Paper Citation Record · LEDGER

Toric Fano manifolds that do not admit extremal K\"ahler metrics

As of 13 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2411.17574.

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

pith.paper-citation-record.v1
2411.17574 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:03:52.351035Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

40 of 40 outbound references displayed

verified exact0
verified fuzzy30
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ee907fb8-2fb5-451e-a488-f5ec07c67672 · outbound

This paper cites Apostolov and H.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Apostolov and H

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:53.174700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bc0374b4-3d43-4006-aab7-f551ad5d54d6 · outbound

This paper cites an unresolved cited work.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:03:53.159243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 98463691-dc50-44fe-a66f-e10c7beba65b · outbound

This paper cites Aubin, \'Equations du type Monge--Amp\'ere sur les vari\'t\'es k\"ahleriennes compactes , C.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Aubin, \'Equations du type Monge--Amp\'ere sur les vari\'t\'es k\"ahleriennes compactes , C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:53.142827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6fdcc7e1-b272-4b25-88b3-d4caccad1bfa · outbound

This paper cites an unresolved cited work.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:03:53.126681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 181f4e99-3598-4277-9d95-3f74010ebf26 · outbound

This paper cites Calabi, Extremal K\"ahler metrics , Seminar on Differential Geometry, Ann.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Calabi, Extremal K\"ahler metrics , Seminar on Differential Geometry, Ann

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:53.110809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f136de7d-c3a5-4bef-ae27-bb892dd8a867 · outbound

This paper cites an unresolved cited work.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:03:53.094596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 31e8516e-8cdb-4f54-89e4-f3cdfc797e74 · outbound

This paper cites an unresolved cited work.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:03:53.079536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e5c5f70d-1176-481a-a543-7c0434af4b9a · outbound

This paper cites an unresolved cited work.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:03:53.062336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d4ff8975-021f-46ea-8772-9643f5ca83a2 · outbound

This paper cites an unresolved cited work.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:03:53.045851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6cf689fc-37b4-4ff5-aa86-8d7d3862eedb · outbound

This paper cites an unresolved cited work.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:03:53.029369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9ec4aadd-592c-4a0b-bb51-97029a0a0d29 · outbound

This paper cites Guillemin and S.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Guillemin and S

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:53.009768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 935ace3a-fc50-4c17-8744-dba9615a37f5 · outbound

This paper cites Guillemin and S.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Guillemin and S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.993549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 32cd92d4-43ac-478e-ac52-d01093f445ea · outbound

This paper cites Han and C.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Han and C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.977855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 441c9e3f-0109-41d7-a6c1-ce963ef600f7 · outbound

This paper cites Hisamoto, Mabuchi's soliton metric and relative D-stability , Amer.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Hisamoto, Mabuchi's soliton metric and relative D-stability , Amer

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.840796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5e918139-5c7f-40cb-b463-74089a56e071 · outbound

This paper cites Huang, A splitting theorem on toric manifolds , Math.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Huang, A splitting theorem on toric manifolds , Math

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.824590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 29a44fd1-82da-46a6-8baf-eca4c0e01ee5 · outbound

This paper cites Baldoni, N.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Baldoni, N

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.808143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f408ee6c-8651-4ded-8a73-e3f56ef50c2a · outbound

This paper cites Levine, A remark on extremal K\"ahler metrics.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Levine, A remark on extremal K\"ahler metrics

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.791331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dc400abb-7d25-41ee-a4ce-2eddc64f5dd7 · outbound

This paper cites Mabuchi, Open problems in K\"ahler-Einstein Geometry: Taword a resolution of the Donaldson-Tian-Yau conjecture.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Mabuchi, Open problems in K\"ahler-Einstein Geometry: Taword a resolution of the Donaldson-Tian-Yau conjecture

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.775634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3425b1db-959a-4d54-9d07-e544cda7a794 · outbound

This paper cites Mabuchi, Test configurations, stabilities and canonical K\"ahler metrics—complex geometry by the energy method , Springer Briefs Math.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Mabuchi, Test configurations, stabilities and canonical K\"ahler metrics—complex geometry by the energy method , Springer Briefs Math

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.760064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bf4006d1-d7b7-40d0-af69-d78f8b8863c3 · outbound

This paper cites Matsushima, Sur la structure du groupe d'hom\' e omorphismes analytiques d'une certaine vari\' e t\' e k\" a hl\' e rienne , Nagoya Math.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Matsushima, Sur la structure du groupe d'hom\' e omorphismes analytiques d'une certaine vari\' e t\' e k\" a hl\' e rienne , Nagoya Math

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.744505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 57610d36-296d-4506-87c2-0cd8445d225a · outbound

This paper cites Miao, and G.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Miao, and G

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.729318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 18e58bf4-55b2-4f6a-8e97-05952c9c3f6d · outbound

This paper cites Nakamura, Private communication.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Nakamura, Private communication

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.712929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6a6aaca1-9507-4292-8c8b-86f0dfaa6926 · outbound

This paper cites Nitta, S.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Nitta, S

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.696281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation baf4ae21-0a0b-41f3-9c88-03728e46a04d · outbound

This paper cites Paffenholz, Smooth Reflexive Lattice Polytopes , \\ https://polymake.org/polytopes/paffenholz/www/fano.html.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Paffenholz, Smooth Reflexive Lattice Polytopes , \\ https://polymake.org/polytopes/paffenholz/www/fano.html

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.680564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5721cee1-fe37-479e-9b62-3feae627e6e0 · outbound

This paper cites Reid, Decomposition of toric morphisms , Arithmetic and geometry, Vol.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Reid, Decomposition of toric morphisms , Arithmetic and geometry, Vol

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.662005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 054d49a3-67a3-423d-b6dd-56c4edc159aa · outbound

This paper cites an unresolved cited work.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:03:52.646138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 703f3eff-168d-41ae-bc1f-5092655dfc77 · outbound

This paper cites Shi and X.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Shi and X

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.629729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 265033c7-dd2f-4dd2-99bb-ce8c675509fd · outbound

This paper cites Stoppa and G.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Stoppa and G

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.613524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a6f46fb7-1a65-4f7a-a6c1-ae20a749908f · outbound

This paper cites Sz\'ekelyhidi, Extremal metrics and K-stability , Bull.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Sz\'ekelyhidi, Extremal metrics and K-stability , Bull

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.596354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4da2e1f6-0134-4716-bd02-f4391647a206 · outbound

This paper cites Sano and C.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Sano and C

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.579722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 276f5015-ed26-4945-b0f2-1fd030695fdd · outbound

This paper cites ahler Geometry , Lectures in Mathematics. ETH Z\.

Toric Fano manifolds that do not admit extremal K\"ahler metrics ahler Geometry , Lectures in Mathematics. ETH Z\

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.563019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f4e4a258-da6c-40d5-8663-5e6586cbe1bb · outbound

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

Toric Fano manifolds that do not admit extremal K\"ahler metrics Tian, K-stability and K\"ahler--Einstein metrics , Commun

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.543984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a396c498-e1ab-473f-b330-fdf9bd9cb5bc · outbound

This paper cites an unresolved cited work.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:03:52.527449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cf262f5c-3180-4568-93bb-038e80966af7 · outbound

This paper cites Yao, Mabuchi solitons and relative Ding stability of toric Fano varieties , Int.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Yao, Mabuchi solitons and relative Ding stability of toric Fano varieties , Int

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.503479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 049e50f6-188b-4f18-8c2f-8a3ca75460d7 · outbound

This paper cites Yao, Relative Ding stability and an obstruction to the existence of Mabuchi solitons , J.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Yao, Relative Ding stability and an obstruction to the existence of Mabuchi solitons , J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.485401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c74c39ec-bf9d-4f7f-a217-1710449a9991 · outbound

This paper cites an unresolved cited work.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:03:52.466644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d18c02db-bd84-47e1-9e9d-1ab20b32074c · outbound

This paper cites Yotsutani, Asymptotic Chow semistability implies Ding polystability for Gorenstein toric Fano varieties , Mathematics 11 , 19 (2023), 4114.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Yotsutani, Asymptotic Chow semistability implies Ding polystability for Gorenstein toric Fano varieties , Mathematics 11 , 19 (2023), 4114

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.446497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2c34a728-8872-44be-92d4-a3165274daf6 · outbound

This paper cites Yotsutani and B.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Yotsutani and B

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.427640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cbb4128e-9497-4b5b-8920-e15200c7e71e · outbound

This paper cites Yotsutani and B.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Yotsutani and B

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.410958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7e01db54-24b6-42c4-a7b4-f9bd2669cd97 · outbound

This paper cites Zhou and X.

Toric Fano manifolds that do not admit extremal K\"ahler metrics Zhou and X

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:52.391830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.