256:93d688ea796749794d0003d3b6de029345ed9fc869e74e0b82eceb7ca5f109d8

Observation fad9e95f-ab46-4af6-b00a-d9789eaf7120 · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:41.135588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.817324Z digest=sha256:e52e353ae80d7dc2fc3fa4f9766ab504a1b5c1552ca19284dbe4d99e69552699

Observation 4c1c941a-d488-4c7d-aff4-0a20a4cd8af9 · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:41.125912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.820768Z digest=sha256:cde1a9db655c0dd579eb5a3e99f67278d4349d7773e6a302ab5c5fe125cb250b

Observation 9f99ab9d-bfa1-4302-8dd1-4c8aa31d0df9 · outbound

This paper cites Heydari, N.

Arithmetic invariants for finite simple and related groups Heydari, N

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:31:41.116304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.823853Z digest=sha256:9e91aaf0199d9bb0c4a57baf90c12ced2e75e9ebd96d1d276818b74d2edfea49

Observation aab75774-4701-4493-991c-1924bcdb511e · outbound

This paper cites Huppert, Some simple groups which are determined by the set of their character degrees.

Arithmetic invariants for finite simple and related groups Huppert, Some simple groups which are determined by the set of their character degrees

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:31:41.106443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.827041Z digest=sha256:947c8d7a99f47f6dc40ee8f9e28c439dc02ae0c857f20272e018ab0315ff829b

Observation bce8b830-ae09-4ed4-8719-5b56cffe2bf0 · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:41.096450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.830275Z digest=sha256:ab9026e6c5d9a24c9bbea9944d676ee9fc55c15b27cdcb6e674f3c39d6ba487e

Observation da888421-2f41-4d90-bf71-e5df974ef10d · outbound

This paper cites Unsolved Problems in Group Theory. The Kourovka Notebook.

Arithmetic invariants for finite simple and related groups Unsolved Problems in Group Theory. The Kourovka Notebook

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-15T23:31:40.833644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T23:31:40.833644Z digest=sha256:8d7484e39a3f28e6ad28928984bc5e0753f24209d03fded41fc1356c9b0df1bd

Observation a8042cc3-c721-4f34-acca-1c7cbce51f90 · outbound

This paper cites Kimmerle, F.

Arithmetic invariants for finite simple and related groups Kimmerle, F

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:31:41.086775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.837606Z digest=sha256:7db8b11a58ea31a88e70ea88cbbd12abf5fc116f27e0a2a39335fa1fa2789b14

Observation c278d7b3-2f0a-4b85-b77c-efbe8c2e75c3 · outbound

This paper cites A note about solvable and non-solvable finite groups of the same order type.

Arithmetic invariants for finite simple and related groups A note about solvable and non-solvable finite groups of the same order type

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-15T23:31:40.918657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.841253Z digest=sha256:139b9800f9d2bba78f4ccd19c4d3abf00448943b7a10a63296e7a9af71e67ff1

Observation 42ea62cc-7ff9-4496-8bea-c9db18e9ed94 · outbound

This paper cites Piwek, Solvable and non-solvable finite groups of the same order type, Alg.

Arithmetic invariants for finite simple and related groups Piwek, Solvable and non-solvable finite groups of the same order type, Alg

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:31:41.076046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.844696Z digest=sha256:1524cb93ce1defded450a9aa478fecc709c8580060e7aaf6a29dd73060e2d407

Observation ec18b75e-3e62-4d7f-a0ea-b651c40de1c0 · outbound

This paper cites Shirjian, A.

Arithmetic invariants for finite simple and related groups Shirjian, A

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:31:41.065172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.847904Z digest=sha256:9ceb8bd87ac87d91ff0a060b658b746dc11a14d0d4af834970b40deae8cca950

Observation 6fe1f8d2-6979-4176-b875-f7c62252f9c1 · outbound

This paper cites Shirjian, A.

Arithmetic invariants for finite simple and related groups Shirjian, A

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:31:41.055495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.851024Z digest=sha256:892ea7cddff5331709c3e430071d9b641ecfdd3255c3391164a46387031f1e75

Observation 1a956d43-9346-4009-9e75-a285e29a4268 · outbound

This paper cites Shirjian, A.

Arithmetic invariants for finite simple and related groups Shirjian, A

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:31:41.045415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.854407Z digest=sha256:1ca5a60364e9cc279b548b68c5d61d0eedc352f509734fda02ace1e96d7b0de3

Observation 233812bc-ba09-46ae-a9fb-cd256398f491 · outbound

This paper cites Shirjian, A.

Arithmetic invariants for finite simple and related groups Shirjian, A

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:31:41.035432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.857676Z digest=sha256:f591d401d0980588311e3590161866fb56a282edc25b11f6b64b32f0dd53662f

Observation 67fe9aad-1b4c-4ef9-ac2c-1a19d3002b08 · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:41.024294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.861092Z digest=sha256:7b105bb27e5036c6b30bd220864af9812320d3a3b5129673e56b743e05690a71

Observation 601f8dc3-7085-4323-b0a7-2b1002a85de4 · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:41.014624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.864504Z digest=sha256:373a2fe3c616632dac2f6e194ac4400ab489a96ee5230e5b4693dfa24bd56896

Observation 368bdf54-8067-4afc-be5b-37a1f3d9135a · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:41.005189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.867646Z digest=sha256:bf7296de675dde628e495af3d1a22ea568a6486e164163b326827eb02be51372

Observation ac455270-4337-456d-ab6e-2691b51e1f13 · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:40.994842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.870845Z digest=sha256:b00fd71647c1cc583b6bfedfa99d4c15c7dda69c7ade622e75f08e113a71f5a8

Observation 9c5d5d0a-b2ab-4f10-addd-88b2bca0cfa8 · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:40.984899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.874299Z digest=sha256:a17ccdcbc308c5c853fefeb997719b09a3e26d21dd11d44a42b6448ebd43e080

Observation 130bfc27-0fc7-4c3e-98da-f1d66d498a32 · outbound

This paper cites Shi, Quantitative characterization of finite simple groups: a complement, Int.

Arithmetic invariants for finite simple and related groups Shi, Quantitative characterization of finite simple groups: a complement, Int

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:31:40.974476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.877562Z digest=sha256:78823f9d58860f09d7369e27dbd1a99bb1d11847774fa4ce1f9599b7b7e65760

Observation 9cea3bca-17e2-4973-b3b1-710964e0c62b · outbound

This paper cites an unresolved cited work.

Arithmetic invariants for finite simple and related groups Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:31:40.963715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.880896Z digest=sha256:2fdb380741dab538494c24ecc9a21cbe63412703455e135adf73572fb73819bd

Observation d727ecaa-8484-4c8b-bea9-39c658c6abea · outbound

This paper cites Yoshida, On the Burnside rings of finite groups and finite categories, pp.

Arithmetic invariants for finite simple and related groups Yoshida, On the Burnside rings of finite groups and finite categories, pp

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:31:40.953491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:31:40.884097Z digest=sha256:06a1251f535cdcda03b95599a4fa1fb240d2a0da6a5c2f7036e12b2bed4f8f95

Pith citing papers

No inbound Pith citation observations are available.