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Paper Citation Record · LEDGER

Lifting Frobenius splittings through geometric vertex decomposition

As of 19 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2509.04364.

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

pith.paper-citation-record.v1
2509.04364 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:26:46.406217Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T09:57:28.169569Z

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 exact0
  • verified fuzzy11
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3451f8f9-9d3c-4b4e-bad0-ce2a9f41fecd · outbound

This paper cites 231, Birkh\"auser Boston, Inc., Boston, MA, 2005.

Lifting Frobenius splittings through geometric vertex decomposition 231, Birkh\"auser Boston, Inc., Boston, MA, 2005

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 11ae9e5a-3ec5-484b-9f0d-ae613c1957f3 · outbound

This paper cites an unresolved cited work.

Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:26:46.636010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation bd716909-8281-4d86-9877-1cf2b3ed0b89 · outbound

This paper cites an unresolved cited work.

Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:26:46.626586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.339090Z digest=sha256:86743f2f739dc42c4d3f9143ab0354f6772e4c74f419ef18056d1d5b1eeeb206

Observation 3f7adae8-d9e0-4682-b50c-db99b03ce17a · outbound

This paper cites 3, 713--730.

Lifting Frobenius splittings through geometric vertex decomposition 3, 713--730

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.342711Z digest=sha256:3cf7014bcbd210037f478e9a81082d12d037b5fad6531c1d0242bb04059dfae7

Observation 25caa278-4500-4d0a-aa0c-253989d94343 · outbound

This paper cites an unresolved cited work.

Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:26:46.608135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.346582Z digest=sha256:4414c78799d4a6aa53dea5180216d566517352374e0e98a0c108a0c7dacb39f6

Observation 3076a5be-9c0a-426c-a0f6-628b08095638 · outbound

This paper cites an unresolved cited work.

Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:26:46.599031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 66cf30df-25fc-4786-ba87-0464a0ea6f1c · outbound

This paper cites an unresolved cited work.

Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work

Reference 7

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 249a8fa2-4e48-4e85-bbc0-bdf513f37750 · outbound

This paper cites an unresolved cited work.

Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:26:46.579937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.358602Z digest=sha256:9a3f6aadc4fb73bf2dd4d7adbcb6e73ade68f7142ad0071dadfca2caeef707db

Observation fbe117aa-6153-4fe7-ae9a-502cd8c88bd4 · outbound

This paper cites an unresolved cited work.

Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:26:46.570499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.362126Z digest=sha256:d248f9a9bf6a987fbcdab71f171e0acf6b673f0a9639edc6e0cf3cf53bf98385

Observation 3476d522-94f9-486e-a718-d29b8da47f40 · outbound

This paper cites Roberts, Rings of invariants of reductive groups acting on regular rings are C ohen- M acaulay , Advances in Math.

Lifting Frobenius splittings through geometric vertex decomposition Roberts, Rings of invariants of reductive groups acting on regular rings are C ohen- M acaulay , Advances in Math

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:26:46.560179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.365846Z digest=sha256:07182466352d0c148dfff69575221effd28cc0148de73706d91ca6522d531799

Observation 10f151f0-41ce-43ce-bfa8-6ef45739dd60 · outbound

This paper cites Algebra 53 (2025), no.

Lifting Frobenius splittings through geometric vertex decomposition Algebra 53 (2025), no

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.369826Z digest=sha256:07c5f226543f02e36a395bf8039fc4b93ae9c7bba66d8e7bcbc57ed82605cbee

Observation 3171620b-bf58-4828-9c59-8e29c92c5035 · outbound

This paper cites Reine Angew.

Lifting Frobenius splittings through geometric vertex decomposition Reine Angew

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.373103Z digest=sha256:b6899cdb32889d8ca51273990df7c4a64e4e25cf3d5d0d0244a1b21f3c0b5059

Observation 83dd3ba7-dd70-4b26-9949-9e2080f45e2c · outbound

This paper cites Frobenius splitting, point-counting, and degeneration.

Lifting Frobenius splittings through geometric vertex decomposition Frobenius splitting, point-counting, and degeneration

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-05T10:26:46.376708Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:26:46.376708Z digest=sha256:0e4471b3bbb37a88cbae8a898a1dcdfc232e11ad5e1418491822e37587ab0663

Observation 06e0776c-4c00-4776-9a7b-0b4c12c767cd · outbound

This paper cites Sigma 9 (2021), Paper No.

Lifting Frobenius splittings through geometric vertex decomposition Sigma 9 (2021), Paper No

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 88a7440b-2508-400e-97b7-9ce45b538aed · outbound

This paper cites an unresolved cited work.

Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:26:46.521494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.383429Z digest=sha256:9a999d29f3103cf14480d4aad7d3dcbee298de7a046fb32cf9bdb2f82af95395

Observation 30fdb699-c6ac-41a4-a77e-69796a0f9f75 · outbound

This paper cites Lakshmibai, V.

Lifting Frobenius splittings through geometric vertex decomposition Lakshmibai, V

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:26:46.511937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.386580Z digest=sha256:8eaff885b8b4ea58399aa6eb40a8a2f7c9be063881db2d565af09e71c840caf2

Observation 761688d4-aa9d-4c07-aff3-e5deb9e87dd1 · outbound

This paper cites an unresolved cited work.

Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:26:46.501904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.389552Z digest=sha256:452c712b0d23b78a94f6636161bc700cfdc1106626e973dab52bac40f3ca699e

Observation 8ed8c121-99e2-467e-9184-215e6db98393 · outbound

This paper cites 1, 107--119.

Lifting Frobenius splittings through geometric vertex decomposition 1, 107--119

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation a5078e50-a121-44ee-bdf3-1b6f768b35ee · outbound

This paper cites 8, 907--950.

Lifting Frobenius splittings through geometric vertex decomposition 8, 907--950

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation a244700e-e643-489d-a919-a2015eba5737 · outbound

This paper cites an unresolved cited work.

Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:26:46.470116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.399139Z digest=sha256:2a876db0ddc1e138888e7c96e0f35101305ef46a00d81dca119f83cf490516e5

Observation 77984b67-b2c4-41fb-a989-3456bf5bcd0b · outbound

This paper cites 12, 106788.

Lifting Frobenius splittings through geometric vertex decomposition 12, 106788

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 1430c169-e4f0-438e-9b87-0fea43600efa · outbound

This paper cites Singh, Deformation of F -purity and F -regularity , J.

Lifting Frobenius splittings through geometric vertex decomposition Singh, Deformation of F -purity and F -regularity , J

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Pith citing papers

Observation 56e5e849-75b8-46f9-8bb4-f1c2f30e987c · inbound

Geometrically vertex decomposable star configurations cites this paper.

Geometrically vertex decomposable star configurations Lifting Frobenius splittings through geometric vertex decomposition

Reference 11

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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