Paper Citation Record · LEDGER

Germ expansion for SL(2) in arbitrary characteristics

As of 13 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 1 inbound Pith citation observation for arXiv:2507.05003.

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

pith.paper-citation-record.v1
2507.05003 v2

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:50:01.368078Z

measured 7 of 7 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 2026-08-05T12:23:08.308203Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T12:23:09.296499Z

Reference resolution

6 of 6 outbound references displayed

verified exact2
verified fuzzy3
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c240a7f8-e980-4967-80df-c4c457e48a6d · outbound

This paper cites , Langlands R.

Germ expansion for SL(2) in arbitrary characteristics , Langlands R

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:50:02.859317Z

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.

Observation f56d4e63-588d-449f-baec-9f453469357f · outbound

This paper cites Stabilisation et germes pour $SL(2)$ en toutes caract\'eristiques.

Germ expansion for SL(2) in arbitrary characteristics Stabilisation et germes pour $SL(2)$ en toutes caract\'eristiques

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:50:02.047556Z

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.

Observation 9cc749bc-ac4c-4dfb-bbaa-8298d10bf445 · outbound

This paper cites an unresolved cited work.

Germ expansion for SL(2) in arbitrary characteristics Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:50:02.659934Z

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.

Observation e046874c-1e2c-4211-9239-35dff6fa456e · outbound

This paper cites Stabilisation de la formule des traces tordues, Volume 1 Progress Math.

Germ expansion for SL(2) in arbitrary characteristics Stabilisation de la formule des traces tordues, Volume 1 Progress Math

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:50:02.448997Z

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.

Observation 4b17bc1b-6612-4644-a020-6c50ff233e49 · outbound

This paper cites A Theorem on Semi-Simple P-adic Groups, Annals of Math.

Germ expansion for SL(2) in arbitrary characteristics A Theorem on Semi-Simple P-adic Groups, Annals of Math

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:50:02.274182Z

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.

Observation 75010379-2d70-4cfe-b013-17a4aa806e59 · outbound

This paper cites Stable distributions and nilpotent orbital integrals.

Germ expansion for SL(2) in arbitrary characteristics Stable distributions and nilpotent orbital integrals

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:50:01.743231Z

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.

Pith citing papers

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

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

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.