Paper Citation Record · LEDGER

Almost multiplicity-one property of spherical varieties over finite fields

As of 12 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2607.00496.

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

pith.paper-citation-record.v1
2607.00496 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-02T03:44:21.968170Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

22 of 22 outbound references displayed

verified exact3
verified fuzzy15
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ff8efdae-c3f3-484a-8f2f-a83e9896f90c · outbound

This paper cites Relative Langlands Duality.

Almost multiplicity-one property of spherical varieties over finite fields Relative Langlands Duality

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-02T03:46:32.057734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5254f413-8380-4b12-89af-e7b4419e905f · outbound

This paper cites Deligne, La conjecture de Weil.

Almost multiplicity-one property of spherical varieties over finite fields Deligne, La conjecture de Weil

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T08:42:09.093816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e7c57e0f-6c45-4e16-a5f3-f56e6d68e888 · outbound

This paper cites Deligne, G.

Almost multiplicity-one property of spherical varieties over finite fields Deligne, G

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T08:42:09.088831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ae4616ff-2b76-47d0-804a-e11293a72e7b · outbound

This paper cites an unresolved cited work.

Almost multiplicity-one property of spherical varieties over finite fields Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-07-06T08:42:09.071907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 16759b34-cda3-4189-9941-cc3ac02a6ada · outbound

This paper cites Knop, On the set of orbits for a Borel subgroup , Comm.

Almost multiplicity-one property of spherical varieties over finite fields Knop, On the set of orbits for a Borel subgroup , Comm

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T08:42:09.100955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f77d4d7e-2904-4683-a3d4-e59dfc0485b6 · outbound

This paper cites Knop, The asymptotic behavior of invariant collective motion.

Almost multiplicity-one property of spherical varieties over finite fields Knop, The asymptotic behavior of invariant collective motion

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T08:42:09.097436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 39f8b5f3-73bb-48af-8e68-763d58434c9f · outbound

This paper cites an unresolved cited work.

Almost multiplicity-one property of spherical varieties over finite fields Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-07-06T08:42:09.083852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cad5f571-2978-4a00-ab56-cd3ecdd8b180 · outbound

This paper cites an unresolved cited work.

Almost multiplicity-one property of spherical varieties over finite fields Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-07-06T08:42:09.085526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a11dad34-c54d-4ba9-997d-295d65dbb1e4 · outbound

This paper cites Lusztig, Symmetric Spaces over a Finite Field , The Grothendieck Festschrift.

Almost multiplicity-one property of spherical varieties over finite fields Lusztig, Symmetric Spaces over a Finite Field , The Grothendieck Festschrift

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T08:42:09.092232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2d8352ad-60f7-4061-a026-e0c7ea8b2665 · outbound

This paper cites Lusztig, Character sheaves I , Adv.

Almost multiplicity-one property of spherical varieties over finite fields Lusztig, Character sheaves I , Adv

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T08:42:09.087265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b35f70ef-7320-49e5-ac7c-d5889b4c26c7 · outbound

This paper cites Lusztig, Green functions and character sheaves , Ann.

Almost multiplicity-one property of spherical varieties over finite fields Lusztig, Green functions and character sheaves , Ann

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T08:42:09.099145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 51de6934-3ce9-4795-9c09-a7d9964df75a · outbound

This paper cites Milne, Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field , Cambridge University Press, 2017.

Almost multiplicity-one property of spherical varieties over finite fields Milne, Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field , Cambridge University Press, 2017

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T08:42:09.102755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a7a70548-6b66-4c3b-9569-24cdfe36c423 · outbound

This paper cites Fourier-Jacobi models of Deligne-Lusztig characters and depth zero local descent for unitary groups.

Almost multiplicity-one property of spherical varieties over finite fields Fourier-Jacobi models of Deligne-Lusztig characters and depth zero local descent for unitary groups

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-02T03:46:32.058290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a19b1e2d-2dd4-482e-abaf-9bddec9cce73 · outbound

This paper cites Reeder, On the restriction of Deligne-Lusztig characters , J.

Almost multiplicity-one property of spherical varieties over finite fields Reeder, On the restriction of Deligne-Lusztig characters , J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T08:42:09.078598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d7cef506-9e01-4332-a6f7-9c224bb903ce · outbound

This paper cites Rallis, Injectivity properties of liftings associated to Weil representations , Compositio Math., 52(2):139–169, 1984.

Almost multiplicity-one property of spherical varieties over finite fields Rallis, Injectivity properties of liftings associated to Weil representations , Compositio Math., 52(2):139–169, 1984

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T08:42:09.080503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 92ecc3c3-8650-4b4f-9f17-c78745d40fde · outbound

This paper cites Sakellaridis, A.

Almost multiplicity-one property of spherical varieties over finite fields Sakellaridis, A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T08:42:09.082097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 98c56c82-9de0-4cf2-aa8c-7179e51dde45 · outbound

This paper cites Bounds on multiplicities of spherical spaces over finite fields -- the general case.

Almost multiplicity-one property of spherical varieties over finite fields Bounds on multiplicities of spherical spaces over finite fields -- the general case

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-07-02T03:46:32.062494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f303f547-8e02-41be-a66d-ca2c39f00007 · outbound

This paper cites Springer, Algebmic groups with involutions , in Algebraic Groups and Related Topics, Adv.

Almost multiplicity-one property of spherical varieties over finite fields Springer, Algebmic groups with involutions , in Algebraic Groups and Related Topics, Adv

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T08:42:09.073545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bfc56a97-27c5-4f3a-a3c1-c132e62eadaa · outbound

This paper cites Shoji, Character Sheaves and Almost Characters of Reductive Groups , Adv.

Almost multiplicity-one property of spherical varieties over finite fields Shoji, Character Sheaves and Almost Characters of Reductive Groups , Adv

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T08:42:09.076924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 935f8c6f-3044-4489-9191-c2edb0b50ae6 · outbound

This paper cites Shoji, Character Sheaves and Almost Characters of Reductive Groups, II , Adv.

Almost multiplicity-one property of spherical varieties over finite fields Shoji, Character Sheaves and Almost Characters of Reductive Groups, II , Adv

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T08:42:09.075166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4b9cbf1f-f05f-48bd-a638-d6c69a9a5565 · outbound

This paper cites Wang, On the Gan-Gross-Prasad problem for finite classical groups, Adv.

Almost multiplicity-one property of spherical varieties over finite fields Wang, On the Gan-Gross-Prasad problem for finite classical groups, Adv

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T08:42:09.095727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5ffcd496-86e4-4306-8f19-88c0b6de04f8 · outbound

This paper cites an unresolved cited work.

Almost multiplicity-one property of spherical varieties over finite fields Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-07-06T08:42:09.090487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.