Paper Citation Record · LEDGER

The constant scalar curvature K\"ahler condition is very general

As of 21 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 2 inbound Pith citation observations for arXiv:2504.15195.

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

pith.paper-citation-record.v1
2504.15195 v3

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:40:20.403844Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:05:38.020963Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T01:06:25.011105Z

Reference resolution

37 of 37 outbound references displayed

verified exact3
verified fuzzy25
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 12344078-c8be-495f-acdf-e83933ee0392 · outbound

This paper cites Reductivity of the automorphism group of K -polystable Fano varieties.

The constant scalar curvature K\"ahler condition is very general Reductivity of the automorphism group of K -polystable Fano varieties

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.831603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dccdee94-4aab-4d77-93fa-16047dc8aac3 · outbound

This paper cites Constant scalar curvature K \"ahler metrics on ramified G alois coverings.

The constant scalar curvature K\"ahler condition is very general Constant scalar curvature K \"ahler metrics on ramified G alois coverings

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.820577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e1c3d6b5-5e50-400b-9314-901ab26ad776 · outbound

This paper cites Uniform K -stability, D uistermaat- H eckman measures and singularities of pairs.

The constant scalar curvature K\"ahler condition is very general Uniform K -stability, D uistermaat- H eckman measures and singularities of pairs

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.809051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ec291bd3-6cdf-4d07-bb4d-7ae42ffd9dc2 · outbound

This paper cites The normalized volume of a singularity is lower semicontinuous.

The constant scalar curvature K\"ahler condition is very general The normalized volume of a singularity is lower semicontinuous

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.797573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 68cdddc6-a263-432f-a074-6e495f779b26 · outbound

This paper cites Openness of uniform K -stability in families of Q - F ano varieties.

The constant scalar curvature K\"ahler condition is very general Openness of uniform K -stability in families of Q - F ano varieties

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.785987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8300bac0-be9b-43b1-89ec-3d506543d069 · outbound

This paper cites Openness of K -semistability for Fano varieties.

The constant scalar curvature K\"ahler condition is very general Openness of K -semistability for Fano varieties

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.774924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f6ba3d7c-76ba-40b6-8658-836a141c5191 · outbound

This paper cites Uniqueness of K -polystable degenerations of F ano varieties.

The constant scalar curvature K\"ahler condition is very general Uniqueness of K -polystable degenerations of F ano varieties

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.763871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 08c605e2-345c-48ac-8157-2f7fd45b8bcc · outbound

This paper cites Positivity of the CM line bundle for families of K -stable klt F ano varieties.

The constant scalar curvature K\"ahler condition is very general Positivity of the CM line bundle for families of K -stable klt F ano varieties

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T11:40:20.299075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6fae1db5-8516-4cb6-8107-ee19af4a7a81 · outbound

This paper cites Infinitesimal deformations of double covers of smooth algebraic varieties.

The constant scalar curvature K\"ahler condition is very general Infinitesimal deformations of double covers of smooth algebraic varieties

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.745989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 20677ddb-13f7-42ab-9081-3288b06abb63 · outbound

This paper cites Uniform stability of twisted constant scalar curvature K \"ahler metrics.

The constant scalar curvature K\"ahler condition is very general Uniform stability of twisted constant scalar curvature K \"ahler metrics

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.735195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9508babc-f2bc-4963-8e5c-df2f4c9db8a0 · outbound

This paper cites Moduli of polarised manifolds via canonical K \"ahler metrics.

The constant scalar curvature K\"ahler condition is very general Moduli of polarised manifolds via canonical K \"ahler metrics

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.723303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 07839b63-1dc5-4b4d-b6b6-c5426d7a710f · outbound

This paper cites Donaldson.

The constant scalar curvature K\"ahler condition is very general Donaldson

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.711874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8657439c-656c-4e84-97b4-0b26ba879b68 · outbound

This paper cites Donaldson.

The constant scalar curvature K\"ahler condition is very general Donaldson

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.700179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f30dafd7-f8e3-4529-8880-245feda905bf · outbound

This paper cites Algebraic families of constant scalar curvature K \"ahler metrics.

The constant scalar curvature K\"ahler condition is very general Algebraic families of constant scalar curvature K \"ahler metrics

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.688629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 65c4c9c8-a3bd-4092-9d2c-58be8c95b07c · outbound

This paper cites Arcs, stability of pairs and the Mabuchi functional.

The constant scalar curvature K\"ahler condition is very general Arcs, stability of pairs and the Mabuchi functional

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T11:40:20.323581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b01d7bb0-6d7b-419b-9ba0-f50fed298e14 · outbound

This paper cites Fine and J.

The constant scalar curvature K\"ahler condition is very general Fine and J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.677354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e32ed498-2c2d-4bd8-bb41-ae405ef08f68 · outbound

This paper cites The moduli space of extremal compact K \"ahler manifolds and generalized W eil- P etersson metrics.

The constant scalar curvature K\"ahler condition is very general The moduli space of extremal compact K \"ahler manifolds and generalized W eil- P etersson metrics

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T11:40:20.330564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aaeb9346-3df5-4502-8e58-519b5d14d07f · outbound

This paper cites Boundedness of Q - F ano varieties with degrees and alpha-invariants bounded from below.

The constant scalar curvature K\"ahler condition is very general Boundedness of Q - F ano varieties with degrees and alpha-invariants bounded from below

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.657536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 97142066-ecc1-4b84-a0ac-ffe0af0e2611 · outbound

This paper cites The projectivity of the moduli space of stable curves I : preliminaries on det and D iv.

The constant scalar curvature K\"ahler condition is very general The projectivity of the moduli space of stable curves I : preliminaries on det and D iv

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.646408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ee94f68b-3976-4a91-9ea7-c424ff3a500e · outbound

This paper cites On the proper moduli spaces of smoothable K \"ahler- E instein F ano varieties.

The constant scalar curvature K\"ahler condition is very general On the proper moduli spaces of smoothable K \"ahler- E instein F ano varieties

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T11:40:20.341245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c079112-1454-4e99-b567-9faea7b7c883 · outbound

This paper cites Finite generation for valuations computing stability thresholds and applications to K -stability.

The constant scalar curvature K\"ahler condition is very general Finite generation for valuations computing stability thresholds and applications to K -stability

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.627788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 917ccbc8-79d2-4e52-98a4-27ef000dba54 · outbound

This paper cites Mumford, J.

The constant scalar curvature K\"ahler condition is very general Mumford, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.616717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 224239f6-d2fa-453d-b7af-956ff3a751a0 · outbound

This paper cites On the moduli of K \"ahler-- E instein F ano manifolds.

The constant scalar curvature K\"ahler condition is very general On the moduli of K \"ahler-- E instein F ano manifolds

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.604935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ae6f6259-0b5c-443a-8ae5-d15c18459569 · outbound

This paper cites Moment maps and stability of holomorphic submersions.

The constant scalar curvature K\"ahler condition is very general Moment maps and stability of holomorphic submersions

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T11:40:20.355156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 915e8a69-da39-4a92-b0bb-1519d220442b · outbound

This paper cites Hyperdiscriminant polytopes, C how polytopes, and M abuchi energy asymptotics.

The constant scalar curvature K\"ahler condition is very general Hyperdiscriminant polytopes, C how polytopes, and M abuchi energy asymptotics

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.593716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3075e070-15d1-4c9f-8f18-bd763fcc5962 · outbound

This paper cites On the generalized numerical criterion.

The constant scalar curvature K\"ahler condition is very general On the generalized numerical criterion

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.582529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9a279a8a-7f4e-4995-abf8-a4234868b98c · outbound

This paper cites CM Stability and the Generalized Futaki Invariant I.

The constant scalar curvature K\"ahler condition is very general CM Stability and the Generalized Futaki Invariant I

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-16T11:40:20.365969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fda04bc7-d793-4b7b-b80e-3463f7a6f17c · outbound

This paper cites A Hilbert--Mumford criterion for generalised Monge--Amp\`ere equations.

The constant scalar curvature K\"ahler condition is very general A Hilbert--Mumford criterion for generalised Monge--Amp\`ere equations

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:40:20.471792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 42d53e98-9057-41ab-bc31-7cfcfce6da01 · outbound

This paper cites K\"ahler- E instein metrics with positive scalar curvature.

The constant scalar curvature K\"ahler condition is very general K\"ahler- E instein metrics with positive scalar curvature

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-16T11:40:20.374253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53a73d6e-7ee2-4ca6-92b6-94bffdbc81ca · outbound

This paper cites Stability of pairs.

The constant scalar curvature K\"ahler condition is very general Stability of pairs

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:40:20.456054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1c3c73be-73c1-4d70-90ca-0c78daa73af2 · outbound

This paper cites K-stability implies CM -stability.

The constant scalar curvature K\"ahler condition is very general K-stability implies CM -stability

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.564451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7e52dca0-82b4-4a86-ab0a-08eb23eb486e · outbound

This paper cites Height and GIT weight.

The constant scalar curvature K\"ahler condition is very general Height and GIT weight

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.553236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6ec63382-faeb-4839-9798-6255d592053e · outbound

This paper cites Discriminants and Higher K-energies on Polarized K\"ahler Manifolds.

The constant scalar curvature K\"ahler condition is very general Discriminants and Higher K-energies on Polarized K\"ahler Manifolds

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:40:20.440132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2b50b52f-4f4a-4ede-a27d-070fd2dba7dc · outbound

This paper cites A minimizing valuation is quasi-monomial.

The constant scalar curvature K\"ahler condition is very general A minimizing valuation is quasi-monomial

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-16T11:40:20.392945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61db27c2-9d3f-4768-ad5d-29fe3fc9b79a · outbound

This paper cites K-stability of F ano varieties: an algebro-geometric approach.

The constant scalar curvature K\"ahler condition is very general K-stability of F ano varieties: an algebro-geometric approach

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-16T11:40:20.396457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f449cae-4a7e-478b-bf41-1bbd7936110a · outbound

This paper cites On positivity of the CM line bundle on K -moduli spaces.

The constant scalar curvature K\"ahler condition is very general On positivity of the CM line bundle on K -moduli spaces

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.527485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 042a39cb-9fac-4a2c-aec5-d562d16640c0 · outbound

This paper cites Open problems in geometry.

The constant scalar curvature K\"ahler condition is very general Open problems in geometry

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:40:20.515957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 1b0f5c32-3c9d-4c95-8a01-9077fc56309a · inbound

On the geometry of non-collapsed polarized cscK surfaces cites this paper.

On the geometry of non-collapsed polarized cscK surfaces The constant scalar curvature K\"ahler condition is very general

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-07-02T01:06:25.012422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation aad0d36b-ae9d-476d-b237-07093aeab014 · inbound

CscK metrics on birational models of projective varieties cites this paper.

CscK metrics on birational models of projective varieties The constant scalar curvature K\"ahler condition is very general

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T15:05:38.020963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.