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Paper Citation Record · LEDGER

Class groups of open Richardson varieties in the Grassmannian are trivial

As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.02925.

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

pith.paper-citation-record.v1
1908.02925 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:46:07.672675Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

14 of 14 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3fead06d-0859-4676-b144-113aa03ae622 · outbound

This paper cites Brion, Lectures on the geometry of flag varieties , in T opics in cohomological studies of algebraic varieties (P.

Class groups of open Richardson varieties in the Grassmannian are trivial Brion, Lectures on the geometry of flag varieties , in T opics in cohomological studies of algebraic varieties (P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:46:08.066767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:46:07.603540Z digest=sha256:96f7380668a55782feadd546d9f3fa52cf4498f4b5273bdde59482ef5f8678a7

Observation 971eb269-4d37-43b6-9fb6-98ce65b602ab · outbound

This paper cites Deodhar .On some geometric aspects of Bruhat orderings.

Class groups of open Richardson varieties in the Grassmannian are trivial Deodhar .On some geometric aspects of Bruhat orderings

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:46:08.042694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:46:07.609559Z digest=sha256:7ac6e1dee95506a5e129930914667fc50e448fd43f75480811c69729ced89504

Observation 345f13a1-a5f4-424f-ada9-7b81d07db268 · outbound

This paper cites Dolgachev .Lectures on Invariant Theory , London Math.

Class groups of open Richardson varieties in the Grassmannian are trivial Dolgachev .Lectures on Invariant Theory , London Math

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:46:08.004847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:46:07.614911Z digest=sha256:b0c9df0926860ce1f28acd566fe36d0a2f9cbd3840fe83b1cbd2549b614292e3

Observation d1bfd6b4-99da-420b-8d21-1a8e809fb287 · outbound

This paper cites Eisenbud, Commutative algebra with a view toward algebraic geometry , Graduate T exts in Math.

Class groups of open Richardson varieties in the Grassmannian are trivial Eisenbud, Commutative algebra with a view toward algebraic geometry , Graduate T exts in Math

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:46:07.980176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:46:07.619970Z digest=sha256:f5b8637d5869b8b0a59ce1358379b1e06098e9ef5b436b9cca41e19f0b7b7648

Observation 112321dc-fd29-48ab-a66f-657792a32772 · outbound

This paper cites Fulton,Y oung T ableaux with Applications to Representation Theoryand Geometry, Cambridge U.P ., New Y ork, 1997.

Class groups of open Richardson varieties in the Grassmannian are trivial Fulton,Y oung T ableaux with Applications to Representation Theoryand Geometry, Cambridge U.P ., New Y ork, 1997

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:46:07.956729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:46:07.624743Z digest=sha256:f5a3440e5c157a2e83f1f932a94b1c489dcc50511730c018762834139539d869

Observation 3a4bab17-1221-43fe-ba3a-215c054651f7 · outbound

This paper cites Gelfand, M.

Class groups of open Richardson varieties in the Grassmannian are trivial Gelfand, M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:46:07.928752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:46:07.630029Z digest=sha256:31e01fb254cd560795c4396d39e7f95b282fbb53d7f9b55959295cec3317b880

Observation 2698b664-f98c-4e15-ae14-f26b5f6c3d6a · outbound

This paper cites Hartshorne, Algebraic Geometry.

Class groups of open Richardson varieties in the Grassmannian are trivial Hartshorne, Algebraic Geometry

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:46:07.908694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:46:07.637437Z digest=sha256:308ac21fa2e3166488da7cae82118245d1365299623cbb2bba4bbcfcc375d08f

Observation 0d17e136-9726-4a9f-bb0d-3c7f74f37596 · outbound

This paper cites Hodge and D.

Class groups of open Richardson varieties in the Grassmannian are trivial Hodge and D

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:46:07.863932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:46:07.643039Z digest=sha256:a07d4f75a47e9ea80e068a6613fb0c825c63d1cd2090befa9d9747b126d951dc

Observation 0828f6b0-f0ea-4962-a6ca-5f0fafb85da0 · outbound

This paper cites Knutson, T.

Class groups of open Richardson varieties in the Grassmannian are trivial Knutson, T

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:46:07.840119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:46:07.648479Z digest=sha256:af759ec38d7ba1930884b14f540f58615b17916851d484359149a6daee0e2e9b

Observation 6dced4d3-7107-4602-967c-441c6b49160c · outbound

This paper cites A topological proof of the Shapiro-Shapiro conjecture.

Class groups of open Richardson varieties in the Grassmannian are trivial A topological proof of the Shapiro-Shapiro conjecture

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:46:07.753082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:46:07.653230Z digest=sha256:acf7f9d2ea4f8b992da464263fc8697c765c12098015ebf88d1f5ab650062050

Observation dd32b089-f73f-43f1-ba38-7c00eb7d4a6a · outbound

This paper cites Mathieu, Formules de caractères pour les algèbres de Kac-Moody génér ales, Astérisque 159–160 , 1988.

Class groups of open Richardson varieties in the Grassmannian are trivial Mathieu, Formules de caractères pour les algèbres de Kac-Moody génér ales, Astérisque 159–160 , 1988

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:46:07.820468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:46:07.658386Z digest=sha256:393ad15ff7a285e214c68052a9e248ed2f1dbcfc450c4477cb9449c7f5a25483

Observation 8120aa94-be55-4c12-a289-b0fc9950402e · outbound

This paper cites Total positivity, Grassmannians, and networks.

Class groups of open Richardson varieties in the Grassmannian are trivial Total positivity, Grassmannians, and networks

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-14T14:46:07.662928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:46:07.662928Z digest=sha256:4be9b26b9725da64c34340e86eaed9ce8b2c793e35c913c403d617f1f22a658c

Observation bbcd347e-4157-4684-a910-8966e6a4df32 · outbound

This paper cites V akil, The rising sea: Foundations of algebraic geometry , November 18, 2017 version, http://math.stanford.edu/∼vakil/216blog/.

Class groups of open Richardson varieties in the Grassmannian are trivial V akil, The rising sea: Foundations of algebraic geometry , November 18, 2017 version, http://math.stanford.edu/∼vakil/216blog/

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:46:07.795387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:46:07.667816Z digest=sha256:506e80ac40fa026d82b93b4b967568c585c56999d8b58dcfb039bccff00240ed

Observation 63bcd360-94b1-4bdc-bdb6-9b1a7d88e6f1 · outbound

This paper cites Woo and A.

Class groups of open Richardson varieties in the Grassmannian are trivial Woo and A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:46:07.774307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:46:07.672675Z digest=sha256:b0f4af742024de6780572e78055802b5bbd4b739a0918ec61e6abd22e5e241be

Pith citing papers

No inbound Pith citation observations are available.