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Paper Citation Record · LEDGER

Frobenius liftable hypersurfaces

As of 18 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.143941Z digest=sha256:2560e74d835bc3a928217ef38cd55accdbff3751fc6a90d6c466705576db0e68

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.214649Z digest=sha256:60987d3f26173144054c81051ceace6ee0a7b39357f42492dcaf16450d273d10

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.317344Z digest=sha256:12c1fe2253786824f8e3e241e63dfbff40e7f4125f55508192371227c3ddc19b

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.422113Z digest=sha256:c87bacb9884e1bac5aba3375f53937beebd67b2d4492d8dc670a319b88878ab7

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.513889Z digest=sha256:596126abfd26354730df3490fc1e69150035122fe2e04e65902a7ed2d796da83

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.596584Z digest=sha256:a89b0d713c933e0a7d57a289f840b09a0d6781ab8a9bf1090736efd736423f25

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.684804Z digest=sha256:e5189bb611c6fafc03361c157daed9178d3899c5a86af4961037bf52eec8cd2e

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.772232Z digest=sha256:31a8e8e1317e767f358b6aa1dcca465e9cae6774edc7d950bfe7c57e8b5b2475

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.872279Z digest=sha256:2820ad80d3edd3c8cf32266e305ffbd777f4c403cffef94d4381664881810211

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:32.951828Z digest=sha256:ecf2fe36b1665c9ab1cd536c18c2015d072e15670029551398d4b9c4947c69d8

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.040268Z digest=sha256:dc2206189bf9a0a56808d8ba8daa199a12445a7ee91bd89e14193028663aa9f2

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=sha256:6ce6f6d9ce517f727938b9cfb3bc8a6fa3549d822eeeb4743137a9533091d057

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.235068Z digest=sha256:5d241a692eb22345966e1c8bea8273274cfe9b774975251e23586b57eb2040a7

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.328497Z digest=sha256:ba37fd87fa11d53ef683184ba90b8eedea18f3052ae430d7021a0fc6e0484e5f

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:c337bd6178431c22a40e4a0f3152b4d00c43f21017b0be5370ec77997673e130

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=sha256:7972265214040a2d0b6e8f7bc3efd077733d7d8fd05f9dcfd603b0ca18466a34

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.555521Z digest=sha256:da88aab6de664a4bb3f21e52eac480e70370cb885001219325a634c36271d907

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.608888Z digest=sha256:8a62944787c34729263dbdf87f8a9e315400782c6cd459f531790b08b47734ab

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.682321Z digest=sha256:95efb2d2c0b12a4a87e0319a4fe77d298e49f2ece47262984acc37ca096376ff

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.758197Z digest=sha256:62ae7e5259ae097d3cacb9611a708af0b7d84ad858a802c97c6135e567cdd108

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=sha256:7f77a47c8902a4bd8be16f109911aa13d1697d76ead8ae63d1a97ddfbf50921e

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.883269Z digest=sha256:75ccfd091e10440ffa39b65039864f0a8bcfeb291fd2bd873f4614313bff97fd

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T17:12:33.962867Z digest=sha256:c12eaf44a3fb4b3d54aa05ccb9f746863dfe66e095a4a0b0f429df4056c295d2

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T23:58:03.972008Z digest=sha256:63a7b2a01b22b5944e8e8cac7f7b8a0f7212da38305154d1622deef9dd00aa32