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Paper Citation Record · LEDGER

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$

As of 13 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2509.01843.

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

pith.paper-citation-record.v1
2509.01843 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:23:09.165609Z

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 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

27 of 27 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation faf4eecc-01d6-4a6b-86f5-b4ab4a0f45b8 · outbound

This paper cites an unresolved cited work.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:23:13.829409Z

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=2026-08-05T12:23:07.103078Z digest=sha256:75670eb2a332fe7960fe336faf9775eea8b821d80004f34de31478414a2c1f32

Observation e21eca8d-8fb4-4135-90cb-03d99135a48a · outbound

This paper cites an unresolved cited work.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:23:13.650107Z

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=2026-08-05T12:23:07.164249Z digest=sha256:584f2a2eb10cf12e5db1dc1b832446c1c83ccbe14b59eadce0c492631fe608bb

Observation 067688f6-7245-427d-95f4-ba4a742dea89 · outbound

This paper cites an unresolved cited work.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:23:13.469112Z

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=2026-08-05T12:23:07.240091Z digest=sha256:4d95e505eeb51870d2780948774d5d542bb27d481708ad2337d3bc827632ca09

Observation 1a8d7776-41a0-4722-b312-a195f088a035 · outbound

This paper cites an unresolved cited work.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:23:13.283515Z

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=2026-08-05T12:23:07.314498Z digest=sha256:e793f0e2dbd370dcd4793b9f88db3a01eff6f6084e81c3ce6f0105da04863c73

Observation dfd014ea-385a-43d8-a1d9-45ccd813d373 · outbound

This paper cites an unresolved cited work.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:23:13.067272Z

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=2026-08-05T12:23:07.391648Z digest=sha256:6306bb9acdf2c7f6875f62502e0c965236c48ce236a1c7099de1c38e68e3f1b2

Observation 4c14b034-1532-46af-9d4c-9589b4b9b60b · outbound

This paper cites an unresolved cited work.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:23:12.889421Z

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=2026-08-05T12:23:07.478175Z digest=sha256:4455d6e2e9c01aef04e8ee643da0ae05ab1f3a3829b2454715feffe4b114eebb

Observation e6736463-e452-4072-ae52-f5b1c7684eed · outbound

This paper cites 21, Cambridge University Press, Cambridge, 1991.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ 21, Cambridge University Press, Cambridge, 1991

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:23:12.728599Z

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=2026-08-05T12:23:07.575070Z digest=sha256:e098a78ae2bf597992299752ec747c0043d797a55f0c829e516bcd7e7a63344a

Observation 56361edf-6fda-4987-b4ac-db8111effc7d · outbound

This paper cites an unresolved cited work.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:23:12.549140Z

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=2026-08-05T12:23:07.640395Z digest=sha256:0fb417e17ee2fba8a50f7ebba52e00983081fd1ba592d58465b350708947e679

Observation 9d3b6954-686f-4684-84cd-952a7d87025a · outbound

This paper cites 16, American Mathematical Society, Providence, RI, 1999, With a preface and notes by Stephen DeBacker and Paul J.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ 16, American Mathematical Society, Providence, RI, 1999, With a preface and notes by Stephen DeBacker and Paul J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:23:12.341294Z

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=2026-08-05T12:23:07.716030Z digest=sha256:c235fe9d92daaa3457dc98fdbdd673fb2f6a98ae288571d72a4ad942e0aae06c

Observation ff835f4e-baf5-4ad4-a2ca-2d94df194c29 · outbound

This paper cites an unresolved cited work.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:23:12.185492Z

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=2026-08-05T12:23:07.804050Z digest=sha256:ccf6207182d299af372bd999d2d591a2304d9fb73831a2e7a5a97d4c3fb3b24e

Observation 6bfa11be-cf98-4cf4-9f79-cdf095556bb6 · outbound

This paper cites an unresolved cited work.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:23:12.033688Z

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=2026-08-05T12:23:07.909188Z digest=sha256:bbf0587c4ae2f2e9430d6f52aef924ca3cc6fc2694423b71aeb9bd1357b22b13

Observation eda24821-4476-40ac-828b-f211ed2c3639 · outbound

This paper cites an unresolved cited work.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:23:11.897030Z

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=2026-08-05T12:23:07.971512Z digest=sha256:cb629f6571eb5124d2315f8f55f29e5f373d212538d1d46dd675514b986b2c22

Observation 5f40532c-3202-48f3-b282-e2c934dfd908 · outbound

This paper cites an unresolved cited work.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:23:11.724092Z

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=2026-08-05T12:23:08.035501Z digest=sha256:16b2d1588174fecd288382080225ab5ac790fbea96edeacf1d968796e09404e3

Observation 58827a8c-71c5-4af3-8581-40cd16bcbb21 · outbound

This paper cites Kutzko and J.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Kutzko and J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:23:11.566759Z

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=2026-08-05T12:23:08.107782Z digest=sha256:71132978fbc38b052edf432cf81a27eca9e193e6748d1fb75035653503972b15

Observation 910c8604-6a8c-49fa-8974-97cc0bc7c5db · outbound

This paper cites an unresolved cited work.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:23:11.414661Z

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=2026-08-05T12:23:08.174650Z digest=sha256:17aea40c68c3d5ed14e73ecb21e02f9b1ab0eb5c5aa1c011d305c84998b7c587

Observation 61461e5d-18d9-49fa-a89c-cad79b0b4ddf · outbound

This paper cites 2, 381--412.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ 2, 381--412

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:23:11.172808Z

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=2026-08-05T12:23:08.238055Z digest=sha256:09dc4e968e6573a285b4ce68b0769d200358405e7642735859c48a9b54179529

Observation 7275b4bb-3752-4beb-a502-873eddd6953d · outbound

This paper cites Germ expansion for SL(2) in arbitrary characteristics.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Germ expansion for SL(2) in arbitrary characteristics

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-05T12:23:09.351498Z

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=2026-08-05T12:23:08.308203Z digest=sha256:ad56e42eda1d80b159d3bc8eedb3749cf676a3222ed2cf446f2ffe3a6f3ea9f3

Observation 5ecf7a0f-7ea0-4c7d-a591-1bcb484c7913 · outbound

This paper cites Theory 21 (2017), 590--610.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Theory 21 (2017), 590--610

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:23:11.026892Z

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=2026-08-05T12:23:08.379569Z digest=sha256:7f155dee2139a6da4574bc0b687303d11c6109068cac92533e46d30a7f1f4662

Observation 523839db-6be6-4e25-ad8f-faab9e2b853e · outbound

This paper cites 100 (1996), no.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ 100 (1996), no

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:23:10.879055Z

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=2026-08-05T12:23:08.462439Z digest=sha256:972e2ee5d1a915450570583fb93059df48aac77acca2956d8a75b85de75118f0

Observation 2dc71fdd-d988-472c-8738-4e7b655cb72e · outbound

This paper cites Theory 25 (2021), 1021--1048.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Theory 25 (2021), 1021--1048

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:23:10.722734Z

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=2026-08-05T12:23:08.524495Z digest=sha256:7a26d71cdbb4f577d19fcb552cff9f7ac0b1c0cc3dca0584a941fe6f30c16732

Observation 9c37e2ef-7d2a-4618-886f-4ee2959d7c08 · outbound

This paper cites an unresolved cited work.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:23:10.542948Z

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=2026-08-05T12:23:08.618317Z digest=sha256:0c42d01682799c3937b79cd69b8276758c5ef00804ba53506019bab0693e59e8

Observation 507d3899-53b4-4a54-bd07-93f8344e1e92 · outbound

This paper cites Math., vol.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Math., vol

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:23:10.396528Z

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=2026-08-05T12:23:08.718316Z digest=sha256:c9cc489dbee4cce9cde5c33d393b4b20d08867a93b797740b0ebb068600faabd

Observation 3a2b1399-f0d6-4d9f-b4d1-57d0aa823866 · outbound

This paper cites Algebra 377 (2013), 204--231.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Algebra 377 (2013), 204--231

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:23:10.223649Z

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=2026-08-05T12:23:08.784835Z digest=sha256:6ec59534541b1fba48f74167901fc4b32534259f5fb9e870256d7ff8181887b6

Observation e225b2c0-79e3-4439-83a5-1b33c5d798b6 · outbound

This paper cites Algebra 408 (2014), 1--27.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Algebra 408 (2014), 1--27

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:23:10.045300Z

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=2026-08-05T12:23:08.852129Z digest=sha256:b9710698deca9c27b7d89f3a072cb285a9b46d0529b716397c743bae17ef2673

Observation 780a6645-75d3-4f02-a95d-f4b796ce83a2 · outbound

This paper cites an unresolved cited work.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:23:09.821346Z

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=2026-08-05T12:23:08.954850Z digest=sha256:de310964becd69dcccf388adf3d302abbcee6623be0afc510a687623426ca346

Observation bcf3d5c0-4949-45d7-8bf7-7e5f621e67ce · outbound

This paper cites Shalika, Representations of the two by two modular group over local fields, Ph.D.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Shalika, Representations of the two by two modular group over local fields, Ph.D

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:23:09.652923Z

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=2026-08-05T12:23:09.093746Z digest=sha256:290220ba3e4aab1d65f1610c80a4508ca10bceebab38afbf61daf5fc34da57ba

Observation 41b9c2eb-7d68-495d-a1f9-0d2a6740cee9 · outbound

This paper cites an unresolved cited work.

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$ Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:23:09.485806Z

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=2026-08-05T12:23:09.165609Z digest=sha256:28de4a56e5638088e892d91a529115ead5983ef9009701a364fd16052e68386f

Pith citing papers

No inbound Pith citation observations are available.