Paper Citation Record · LEDGER

Pathological MMP singularities as $\alpha_p$-quotients

As of 11 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2501.01179.

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

pith.paper-citation-record.v1
2501.01179 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:43:29.217733Z

measured 12 of 12 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

12 of 12 outbound references displayed

verified exact7
verified fuzzy1
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a48201c5-a8e8-4ae3-bc29-7910167d9a11 · outbound

This paper cites The Frobenius--stable version of the Grauert--Riemenschneider vanishing theorem fails.

Pathological MMP singularities as $\alpha_p$-quotients The Frobenius--stable version of the Grauert--Riemenschneider vanishing theorem fails

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:28.986495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cccfbfa8-a5af-4efa-9b1f-f890d2817652 · outbound

This paper cites On the projectivity of the moduli space of stable surfaces in characteristic p>5.

Pathological MMP singularities as $\alpha_p$-quotients On the projectivity of the moduli space of stable surfaces in characteristic p>5

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:43:29.591538Z

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 3e12a276-4c98-424e-944e-67c2440ff764 · outbound

This paper cites On $F$-pure inversion of adjunction.

Pathological MMP singularities as $\alpha_p$-quotients On $F$-pure inversion of adjunction

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:43:29.317789Z

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 f41684e6-275f-448a-948e-619615e0dd6b · outbound

This paper cites Terminal 3-folds that are not Cohen-Macaulay.

Pathological MMP singularities as $\alpha_p$-quotients Terminal 3-folds that are not Cohen-Macaulay

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:29.217733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7e55c7a-e728-4f43-b18a-07f87039297a · outbound

This paper cites an unresolved cited work.

Pathological MMP singularities as $\alpha_p$-quotients Unresolved cited work

Reference 1998

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:43:29.784884Z

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 2554204e-27af-4e22-ab50-7d30ced5023f · outbound

This paper cites A criterion for $p$-closedness of derivations in dimension two.

Pathological MMP singularities as $\alpha_p$-quotients A criterion for $p$-closedness of derivations in dimension two

Reference 2011

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:43:29.613906Z

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 089f9653-4aaa-4906-89e3-76559e0607f9 · outbound

This paper cites [KS11] S´ andor J.

Pathological MMP singularities as $\alpha_p$-quotients [KS11] S´ andor J

Reference 2018

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:29.712181Z

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 7c573e26-e221-4361-ab53-48716f816307 · outbound

This paper cites On Base Change of Local Stability in Positive Characteristics.

Pathological MMP singularities as $\alpha_p$-quotients On Base Change of Local Stability in Positive Characteristics

Reference 2019

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:43:29.637378Z

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 eaeb8d5c-0139-45bd-a57f-0fd64c3624e2 · outbound

This paper cites On the singularities of quotients by 1-foliations.

Pathological MMP singularities as $\alpha_p$-quotients On the singularities of quotients by 1-foliations

Reference 2021

Resolution: verified exact; raw_fallback, observed 2026-08-10T22:43:29.570688Z

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 5a03ebc2-016a-47a8-a8a7-b18e5769f92c · outbound

This paper cites On the properness of the moduli space of stable surfaces over $\mathbb{Z}[1/30]$.

Pathological MMP singularities as $\alpha_p$-quotients On the properness of the moduli space of stable surfaces over $\mathbb{Z}[1/30]$

Reference 2022

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:43:29.695056Z

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 d49e9bce-7147-4f0a-bdff-229f60b98302 · outbound

This paper cites Duality between Cartier crystals and perverse $\mathbb{F}_p$-sheaves, and application to generic vanishing.

Pathological MMP singularities as $\alpha_p$-quotients Duality between Cartier crystals and perverse $\mathbb{F}_p$-sheaves, and application to generic vanishing

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:28.980647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 889a5436-0c89-4dee-90bf-8366fecf1ae7 · outbound

This paper cites Resolution of $1$-foliations singularities on surfaces and threefolds.

Pathological MMP singularities as $\alpha_p$-quotients Resolution of $1$-foliations singularities on surfaces and threefolds

Reference 2024

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:43:29.424526Z

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

No inbound Pith citation observations are available.