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Paper Citation Record · LEDGER

The continuity of $p$-rationality of characters and the principal block

As of 13 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2412.16128.

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

pith.paper-citation-record.v1
2412.16128 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:52:58.606614Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:53:09.022792Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T11:53:10.833458Z

Reference resolution

26 of 26 outbound references displayed

  • verified exact1
  • verified fuzzy18
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b9360713-93bd-4d2e-a6ff-11b494e10708 · outbound

This paper cites an unresolved cited work.

The continuity of $p$-rationality of characters and the principal block Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:52:58.922090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.510657Z digest=sha256:ef89e680c8ea1d5b56c3f895a57623fcd486f61afd0bb147a643fd5d3a575655

Observation 662395ff-78aa-488f-b3a4-02d767f07035 · outbound

This paper cites Brunat and R.

The continuity of $p$-rationality of characters and the principal block Brunat and R

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.910054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.515340Z digest=sha256:458c4710fde61cc3cdda5c381177ea84e8a1b3ffb5c146755dbb2703698326ca

Observation 020b6d50-b537-419f-a890-90ef365f0658 · outbound

This paper cites Cabanes and M.

The continuity of $p$-rationality of characters and the principal block Cabanes and M

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T10:52:58.519378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T10:52:58.519378Z digest=sha256:741c2377f41ff7e2a7e266b73cd4653d1429645c87a7daa5a4b370960e22c290

Observation 58b4ce28-176f-468e-8293-43ec021c18d6 · outbound

This paper cites an unresolved cited work.

The continuity of $p$-rationality of characters and the principal block Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:52:58.890346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.523430Z digest=sha256:5491c9a3565ebb953bfa8e2acdc1348f1da0cae202239f03b4685b53836a0551

Observation 4f41a994-d176-4e6e-b5f5-4a090098845d · outbound

This paper cites Enguehard , Sur les l-blocs unipotents des groupes r´ eductifs finis quand l est mauvais.

The continuity of $p$-rationality of characters and the principal block Enguehard , Sur les l-blocs unipotents des groupes r´ eductifs finis quand l est mauvais

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.880331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.527626Z digest=sha256:93691a9f29635200b43dfc63baa9b012ccbda11a295c47bc430ffbe100e96b31

Observation d84d8b44-aea3-4740-8c89-ac1c607b4027 · outbound

This paper cites Geck and G.

The continuity of $p$-rationality of characters and the principal block Geck and G

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.869560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.531556Z digest=sha256:e00de20d92a86bfe151e632a668f24547ddb18b127e56caf85914522142b3371

Observation c7906eb2-4115-45b4-9969-50e083b49a15 · outbound

This paper cites Giannelli , McKay bijections for symmetric and alternating groups.

The continuity of $p$-rationality of characters and the principal block Giannelli , McKay bijections for symmetric and alternating groups

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.858786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.535499Z digest=sha256:91ec5b9b677194a8b6e9dbb201bdf6555b1f3cf016a3f23fb6f5a663a746e134

Observation af10ed57-4f84-407c-b436-e4599f887e37 · outbound

This paper cites Gorenstein, R.

The continuity of $p$-rationality of characters and the principal block Gorenstein, R

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.848033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.539407Z digest=sha256:3cf6dc74ef2f18b824fe50f343e2d2d74e6b19d6771929de323db1f93ac80edf

Observation a3438566-97c3-4c27-97cc-fa9c65b8b6b9 · outbound

This paper cites an unresolved cited work.

The continuity of $p$-rationality of characters and the principal block Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:52:58.837560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.543139Z digest=sha256:7fa39f474baec9401c0c0b86a86ee2831ff197d5a74fcd30de9e2a8b90f90176

Observation ed60fc1b-4873-4d2d-a8a7-eb4decd4c54c · outbound

This paper cites an unresolved cited work.

The continuity of $p$-rationality of characters and the principal block Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:52:58.826791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.546879Z digest=sha256:abaa65e808a49d73f0772767b223a56211ab0af4f6581fac9141a1d93aa8e93f

Observation cd6e45cd-d245-4a9d-8f9a-77461aae60b9 · outbound

This paper cites Huppert, Character Theory of Finite Groups.

The continuity of $p$-rationality of characters and the principal block Huppert, Character Theory of Finite Groups

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.815844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.550536Z digest=sha256:3b2a9fef5656d5b4d6200dc410c2284ef4d229518b2289d38a0a5f91bdfd0eff

Observation b145ebcf-5b41-460b-943d-37defa7c4f4d · outbound

This paper cites an unresolved cited work.

The continuity of $p$-rationality of characters and the principal block Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:52:58.805487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.554235Z digest=sha256:77dd792d12fd3f8d270de2a7ff0f5b12d2b04ed9acf399a929a5953cbdcb308e

Observation 9061cf58-4104-4562-b635-3c159b4c248e · outbound

This paper cites Malle , The Navarro–Tiep Galois conjecture for p = 2.

The continuity of $p$-rationality of characters and the principal block Malle , The Navarro–Tiep Galois conjecture for p = 2

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.794627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.558150Z digest=sha256:846ce45a47f5373ead4ec53d4b6066f578d0aa27a091b14abb8e7c84724de792

Observation 7aa77def-c7db-4c80-8739-64b2b0a859f9 · outbound

This paper cites On almost $p$-rational characters in principal blocks.

The continuity of $p$-rationality of characters and the principal block On almost $p$-rational characters in principal blocks

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-11T10:52:58.643462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.561763Z digest=sha256:70671df9876e4af25cf7b7ddfb8615277ccec4245ef488bb2915922cded8e44a

Observation 31114da8-dc15-4219-9437-d4e620caaf82 · outbound

This paper cites Navarro, Characters and Blocks of Finite Groups.

The continuity of $p$-rationality of characters and the principal block Navarro, Characters and Blocks of Finite Groups

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.784039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.566014Z digest=sha256:360dd1c5617e16aabd1c5b05f4d51d8b9f1ceebc0c87a152a5dc45fbf5efeb74

Observation f060cb47-7039-4a97-b303-45aeab8f601b · outbound

This paper cites Navarro, The McKay conjecture and Galois automorphisms.

The continuity of $p$-rationality of characters and the principal block Navarro, The McKay conjecture and Galois automorphisms

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.773760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.569734Z digest=sha256:4dec5fc58b1d12339fb41c42238dd2ea6d44e28bf0cc9bd635739c7dcb53913d

Observation 04acce7f-eaa8-42af-98a2-ca2245de3978 · outbound

This paper cites Navarro , Character Theory and the McKay Conjecture.

The continuity of $p$-rationality of characters and the principal block Navarro , Character Theory and the McKay Conjecture

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.762929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.573370Z digest=sha256:8326730983c092c0cb2f20786fee09057b9d4d8036312e09c8a28982d3c00450

Observation dd91bde1-00b9-4b27-85da-3ad26ea41e9d · outbound

This paper cites Navarro, N.

The continuity of $p$-rationality of characters and the principal block Navarro, N

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.751237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.577145Z digest=sha256:9085239e522c13da275b8ccee2f5ef203d19ad8a60975914d0820e724426935c

Observation 9f6b6570-209f-40b6-b86d-37332c1cc412 · outbound

This paper cites Navarro and J.

The continuity of $p$-rationality of characters and the principal block Navarro and J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.740259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.580788Z digest=sha256:09b1df25817af433a879f592ad6c0f6f8f0b35b91f55f68d49894b4cb08bfce4

Observation 7e8f3bf7-b6b1-43d9-85eb-0cd67447e276 · outbound

This paper cites Navarro and P.

The continuity of $p$-rationality of characters and the principal block Navarro and P

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.729272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.584475Z digest=sha256:d00761a52a5b978d8ca5fd3c6da0b3ed5644de6a6ec81d4f50b4d65f582a0178

Observation f39a6a92-2faa-48da-99af-c77bebdf3505 · outbound

This paper cites Navarro and P.

The continuity of $p$-rationality of characters and the principal block Navarro and P

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.718390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.588363Z digest=sha256:28a61149f42a8b47642e181764f45b8cd12db858b637cdd0a59b1aade63cc796

Observation 36044d70-b4ee-4d40-a051-62cbcdce2eb7 · outbound

This paper cites an unresolved cited work.

The continuity of $p$-rationality of characters and the principal block Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:52:58.706184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.591902Z digest=sha256:78b4d0620b56962c28c91706b87b1f113db3f9eb51182caf6b315f66ffebe935

Observation 66684cb7-0f31-4527-a6e6-f4e7433fe5a3 · outbound

This paper cites Ruhstorfer , The Navarro refinement of the McKay conjecture for finite grou ps of Lie type in defining characteristic.

The continuity of $p$-rationality of characters and the principal block Ruhstorfer , The Navarro refinement of the McKay conjecture for finite grou ps of Lie type in defining characteristic

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.693687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.595544Z digest=sha256:c6a493675cc2e1d01ccc61ec9a9790aa9d4ad829a70dd9cdebd6b8145cebe6c8

Observation c0b338d0-febf-4134-a9fc-194c82f99414 · outbound

This paper cites Taylor, Action of automorphisms on irreducible characters of symplectic g roups.

The continuity of $p$-rationality of characters and the principal block Taylor, Action of automorphisms on irreducible characters of symplectic g roups

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.681693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.599316Z digest=sha256:f4abd686ca144ed86de6a05f08c92a02844e03f9b8f9bb12409d28f64d6d0d72

Observation b22bf715-7129-452e-bdd5-d888d684bf72 · outbound

This paper cites Turull , The strengthened Alperin–McKay conjecture for p-solvable groups.

The continuity of $p$-rationality of characters and the principal block Turull , The strengthened Alperin–McKay conjecture for p-solvable groups

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.668724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.602906Z digest=sha256:f3c734d3022db0ca9b480a5e9ec24a685ca6d8e451b4200a507b29b5370bcc95

Observation a6d8c8bb-2a7b-4f74-984c-5e950fe280f9 · outbound

This paper cites V allejo Rodr´ıguez, A lower bound on the number of generators of a defect group.

The continuity of $p$-rationality of characters and the principal block V allejo Rodr´ıguez, A lower bound on the number of generators of a defect group

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:52:58.656285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T10:52:58.606614Z digest=sha256:7d6abc9f3fb990aaf26981f306daf91afbc0a8c9b7d858209b78e8741fdedc12

Pith citing papers

Observation 15970fbd-1ebf-4e97-8e90-ff22b30a0ba7 · inbound

The Isaacs--Navarro Galois conjecture cites this paper.

The Isaacs--Navarro Galois conjecture The continuity of $p$-rationality of characters and the principal block

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-05T11:53:10.873007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-05T11:53:09.022792Z digest=sha256:926b65b0f59a6e2b64f54658a82a6143c7e2e53835f842b9c7d13844d32e6a3e