Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-01T02:55:28.288514Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2606.31666.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-01T02:55:28.288514Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
50 of 50 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation debd8a60-2c0f-421e-a7ee-c7d10a1cd080 · outbound
Quasi-$F$-singularities and singularities in birational geometry Aberbach , M
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation de92b95a-b382-4ee2-a1fb-45cfd9ee2c66 · outbound
Quasi-$F$-singularities and singularities in birational geometry Baudin , A quasi- F -split K -trivial surface which is not quasi- F^ -split , private note ( 2026 )
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f68b3d19-b1f2-4a2d-ae95-1beece22a768 · outbound
Quasi-$F$-singularities and singularities in birational geometry K3 surfaces of any Artin-Mazur height over $\mathbb{F}_5$ and $\mathbb{F}_7$ via quasi-$F$-split singularities and GPU acceleration
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 38f55874-3610-4257-9b01-b48f8a9065ef · outbound
Quasi-$F$-singularities and singularities in birational geometry Perfectoid pure singularities
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8d954286-1f58-456c-8d90-70b7a6b1b753 · outbound
Quasi-$F$-singularities and singularities in birational geometry Cascini , H
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 44a20771-53ee-4f47-9dfc-0abbe2fd840e · outbound
Quasi-$F$-singularities and singularities in birational geometry Das , On strongly F -regular inversion of adjunction , J
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d8e938f9-ac2c-4119-843f-ce6a83ca7834 · outbound
Quasi-$F$-singularities and singularities in birational geometry Fedder , F -purity and rational singularity , Trans
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 64b1a11d-8c8e-48da-be05-2beae43ae093 · outbound
Quasi-$F$-singularities and singularities in birational geometry Fedder , K
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4cc820ec-ef75-4a2c-82c4-549b110c6afd · outbound
Quasi-$F$-singularities and singularities in birational geometry Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 395781e9-57d7-4f8f-ac75-de3e7a901766 · outbound
Quasi-$F$-singularities and singularities in birational geometry Glassbrenner , Strong F -regularity in images of regular rings , Proc
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5972dbfa-68b7-4283-b6c1-6d4e87b453a6 · outbound
Quasi-$F$-singularities and singularities in birational geometry Hara , Classification of two-dimensional F -regular and F -pure singularities , Adv
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 80c00840-401f-49cf-b191-83aa7aa3db77 · outbound
Quasi-$F$-singularities and singularities in birational geometry Hochster , C
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9cd76ac4-d85c-4a73-b8ea-9c189c1ea981 · outbound
Quasi-$F$-singularities and singularities in birational geometry Hochster , C
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 68c105a0-4ec5-49d5-8126-2a377a9600cc · outbound
Quasi-$F$-singularities and singularities in birational geometry Hochster , J
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ac6e1f21-48b6-4fd3-9c02-fc20b243e907 · outbound
Quasi-$F$-singularities and singularities in birational geometry Hara , K.-i
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d6030cea-c4a6-4abc-b353-27cde7db2faa · outbound
Quasi-$F$-singularities and singularities in birational geometry Illusie , Complexe de de Rham--Witt et cohomologie cristalline , Ann
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 582b3222-507c-4389-b3c7-9ee14e6b5c50 · outbound
Quasi-$F$-singularities and singularities in birational geometry On Steenbrink vanishing for rational singularities in positive characteristic
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5e43df6f-22ed-495b-b784-bfd97cfb9e64 · outbound
Quasi-$F$-singularities and singularities in birational geometry Kawakami , Extendability of differential forms via Cartier operators , J
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9e72235d-31e2-4e36-89b4-9a5995ccbefb · outbound
Quasi-$F$-singularities and singularities in birational geometry Extending one-forms on $F$-regular singularities
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d1ee2659-6682-4d89-a853-1253822582bc · outbound
Quasi-$F$-singularities and singularities in birational geometry Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7b381481-1382-40b1-9305-1c0fa5c22ef7 · outbound
Quasi-$F$-singularities and singularities in birational geometry Kawakami , T
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3c5e8df0-5ff7-441f-8ef5-26ea268bc1f1 · outbound
Quasi-$F$-singularities and singularities in birational geometry Quasi- F -splittings in birational geometry III
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 82c296bd-b1ed-4ebc-9051-944e0fbcd031 · outbound
Quasi-$F$-singularities and singularities in birational geometry Kawakami , T
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1f05f87b-5a84-4122-ad52-f2bedf083891 · outbound
Quasi-$F$-singularities and singularities in birational geometry Kawakami , T
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6a22d11d-5c50-43b9-a07c-e2b126893c7e · outbound
Quasi-$F$-singularities and singularities in birational geometry Kawakami , T
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 24956467-da61-4d8a-816e-eeb24acb549a · outbound
Quasi-$F$-singularities and singularities in birational geometry Lipman , B
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e9826da5-25ea-4137-a50e-2082aae25206 · outbound
Quasi-$F$-singularities and singularities in birational geometry Musta t a , S
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e8487349-32f7-4b28-84a2-e567eb26757a · outbound
Quasi-$F$-singularities and singularities in birational geometry Nakkajima , F
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 632ed040-61f9-4456-83fd-1b1035e2db2e · outbound
Quasi-$F$-singularities and singularities in birational geometry Decomposition of de Rham complex for quasi-F-split varieties
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c014bb3d-b73d-4a88-8455-f122c11dd134 · outbound
Quasi-$F$-singularities and singularities in birational geometry Polstra , A
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fc445c19-26c6-4f1c-a8c2-f79dd806eaba · outbound
Quasi-$F$-singularities and singularities in birational geometry Schwede , F -adjunction , Algebra Number Theory 3 ( 2009 ), no
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c1b7582c-b987-4b34-9303-cf9db4c136f6 · outbound
Quasi-$F$-singularities and singularities in birational geometry Schwede , F -injective singularities are Du Bois , Amer
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c5cc9b05-46e8-4586-9a3e-652ebe0805b0 · outbound
Quasi-$F$-singularities and singularities in birational geometry Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 324e010c-3ac1-45e3-8d42-ce071d4e54a4 · outbound
Quasi-$F$-singularities and singularities in birational geometry Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 20a2e8d1-c277-4e2d-83d1-895120ecd376 · outbound
Quasi-$F$-singularities and singularities in birational geometry Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0e33c6d1-a055-4f5d-a9c5-bded613fd3de · outbound
Quasi-$F$-singularities and singularities in birational geometry Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6409eb36-fe56-4a0c-a441-b5d66b0dd779 · outbound
Quasi-$F$-singularities and singularities in birational geometry Sato , S
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6af436e0-5b26-4a16-9404-82957559eb03 · outbound
Quasi-$F$-singularities and singularities in birational geometry Sato , S
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1760cac0-d1c2-46da-af0a-ce75389badc1 · outbound
Quasi-$F$-singularities and singularities in birational geometry Sato , S
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8329ac62-d4e7-432c-ae4f-6f7533c65ad6 · outbound
Quasi-$F$-singularities and singularities in birational geometry Takamatsu , Macaulay2 scripts for Fedder type criteria for quasi- F -splitting , available at https://sites.google.com/view/teppei-takamatsu/home/scripts
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 96222402-f78d-4fb2-88b6-a891ff0d04c7 · outbound
Quasi-$F$-singularities and singularities in birational geometry Tanaka , Vanishing theorems of Kodaira type for Witt canonical sheaves , Selecta Math
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1316d068-1f75-478e-a55d-df5c1b768130 · outbound
Quasi-$F$-singularities and singularities in birational geometry Takagi , R
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d319a710-cd72-4da4-b213-83922c8c3562 · outbound
Quasi-$F$-singularities and singularities in birational geometry Takagi , K.-i
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation aa152081-48a0-465f-b9f2-b04b7e8602a5 · outbound
Quasi-$F$-singularities and singularities in birational geometry Takagi , K.-i
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 384d31c2-bb80-4269-b98f-ed7a2196feee · outbound
Quasi-$F$-singularities and singularities in birational geometry Quasi-$F^e$-splittings and quasi-$F$-regularity
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d85654ca-f267-4423-b50b-9b2cc9d4c0ec · outbound
Quasi-$F$-singularities and singularities in birational geometry arXiv preprint arXiv:2602.14792 , year =
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 26480248-678e-46de-8cde-1990e7c7afd4 · outbound
Quasi-$F$-singularities and singularities in birational geometry Yobuko , Quasi-Frobenius splitting and lifting of Calabi--Yau varieties in characteristic p , Math
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9245d9cd-c1d9-4d43-96bf-690a20f73d86 · outbound
Quasi-$F$-singularities and singularities in birational geometry Computation method for perfectoid purity and perfectoid BCM-regularity
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e587f428-42fe-4064-be3f-0cad73d77653 · outbound
Quasi-$F$-singularities and singularities in birational geometry Fedder-type criterion for quasi-$F^e$-splitting and quasi-$F$-regularity
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b861dd60-995b-4598-abba-33d4e95161e2 · outbound
Quasi-$F$-singularities and singularities in birational geometry Zhu , Log canonical thresholds in positive characteristic , Math
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
No inbound Pith citation observations are available.