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Paper Citation Record · LEDGER

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$

As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1908.05595.

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

pith.paper-citation-record.v1
1908.05595 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:42:45.985533Z

measured 17 of 17 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

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 927a4f76-a193-44b3-b43e-063157eeade7 · outbound

This paper cites Balaji, S.

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Balaji, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:42:46.180335Z

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=2026-08-14T13:42:45.931976Z digest=sha256:bcddee2b8db7ce64751d77fdcc883555f9578bca8431da24c50a90081827eaff

Observation 10691563-9226-4cfc-9c56-f9f05bc91b5a · outbound

This paper cites Bott and H.

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Bott and H

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:42:46.169385Z

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=2026-08-14T13:42:45.936311Z digest=sha256:ec252b1c234fbd8109bb3516fbb6e6c74d6742c4cbff2016f2455d5fb1e9fdf9

Observation e82b2789-fe12-4e85-9a8d-a9fa75680daf · outbound

This paper cites Brion, S.

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Brion, S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:42:46.158811Z

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=2026-08-14T13:42:45.940113Z digest=sha256:deb8fc56d55c161d092f1d2ccf12b1de4d7f8ca006d473085ed298e5ac2df356

Observation 906bf038-3391-4ff5-ae68-20d7fa5f236a · outbound

This paper cites 2, 435-468.

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ 2, 435-468

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:42:46.148773Z

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=2026-08-14T13:42:45.943435Z digest=sha256:f54fca7cb7a2df144ecf1a4967492e62382ec8d2130a73df87c0b94a4dfc287e

Observation 2dcdea37-7920-4822-8099-07b507d7a723 · outbound

This paper cites an unresolved cited work.

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:42:46.138317Z

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=2026-08-14T13:42:45.947033Z digest=sha256:3794f4efdc598ee3eb9e92d1cf1804dbd8830cd5c90c92cebec55af74d37bf9e

Observation 203b8ac4-aee9-4568-9927-cfdbaa615363 · outbound

This paper cites Demazure, Desingularisation des varieties de schubert gener alisees.

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Demazure, Desingularisation des varieties de schubert gener alisees

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:42:46.128824Z

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=2026-08-14T13:42:45.950711Z digest=sha256:849bd92f10a3b8b54892af3cd57207ca57b3f2ea976b77f3022700f557fea499

Observation cb2100ee-2493-4bd2-aa0e-fcd32f19ef89 · outbound

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

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Demazure, A very simple proof of Bott’s theorem, Invent

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:42:46.118861Z

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=2026-08-14T13:42:45.954250Z digest=sha256:96d3ee47e701dddace356482c96fc44aad9272ff14defaeda3585b36360ef8af

Observation ff0c028c-5bfe-4bbf-8c7d-bc77bde919c3 · outbound

This paper cites Hansen, On cycles on flag manifolds, Math.

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Hansen, On cycles on flag manifolds, Math

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:42:46.108207Z

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=2026-08-14T13:42:45.957303Z digest=sha256:dfd53096ca6f986bc8c2e7047a5e72c8863537b79d9ab552abc5ccfbd99dbbf1

Observation 5f8974bc-9530-4b7f-ada1-93c99db9ea99 · outbound

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

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Humphreys, Introduction to Lie algebras and Representat ion theory, Springer-Verlag, Berlin Heidelberg, New York, 1972

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:42:46.098337Z

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=2026-08-14T13:42:45.960462Z digest=sha256:73d39a941c703530b6e83463af804efa4c727db6572144415f0d3e204251e434

Observation 60407107-737a-4f49-b3b2-bd8b1b5b3982 · outbound

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

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Humphreys, Linear Algebraic Groups, Springer-Verlag, Be rlin Heidelberg, New York, 1975

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:42:46.088334Z

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=2026-08-14T13:42:45.963749Z digest=sha256:7b04775f5bb92998efc573755f890dae698176dd17524bcac1396786b716d685

Observation 36dbffaa-c53d-49d8-b80e-2b7a3e2fbf5e · outbound

This paper cites Humphreys, Reflection groups and Coxeter groups, Vol 2 9, Cambridge uni-versity press, 1992.

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Humphreys, Reflection groups and Coxeter groups, Vol 2 9, Cambridge uni-versity press, 1992

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:42:46.078267Z

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=2026-08-14T13:42:45.966988Z digest=sha256:dd01286560de61fa6023fef5cd7494b82849b3e065f8b25176286bf529e8eb3e

Observation a9194f94-7b44-46a0-8f73-6823aed9689d · outbound

This paper cites Humphreys, Conjugacy classes in semisimple algebraic group s, Math.

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Humphreys, Conjugacy classes in semisimple algebraic group s, Math

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:42:46.067268Z

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=2026-08-14T13:42:45.970147Z digest=sha256:5ae670f19376b68a5ebd927d4bdfc2b0eb5ff238f8e5b1edca6da9c1b5786741

Observation c3539672-3f48-412f-9b24-15e39cb6948b · outbound

This paper cites Huybrechts, ”Complex Geometry: An Introduction”, Sprin ger-Verlag, Berlin Heidelberg, New York, 2005.

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Huybrechts, ”Complex Geometry: An Introduction”, Sprin ger-Verlag, Berlin Heidelberg, New York, 2005

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:42:46.056555Z

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=2026-08-14T13:42:45.973090Z digest=sha256:a02412fad0267ef29432626e322e8f1ba14535ffb51f6d837d2a57e9c9eaf4a6

Observation cd885c97-12d4-48a2-ad3a-83aaf0fd315f · outbound

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

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Jantzen, Representations of Algebraic Groups, (Second Edition ), Mathematical Surveys and Monographs, Vol.107, 2003

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:42:46.046659Z

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=2026-08-14T13:42:45.976332Z digest=sha256:24151e0250a2714ec7fafaf63d19ccc32ad2eae0204b6fd6f0308c134b9d6a77

Observation 247357e3-a552-42dd-a73e-ea63e20e912a · outbound

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

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Senthamarai Kannan, On the automorphism group of a smoo th Schubert variety

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:42:46.036315Z

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=2026-08-14T13:42:45.979236Z digest=sha256:261f0695fafa04ab65c4b12b37b64a527eaa64ba0c54b83684f9e53d5fe698e8

Observation 96a0a288-6018-4538-a3c1-af26ddec3564 · outbound

This paper cites an unresolved cited work.

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:42:46.026086Z

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=2026-08-14T13:42:45.982250Z digest=sha256:a51d77d6b2690076bdf4961eab17a447a8c03de282a82b510bf45949c0b9efee

Observation 55484fb2-79ed-44ca-a76d-e41c8ca1926a · outbound

This paper cites Yang and A.Zelevinsky, Cluster algebras of finite type via Cox eter elements and principal minors, Transformation Groups, 13 (2008), no.3-4, 855-895.

Rigidity of Bott-Samelson-Demazure-Hansen variety for $F_4$ and $G_2$ Yang and A.Zelevinsky, Cluster algebras of finite type via Cox eter elements and principal minors, Transformation Groups, 13 (2008), no.3-4, 855-895

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:42:46.015819Z

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=2026-08-14T13:42:45.985533Z digest=sha256:8849ef4fbe9c3f3d9c3ccef4c7e70cab1b2cb19c55ad889d83cb1c52704f616d

Pith citing papers

No inbound Pith citation observations are available.