Paper Citation Record · LEDGER

Frobenius liftable hypersurfaces

As of 11 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2507.12198.

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

pith.paper-citation-record.v1
2507.12198 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:12:33.962867Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:58:03.972008Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T23:58:04.169439Z

Reference resolution

23 of 23 outbound references displayed

verified exact0
verified fuzzy13
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c10d2620-c031-4396-95b6-85411be77485 · outbound

This paper cites an unresolved cited work.

Frobenius liftable hypersurfaces Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:12:36.714373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation eea7960c-3fe5-43a3-b061-00feb3fc543c · outbound

This paper cites an unresolved cited work.

Frobenius liftable hypersurfaces Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:12:36.631414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 56151a47-cf3b-4bd5-9b8f-0efe34ad8876 · outbound

This paper cites an unresolved cited work.

Frobenius liftable hypersurfaces Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:12:36.532817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6b93b969-d067-4a48-a0a0-7d39fef40d59 · outbound

This paper cites 39, Cambridge University Press, Cambridge, 1993.

Frobenius liftable hypersurfaces 39, Cambridge University Press, Cambridge, 1993

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:36.433886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6613b9a1-b432-4e8d-9c14-f074cb453872 · outbound

This paper cites an unresolved cited work.

Frobenius liftable hypersurfaces Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:12:36.300289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 86ea31f6-a63f-4855-8835-a7b32ca5c546 · outbound

This paper cites an unresolved cited work.

Frobenius liftable hypersurfaces Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:12:36.173592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2f54147c-c30f-4bc8-89c6-3475545bf6e9 · outbound

This paper cites Dolgachev, Logarithmic sheaves attached to arrangements of hyperplanes, J.

Frobenius liftable hypersurfaces Dolgachev, Logarithmic sheaves attached to arrangements of hyperplanes, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:36.052012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 65ec88f0-1bea-446c-b1ee-53c3fe94a145 · outbound

This paper cites 52, Springer Science & Business Media, 2013.

Frobenius liftable hypersurfaces 52, Springer Science & Business Media, 2013

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:35.884052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 920b326e-5324-4585-8ef9-19c90f544680 · outbound

This paper cites 153 (2017), no.

Frobenius liftable hypersurfaces 153 (2017), no

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:35.718580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a3dde89f-a3b7-43d8-8ce9-1ea53accd153 · outbound

This paper cites log terminal and log canonical singularities , J.

Frobenius liftable hypersurfaces log terminal and log canonical singularities , J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:35.543229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bd474dab-3b70-45c6-adc6-29a3d8043e75 · outbound

This paper cites Katz, Nilpotent connections and the monodromy theorem: A pplications of a result of T urrittin , Inst.

Frobenius liftable hypersurfaces Katz, Nilpotent connections and the monodromy theorem: A pplications of a result of T urrittin , Inst

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:35.397382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 21cbccc5-0c91-430f-99a2-0d32c6785fd1 · outbound

This paper cites Extendability of differential forms via Cartier operators.

Frobenius liftable hypersurfaces Extendability of differential forms via Cartier operators

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T17:12:33.138469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c790ec65-b931-4d92-b3c2-cb3eaf6b0180 · outbound

This paper cites 134, Cambridge University Press, Cambridge, 1998, With the collaboration of C.

Frobenius liftable hypersurfaces 134, Cambridge University Press, Cambridge, 1998, With the collaboration of C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:35.200926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3d9bfd33-fe4e-4ac8-9c88-178f3e3f2b2b · outbound

This paper cites 200, Cambridge University Press, Cambridge, 2013, With a collaboration of S\' a ndor Kov\' a cs.

Frobenius liftable hypersurfaces 200, Cambridge University Press, Cambridge, 2013, With a collaboration of S\' a ndor Kov\' a cs

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:35.055472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b03c1e31-39bb-431f-9eb8-f5fd60d0d8b4 · outbound

This paper cites On Frobenius liftability of surface singularities.

Frobenius liftable hypersurfaces On Frobenius liftability of surface singularities

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T17:12:33.395612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24efb2e7-0a61-4507-98d7-a283530c88c0 · outbound

This paper cites Liftability and vanishing theorems for Fano threefolds in positive characteristic I.

Frobenius liftable hypersurfaces Liftability and vanishing theorems for Fano threefolds in positive characteristic I

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T17:12:33.484636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33db3e27-46de-4dc8-b17e-bfade4779e10 · outbound

This paper cites Algebraic Geom.

Frobenius liftable hypersurfaces Algebraic Geom

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:34.931055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 158a395a-e2b9-4c47-86a0-d4afd3686ced · outbound

This paper cites Dedicata 217 (2023), no.

Frobenius liftable hypersurfaces Dedicata 217 (2023), no

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:34.799023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 487feaf4-82fd-4105-86e0-f9e32e861265 · outbound

This paper cites Wi\' s niewski, On E uler- J aczewski sequence and R emmert-van de V en problem for toric varieties , Math.

Frobenius liftable hypersurfaces Wi\' s niewski, On E uler- J aczewski sequence and R emmert-van de V en problem for toric varieties , Math

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:34.646792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2a1af8fd-9cb1-44db-ade4-7b154e8fcd74 · outbound

This paper cites Smith, Globally F -regular and log F ano varieties , Adv.

Frobenius liftable hypersurfaces Smith, Globally F -regular and log F ano varieties , Adv

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:34.488683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ec1174a9-37a1-416b-956b-4f8f4e4d7f2b · outbound

This paper cites an unresolved cited work.

Frobenius liftable hypersurfaces Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T17:12:33.810857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce69539b-9710-41ee-93e0-354bc4d09bcf · outbound

This paper cites an unresolved cited work.

Frobenius liftable hypersurfaces Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:12:34.342510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 449d4507-d43c-46b3-bebb-7cda03363939 · outbound

This paper cites van der Geer and T.

Frobenius liftable hypersurfaces van der Geer and T

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:34.194760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation f67c8692-0359-45d4-8783-d0669102674c · inbound

Images of toric variety and amplified endomorphism of weak Fano threefolds cites this paper.

Images of toric variety and amplified endomorphism of weak Fano threefolds Frobenius liftable hypersurfaces

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:58:04.174964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.