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Paper Citation Record · LEDGER

Lifting Frobenius splittings through geometric vertex decomposition

As of 9 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.339090Z digest=sha256:6c6e73c97406e99ac2d760e040266fe121875657f96759ad473c33ffeabfeaab

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.342711Z digest=sha256:b8fc94a64afac57300781739779b96857a6a2a1bfe88cfb9ca7444612439d2e9

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.346582Z digest=sha256:30e5df85721b9e54d4cf7a73ef47079a5bc50f826ea5e0e878b1cb6741c718d2

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 2026-08-08T06:32:00.761636+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
raw_fallback, observed 2026-08-05T10:26:46.589793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.358602Z digest=sha256:1855f139173ee96c1514a83a8dbd42eb14b3db448c900a282d892e849aa79ec4

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.362126Z digest=sha256:f0dbe832040cc8859614069519dee24712922b7abba1b514d0d45a60999e5c7c

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.365846Z digest=sha256:27ed147104a281be24bba0e8f75886e161edb22eb4df46a4b2014f570f15ca47

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.369826Z digest=sha256:8547247d4675690bd5e170ebfd81fe4aac70769039e54f13d5d0e65b7dd588b5

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.373103Z digest=sha256:c1c13d7617086ab4ba96f2b7ac1b7f4731560199f955ffcb3030a2da8c42bf8e

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:a1c3baca9765bc54bff1e9e1d696a449699352c67f8fa92b7e4741b406d7a36d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.380353Z digest=sha256:4d2074c200261b60353a5f70883e93997096c14295f1d4a4e18f96845a048b9c

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.383429Z digest=sha256:b14ef0beec8b83ae6d95113fd1e21c6192994c517e485996feda69d7cdcfa889

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.386580Z digest=sha256:7935d16ddb1bb613f177ac30ed7611216343de6ed565961550c1b6c591d44ca2

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.389552Z digest=sha256:bb7e157f848d2f67907e94797c3c34f23687679d422352e0d79701e06c590d73

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 2026-08-08T06:32:00.761636+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
raw_fallback, observed 2026-08-05T10:26:46.480410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.399139Z digest=sha256:a8902399feb3697d97b7f21b2f65034cc06f48b3bb0539eea2a4efb28d2856b9

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
raw_fallback, observed 2026-08-05T10:26:46.459497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+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
raw_fallback, observed 2026-08-05T10:26:46.447227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T10:26:46.406217Z digest=sha256:87f48e570b20138757ed5f37b6c27e7acf2e014cc42fe1efbfcc71b1b6987d35

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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