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Paper Citation Record · LEDGER

Frobenius liftable hypersurfaces

As of 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.143941Z digest=sha256:fee8bc44d178084d7cbf40a7990400b5799a792bd7a4e64badd08a5df60b1101

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.214649Z digest=sha256:4c1bb84dcb85cbc9a438c3e34a4aa5a4badd6b63bdadf2fad98e07c2663a26ce

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.317344Z digest=sha256:4dae08131172290e316f190adf9c278005438fda7bc85c09c041c521840388f7

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.422113Z digest=sha256:ec6d20c968f5be17d8445936af24f3f1eb560c99730a843d5ddd7befb44b9bd9

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.513889Z digest=sha256:80c8951df6268565e08bbffde9ab3654e9a417b43d18f02e09d704c13cdf8ea6

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.596584Z digest=sha256:cce6e98a70a16ebf804ea8054cbca9475afa8d6b98fa4d8282fd7a62c5650351

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.684804Z digest=sha256:fec5cfe89822e3db13ed7494edab17f5334076c7730f9e4a8e5ce3d171840ef3

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.772232Z digest=sha256:57eb6d24f29f12eaf3014e4890c9fdd4bca7638eb11b69e0382a0bc90f6ccbd3

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.872279Z digest=sha256:c71e0a097a68cbe872e3861232e15b0d3e561241d0674317c277f4d4de61ef21

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.951828Z digest=sha256:d083578d6de461b4885dcd1f0217cc251b0fb27641111a37e49912a5c7d43f6f

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.040268Z digest=sha256:11db10ee5479c965478f695f4e249ea37b58c6962e36040203cc4a7d696c8d3f

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.

source=arxiv_source observed=2026-08-06T17:12:33.138469Z digest=sha256:63356b9132470d8ce6d945c6c1e87a3e30bf513d25d0b0eb7ce2ac5d81d6f1b2

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.235068Z digest=sha256:d59563f848fce32fa69bddce4a2bb98bf0cc1553f25d4c03ec5cbc1f363ac908

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.328497Z digest=sha256:07ddd3713358d9f45f7a41674994ba494668a892b03bbf301f2b1c1d6f0031a1

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.

source=arxiv_source observed=2026-08-06T17:12:33.395612Z digest=sha256:63003946aa57689002cf28ce575f9dadda89f3048f0d5180a3a404afdde274d2

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.

source=arxiv_source observed=2026-08-06T17:12:33.484636Z digest=sha256:cd845196c978c1838980b2b70444af54b8b8ee3d752ce7e9b4c5dc18460ab8d7

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.555521Z digest=sha256:c4e1f8f2af2e7103ca3e0b9dfcd661b74131a0086ec82da4dfe6b1f84ed41dbc

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.608888Z digest=sha256:5b18bb82cd2fe67035d0d5c039ff6c8d58350e6aaaff6b6f080375fb0060f3cd

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.682321Z digest=sha256:92d916175654da7669de7c2116228f5b005e72ced1a2f4f1067254bea9b2a6d9

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.758197Z digest=sha256:573ec91874750763cb1d0a2a45a9e95c362217600a2bf1434639a89be5b5d08d

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.

source=arxiv_source observed=2026-08-06T17:12:33.810857Z digest=sha256:1d1b493ad881dc49abf2b73c3a3a1fdb3fd19675361263e522ad857b56a176d3

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.883269Z digest=sha256:f1c7995f172842495ce06d48da69e7779a3bda123433ae1026112b81d3751f85

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.962867Z digest=sha256:3382a56b3a7319ac2a88de8288071a991dba473c009e063becbe47a2efcf96f2

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T23:58:03.972008Z digest=sha256:ef19cc5dbba190b390df05e98a42997c16e610739a5af99b3bb4a7729384105f