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Paper Citation Record · LEDGER

Toroidal embedding of Chevalley groups over $\mathbb{Z}$

As of 9 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2506.02638.

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

pith.paper-citation-record.v1
2506.02638 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:30:36.391394Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

11 of 11 outbound references displayed

  • verified exact3
  • verified fuzzy6
  • unresolved1
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 04671264-62db-46ce-afff-e78bf7c06f52 · outbound

This paper cites Study of a Z-form of the coordinate ring of a reductive group.

Toroidal embedding of Chevalley groups over $\mathbb{Z}$ Study of a Z-form of the coordinate ring of a reductive group

Reference 3

Resolution
malformed identifier
doi_truncated, observed 2026-08-07T11:30:36.421337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:30:36.373633Z digest=sha256:e75f3cfb795b3ca9879b904a586b04d2e9121d1a6970a10c1155504c4c9835cf

Observation 87ba6964-616c-4281-a08b-d35afc1d52db · outbound

This paper cites Reductive group schemes.

Toroidal embedding of Chevalley groups over $\mathbb{Z}$ Reductive group schemes

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:36.518240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:30:36.360961Z digest=sha256:35ae1ce34b999612fb9ab40482bace1434105182a71c80f05648555290767406

Observation 64f6a0c0-b82e-448d-84b6-462d4121dde8 · outbound

This paper cites Séminaire de Géométrie Algébrique du Bois Marie 1962–64.

Toroidal embedding of Chevalley groups over $\mathbb{Z}$ Séminaire de Géométrie Algébrique du Bois Marie 1962–64

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:36.490889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:30:36.385153Z digest=sha256:83cbef3e7defb33239a696d067f4a261db601b516d6d75d23b8102d595184bd0

Observation e3975bb1-5a00-4c2b-a721-06f4e66fad86 · outbound

This paper cites An introduction to the theory of toric varieties, Translated from the Japanese.

Toroidal embedding of Chevalley groups over $\mathbb{Z}$ An introduction to the theory of toric varieties, Translated from the Japanese

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:36.509179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:30:36.377868Z digest=sha256:958429e8f554cbca6017018ff0f70903ce06f066c229aa0c1d02cf203fa0e804

Observation 7c43157b-b5e7-462f-bc4c-5d44837d09ea · outbound

This paper cites an unresolved cited work.

Toroidal embedding of Chevalley groups over $\mathbb{Z}$ Unresolved cited work

Reference 101

Resolution
verified exact
doi, observed 2026-08-07T11:30:36.440389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:30:36.352355Z digest=sha256:58f222ee28955331fb1687766cbc8fe8b3f5d5ccaba297022d5aa47aaff7d8fa

Observation d2e64ed4-f9db-4d6b-9e2a-26a839e6e8ee · outbound

This paper cites Demazure et A.

Toroidal embedding of Chevalley groups over $\mathbb{Z}$ Demazure et A

Reference 152

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:36.499730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:30:36.381400Z digest=sha256:5c49fd77ffbcc40e5813bd6727275b8adaba4886325edf5068c0a1c582d6ec45

Observation e8c2338b-8e6e-44d4-9a98-37d83747d2d6 · outbound

This paper cites An equivariant compactification for adjoint reductive group schemes.

Toroidal embedding of Chevalley groups over $\mathbb{Z}$ An equivariant compactification for adjoint reductive group schemes

Reference 339

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:30:36.453608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:30:36.367989Z digest=sha256:902962b6bdf9dc0b04b1369e9035dcabfd5b7347e6fd31c470978fc194be196f

Observation 1cae28d5-cdf4-4d05-b0cb-d636627690f8 · outbound

This paper cites Éléments de géométrie algébrique. II. Étude globale élémentaire de quelques classes de morphismes.

Toroidal embedding of Chevalley groups over $\mathbb{Z}$ Éléments de géométrie algébrique. II. Étude globale élémentaire de quelques classes de morphismes

Reference 996

Resolution
verified exact
doi, observed 2026-08-07T11:30:36.431109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:30:36.364656Z digest=sha256:bdf9750c325abbb93bf1ec383a3bf76ce999cdf45591a3e5cef169cf1cfcb241

Observation 03ac6ba5-7834-4088-abb8-95045f4627f4 · outbound

This paper cites Hermann & Cie, Paris, 1948, p.

Toroidal embedding of Chevalley groups over $\mathbb{Z}$ Hermann & Cie, Paris, 1948, p

Reference 1064

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:36.472088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:30:36.391394Z digest=sha256:1d9aed61a3608e0d9e8fba6f333aee7cae17711be07d51967e12c6de97041253

Observation 71636506-577e-4ed9-ae8e-965aa55953ed · outbound

This paper cites Variétés abéliennes et courbes algébriques.

Toroidal embedding of Chevalley groups over $\mathbb{Z}$ Variétés abéliennes et courbes algébriques

Reference 2024

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:36.481775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:30:36.388427Z digest=sha256:2ea58e1a1fe13d40d0d5aa2f150c946c045601d103f56af9bd61368fbec79c62

Observation 5cc64439-7485-4af0-9485-173aa2a43658 · outbound

This paper cites Dual canonical bases and embeddings of symmetric spaces.

Toroidal embedding of Chevalley groups over $\mathbb{Z}$ Dual canonical bases and embeddings of symmetric spaces

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-07T11:30:36.357282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:30:36.357282Z digest=sha256:a5d4c71eab1b1ed86b024ad123c9c1e7e8b20561d5ac6f908ba237bb6a413208

Pith citing papers

No inbound Pith citation observations are available.