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Paper Citation Record · LEDGER

Parabolic subgroups and Automorphism groups of Schubert varieties

As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1908.04768.

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

pith.paper-citation-record.v1
1908.04768 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:46:13.113584Z

measured 12 of 12 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

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cf3307ee-a738-4857-bb5f-40247f91d718 · outbound

This paper cites an unresolved cited work.

Parabolic subgroups and Automorphism groups of Schubert varieties Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:46:13.291122Z

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=2026-08-14T13:46:13.067781Z digest=sha256:4157674e9e531c97db7bd6a26b160bb82d613db762eaa0d8b296d2061284735d

Observation 668262ef-aa42-4fe0-aee3-ebeaf3923d9c · outbound

This paper cites Bourbaki, Lie Groups and Lie Algebras, Chapters 4-6, Springe r-Verlag, Berlin Heidelberg, New York, 2002.

Parabolic subgroups and Automorphism groups of Schubert varieties Bourbaki, Lie Groups and Lie Algebras, Chapters 4-6, Springe r-Verlag, Berlin Heidelberg, New York, 2002

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:13.277819Z

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=2026-08-14T13:46:13.072607Z digest=sha256:ee48ae510f493d5aea1ac7b21fc4ac34df9e883e5c5273a94344528d68a23a18

Observation 27218e73-5f27-408e-91ca-5eb929d6945a · outbound

This paper cites Balaji, S.

Parabolic subgroups and Automorphism groups of Schubert varieties Balaji, S

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T13:46:13.076818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:46:13.076818Z digest=sha256:e4feccef72194395a44c4e24aa17f6cf5622cb8008cfb3de7a1025d645fc9129

Observation fd6d67a9-8f79-4ff4-a485-1182d8242203 · outbound

This paper cites Brion, S.

Parabolic subgroups and Automorphism groups of Schubert varieties Brion, S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:13.252674Z

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=2026-08-14T13:46:13.082413Z digest=sha256:04242796496faa6f37dd11034a6a29415fa109f3c3f93814fa05f62b5d4e7d25

Observation 327bf225-2b12-4474-8fc2-c360b28d19de · outbound

This paper cites Brion, On automorphism groups of fiber bundles.

Parabolic subgroups and Automorphism groups of Schubert varieties Brion, On automorphism groups of fiber bundles

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:13.237784Z

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=2026-08-14T13:46:13.086246Z digest=sha256:f41ca576e76632ceee5921d51f26efbe40af0965cf41287abe4ec8ef158a1a03

Observation 46e9d1f2-d3d6-486c-b0c9-8e1ea19a84db · outbound

This paper cites Demazure, A very simple proof of Bott’s theorem, Invent.

Parabolic subgroups and Automorphism groups of Schubert varieties Demazure, A very simple proof of Bott’s theorem, Invent

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T13:46:13.090532Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:46:13.090532Z digest=sha256:c2f3a2cd4caca79be18274141391d013b117aaeeb09e6950c03d04c95e62a4d0

Observation 82b18a83-363f-40ad-a55a-5b8bfce98384 · outbound

This paper cites Humphreys, Introduction to Lie algebras and Representat ion theory, Springer-Verlag, Berlin Heidelberg, New York, 1972.

Parabolic subgroups and Automorphism groups of Schubert varieties Humphreys, Introduction to Lie algebras and Representat ion theory, Springer-Verlag, Berlin Heidelberg, New York, 1972

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T13:46:13.096662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:46:13.096662Z digest=sha256:dbaa1ca5ad4d151c68a66ed1974be4a43028ff18caf156fa49c910610395a8a6

Observation ef89fd51-377d-4786-9847-b8dbc95c8344 · outbound

This paper cites Humphreys, Linear Algebraic Groups, Springer-Verlag, Ber lin Heidelberg, New York, 1975.

Parabolic subgroups and Automorphism groups of Schubert varieties Humphreys, Linear Algebraic Groups, Springer-Verlag, Ber lin Heidelberg, New York, 1975

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:13.198741Z

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=2026-08-14T13:46:13.100007Z digest=sha256:f9028f301032387ce933543f1aa8b2f0d376436e30c91e0d91d2428b5964fa25

Observation 32500e6d-fdcf-4b95-b591-10c67877c125 · outbound

This paper cites Jantzen, Representations of Algebraic Groups, (Second E dition ), Mathematical Surveys and Monographs, Vol.107, 2003.

Parabolic subgroups and Automorphism groups of Schubert varieties Jantzen, Representations of Algebraic Groups, (Second E dition ), Mathematical Surveys and Monographs, Vol.107, 2003

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:13.184196Z

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=2026-08-14T13:46:13.103541Z digest=sha256:6f713231513d3d8ff74a03b4835f0d213cfd09e99f9b52c3cf04c76b8c93ff90

Observation a0e80a81-51d9-4c43-a746-042565963034 · outbound

This paper cites Senthamarai Kannan, On the automorphism group of a smoo th Schubert Variety, Algebr.

Parabolic subgroups and Automorphism groups of Schubert varieties Senthamarai Kannan, On the automorphism group of a smoo th Schubert Variety, Algebr

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:13.171735Z

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=2026-08-14T13:46:13.107095Z digest=sha256:9598ca7897fb5d27ecc5d493a284a612833da1287e917cf3eba7ac6d8f474df1

Observation 104c365e-d9e4-4228-bfac-f416e531441f · outbound

This paper cites Lakshmibai, B.

Parabolic subgroups and Automorphism groups of Schubert varieties Lakshmibai, B

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:13.159029Z

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=2026-08-14T13:46:13.110360Z digest=sha256:4eb55e905237d069f84e8cef330cc44a52abec36488b6871f47b1133bec435fa

Observation 24edaf70-af32-4e5f-a798-34cb246aa478 · outbound

This paper cites Matsumura, F.

Parabolic subgroups and Automorphism groups of Schubert varieties Matsumura, F

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:13.147528Z

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=2026-08-14T13:46:13.113584Z digest=sha256:5f3472c2cd549a08a96a15074d2890b17e77721b70efd6cb50e5415ea08fdabc

Pith citing papers

No inbound Pith citation observations are available.