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Paper Citation Record · LEDGER

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations

As of 14 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:1909.02452.

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pith.paper-citation-record.v1
1909.02452 v3

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:05:58.038167Z

measured 31 of 31 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

31 of 31 outbound references displayed

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  • verified fuzzy18
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 39db5e13-610a-4214-8647-affee9487aa2 · outbound

This paper cites A variational approach to the Yau-Tian-Donaldson conjecture.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations A variational approach to the Yau-Tian-Donaldson conjecture

Reference 1

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T05:05:57.929923Z digest=sha256:425949caf96681f6d3f5bf0904d41e0b880233ae8f91e3e7d0bc4a7f88aa545f

Observation 3f25c01f-47a3-4dba-8491-f36c0067d61a · outbound

This paper cites Boucksom, T.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Boucksom, T

Reference 2

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:05:57.934586Z digest=sha256:5a557a3cb24b1733b25113e9b2d6251903fc0c35f9069ea22adf52d24a6b0aac

Observation e8f65a93-f4b0-4ef8-8f11-eb1f002c9dfc · outbound

This paper cites Boucksom T.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Boucksom T

Reference 3

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Observation 874e4b23-f3ff-4ee5-a29f-44f4f5634ad4 · outbound

This paper cites Singularities of linear systems and boundedness of Fano varieties.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Singularities of linear systems and boundedness of Fano varieties

Reference 4

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no resolver link, observed 2026-08-14T05:05:57.941652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T05:05:57.941652Z digest=sha256:dd373acaa14fde14888e90f8ca6d30b9841becc56d3e8ce24e636359d63559b8

Observation b691506d-6a46-4aaf-9ad1-a2ba13820b86 · outbound

This paper cites A non-Archimedean approach to K-stability.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations A non-Archimedean approach to K-stability

Reference 5

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no resolver link, observed 2026-08-14T05:05:57.945895Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T05:05:57.945895Z digest=sha256:b7c1d8ec6a5042f0ea1a93942f86d71009d2bfb7d260c7fd9e63911886541230

Observation 16ce16c9-704a-453b-8426-80abb13ae11e · outbound

This paper cites Complex optimal transport and the pluripotential theory of K\"ahler-Ricci solitons.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Complex optimal transport and the pluripotential theory of K\"ahler-Ricci solitons

Reference 6

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T05:05:57.950094Z digest=sha256:7a462f96d2aed0cd0223859cc03464991c57e5b14f5fbf2e978e98af380e78d3

Observation 0dfe0390-bc6c-407d-b9d1-ad4a09c548bc · outbound

This paper cites Campana \'e retionnelle des vari\'et\'es de Fano.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Campana \'e retionnelle des vari\'et\'es de Fano

Reference 7

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 53f53c5c-7081-43aa-8d93-5bc0d84077dc · outbound

This paper cites an unresolved cited work.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Unresolved cited work

Reference 8

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation f1e0d3e2-27ac-4d08-90a9-5036b1831155 · outbound

This paper cites an unresolved cited work.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Unresolved cited work

Reference 9

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Observation 81df4bc9-228e-4b4d-a04d-4cd2e660ca8b · outbound

This paper cites an unresolved cited work.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Unresolved cited work

Reference 10

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Observation e1047685-cc1f-4163-8647-3f1f30f1f041 · outbound

This paper cites ahler-Ricci flow, K\.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations ahler-Ricci flow, K\

Reference 11

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation b3fbb810-6bc8-4a38-80e2-b798bfec5860 · outbound

This paper cites Space of Ricci flows (II).

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Space of Ricci flows (II)

Reference 12

Resolution
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 5489b1ba-4d96-40f1-9b9b-dac80fc1ae94 · outbound

This paper cites Delcroix: K\"ahler-Einstein metrics on group compactifications.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Delcroix: K\"ahler-Einstein metrics on group compactifications

Reference 13

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Observation cb91835e-a06b-4737-a656-9e6cd3dbb4be · outbound

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

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Dervan: Uniform stability of twisted constant scalar curvature K\"ahler metrics

Reference 14

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation a86ccfb7-5f93-459a-b685-205385dcfbf1 · outbound

This paper cites Donaldson and S.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Donaldson and S

Reference 15

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 278c23c2-23bc-41ec-9ec1-2496a1a7798b · outbound

This paper cites Datar and G.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Datar and G

Reference 16

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:05:57.988992Z digest=sha256:15ff7457464660863e1e00630b05a102b1a970f4864947818279164e36d2eda0

Observation 34f8f1f3-3c1b-4c57-a5e4-99d724379f14 · outbound

This paper cites The K\"ahler-Ricci flow and optimal degenerations.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations The K\"ahler-Ricci flow and optimal degenerations

Reference 17

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 38e8230f-b28e-424b-87f0-e2c5ffee9453 · outbound

This paper cites A valuative criterion for uniform K-stability of $\mathbb{Q}$-Fano varieties.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations A valuative criterion for uniform K-stability of $\mathbb{Q}$-Fano varieties

Reference 18

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:05:57.995741Z digest=sha256:fbc14691ac86ef77f5174035fad11ed4764597f9d3ed53ef56b68cbbfa70d2d8

Observation af59502b-eb95-42d0-aa6a-99c5ffd3d452 · outbound

This paper cites He: K\"ahler-Ricci solitons and the H -functional Asian J.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations He: K\"ahler-Ricci solitons and the H -functional Asian J

Reference 19

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 69de595e-f3dc-4669-9841-be07fc53b3e2 · outbound

This paper cites Geometric flow, Multiplier ideal sheaves and Optimal destabilizer for a Fano manifold.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Geometric flow, Multiplier ideal sheaves and Optimal destabilizer for a Fano manifold

Reference 20

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:05:58.002193Z digest=sha256:b88f2e0a15395fff16e0f83e12a3be8c92e76be75eaffe90eda6642c56cb221e

Observation cf09debd-34c5-4e1d-8cde-ee8ad967c92d · outbound

This paper cites Ivey: Ricci solitons on compact three-manifolds.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Ivey: Ricci solitons on compact three-manifolds

Reference 21

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:05:58.005475Z digest=sha256:f93c5d060873f128131dbdff48f67db24eabdc03b149c8430fc165fd8c96bff8

Observation 8ae5b3f0-6552-41a9-85fe-2c8a9fe84ffc · outbound

This paper cites Koll\'ar, Y.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Koll\'ar, Y

Reference 22

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:05:58.008174Z digest=sha256:4b9e1eb4dd904f946f0d508e22bd14cf30ff1a891f7c46b08a04243e5d81e37e

Observation 180b4314-4c7f-47ac-ade8-5c002003a6bc · outbound

This paper cites Kobayashi: Transformation groups in differential geometry.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Kobayashi: Transformation groups in differential geometry

Reference 23

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source=arxiv_source observed=2026-08-14T05:05:58.011034Z digest=sha256:92e55041f60219947dafd82219909e7a84b34c8eb0d49e516a2b6417057d3dae

Observation 2244e58c-2865-4785-b495-c3991d32027a · outbound

This paper cites Li: Greatest lower bound on Ricci curvature for toric Fano manifolds.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Li: Greatest lower bound on Ricci curvature for toric Fano manifolds

Reference 24

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:05:58.014717Z digest=sha256:bf69c8606c9fbe1932e5e3ace84d3992b300c577c8dd4ff2647c6de2c74332a4

Observation 0362be0f-1481-413f-bffb-d51c83b4d512 · outbound

This paper cites Li: Yau-Tian-Donaldson correspondence for K-semistable Fano manifolds.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Li: Yau-Tian-Donaldson correspondence for K-semistable Fano manifolds

Reference 25

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Observation 93710edb-0b1f-4350-a64f-970995eacbbe · outbound

This paper cites an unresolved cited work.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Unresolved cited work

Reference 26

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Observation 9c5d78fa-5693-45e6-a9a2-bf597ff322cc · outbound

This paper cites an unresolved cited work.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Unresolved cited work

Reference 27

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Observation b1e3cbc2-780d-463e-b6c2-eaaecd1a87ca · outbound

This paper cites Sz\'ekelyhidi: Greatest lower bounds on the Ricci curvature of Fano manifolds.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Sz\'ekelyhidi: Greatest lower bounds on the Ricci curvature of Fano manifolds

Reference 28

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:05:58.027569Z digest=sha256:009b8f25b308539be5979752c3c9ca7a6c24b092f8783cfd878ee25442133078

Observation c3726c38-d559-4eb7-af8c-8576b3444cd0 · outbound

This paper cites Tian: K\"ahler-Einstein metrics with positive scalar curvature.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Tian: K\"ahler-Einstein metrics with positive scalar curvature

Reference 29

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T05:05:58.031061Z digest=sha256:a7a460be219cdb58a33784e62213db429ec3709faac60bd15a7104be7bb82cbd

Observation f08ef152-bfc7-47e5-936e-b6d7d59d0237 · outbound

This paper cites Tian: K-stability and K\"ahler-Einstein metrics.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Tian: K-stability and K\"ahler-Einstein metrics

Reference 30

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation b9784028-bf7d-4879-b345-ee444b142caa · outbound

This paper cites Tian and X.

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations Tian and X

Reference 31

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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